TSTP Solution File: SWW372+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW372+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 : n013.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 18:08:41 EDT 2024
% Result : Theorem 163.20s 162.96s
% Output : CNFRefutation 163.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW372+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 09:16:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 162.72/162.79 %-------------------------------------------
% 162.72/162.79 % File :CSE---1.7
% 162.72/162.79 % Problem :theBenchmark
% 162.72/162.79 % Transform :cnf
% 162.72/162.79 % Format :tptp:raw
% 162.72/162.79 % Command :java -jar mcs_scs.jar %d %s
% 162.72/162.79
% 162.72/162.79 % Result :Theorem 145.190000s
% 162.72/162.79 % Output :CNFRefutation 145.190000s
% 162.72/162.79 %-------------------------------------------
% 162.72/162.80 %------------------------------------------------------------------------------
% 162.72/162.80 % File : SWW372+1 : TPTP v8.2.0. Released v5.2.0.
% 162.72/162.80 % Domain : Software Verification
% 162.72/162.80 % Problem : Hoare's Logic with Procedures 435523, 5000 axioms selected
% 162.72/162.80 % Version : Especial.
% 162.72/162.80 % English :
% 162.72/162.80
% 162.72/162.80 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 162.72/162.80 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 162.72/162.80 % Source : [Bla11]
% 162.72/162.80 % Names : hoare_435523.5000.p [Bla11]
% 162.72/162.80
% 162.72/162.80 % Status : ContradictoryAxioms
% 162.72/162.80 % Rating : 0.83 v8.2.0, 0.78 v8.1.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 1.00 v5.2.0
% 162.72/162.80 % Syntax : Number of formulae : 5251 (1740 unt; 0 def)
% 162.72/162.80 % Number of atoms : 12617 (4519 equ)
% 162.72/162.80 % Maximal formula atoms : 13 ( 2 avg)
% 162.72/162.80 % Number of connectives : 8383 (1017 ~; 154 |; 719 &)
% 162.72/162.80 % ( 891 <=>;5602 =>; 0 <=; 0 <~>)
% 162.72/162.80 % Maximal formula depth : 22 ( 6 avg)
% 162.72/162.80 % Maximal term depth : 19 ( 2 avg)
% 162.72/162.80 % Number of predicates : 148 ( 147 usr; 2 prp; 0-7 aty)
% 162.72/162.81 % Number of functors : 392 ( 392 usr; 56 con; 0-7 aty)
% 162.72/162.81 % Number of variables : 16677 (16533 !; 144 ?)
% 162.72/162.81 % SPC : FOF_CAX_RFO_SEQ
% 162.72/162.81
% 162.72/162.81 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 162.72/162.81 % 2011-03-01 12:46:18
% 162.72/162.81 %------------------------------------------------------------------------------
% 162.72/162.81 %----Relevant facts (4986)
% 162.72/162.81 fof(fact_ext,axiom,
% 162.72/162.81 ! [V_g_2,V_f_2] :
% 162.72/162.81 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 162.72/162.81 => V_f_2 = V_g_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_empty,axiom,
% 162.72/162.81 ! [V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 162.72/162.81 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_cut,axiom,
% 162.72/162.81 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 162.72/162.81 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_G_H_2)
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_hoare__derivs_Oinsert,axiom,
% 162.72/162.81 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.81 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_derivs__insertD,axiom,
% 162.72/162.81 ! [V_ts_2,V_t_2,V_G_2,T_a] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
% 162.72/162.81 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.81 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insertE,axiom,
% 162.72/162.81 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 162.72/162.81 => ( V_a_2 != V_b_2
% 162.72/162.81 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insertCI,axiom,
% 162.72/162.81 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 162.72/162.81 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 162.72/162.81 => V_a_2 = V_b_2 )
% 162.72/162.81 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_emptyE,axiom,
% 162.72/162.81 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_MGF__lemma1,axiom,
% 162.72/162.81 ! [V_ca_2,V_G_2] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 162.72/162.81 => ( ! [B_x] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )
% 162.72/162.81 => ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_singleton__iff,axiom,
% 162.72/162.81 ! [V_a_2,V_b_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 162.72/162.81 <=> V_b_2 = V_a_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_singletonE,axiom,
% 162.72/162.81 ! [V_a_2,V_b_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 162.72/162.81 => V_b_2 = V_a_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_MGT__BodyN,axiom,
% 162.72/162.81 ! [V_G_2,V_pn_2] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,V_pn_2))),V_G_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_equalityCE,axiom,
% 162.72/162.81 ! [V_ca_2,T_a,V_B_2,V_A_2] :
% 162.72/162.81 ( V_A_2 = V_B_2
% 162.72/162.81 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.72/162.81 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) )
% 162.72/162.81 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.72/162.81 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_empty__not__insert,axiom,
% 162.72/162.81 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__not__empty,axiom,
% 162.72/162.81 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_doubleton__eq__iff,axiom,
% 162.72/162.81 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 162.72/162.81 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 162.72/162.81 <=> ( ( V_a_2 = V_ca_2
% 162.72/162.81 & V_b_2 = V_d_2 )
% 162.72/162.81 | ( V_a_2 = V_d_2
% 162.72/162.81 & V_b_2 = V_ca_2 ) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_singleton__inject,axiom,
% 162.72/162.81 ! [V_b_2,V_a_2,T_a] :
% 162.72/162.81 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 162.72/162.81 => V_a_2 = V_b_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_eq__mem__trans,axiom,
% 162.72/162.81 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 162.72/162.81 ( V_a_2 = V_b_2
% 162.72/162.81 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 162.72/162.81 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_eqelem__imp__iff,axiom,
% 162.72/162.81 ! [V_A_2,T_a,V_y_2,V_x_2] :
% 162.72/162.81 ( V_x_2 = V_y_2
% 162.72/162.81 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.72/162.81 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_eqset__imp__iff,axiom,
% 162.72/162.81 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 162.72/162.81 ( V_A_2 = V_B_2
% 162.72/162.81 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.72/162.81 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_mem__def,axiom,
% 162.72/162.81 ! [V_A_2,V_x_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.72/162.81 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__code,axiom,
% 162.72/162.81 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))
% 162.72/162.81 <=> ( V_y_2 = V_x_2
% 162.72/162.81 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__commute,axiom,
% 162.72/162.81 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__absorb2,axiom,
% 162.72/162.81 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_equals0D,axiom,
% 162.72/162.81 ! [V_a_2,T_a,V_A_2] :
% 162.72/162.81 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.72/162.81 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_empty__iff,axiom,
% 162.72/162.81 ! [V_ca_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_ex__in__conv,axiom,
% 162.72/162.81 ! [V_A_2,T_a] :
% 162.72/162.81 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.72/162.81 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_all__not__in__conv,axiom,
% 162.72/162.81 ! [V_A_2,T_a] :
% 162.72/162.81 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.72/162.81 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__absorb,axiom,
% 162.72/162.81 ! [V_A_2,V_a_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.72/162.81 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insertI2,axiom,
% 162.72/162.81 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 162.72/162.81 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__ident,axiom,
% 162.72/162.81 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 162.72/162.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.72/162.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.72/162.81 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)
% 162.72/162.81 <=> V_A_2 = V_B_2 ) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insert__iff,axiom,
% 162.72/162.81 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 162.72/162.81 <=> ( V_a_2 = V_b_2
% 162.72/162.81 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_insertI1,axiom,
% 162.72/162.81 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_the__elem__eq,axiom,
% 162.72/162.81 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ).
% 162.72/162.81
% 162.72/162.81 fof(fact_BodyN,axiom,
% 162.72/162.81 ! [V_G_2,V_Q_2,V_pn_2,V_P_2,T_a] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_G_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_weak__Body,axiom,
% 162.72/162.81 ! [V_Q_2,V_pn_2,V_P_2,V_G_2,T_a] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_bot__apply,axiom,
% 162.72/162.81 ! [V_x_2,T_b,T_a] :
% 162.72/162.81 ( class_Orderings_Obot(T_a)
% 162.72/162.81 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_com_Osimps_I6_J,axiom,
% 162.72/162.81 ! [V_pname_H_2,V_pname_2] :
% 162.72/162.81 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 162.72/162.81 <=> V_pname_2 = V_pname_H_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_MGF__complete,axiom,
% 162.72/162.81 ! [V_Q_2,V_P_2,V_ca_2] :
% 162.72/162.81 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 162.72/162.81 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 162.72/162.81 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_eq__mem,axiom,
% 162.72/162.81 ! [V_y_2,V_x_2,T_a] :
% 162.72/162.81 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 162.72/162.81 <=> V_x_2 = V_y_2 ) ).
% 162.72/162.81
% 162.72/162.81 fof(fact_evalc_OBody,axiom,
% 162.72/162.81 ! [V_s1,V_s0,V_pn] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc__elim__cases_I6_J,axiom,
% 162.72/162.82 ! [V_s1,V_s,V_P] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT__bodiesD,axiom,
% 162.72/162.82 ! [V_b,V_pn] :
% 162.72/162.82 ( c_Com_OWT__bodies
% 162.72/162.82 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
% 162.72/162.82 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimage__singleton__eq,axiom,
% 162.72/162.82 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 162.72/162.82 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_hoare__sound,axiom,
% 162.72/162.82 ! [V_ts_2,V_G_2,T_a] :
% 162.72/162.82 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2)
% 162.72/162.82 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,V_ts_2) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimageI,axiom,
% 162.72/162.82 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] :
% 162.72/162.82 ( hAPP(V_f_2,V_a_2) = V_b_2
% 162.72/162.82 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimage__code,axiom,
% 162.72/162.82 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2))
% 162.72/162.82 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com__det,axiom,
% 162.72/162.82 ! [V_u,V_t,V_s,V_c] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 162.72/162.82 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 162.72/162.82 => V_u = V_t ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_triple_Oinject,axiom,
% 162.72/162.82 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] :
% 162.72/162.82 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 162.72/162.82 <=> ( V_fun1_2 = V_fun1_H_2
% 162.72/162.82 & V_com_2 = V_com_H_2
% 162.72/162.82 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimage__eq,axiom,
% 162.72/162.82 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)))
% 162.72/162.82 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimageD,axiom,
% 162.72/162.82 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimageI2,axiom,
% 162.72/162.82 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimage__empty,axiom,
% 162.72/162.82 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_Oequations_I7_J,axiom,
% 162.72/162.82 ! [V_a_2] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))
% 162.72/162.82 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc_Oequations_I9_J,axiom,
% 162.72/162.82 ! [V_a3_2,V_a2_2,V_a1_2] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 162.72/162.82 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_insert__dom,axiom,
% 162.72/162.82 ! [T_b,V_y_2,T_a,V_x_2,V_f_2] :
% 162.72/162.82 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 162.72/162.82 => hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) = c_Map_Odom(T_b,T_a,V_f_2) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_domI,axiom,
% 162.72/162.82 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 162.72/162.82 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WTs__elim__cases_I7_J,axiom,
% 162.72/162.82 ! [V_P] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P)))
% 162.72/162.82 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_the_Osimps,axiom,
% 162.72/162.82 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ).
% 162.72/162.82
% 162.72/162.82 fof(fact_triple_Osimps_I2_J,axiom,
% 162.72/162.82 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_triple_Orecs,axiom,
% 162.72/162.82 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_hoare__derivs_OSkip,axiom,
% 162.72/162.82 ! [V_P_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 162.72/162.82 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_conseq2,axiom,
% 162.72/162.82 ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_G_2,T_a] :
% 162.72/162.82 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.82 => ( ! [B_Z,B_s] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 162.72/162.82 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 162.72/162.82 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_conseq1,axiom,
% 162.72/162.82 ! [V_P_2,V_Q_2,V_ca_2,V_P_H_2,V_G_2,T_a] :
% 162.72/162.82 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.82 => ( ! [B_Z,B_s] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 162.72/162.82 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 162.72/162.82 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Comp,axiom,
% 162.72/162.82 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_P_2,V_G_2,T_a] :
% 162.72/162.82 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.82 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 162.72/162.82 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Option_Oset_Osimps_I2_J,axiom,
% 162.72/162.82 ! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc_OSemi,axiom,
% 162.72/162.82 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 162.72/162.82 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc_OSkip,axiom,
% 162.72/162.82 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc__elim__cases_I1_J,axiom,
% 162.72/162.82 ! [V_t,V_s] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 162.72/162.82 => V_t = V_s ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WTs__elim__cases_I4_J,axiom,
% 162.72/162.82 ! [V_c2,V_c1] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2)))
% 162.72/162.82 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 162.72/162.82 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I3_J,axiom,
% 162.72/162.82 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 162.72/162.82 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 162.72/162.82 <=> ( V_com1_2 = V_com1_H_2
% 162.72/162.82 & V_com2_2 = V_com2_H_2 ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I13_J,axiom,
% 162.72/162.82 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I12_J,axiom,
% 162.72/162.82 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc_Oequations_I4_J,axiom,
% 162.72/162.82 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 162.72/162.82 <=> ? [B_s1] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 162.72/162.82 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_OSemi,axiom,
% 162.72/162.82 ! [V_c1,V_c0] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,V_c0))
% 162.72/162.82 => ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 162.72/162.82 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_Oequations_I4_J,axiom,
% 162.72/162.82 ! [V_a2_2,V_a1_2] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2)))
% 162.72/162.82 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 162.72/162.82 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I48_J,axiom,
% 162.72/162.82 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I49_J,axiom,
% 162.72/162.82 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc_Oequations_I1_J,axiom,
% 162.72/162.82 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_Oequations_I1_J,axiom,
% 162.72/162.82 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I19_J,axiom,
% 162.72/162.82 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I18_J,axiom,
% 162.72/162.82 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_OSkip,axiom,
% 162.72/162.82 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_elem__set,axiom,
% 162.72/162.82 ! [V_xo_2,V_x_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Option_Oset(T_a,V_xo_2)))
% 162.72/162.82 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_option_Oinject,axiom,
% 162.72/162.82 ! [V_a_H_2,V_a_2,T_a] :
% 162.72/162.82 ( hAPP(c_Option_Ooption_OSome(T_a),V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_a_H_2)
% 162.72/162.82 <=> V_a_2 = V_a_H_2 ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_option_Orecs_I2_J,axiom,
% 162.72/162.82 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_option_Osimps_I5_J,axiom,
% 162.72/162.82 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_ranI,axiom,
% 162.72/162.82 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 162.72/162.82 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_is__none__code_I2_J,axiom,
% 162.72/162.82 ! [V_x,T_b] : ~ c_Option_Ois__none(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_domD,axiom,
% 162.72/162.82 ! [V_m_2,T_b,V_a_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))
% 162.72/162.82 => ? [B_b] : hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_b),B_b) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_evalc__elim__cases_I4_J,axiom,
% 162.72/162.82 ! [V_t,V_s,V_c2,V_c1] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 162.72/162.82 => ~ ! [B_s1] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 162.72/162.82 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_finite__dom__body,axiom,
% 162.72/162.82 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimageE,axiom,
% 162.72/162.82 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WT_OBody,axiom,
% 162.72/162.82 ! [V_pn] :
% 162.72/162.82 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)
% 162.72/162.82 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_ospec,axiom,
% 162.72/162.82 ! [V_x_2,V_P_2,V_A_2,T_a] :
% 162.72/162.82 ( ! [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Option_Oset(T_a,V_A_2)))
% 162.72/162.82 => hBOOL(hAPP(V_P_2,B_x)) )
% 162.72/162.82 => ( V_A_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.72/162.82 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_WTs__elim__cases_I8_J,axiom,
% 162.72/162.82 ! [V_a_2,V_P_2,V_X_2] :
% 162.72/162.82 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_P_2,V_a_2)))
% 162.72/162.82 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_vimage__insert,axiom,
% 162.72/162.82 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_sup1E,axiom,
% 162.72/162.82 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 162.72/162.82 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 162.72/162.82 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_sup1CI,axiom,
% 162.72/162.82 ! [T_a,V_A_2,V_x_2,V_B_2] :
% 162.72/162.82 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 162.72/162.82 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 162.72/162.82 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_UnE,axiom,
% 162.72/162.82 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.72/162.82 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_UnCI,axiom,
% 162.72/162.82 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 162.72/162.82 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) )
% 162.72/162.82 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_is__none__code_I1_J,axiom,
% 162.72/162.82 ! [T_a] : c_Option_Ois__none(T_a,c_Option_Ooption_ONone(T_a)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_is__none__def,axiom,
% 162.72/162.82 ! [V_x_2,T_a] :
% 162.72/162.82 ( c_Option_Ois__none(T_a,V_x_2)
% 162.72/162.82 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_option_Orecs_I1_J,axiom,
% 162.72/162.82 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 162.72/162.82
% 162.72/162.82 fof(fact_option_Osimps_I4_J,axiom,
% 162.72/162.82 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Un__absorb,axiom,
% 162.72/162.82 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Un__commute,axiom,
% 162.72/162.82 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Un__left__absorb,axiom,
% 162.72/162.82 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Un__left__commute,axiom,
% 162.72/162.82 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_Un__assoc,axiom,
% 162.72/162.82 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_bex__Un,axiom,
% 162.72/162.82 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 162.72/162.82 ( ? [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.72/162.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 162.72/162.82 <=> ( ? [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.72/162.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 162.72/162.82 | ? [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 162.72/162.82 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_ball__Un,axiom,
% 162.72/162.82 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 162.72/162.82 ( ! [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.72/162.82 => hBOOL(hAPP(V_P_2,B_x)) )
% 162.72/162.82 <=> ( ! [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.72/162.82 => hBOOL(hAPP(V_P_2,B_x)) )
% 162.72/162.82 & ! [B_x] :
% 162.72/162.82 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 162.72/162.82 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_com_Osimps_I7_J,axiom,
% 162.72/162.82 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] :
% 162.72/162.82 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2)
% 162.72/162.82 <=> ( V_vname_2 = V_vname_H_2
% 162.72/162.82 & V_pname_2 = V_pname_H_2
% 162.72/162.82 & V_fun_2 = V_fun_H_2 ) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_sup1I1,axiom,
% 162.72/162.82 ! [V_B_2,T_a,V_x_2,V_A_2] :
% 162.72/162.82 ( hBOOL(hAPP(V_A_2,V_x_2))
% 162.72/162.82 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 162.72/162.82
% 162.72/162.82 fof(fact_sup1I2,axiom,
% 162.72/162.82 ! [V_A_2,T_a,V_x_2,V_B_2] :
% 162.72/162.83 ( hBOOL(hAPP(V_B_2,V_x_2))
% 162.72/162.83 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__iff,axiom,
% 162.72/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.72/162.83 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.72/162.83 | hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_UnI1,axiom,
% 162.72/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.72/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_UnI2,axiom,
% 162.72/162.83 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 162.72/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__empty__left,axiom,
% 162.72/162.83 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__empty__right,axiom,
% 162.72/162.83 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__empty,axiom,
% 162.72/162.83 ! [V_B_2,V_A_2,T_a] :
% 162.72/162.83 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.72/162.83 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.72/162.83 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__insert__right,axiom,
% 162.72/162.83 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Un__insert__left,axiom,
% 162.72/162.83 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_not__None__eq,axiom,
% 162.72/162.83 ! [T_a,V_x_2] :
% 162.72/162.83 ( V_x_2 != c_Option_Ooption_ONone(T_a)
% 162.72/162.83 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_a),B_y) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_not__Some__eq,axiom,
% 162.72/162.83 ! [T_a,V_x_2] :
% 162.72/162.83 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_a),B_y)
% 162.72/162.83 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_option_Osimps_I3_J,axiom,
% 162.72/162.83 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_option_Osimps_I2_J,axiom,
% 162.72/162.83 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_vimage__Un,axiom,
% 162.72/162.83 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I62_J,axiom,
% 162.72/162.83 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : hAPP(c_Com_Ocom_OBODY,V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I63_J,axiom,
% 162.72/162.83 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != hAPP(c_Com_Ocom_OBODY,V_pname_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I50_J,axiom,
% 162.72/162.83 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I51_J,axiom,
% 162.72/162.83 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I20_J,axiom,
% 162.72/162.83 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_com_Osimps_I21_J,axiom,
% 162.72/162.83 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 162.72/162.83
% 162.72/162.83 fof(fact_insert__is__Un,axiom,
% 162.72/162.83 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_domIff,axiom,
% 162.72/162.83 ! [V_m_2,T_b,V_a_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))
% 162.72/162.83 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_Option_Oset_Osimps_I1_J,axiom,
% 162.72/162.83 ! [T_a] : c_Option_Oset(T_a,c_Option_Ooption_ONone(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_set__empty__eq,axiom,
% 162.72/162.83 ! [V_xo_2,T_a] :
% 162.72/162.83 ( c_Option_Oset(T_a,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.72/162.83 <=> V_xo_2 = c_Option_Ooption_ONone(T_a) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_WT_Oequations_I8_J,axiom,
% 162.72/162.83 ! [V_a3_2,V_a1_2,V_a2_2] :
% 162.72/162.83 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_a2_2,V_a1_2,V_a3_2)))
% 162.72/162.83 <=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a1_2))) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_WT_OCall,axiom,
% 162.72/162.83 ! [V_a_2,V_X_2,V_pn_2] :
% 162.72/162.83 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn_2)))
% 162.72/162.83 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_pn_2,V_a_2))) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite_OinsertI,axiom,
% 162.72/162.83 ! [V_a_2,V_A_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.72/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite_OemptyI,axiom,
% 162.72/162.83 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_sup__apply,axiom,
% 162.72/162.83 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 162.72/162.83 ( class_Lattices_Olattice(T_a)
% 162.72/162.83 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite__UnI,axiom,
% 162.72/162.83 ! [V_G_2,V_F_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.72/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2))
% 162.72/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2))) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite__Un,axiom,
% 162.72/162.83 ! [V_G_2,V_F_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2)))
% 162.72/162.83 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.72/162.83 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite__insert,axiom,
% 162.72/162.83 ! [V_A_2,V_a_2,T_a] :
% 162.72/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)))
% 162.72/162.83 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_sup__bot__left,axiom,
% 162.72/162.83 ! [V_x,T_a] :
% 162.72/162.83 ( class_Lattices_Obounded__lattice__bot(T_a)
% 162.72/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_sup__bot__right,axiom,
% 162.72/162.83 ! [V_x,T_a] :
% 162.72/162.83 ( class_Lattices_Obounded__lattice__bot(T_a)
% 162.72/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_sup__eq__bot__iff,axiom,
% 162.72/162.83 ! [V_y_2,V_x_2,T_a] :
% 162.72/162.83 ( class_Lattices_Obounded__lattice__bot(T_a)
% 162.72/162.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 162.72/162.83 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a)
% 162.72/162.83 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_finite_Oequations_I1_J,axiom,
% 162.72/162.83 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_map__comp__None__iff,axiom,
% 162.72/162.83 ! [V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 162.72/162.83 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.72/162.83 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 162.72/162.83 | ? [B_k_H] :
% 162.72/162.83 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 162.72/162.83 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_a) ) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_map__comp__simps_I1_J,axiom,
% 162.72/162.83 ! [V_m1_2,T_b,T_c,T_a,V_k_2,V_m2_2] :
% 162.72/162.83 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.72/162.83 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_map__comp__Some__iff,axiom,
% 162.72/162.83 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 162.72/162.83 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2)
% 162.72/162.83 <=> ? [B_k_H] :
% 162.72/162.83 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 162.72/162.83 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) ) ) ).
% 162.72/162.83
% 162.72/162.83 fof(fact_map__comp__simps_I2_J,axiom,
% 162.72/162.83 ! [V_m1_2,T_b,T_c,V_k_H_2,T_a,V_k_2,V_m2_2] :
% 162.72/162.83 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_k_H_2)
% 162.83/162.83 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_finite,axiom,
% 162.83/162.83 ! [V_A_2,T_a] :
% 162.83/162.83 ( class_Finite__Set_Ofinite(T_a)
% 162.83/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_finite__code,axiom,
% 162.83/162.83 ! [V_A_2,T_a] :
% 162.83/162.83 ( class_Finite__Set_Ofinite(T_a)
% 162.83/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup_Oidem,axiom,
% 162.83/162.83 ! [V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup__idem,axiom,
% 162.83/162.83 ! [V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup_Ocommute,axiom,
% 162.83/162.83 ! [V_b,V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I5_J,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup__commute,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup_Oleft__idem,axiom,
% 162.83/162.83 ! [V_b,V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I8_J,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup__left__idem,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup_Oleft__commute,axiom,
% 162.83/162.83 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I7_J,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup__left__commute,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup_Oassoc,axiom,
% 162.83/162.83 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I6_J,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_sup__assoc,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.83 => 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)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one_Oinsert,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple_Oinsert,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_finite__induct,axiom,
% 162.83/162.83 ! [V_P_2,V_F_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.83 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.83 => ( ! [B_x,B_F] :
% 162.83/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F))
% 162.83/162.83 => ( hBOOL(hAPP(V_P_2,B_F))
% 162.83/162.83 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) )
% 162.83/162.83 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 162.83/162.83 => 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) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_ran__map__upd,axiom,
% 162.83/162.83 ! [V_b_2,T_b,T_a,V_a_2,V_m_2] :
% 162.83/162.83 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.83 => c_Map_Oran(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one__idem_Oin__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oinsert,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one__idem_Oidem,axiom,
% 162.83/162.83 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.83 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 162.83/162.83 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_map__upd__eqD1,axiom,
% 162.83/162.83 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_b,T_a] :
% 162.83/162.83 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))
% 162.83/162.83 => V_x_2 = V_y_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_map__upd__triv,axiom,
% 162.83/162.83 ! [T_b,V_x_2,T_a,V_k_2,V_t_2] :
% 162.83/162.83 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.83/162.83 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = V_t_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_map__upd__Some__unfold,axiom,
% 162.83/162.83 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_a,T_b] :
% 162.83/162.83 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 162.83/162.83 <=> ( ( V_x_2 = V_a_2
% 162.83/162.83 & V_b_2 = V_y_2 )
% 162.83/162.83 | ( V_x_2 != V_a_2
% 162.83/162.83 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Osingleton,axiom,
% 162.83/162.83 ! [V_x_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple_Oempty,axiom,
% 162.83/162.83 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oin__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Ounion__idem,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oidem,axiom,
% 162.83/162.83 ! [V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one_Osingleton,axiom,
% 162.83/162.83 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.83 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_fun__upd__triv,axiom,
% 162.83/162.83 ! [V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oclosed,axiom,
% 162.83/162.83 ! [V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 162.83/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one_Oclosed,axiom,
% 162.83/162.83 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 162.83/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oremove,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 )
% 162.83/162.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_dom__fun__upd,axiom,
% 162.83/162.83 ! [V_x_2,V_f_2,T_b,T_a,V_y_2] :
% 162.83/162.83 ( ( V_y_2 = c_Option_Ooption_ONone(T_a)
% 162.83/162.83 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,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)))) )
% 162.83/162.83 & ( V_y_2 != c_Option_Ooption_ONone(T_a)
% 162.83/162.83 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__one_Oremove,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 162.83/162.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => 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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_folding__image__simple_Oremove,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 162.83/162.83 => 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_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.83 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Ounion__inter,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.83 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 162.83/162.83 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 162.83/162.83 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.83 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf1E,axiom,
% 162.83/162.83 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 162.83/162.83 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 162.83/162.83 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf1I,axiom,
% 162.83/162.83 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 162.83/162.83 ( hBOOL(hAPP(V_A_2,V_x_2))
% 162.83/162.83 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 162.83/162.83 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_IntE,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.83 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.83 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_IntI,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.83 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 162.83/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_DiffE,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.83 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_DiffI,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.83 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 162.83/162.83 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_finite__Int,axiom,
% 162.83/162.83 ! [V_G_2,V_F_2,T_a] :
% 162.83/162.83 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.83 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_G_2)) )
% 162.83/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_G_2))) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_finite__Diff,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.83 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Inf__fin_Oidem,axiom,
% 162.83/162.83 ! [V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf1D2,axiom,
% 162.83/162.83 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 162.83/162.83 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf1D1,axiom,
% 162.83/162.83 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.83/162.83 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 162.83/162.83 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Diff__Int2,axiom,
% 162.83/162.83 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Diff__Int__distrib2,axiom,
% 162.83/162.83 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__assoc,axiom,
% 162.83/162.83 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__Diff,axiom,
% 162.83/162.83 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Diff__idemp,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Diff__Int__distrib,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__left__commute,axiom,
% 162.83/162.83 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__left__absorb,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__commute,axiom,
% 162.83/162.83 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_Int__absorb,axiom,
% 162.83/162.83 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__apply,axiom,
% 162.83/162.83 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_minus__apply,axiom,
% 162.83/162.83 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 162.83/162.83 ( class_Groups_Ominus(T_a)
% 162.83/162.83 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__assoc,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I2_J,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf_Oassoc,axiom,
% 162.83/162.83 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__left__commute,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I3_J,axiom,
% 162.83/162.83 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf_Oleft__commute,axiom,
% 162.83/162.83 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__left__idem,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf__sup__aci_I4_J,axiom,
% 162.83/162.83 ! [V_y,V_x,T_a] :
% 162.83/162.83 ( class_Lattices_Olattice(T_a)
% 162.83/162.83 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 162.83/162.83
% 162.83/162.83 fof(fact_inf_Oleft__idem,axiom,
% 162.83/162.83 ! [V_b,V_a,T_a] :
% 162.83/162.83 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__commute,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__sup__aci_I1_J,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf_Ocommute,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__idem,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf_Oidem,axiom,
% 162.83/162.84 ! [V_a,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__disjoint,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__triv,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Diff__Int,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__Un,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__Int,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fold__inf__insert,axiom,
% 162.83/162.84 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__bot__right,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__bot(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__bot__left,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__bot(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__sup__absorb,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__inf__absorb,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__sup__distrib1,axiom,
% 162.83/162.84 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Odistrib__lattice(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__inf__distrib1,axiom,
% 162.83/162.84 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Odistrib__lattice(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__sup__distrib2,axiom,
% 162.83/162.84 ! [V_x,V_z,V_y,T_a] :
% 162.83/162.84 ( class_Lattices_Odistrib__lattice(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__inf__distrib2,axiom,
% 162.83/162.84 ! [V_x,V_z,V_y,T_a] :
% 162.83/162.84 ( class_Lattices_Odistrib__lattice(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_DiffD2,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_DiffD1,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__iff,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.84 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_IntD2,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_IntD1,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__iff,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.84 & hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fold__empty,axiom,
% 162.83/162.84 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__cancel,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__empty,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_empty__Diff,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__Diff2,axiom,
% 162.83/162.84 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_disjoint__iff__not__equal,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 <=> ! [B_x] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.84 => ! [B_xa] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 162.83/162.84 => B_x != B_xa ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__empty__right,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__empty__left,axiom,
% 162.83/162.84 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_insert__inter__insert,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Diff,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Diff__cancel2,axiom,
% 162.83/162.84 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Diff__cancel,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Int__crazy,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Int__distrib2,axiom,
% 162.83/162.84 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__Un__distrib2,axiom,
% 162.83/162.84 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__Int__distrib,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__Un__distrib,axiom,
% 162.83/162.84 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_vimage__Diff,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_vimage__Int,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_insert__Diff1,axiom,
% 162.83/162.84 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_insert__Diff__if,axiom,
% 162.83/162.84 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_insert__Diff__single,axiom,
% 162.83/162.84 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__insert2,axiom,
% 162.83/162.84 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__insert,axiom,
% 162.83/162.84 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__Diff__insert,axiom,
% 162.83/162.84 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))))
% 162.83/162.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__left__if1,axiom,
% 162.83/162.84 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__right__if1,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__left__if0,axiom,
% 162.83/162.84 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 162.83/162.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__right__if0,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__left,axiom,
% 162.83/162.84 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__insert__right,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_insert__Diff,axiom,
% 162.83/162.84 ! [V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__insert__absorb,axiom,
% 162.83/162.84 ! [V_A_2,V_x_2,T_a] :
% 162.83/162.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_union__fold__insert,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fold__sup__insert,axiom,
% 162.83/162.84 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__Sup__absorb,axiom,
% 162.83/162.84 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_dom__minus,axiom,
% 162.83/162.84 ! [V_A_2,T_b,T_a,V_x_2,V_f_2] :
% 162.83/162.84 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),V_A_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 162.83/162.84 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.84 => 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)) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__idem__iff,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2) = V_f_2
% 162.83/162.84 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__upd,axiom,
% 162.83/162.84 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_z_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__same,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__apply,axiom,
% 162.83/162.84 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 162.83/162.84 ( ( V_z_2 = V_x_2
% 162.83/162.84 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 )
% 162.83/162.84 & ( V_z_2 != V_x_2
% 162.83/162.84 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__twist,axiom,
% 162.83/162.84 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_ca_2,V_a_2] :
% 162.83/162.84 ( V_a_2 != V_ca_2
% 162.83/162.84 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_a_2),V_b_2)),V_ca_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_ca_2),V_d_2)),V_a_2),V_b_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__other,axiom,
% 162.83/162.84 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 162.83/162.84 ( V_z_2 != V_x_2
% 162.83/162.84 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__idem,axiom,
% 162.83/162.84 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 162.83/162.84 ( hAPP(V_f_2,V_x_2) = V_y_2
% 162.83/162.84 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2) = V_f_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 162.83/162.84 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__one_Oeq__fold_H,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__one_Oinsert__remove,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 162.83/162.84 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__one_Ounion__inter,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__one_Ounion__disjoint,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.84 => ( 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))
% 162.83/162.84 => 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)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 162.83/162.84 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 162.83/162.84 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__None__restrict,axiom,
% 162.83/162.84 ! [V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 162.83/162.84 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 162.83/162.84 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oremove,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 )
% 162.83/162.84 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 162.83/162.84 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 162.83/162.84 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__restrict__conv,axiom,
% 162.83/162.84 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 162.83/162.84 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__fun__upd,axiom,
% 162.83/162.84 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 162.83/162.84 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 162.83/162.84 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__empty__induct,axiom,
% 162.83/162.84 ! [V_P_2,V_A_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 162.83/162.84 => ( ! [B_a,B_A] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A))
% 162.83/162.84 => ( hBOOL(hAPP(V_P_2,B_A))
% 162.83/162.84 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) )
% 162.83/162.84 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Ounion__inter,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 162.83/162.84 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__in,axiom,
% 162.83/162.84 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__restrict,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Osingleton,axiom,
% 162.83/162.84 ! [V_x_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__out,axiom,
% 162.83/162.84 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__map__insert,axiom,
% 162.83/162.84 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_dom__restrict,axiom,
% 162.83/162.84 ! [V_A_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m_2)),V_A_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 162.83/162.84 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__Inf__absorb,axiom,
% 162.83/162.84 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oin__idem,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Ounion__idem,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 162.83/162.84 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__upd__restrict,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oinsert,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 162.83/162.84 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.84 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Inf__fin_Oclosed,axiom,
% 162.83/162.84 ! [V_A_2,T_a] :
% 162.83/162.84 ( class_Lattices_Olattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ran__restrictD,axiom,
% 162.83/162.84 ! [V_A_2,V_m_2,T_b,V_y_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Map_Oran(T_b,T_a,c_Map_Orestrict__map(T_b,T_a,V_m_2,V_A_2))))
% 162.83/162.84 => ? [B_x] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 162.83/162.84 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__fold__sup,axiom,
% 162.83/162.84 ! [V_A_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.84 => ( ! [B_x] :
% 162.83/162.84 ( 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)))
% 162.83/162.84 => hAPP(V_g_2,B_x) = V_z_2 )
% 162.83/162.84 => 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)) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 162.83/162.84 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 162.83/162.84 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_setsum__diff1,axiom,
% 162.83/162.84 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 162.83/162.84 ( class_Groups_Oab__group__add(T_b)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_setsum__diff1__ring,axiom,
% 162.83/162.84 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 162.83/162.84 ( class_Rings_Oring(T_b)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__upd__same,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_restrict__complement__singleton__eq,axiom,
% 162.83/162.84 ! [V_x_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_b)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ComplI,axiom,
% 162.83/162.84 ! [V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 162.83/162.84 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] :
% 162.83/162.84 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__eq__Compl__iff,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)
% 162.83/162.84 <=> V_A_2 = V_B_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_double__complement,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__eq__compl__iff,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)
% 162.83/162.84 <=> V_x_2 = V_y_2 ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_uminus__apply,axiom,
% 162.83/162.84 ! [V_x_2,V_A_2,T_b,T_a] :
% 162.83/162.84 ( class_Groups_Ouminus(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_double__compl,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ComplE,axiom,
% 162.83/162.84 ! [V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 162.83/162.84 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ComplD,axiom,
% 162.83/162.84 ! [V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 162.83/162.84 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__iff,axiom,
% 162.83/162.84 ! [V_A_2,V_ca_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 162.83/162.84 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__UnionD,axiom,
% 162.83/162.84 ! [V_A_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))
% 162.83/162.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_vimage__Compl,axiom,
% 162.83/162.84 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem__insert,axiom,
% 162.83/162.84 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__compl__bot,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__inf__bot,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_diff__eq,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__sup,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__inf,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem__sup,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.84 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_fun__left__comm__idem__inf,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.84 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__disjoint,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__disjoint2,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__Un,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__Int,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__Diff__eq,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__Compl,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__eq,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_setsum__diff1__nat,axiom,
% 162.83/162.84 ! [V_f_2,V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 162.83/162.84 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__Sup__fold__sup,axiom,
% 162.83/162.84 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__fin__Sup,axiom,
% 162.83/162.84 ! [V_A_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__binary,axiom,
% 162.83/162.84 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__insert,axiom,
% 162.83/162.84 ! [V_A_2,V_a_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__singleton,axiom,
% 162.83/162.84 ! [V_a_2,T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__empty,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_UnionI,axiom,
% 162.83/162.84 ! [V_A_2,V_C_2,V_X_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2))
% 162.83/162.84 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Union__disjoint,axiom,
% 162.83/162.84 ! [V_A_2,V_C_2,T_a] :
% 162.83/162.84 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.84 <=> ! [B_x] :
% 162.83/162.84 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2))
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_minus__diff__eq,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_setsum_Oremove,axiom,
% 162.83/162.84 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 162.83/162.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_setsum__diff1_H,axiom,
% 162.83/162.84 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 162.83/162.84 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.84 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__unique,axiom,
% 162.83/162.84 ! [V_y,V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 162.83/162.84 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_UNIV__I,axiom,
% 162.83/162.84 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Sup__UNIV,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.84 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Union__UNIV,axiom,
% 162.83/162.84 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__fun__UNIVD2,axiom,
% 162.83/162.84 ! [T_b,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 162.83/162.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__right__imp__eq,axiom,
% 162.83/162.84 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.84 ( class_Groups_Ocancel__semigroup__add(T_a)
% 162.83/162.84 => ( 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)
% 162.83/162.84 => V_b = V_c ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__imp__eq,axiom,
% 162.83/162.84 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 162.83/162.84 => ( 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)
% 162.83/162.84 => V_b = V_c ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__left__imp__eq,axiom,
% 162.83/162.84 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ocancel__semigroup__add(T_a)
% 162.83/162.84 => ( 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)
% 162.83/162.84 => V_b = V_c ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__right__cancel,axiom,
% 162.83/162.84 ! [V_ca_2,V_a_2,V_b_2,T_a] :
% 162.83/162.84 ( class_Groups_Ocancel__semigroup__add(T_a)
% 162.83/162.84 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)
% 162.83/162.84 <=> V_b_2 = V_ca_2 ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__left__cancel,axiom,
% 162.83/162.84 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.84 ( class_Groups_Ocancel__semigroup__add(T_a)
% 162.83/162.84 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)
% 162.83/162.84 <=> V_b_2 = V_ca_2 ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 162.83/162.84 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Oab__semigroup__add(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_top__apply,axiom,
% 162.83/162.84 ! [V_x_2,T_b,T_a] :
% 162.83/162.84 ( class_Orderings_Otop(T_a)
% 162.83/162.84 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__option__UNIV,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool))))
% 162.83/162.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__Plus__UNIV__iff,axiom,
% 162.83/162.84 ! [T_b,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))))
% 162.83/162.84 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.84 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__Prod__UNIV,axiom,
% 162.83/162.84 ! [T_b,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 162.83/162.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__diff__cancel,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_diff__add__cancel,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_minus__add__cancel,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_add__minus__cancel,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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 ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_minus__add,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_minus__add__distrib,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_UNIV__not__empty,axiom,
% 162.83/162.84 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__UNIV,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Finite__Set_Ofinite(T_a)
% 162.83/162.84 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__UNIV__left,axiom,
% 162.83/162.84 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Un__UNIV__right,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__UNIV__left,axiom,
% 162.83/162.84 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Int__UNIV__right,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 162.83/162.84
% 162.83/162.84 fof(fact_vimage__UNIV,axiom,
% 162.83/162.84 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,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_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_diff__minus__eq__add,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_ab__diff__minus,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_diff__def,axiom,
% 162.83/162.84 ! [V_b,V_a,T_a] :
% 162.83/162.84 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.84 => 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)) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__top__right,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_sup__top__left,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__top__left,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__top__right,axiom,
% 162.83/162.84 ! [V_x,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 162.83/162.84 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_inf__eq__top__iff,axiom,
% 162.83/162.84 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.84 ( class_Lattices_Obounded__lattice__top(T_a)
% 162.83/162.84 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a)
% 162.83/162.84 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a)
% 162.83/162.84 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Diff__UNIV,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__empty__eq,axiom,
% 162.83/162.84 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__UNIV__eq,axiom,
% 162.83/162.84 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_finite__compl,axiom,
% 162.83/162.84 ! [V_A_2,T_a] :
% 162.83/162.84 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.84 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 162.83/162.84 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__partition,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__partition2,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 162.83/162.84 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ).
% 162.83/162.84
% 162.83/162.84 fof(fact_compl__top__eq,axiom,
% 162.83/162.84 ! [T_a] :
% 162.83/162.84 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_compl__bot__eq,axiom,
% 162.83/162.85 ! [T_a] :
% 162.83/162.85 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_sup__compl__top,axiom,
% 162.83/162.85 ! [V_x,T_a] :
% 162.83/162.85 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_compl__sup__top,axiom,
% 162.83/162.85 ! [V_x,T_a] :
% 162.83/162.85 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum__Un__nat,axiom,
% 162.83/162.85 ! [V_f_2,V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Union__empty,axiom,
% 162.83/162.85 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__eq__diff__eq,axiom,
% 162.83/162.85 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.85 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 162.83/162.85 => ( V_a_2 = V_b_2
% 162.83/162.85 <=> V_ca_2 = V_d_2 ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_neg__equal__iff__equal,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.85 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 162.83/162.85 <=> V_a_2 = V_b_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__equation__iff,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.85 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2
% 162.83/162.85 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_equation__minus__iff,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.85 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 162.83/162.85 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__minus,axiom,
% 162.83/162.85 ! [V_a,T_a] :
% 162.83/162.85 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.85 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Union__insert,axiom,
% 162.83/162.85 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Union__Un__distrib,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Un__eq__Union,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum__insert,axiom,
% 162.83/162.85 ! [V_f_2,V_a_2,V_F_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_F_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_F_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum_Oinsert,axiom,
% 162.83/162.85 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum__Un__Int,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum_Oinsert__remove,axiom,
% 162.83/162.85 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum__Un__disjoint,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setsum__Un,axiom,
% 162.83/162.85 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Oab__group__add(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__ring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__Union,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2))
% 162.83/162.85 => ( ! [B_M] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) )
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__fold__inf,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_insert__partition,axiom,
% 162.83/162.85 ! [V_F_2,V_x_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))
% 162.83/162.85 => ( ! [B_x] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 162.83/162.85 => ! [B_xa] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 162.83/162.85 => ( B_x != B_xa
% 162.83/162.85 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 162.83/162.85 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_UnionE,axiom,
% 162.83/162.85 ! [V_C_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 162.83/162.85 => ~ ! [B_X] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__upd__left,axiom,
% 162.83/162.85 ! [V_u1_2,V_e1_2,V_e2_2,T_b,V_m_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_e2_2)))
% 162.83/162.85 => c_Map_Omap__add(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 162.83/162.85 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 162.83/162.85 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Diff1__fold__graph,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__upd__image,axiom,
% 162.83/162.85 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) )
% 162.83/162.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 162.83/162.85 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 162.83/162.85 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.85 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__Inter,axiom,
% 162.83/162.85 ! [V_M_2,T_a] :
% 162.83/162.85 ( ? [B_x] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2))
% 162.83/162.85 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_top1I,axiom,
% 162.83/162.85 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__eqI,axiom,
% 162.83/162.85 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] :
% 162.83/162.85 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_InterE,axiom,
% 162.83/162.85 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_InterD,axiom,
% 162.83/162.85 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__imageI,axiom,
% 162.83/162.85 ! [V_h_2,T_b,V_F_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_F_2))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inter__empty,axiom,
% 162.83/162.85 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__assoc,axiom,
% 162.83/162.85 ! [V_m3_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__add(T_a,T_b,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_m3_2) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_rev__image__eqI,axiom,
% 162.83/162.85 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_imageI,axiom,
% 162.83/162.85 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__iff,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 162.83/162.85 <=> ? [B_x] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 162.83/162.85 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_range__eqI,axiom,
% 162.83/162.85 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] :
% 162.83/162.85 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_rangeI,axiom,
% 162.83/162.85 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__is__empty,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_a,T_b] :
% 162.83/162.85 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__empty,axiom,
% 162.83/162.85 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_empty__is__image,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)
% 162.83/162.85 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__insert,axiom,
% 162.83/162.85 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__Un,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 162.83/162.85 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 162.83/162.85 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_surj__image__vimage__eq,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_a,T_b] :
% 162.83/162.85 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inter__UNIV,axiom,
% 162.83/162.85 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Int__eq__Inter,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inter__insert,axiom,
% 162.83/162.85 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inter__Un__distrib,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_empty__fold__graphE,axiom,
% 162.83/162.85 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2))
% 162.83/162.85 => V_x_2 = V_z_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_OemptyI,axiom,
% 162.83/162.85 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 162.83/162.85 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph__imp__finite,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__None,axiom,
% 162.83/162.85 ! [V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 162.83/162.85 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.85 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.85 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_a) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__find__right,axiom,
% 162.83/162.85 ! [V_m_2,T_b,V_xx_2,T_a,V_k_2,V_n_2] :
% 162.83/162.85 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2)
% 162.83/162.85 => hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__UNIV,axiom,
% 162.83/162.85 ! [T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 162.83/162.85 => V_y_2 = V_x_2 ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_insert__image,axiom,
% 162.83/162.85 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__vimageD,axiom,
% 162.83/162.85 ! [V_F_2,V_h_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2)))
% 162.83/162.85 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__vimage__eq,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_UNIV__option__conv,axiom,
% 162.83/162.85 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__range__updI,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_OinsertI,axiom,
% 162.83/162.85 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__dom__app__simps_I1_J,axiom,
% 162.83/162.85 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 162.83/162.85 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__dom__app__simps_I3_J,axiom,
% 162.83/162.85 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 162.83/162.85 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__dom__app__simps_I2_J,axiom,
% 162.83/162.85 ! [V_l2_2,V_l1_2,T_b,V_m_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l1_2)))
% 162.83/162.85 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__SomeD,axiom,
% 162.83/162.85 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 162.83/162.85 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.83/162.85 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.83/162.85 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.85 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__Some__iff,axiom,
% 162.83/162.85 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 162.83/162.85 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.83/162.85 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 162.83/162.85 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 162.83/162.85 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_dom__map__add,axiom,
% 162.83/162.85 ! [V_n_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_n_2)),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__upd,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 162.83/162.85 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 162.83/162.85 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__singleton,axiom,
% 162.83/162.85 ! [V_a_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__empty,axiom,
% 162.83/162.85 ! [T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__map__upd,axiom,
% 162.83/162.85 ! [V_y_2,V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 162.83/162.85 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),V_m_2),V_A_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__insert,axiom,
% 162.83/162.85 ! [V_A_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 162.83/162.85 ! [V_c,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 162.83/162.85 ! [V_d,V_c,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 162.83/162.85 ! [V_d,V_c,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 162.83/162.85 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_map__add__comm,axiom,
% 162.83/162.85 ! [V_m2_2,V_m1_2,T_b,T_a] :
% 162.83/162.85 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m1_2)),c_Map_Odom(T_a,T_b,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2) = c_Map_Omap__add(T_a,T_b,V_m2_2,V_m1_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 162.83/162.85 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__binary,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inf__Inf__fold__inf,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__fin__Inf,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1Set_Ointros,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 162.83/162.85 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => ? [B_y_H] :
% 162.83/162.85 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 162.83/162.85 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__add__inverse2,axiom,
% 162.83/162.85 ! [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 ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__add__inverse,axiom,
% 162.83/162.85 ! [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 ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__diff__left,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__cancel,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__cancel2,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_iso__tuple__UNIV__I,axiom,
% 162.83/162.85 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 162.83/162.85 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 162.83/162.85 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 162.83/162.85 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 162.83/162.85 | ? [B_x,B_y] :
% 162.83/162.85 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 162.83/162.85 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2))
% 162.83/162.85 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__fin_Ohom__commute,axiom,
% 162.83/162.85 ! [V_N_2,V_h_2,T_a] :
% 162.83/162.85 ( class_Lattices_Olattice(T_a)
% 162.83/162.85 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 162.83/162.85 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_empty__fold1SetE,axiom,
% 162.83/162.85 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1Set__nonempty,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2))
% 162.83/162.85 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__add__commute,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__add__left__commute,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__add__assoc,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__add__left__cancel,axiom,
% 162.83/162.85 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.85 ( 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_n_2)
% 162.83/162.85 <=> V_m_2 = V_n_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__add__right__cancel,axiom,
% 162.83/162.85 ! [V_n_2,V_k_2,V_m_2] :
% 162.83/162.85 ( 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_n_2),V_k_2)
% 162.83/162.85 <=> V_m_2 = V_n_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__commute,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1Set__sing,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2))
% 162.83/162.85 <=> V_a_2 = V_b_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Sup__fin_Ohom__commute,axiom,
% 162.83/162.85 ! [V_N_2,V_h_2,T_a] :
% 162.83/162.85 ( class_Lattices_Olattice(T_a)
% 162.83/162.85 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 162.83/162.85 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1Set_Oequations,axiom,
% 162.83/162.85 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2))
% 162.83/162.85 <=> ? [B_a,B_A] :
% 162.83/162.85 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 162.83/162.85 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2))
% 162.83/162.85 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_insert__fold1SetE,axiom,
% 162.83/162.85 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2))
% 162.83/162.85 => ~ ! [B_a,B_A] :
% 162.83/162.85 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 162.83/162.85 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.85 => ( ! [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))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 162.83/162.85 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 162.83/162.85 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ~ ! [B_y] :
% 162.83/162.85 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 162.83/162.85 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__range__map__of__map__add,axiom,
% 162.83/162.85 ! [V_l_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),c_Map_Omap__add(T_b,T_a,V_f_2,hAPP(c_Map_Omap__of(T_b,T_a),V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__map__freshness,axiom,
% 162.83/162.85 ! [V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,V_f_2)))
% 162.83/162.85 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.85 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_b) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph__permute__diff,axiom,
% 162.83/162.85 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_InterI,axiom,
% 162.83/162.85 ! [V_A_2,V_C_2,T_a] :
% 162.83/162.85 ( ! [B_X] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) )
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_mult__left__idem,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_mult__idem,axiom,
% 162.83/162.85 ! [V_x,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_times_Oidem,axiom,
% 162.83/162.85 ! [V_a,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 162.83/162.85 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 162.83/162.85 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 162.83/162.85 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 162.83/162.85 ! [V_rx,V_ly,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 162.83/162.85 ! [V_rx,V_ly,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 162.83/162.85 ! [V_ry,V_rx,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 162.83/162.85 ! [V_ry,V_rx,V_lx,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 162.83/162.85 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_crossproduct__noteq,axiom,
% 162.83/162.85 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 162.83/162.85 => ( ( V_a_2 != V_b_2
% 162.83/162.85 & V_ca_2 != V_d_2 )
% 162.83/162.85 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 162.83/162.85 ! [V_b,V_m,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_crossproduct__eq,axiom,
% 162.83/162.85 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] :
% 162.83/162.85 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 162.83/162.85 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 162.83/162.85 <=> ( V_w_2 = V_x_2
% 162.83/162.85 | V_y_2 = V_z_2 ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_add__mult__distrib,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_add__mult__distrib2,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__mult__distrib2,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_diff__mult__distrib,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm,axiom,
% 162.83/162.85 ! [T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fun__left__comm__idem,axiom,
% 162.83/162.85 ! [T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__dom__map__of,axiom,
% 162.83/162.85 ! [V_l_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_l_2)))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold__graph__insert__swap,axiom,
% 162.83/162.85 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__range__map__of,axiom,
% 162.83/162.85 ! [V_xys_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_eq__add__iff2,axiom,
% 162.83/162.85 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 162.83/162.85 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_eq__add__iff1,axiom,
% 162.83/162.85 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 162.83/162.85 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__mult__right,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__mult__left,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__mult__commute,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_minus__mult__minus,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Oring(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_square__eq__iff,axiom,
% 162.83/162.85 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.85 ( class_Rings_Oidom(T_a)
% 162.83/162.85 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 162.83/162.85 <=> ( V_a_2 = V_b_2
% 162.83/162.85 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_comm__semiring__class_Odistrib,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Ocomm__semiring(T_a)
% 162.83/162.85 => 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)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_combine__common__factor,axiom,
% 162.83/162.85 ! [V_c,V_b,V_e,V_a,T_a] :
% 162.83/162.85 ( class_Rings_Osemiring(T_a)
% 162.83/162.85 => 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) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__mult__assoc,axiom,
% 162.83/162.85 ! [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)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__mult__commute,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_left__add__mult__distrib,axiom,
% 162.83/162.85 ! [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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_body__def,axiom,
% 162.83/162.85 c_Com_Obody = hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__eq__fold,axiom,
% 162.83/162.85 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__Un,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__insert,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod_Oremove,axiom,
% 162.83/162.85 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Un__disjoint,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__eq__fold__idem,axiom,
% 162.83/162.85 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__Un,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.85 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 162.83/162.85 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__empty,axiom,
% 162.83/162.85 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__uminus,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__image,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__def,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 <=> ! [B_x] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.85 => ! [B_xa] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 162.83/162.85 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 162.83/162.85 => B_x = B_xa ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_eq__card__imp__inj__on,axiom,
% 162.83/162.85 ! [V_f_2,T_b,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2)
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__iff__eq__card,axiom,
% 162.83/162.85 ! [V_f_2,T_b,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__onD,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 162.83/162.85 => V_x_2 = V_y_2 ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__iff,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 162.83/162.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 162.83/162.85 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__contraD,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => ( V_x_2 != V_y_2
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 162.83/162.85 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__eq,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 162.83/162.85 <=> V_x_2 = V_y_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_injD,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 162.83/162.85 => V_x_2 = V_y_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__Int,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__diff,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__Some,axiom,
% 162.83/162.85 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a),V_A_2) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__imageD,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 162.83/162.85 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2)
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__image__eq__iff,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 162.83/162.85 <=> V_A_2 = V_B_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.85 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 162.83/162.85 <=> V_A_2 = V_B_2 ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.85 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__map__add__dom,axiom,
% 162.83/162.85 ! [V_m_H_2,V_m_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),c_Map_Omap__add(T_a,T_b,V_m_2,V_m_H_2),c_Map_Odom(T_a,T_b,V_m_H_2))
% 162.83/162.85 <=> c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),V_m_H_2,c_Map_Odom(T_a,T_b,V_m_H_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__singleton__def,axiom,
% 162.83/162.85 ! [V_a_2,V_f_2,T_a,V_g_2] :
% 162.83/162.85 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2)
% 162.83/162.85 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__singleton,axiom,
% 162.83/162.85 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__image__mem__iff,axiom,
% 162.83/162.85 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 162.83/162.85 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_range__ex1__eq,axiom,
% 162.83/162.85 ! [V_b_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))))
% 162.83/162.85 <=> ? [B_x] :
% 162.83/162.85 ( V_b_2 = hAPP(V_f_2,B_x)
% 162.83/162.85 & ! [B_y] :
% 162.83/162.85 ( V_b_2 = hAPP(V_f_2,B_y)
% 162.83/162.85 => B_y = B_x ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__UNIV__surj__inj,axiom,
% 162.83/162.85 ! [V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.85 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__UNIV__inj__surj,axiom,
% 162.83/162.85 ! [V_f_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.85 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__Int,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_image__set__diff,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_folding__one_Oeq__fold,axiom,
% 162.83/162.85 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.85 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__fun__updI,axiom,
% 162.83/162.85 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 162.83/162.85 => c_Fun_Oinj__on(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_finite__vimageI,axiom,
% 162.83/162.85 ! [V_h_2,T_b,V_F_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.85 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 162.83/162.85 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_F_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__vimage__image__eq,axiom,
% 162.83/162.85 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.85 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod__insert,axiom,
% 162.83/162.85 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod_Oinsert,axiom,
% 162.83/162.85 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod__Un__Int,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod_Ounion__inter,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Sup__fin_OF__eq,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Lattices_Olattice(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_Inf__fin_OF__eq,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Lattices_Olattice(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card_Ounion__inter,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Un__Int,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Diff__subset__Int,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod_Oinsert__remove,axiom,
% 162.83/162.85 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod__Un__disjoint,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_setprod_Ounion__disjoint,axiom,
% 162.83/162.85 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.85 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_inj__on__insert,axiom,
% 162.83/162.85 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 162.83/162.85 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))
% 162.83/162.85 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.85 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__insert__idem,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__Un2,axiom,
% 162.83/162.85 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.85 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_semilattice__big_OF__eq,axiom,
% 162.83/162.85 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.85 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_F_2)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_fold1__in,axiom,
% 162.83/162.85 ! [V_A_2,T_a] :
% 162.83/162.85 ( class_Groups_Oab__semigroup__mult(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Diff__singleton__if,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 162.83/162.85 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Diff__singleton,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card_Oremove,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_hom__fold1__commute,axiom,
% 162.83/162.85 ! [V_N_2,V_h_2,T_a] :
% 162.83/162.85 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 162.83/162.85 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 162.83/162.85 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 162.83/162.85 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.85 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card_Oinsert__remove,axiom,
% 162.83/162.85 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Diff__insert,axiom,
% 162.83/162.85 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 162.83/162.85 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__Diff2__less,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,V_A_2,T_a] :
% 162.83/162.85 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_card__UNIV__unit,axiom,
% 162.83/162.85 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) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__irrefl,axiom,
% 162.83/162.85 ! [V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__neq__iff,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( V_x_2 != V_y_2
% 162.83/162.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_not__less__iff__gr__or__eq,axiom,
% 162.83/162.85 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 162.83/162.85 | V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__less__linear,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 | V_x = V_y
% 162.83/162.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__antisym__conv3,axiom,
% 162.83/162.85 ! [V_x_2,V_y_2,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.85 <=> V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__neqE,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( V_x != V_y
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_less__imp__neq,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => V_x != V_y ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__not__sym,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__imp__not__less,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__imp__not__eq,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => V_x != V_y ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__imp__not__eq2,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => V_y != V_x ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__asym_H,axiom,
% 162.83/162.85 ! [V_b,V_a,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_xt1_I9_J,axiom,
% 162.83/162.85 ! [V_a,V_b,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_ord__eq__less__trans,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Orderings_Oord(T_a)
% 162.83/162.85 => ( V_a = V_b
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_xt1_I1_J,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( V_a = V_b
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_ord__less__eq__trans,axiom,
% 162.83/162.85 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.85 ( class_Orderings_Oord(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.85 => ( V_b = V_c
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_xt1_I2_J,axiom,
% 162.83/162.85 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.85 => ( V_b = V_c
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__trans,axiom,
% 162.83/162.85 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_xt1_I10_J,axiom,
% 162.83/162.85 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.85 ( class_Orderings_Oorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_order__less__asym,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Opreorder(T_a)
% 162.83/162.85 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__cases,axiom,
% 162.83/162.85 ! [V_y,V_x,T_a] :
% 162.83/162.85 ( class_Orderings_Olinorder(T_a)
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.85 => ( V_x != V_y
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_one__reorient,axiom,
% 162.83/162.85 ! [V_x_2,T_a] :
% 162.83/162.85 ( class_Groups_Oone(T_a)
% 162.83/162.85 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 162.83/162.85 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_less__not__refl,axiom,
% 162.83/162.85 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__neq__iff,axiom,
% 162.83/162.85 ! [V_n_2,V_m_2] :
% 162.83/162.85 ( V_m_2 != V_n_2
% 162.83/162.85 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 162.83/162.85 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_linorder__neqE__nat,axiom,
% 162.83/162.85 ! [V_y,V_x] :
% 162.83/162.85 ( V_x != V_y
% 162.83/162.85 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 162.83/162.85 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_less__irrefl__nat,axiom,
% 162.83/162.85 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_less__not__refl2,axiom,
% 162.83/162.85 ! [V_m,V_n] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 162.83/162.85 => V_m != V_n ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_less__not__refl3,axiom,
% 162.83/162.85 ! [V_t,V_s] :
% 162.83/162.85 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 162.83/162.85 => V_s != V_t ) ).
% 162.83/162.85
% 162.83/162.85 fof(fact_nat__less__cases,axiom,
% 162.83/162.85 ! [V_P_2,V_n_2,V_m_2] :
% 162.83/162.85 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 162.83/162.85 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 162.83/162.85 => ( ( V_m_2 = V_n_2
% 162.83/162.86 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 162.83/162.86 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 162.83/162.86 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_linorder__neqE__linordered__idom,axiom,
% 162.83/162.86 ! [V_y,V_x,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( V_x != V_y
% 162.83/162.86 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__one,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => 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)))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__1__mult,axiom,
% 162.83/162.86 ! [V_n,V_m,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__1__left,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Omonoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__1,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__1__right,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Omonoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult_Ocomm__neutral,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__imp__less__left,axiom,
% 162.83/162.86 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.86 => ( 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)))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__imp__less__right,axiom,
% 162.83/162.86 ! [V_b,V_c,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.86 => ( 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)))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__strict__mono,axiom,
% 162.83/162.86 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__strict__left__mono,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__strict__right__mono,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__cancel__left,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__cancel__right,axiom,
% 162.83/162.86 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__eq__diff__less,axiom,
% 162.83/162.86 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__supI2,axiom,
% 162.83/162.86 ! [V_a,V_b,V_x,T_a] :
% 162.83/162.86 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__supI1,axiom,
% 162.83/162.86 ! [V_b,V_a,V_x,T_a] :
% 162.83/162.86 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__infI1,axiom,
% 162.83/162.86 ! [V_b,V_x,V_a,T_a] :
% 162.83/162.86 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 162.83/162.86 => 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)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__infI2,axiom,
% 162.83/162.86 ! [V_a,V_x,V_b,T_a] :
% 162.83/162.86 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 162.83/162.86 => 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)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__less__iff__less,axiom,
% 162.83/162.86 ! [V_a_2,V_b_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_minus__less__iff,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__minus__iff,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__eq__1__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_F_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 <=> ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 162.83/162.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__add__less1,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__add__less2,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__add__left__cancel__less,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_trans__less__add1,axiom,
% 162.83/162.86 ! [V_m,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_trans__less__add2,axiom,
% 162.83/162.86 ! [V_m,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__mono1,axiom,
% 162.83/162.86 ! [V_k,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__less__mono,axiom,
% 162.83/162.86 ! [V_l,V_k,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__eq__less,axiom,
% 162.83/162.86 ! [V_n,V_m,V_l,V_k] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 162.83/162.86 => ( 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)
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__lessD1,axiom,
% 162.83/162.86 ! [V_k,V_j,V_i] :
% 162.83/162.86 ( 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))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__less__mono2,axiom,
% 162.83/162.86 ! [V_l,V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__imp__diff__less,axiom,
% 162.83/162.86 ! [V_n,V_k,V_j] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 162.83/162.86 => 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)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__eq__1__iff,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__1__right,axiom,
% 162.83/162.86 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__1__eq__mult__iff,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 162.83/162.86 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__1,axiom,
% 162.83/162.86 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__Sup__iff,axiom,
% 162.83/162.86 ! [V_S_2,V_a_2,T_a] :
% 162.83/162.86 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.86 & class_Orderings_Olinorder(T_a) )
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2)))
% 162.83/162.86 <=> ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Inf__less__iff,axiom,
% 162.83/162.86 ! [V_a_2,V_S_2,T_a] :
% 162.83/162.86 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.86 & class_Orderings_Olinorder(T_a) )
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2))
% 162.83/162.86 <=> ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 162.83/162.86 ! [V_m,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 162.83/162.86 ! [V_a,V_m,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 162.83/162.86 ! [V_m,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_square__eq__1__iff,axiom,
% 162.83/162.86 ! [V_x_2,T_a] :
% 162.83/162.86 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.86 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.86 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 162.83/162.86 ! [V_x,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__ring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod_Oempty,axiom,
% 162.83/162.86 ! [V_g_2,T_b,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__empty,axiom,
% 162.83/162.86 ! [V_f_2,T_b,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__infinite,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod_Oinfinite,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__diff__inverse,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => 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 ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__diff__conv,axiom,
% 162.83/162.86 ! [V_k_2,V_j_2,V_i_2] :
% 162.83/162.86 ( 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)))
% 162.83/162.86 <=> 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)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__iff1,axiom,
% 162.83/162.86 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.86 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 162.83/162.86 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__iff2,axiom,
% 162.83/162.86 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.86 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_pigeonhole,axiom,
% 162.83/162.86 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 162.83/162.86 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card_Oinsert,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),V_A_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__Diff1__less,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 162.83/162.86 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.86 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__Un__one,axiom,
% 162.83/162.86 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 162.83/162.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_termination__basic__simps_I1_J,axiom,
% 162.83/162.86 ! [V_z,V_y,V_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_termination__basic__simps_I2_J,axiom,
% 162.83/162.86 ! [V_y,V_z,V_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_fold__Un__disjoint,axiom,
% 162.83/162.86 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.86 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__strict__mono,axiom,
% 162.83/162.86 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) )
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__Suc__Diff1,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_inj__on__Inter,axiom,
% 162.83/162.86 ! [V_f_2,T_b,T_a,V_S_2] :
% 162.83/162.86 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 162.83/162.86 => ( ! [B_A] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2))
% 162.83/162.86 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) )
% 162.83/162.86 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_fold__image__Un__Int,axiom,
% 162.83/162.86 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__mono,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_lessI,axiom,
% 162.83/162.86 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_inj__Suc,axiom,
% 162.83/162.86 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__inject,axiom,
% 162.83/162.86 ! [V_y,V_x] :
% 162.83/162.86 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 162.83/162.86 => V_x = V_y ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat_Oinject,axiom,
% 162.83/162.86 ! [V_nat_H_2,V_nat_2] :
% 162.83/162.86 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 162.83/162.86 <=> V_nat_2 = V_nat_H_2 ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__n__not__n,axiom,
% 162.83/162.86 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 162.83/162.86
% 162.83/162.86 fof(fact_n__not__Suc__n,axiom,
% 162.83/162.86 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_psubsetD,axiom,
% 162.83/162.86 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__psubset__empty,axiom,
% 162.83/162.86 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__less__SucD,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__lessD,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__SucE,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 162.83/162.86 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => V_m = V_n ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__trans__Suc,axiom,
% 162.83/162.86 ! [V_k,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__lessI,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__SucI,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__antisym,axiom,
% 162.83/162.86 ! [V_m,V_n] :
% 162.83/162.86 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 162.83/162.86 => V_m = V_n ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__less__less__Suc__eq,axiom,
% 162.83/162.86 ! [V_m_2,V_n_2] :
% 162.83/162.86 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 162.83/162.86 <=> V_n_2 = V_m_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__less__eq,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__Suc__eq,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 162.83/162.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 162.83/162.86 | V_m_2 = V_n_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__less__eq,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__Suc__shift,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__Suc,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__Suc__right,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__Suc__Suc,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__diff__diff,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__mult__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)
% 162.83/162.86 <=> V_m_2 = V_n_2 ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_fold__image__empty,axiom,
% 162.83/162.86 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__iff__Suc__add,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 162.83/162.86 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__Suc2,axiom,
% 162.83/162.86 ! [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)))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__add__Suc1,axiom,
% 162.83/162.86 ! [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)))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__less__Suc,axiom,
% 162.83/162.86 ! [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))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__mult__less__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__Suc,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__Suc__right,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_inj__on__strict__subset,axiom,
% 162.83/162.86 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 162.83/162.86 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__Suc__1,axiom,
% 162.83/162.86 ! [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 ).
% 162.83/162.86
% 162.83/162.86 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 162.83/162.86 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.86 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.86 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_psubset__card__mono,axiom,
% 162.83/162.86 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__monoid__big_OF__eq,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.86 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 162.83/162.86 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.86 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) )
% 162.83/162.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.86 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__insert__disjoint,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__insert__if,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) )
% 162.83/162.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_fold__image__insert,axiom,
% 162.83/162.86 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Oab__semigroup__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.86 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod_OF__eq,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) )
% 162.83/162.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod_Oeq__fold,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__insert,axiom,
% 162.83/162.86 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__eq__plus1__left,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__eq__plus1,axiom,
% 162.83/162.86 ! [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)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Body__triple__valid__Suc,axiom,
% 162.83/162.86 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_a] :
% 162.83/162.86 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2))
% 162.83/162.86 <=> c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_fold__image__Un__one,axiom,
% 162.83/162.86 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 162.83/162.86 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 162.83/162.86 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_OBody,axiom,
% 162.83/162.86 ! [V_s1,V_n,V_s0,V_pn] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_n),V_s1))
% 162.83/162.86 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),hAPP(c_Nat_OSuc,V_n)),V_s1)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_finite__fun__UNIVD1,axiom,
% 162.83/162.86 ! [T_b,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 162.83/162.86 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__zeroE,axiom,
% 162.83/162.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_OSemi,axiom,
% 162.83/162.86 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_OSkip,axiom,
% 162.83/162.86 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln__elim__cases_I1_J,axiom,
% 162.83/162.86 ! [V_t,V_n,V_s] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t))
% 162.83/162.86 => V_t = V_s ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__Suc,axiom,
% 162.83/162.86 ! [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))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_psubset__trans,axiom,
% 162.83/162.86 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__reorient,axiom,
% 162.83/162.86 ! [V_x_2,T_a] :
% 162.83/162.86 ( class_Groups_Ozero(T_a)
% 162.83/162.86 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 162.83/162.86 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_bot__nat__def,axiom,
% 162.83/162.86 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_triple__valid__def2,axiom,
% 162.83/162.86 ! [V_Q_2,V_ca_2,V_P_2,V_n_2,T_a] :
% 162.83/162.86 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2))
% 162.83/162.86 <=> ! [B_Z,B_s] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 162.83/162.86 => ! [B_s_H] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),B_s),V_n_2),B_s_H))
% 162.83/162.86 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln__Suc,axiom,
% 162.83/162.86 ! [V_s_H,V_n,V_s,V_c] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H))
% 162.83/162.86 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add_Ocomm__neutral,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__0__right,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Omonoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_double__zero__sym,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__0,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__0__left,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Omonoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__0__iff,axiom,
% 162.83/162.86 ! [V_a_2,V_b_2,T_a] :
% 162.83/162.86 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 162.83/162.86 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_divisors__zero,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ono__zero__divisors(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_no__zero__divisors,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ono__zero__divisors(T_a)
% 162.83/162.86 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__eq__0__iff,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Oring__no__zero__divisors(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__zero__right,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Omult__zero(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__zero__left,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Omult__zero(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_right__minus__eq,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> V_a_2 = V_b_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_eq__iff__diff__eq__0,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.86 => ( V_a_2 = V_b_2
% 162.83/162.86 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__self,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__0__right,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_one__neq__zero,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Rings_Ozero__neq__one(T_a)
% 162.83/162.86 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__neq__one,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Rings_Ozero__neq__one(T_a)
% 162.83/162.86 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__equal__zero,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__equal__0__iff__equal,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_equal__neg__zero,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__0__equal__iff__equal,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 162.83/162.86 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_minus__zero,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln__evalc,axiom,
% 162.83/162.86 ! [V_t,V_n,V_s,V_c] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_eval__eq,axiom,
% 162.83/162.86 ! [V_t_2,V_s_2,V_ca_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2))
% 162.83/162.86 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Zero__not__Suc,axiom,
% 162.83/162.86 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat_Osimps_I2_J,axiom,
% 162.83/162.86 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__not__Zero,axiom,
% 162.83/162.86 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat_Osimps_I3_J,axiom,
% 162.83/162.86 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Zero__neq__Suc,axiom,
% 162.83/162.86 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__neq__Zero,axiom,
% 162.83/162.86 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__less0,axiom,
% 162.83/162.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neq0__conv,axiom,
% 162.83/162.86 ! [V_n_2] :
% 162.83/162.86 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__nat__zero__code,axiom,
% 162.83/162.86 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_gr__implies__not0,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 162.83/162.86 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_gr0I,axiom,
% 162.83/162.86 ! [V_n] :
% 162.83/162.86 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_plus__nat_Oadd__0,axiom,
% 162.83/162.86 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Nat_Oadd__0__right,axiom,
% 162.83/162.86 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__is__0,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__eq__self__zero,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 162.83/162.86 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diffs0__imp__equal,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => V_m = V_n ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__self__eq__0,axiom,
% 162.83/162.86 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_minus__nat_Odiff__0,axiom,
% 162.83/162.86 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__0__eq__0,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__cancel2,axiom,
% 162.83/162.86 ! [V_n_2,V_k_2,V_m_2] :
% 162.83/162.86 ( 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_n_2),V_k_2)
% 162.83/162.86 <=> ( V_m_2 = V_n_2
% 162.83/162.86 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)
% 162.83/162.86 <=> ( V_m_2 = V_n_2
% 162.83/162.86 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__is__0,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__0__right,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__0,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)
% 162.83/162.86 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 | V_m_2 = V_n_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_Oequations_I4_J,axiom,
% 162.83/162.86 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2))
% 162.83/162.86 <=> ? [B_s1] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1))
% 162.83/162.86 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_Oequations_I1_J,axiom,
% 162.83/162.86 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sum__squares__eq__zero__iff,axiom,
% 162.83/162.86 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Body__triple__valid__0,axiom,
% 162.83/162.86 ! [V_Q_2,V_pn_2,V_P_2,T_a] : c_Hoare__Mirabelle_Otriple__valid(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_triple__valid__Suc,axiom,
% 162.83/162.86 ! [V_t,V_n,T_a] :
% 162.83/162.86 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 162.83/162.86 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sum__squares__gt__zero__iff,axiom,
% 162.83/162.86 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))))
% 162.83/162.86 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__sum__squares__lt__zero,axiom,
% 162.83/162.86 ! [V_y,V_x,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring(T_a)
% 162.83/162.86 => ~ 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__neg__neg,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__pos__pos,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( 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_2),V_a_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_pos__add__strict,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__strict__left__mono__neg,axiom,
% 162.83/162.86 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__strict__right__mono__neg,axiom,
% 162.83/162.86 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_comm__mult__strict__left__mono,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__strict__left__mono,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__strict__right__mono,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__neg__neg,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__neg__pos,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel__left__neg,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__mult__pos2,axiom,
% 162.83/162.86 ! [V_a,V_b,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( 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)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__mult__pos,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( 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)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__pos__neg2,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__pos__neg,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__pos__pos,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel__left__pos,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel__left__disj,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 162.83/162.86 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 162.83/162.86 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel__right__disj,axiom,
% 162.83/162.86 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)))
% 162.83/162.86 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 162.83/162.86 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__square__less__zero,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__ring(T_a)
% 162.83/162.86 => ~ 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__iff__diff__less__0,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__scale__eq__noteq,axiom,
% 162.83/162.86 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 162.83/162.86 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 162.83/162.86 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 => ( ( V_a = V_b
% 162.83/162.86 & V_c != V_d )
% 162.83/162.86 => 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)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_not__one__less__zero,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__one,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__less__nonneg,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__less__0__iff__less,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_neg__0__less__iff__less,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__minus__self__iff,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_right__minus,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 162.83/162.86 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_left__minus,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_ab__left__minus,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Oab__group__add(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_minus__unique,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__0,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Groups_Ogroup__add(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__empty,axiom,
% 162.83/162.86 ! [V_f_2,T_b,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum_Oempty,axiom,
% 162.83/162.86 ! [V_g_2,T_b,T_a] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__infinite,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum_Oinfinite,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__zero__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( ( class_Rings_Ocomm__semiring__1(T_b)
% 162.83/162.86 & class_Rings_Ono__zero__divisors(T_b) )
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b)
% 162.83/162.86 <=> ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.86 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__zero,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Rings_Ocomm__semiring__1(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.86 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__Suc__eq__0__disj,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 162.83/162.86 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 | ? [B_j] :
% 162.83/162.86 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_less__Suc0,axiom,
% 162.83/162.86 ! [V_n_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 162.83/162.86 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_gr0__conv__Suc,axiom,
% 162.83/162.86 ! [V_n_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 162.83/162.86 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_one__is__add,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( 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_n_2)
% 162.83/162.86 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 162.83/162.86 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__is__1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 162.83/162.86 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__gr__0,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( 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_n_2)))
% 162.83/162.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 162.83/162.86 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card_Oempty,axiom,
% 162.83/162.86 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__infinite,axiom,
% 162.83/162.86 ! [V_A_2,T_a] :
% 162.83/162.86 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__eq__1__iff,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__less,axiom,
% 162.83/162.86 ! [V_m,V_n] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 162.83/162.86 => 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)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__diff,axiom,
% 162.83/162.86 ! [V_m_2,V_n_2] :
% 162.83/162.86 ( 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_n_2),V_m_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__eq__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 162.83/162.86 => ( 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_n_2)
% 162.83/162.86 <=> V_m_2 = V_n_2 ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__mult__less__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 162.83/162.86 => ( 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_n_2)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__0__less__mult__iff,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2] :
% 162.83/162.86 ( 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_n_2)))
% 162.83/162.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel1,axiom,
% 162.83/162.86 ! [V_n_2,V_m_2,V_k_2] :
% 162.83/162.86 ( 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_n_2)))
% 162.83/162.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__cancel2,axiom,
% 162.83/162.86 ! [V_n_2,V_k_2,V_m_2] :
% 162.83/162.86 ( 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_n_2),V_k_2)))
% 162.83/162.86 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 162.83/162.86 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__mono1,axiom,
% 162.83/162.86 ! [V_k,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__less__mono2,axiom,
% 162.83/162.86 ! [V_k,V_j,V_i] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__add__0,axiom,
% 162.83/162.86 ! [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) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_One__nat__def,axiom,
% 162.83/162.86 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__eq__self__implies__10,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 162.83/162.86 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__eq__0__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_F_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 <=> ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 162.83/162.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__pred_H,axiom,
% 162.83/162.86 ! [V_n] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 162.83/162.86 => 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))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__eq__if,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 162.83/162.86 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => 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)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_mult__eq__if,axiom,
% 162.83/162.86 ! [V_n,V_m] :
% 162.83/162.86 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 162.83/162.86 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => 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)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_zero__less__two,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.86 => 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)))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__eq__0__iff,axiom,
% 162.83/162.86 ! [V_A_2,T_a] :
% 162.83/162.86 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.86 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__ge__0__finite,axiom,
% 162.83/162.86 ! [V_A_2,T_a] :
% 162.83/162.86 ( 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_a),V_A_2)))
% 162.83/162.86 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__Suc__less,axiom,
% 162.83/162.86 ! [V_i,V_n] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 162.83/162.86 => 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)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__pred,axiom,
% 162.83/162.86 ! [V_n] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 162.83/162.86 => 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 ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_n__less__m__mult__n,axiom,
% 162.83/162.86 ! [V_m,V_n] :
% 162.83/162.86 ( 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))
% 162.83/162.86 => ( 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))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_n__less__n__mult__m,axiom,
% 162.83/162.86 ! [V_m,V_n] :
% 162.83/162.86 ( 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))
% 162.83/162.86 => ( 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))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_one__less__mult,axiom,
% 162.83/162.86 ! [V_m,V_n] :
% 162.83/162.86 ( 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))
% 162.83/162.86 => ( 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))
% 162.83/162.86 => 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))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__diff__split__asm,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_P_2] :
% 162.83/162.86 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 162.83/162.86 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 162.83/162.86 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 162.83/162.86 | ? [B_d] :
% 162.83/162.86 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 162.83/162.86 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_nat__diff__split,axiom,
% 162.83/162.86 ! [V_b_2,V_a_2,V_P_2] :
% 162.83/162.86 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 162.83/162.86 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 162.83/162.86 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 162.83/162.86 & ! [B_d] :
% 162.83/162.86 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 162.83/162.86 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__eq__Suc0__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 <=> ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.86 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 162.83/162.86 & ! [B_xa] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 162.83/162.86 => ( B_x != B_xa
% 162.83/162.86 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__eq__1__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 <=> ? [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.86 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 162.83/162.86 & ! [B_xa] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 162.83/162.86 => ( B_x != B_xa
% 162.83/162.86 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__pos__nat__iff,axiom,
% 162.83/162.86 ! [V_f_2,V_S_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 162.83/162.86 => ( 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_a,tc_Nat_Onat),V_f_2),V_S_2)))
% 162.83/162.86 <=> ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 162.83/162.86 => 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))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__gt__0__iff,axiom,
% 162.83/162.86 ! [V_A_2,T_a] :
% 162.83/162.86 ( 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_a),V_A_2)))
% 162.83/162.86 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_finite__UNIV__card__ge__0,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.86 => 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_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum_OF__eq,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) )
% 162.83/162.86 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum_Oeq__fold,axiom,
% 162.83/162.86 ! [V_g_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Suc__diff__1,axiom,
% 162.83/162.86 ! [V_n] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 162.83/162.86 => 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 ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln_Oequations_I9_J,axiom,
% 162.83/162.86 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),hAPP(c_Nat_OSuc,V_a3_2)),V_a4_2))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2),V_a4_2)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_triple_Osize_I1_J,axiom,
% 162.83/162.86 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_even__less__0__iff,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_triple_Osize_I2_J,axiom,
% 162.83/162.86 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_evaln__elim__cases_I6_J,axiom,
% 162.83/162.86 ! [V_s1,V_n,V_s,V_P] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_n),V_s1))
% 162.83/162.86 => ~ ! [B_n] :
% 162.83/162.86 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 162.83/162.86 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),B_n),V_s1)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card_Ounion__inter__neutral,axiom,
% 162.83/162.86 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.86 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.86 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 162.83/162.86 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.86 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setsum__Un__zero,axiom,
% 162.83/162.86 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 162.83/162.86 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.86 => ( ! [B_x] :
% 162.83/162.86 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 162.83/162.86 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__Suc__eq,axiom,
% 162.83/162.86 ! [V_k_2,V_A_2,T_a] :
% 162.83/162.86 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 162.83/162.86 <=> ? [B_b,B_B] :
% 162.83/162.86 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B)
% 162.83/162.86 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B))
% 162.83/162.86 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2
% 162.83/162.86 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 162.83/162.86 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_double__eq__0__iff,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.86 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_option_Osize_I2_J,axiom,
% 162.83/162.86 ! [V_a_2,V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,hAPP(c_Option_Ooption_OSome(T_a),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_Ints__odd__less__0,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),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)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_com_Osize_I4_J,axiom,
% 162.83/162.86 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_card__Plus__conv__if,axiom,
% 162.83/162.86 ! [V_B_2,T_b,V_A_2,T_a] :
% 162.83/162.86 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) )
% 162.83/162.86 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 162.83/162.86 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_com_Osize_I12_J,axiom,
% 162.83/162.86 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_setprod__diff1,axiom,
% 162.83/162.86 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] :
% 162.83/162.86 ( class_Fields_Ofield(T_b)
% 162.83/162.86 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.86 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b)
% 162.83/162.86 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 162.83/162.86 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.86 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn__neg,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.86 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn__1__neg,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))
% 162.83/162.86 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn__sgn,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_divide__zero__left,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_divide__zero,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_add__divide__distrib,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => 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)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_times__divide__eq__right,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_diff__divide__distrib,axiom,
% 162.83/162.86 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => 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)) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_divide__1,axiom,
% 162.83/162.86 ! [V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_minus__divide__left,axiom,
% 162.83/162.86 ! [V_b,V_a,T_a] :
% 162.83/162.86 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.86 => 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) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn0,axiom,
% 162.83/162.86 ! [T_a] :
% 162.83/162.86 ( class_Groups_Osgn__if(T_a)
% 162.83/162.86 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn__0__0,axiom,
% 162.83/162.86 ! [V_a_2,T_a] :
% 162.83/162.86 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.86 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.86 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.86
% 162.83/162.86 fof(fact_sgn__times,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_eq__divide__imp,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 162.83/162.87 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__eq__imp,axiom,
% 162.83/162.87 ! [V_a,V_b,V_c,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 162.83/162.87 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nonzero__divide__eq__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 162.83/162.87 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nonzero__eq__divide__eq,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 162.83/162.87 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__self__if,axiom,
% 162.83/162.87 ! [V_a,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 162.83/162.87 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 162.83/162.87 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__self,axiom,
% 162.83/162.87 ! [V_a,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_right__inverse__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_b_2,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.87 <=> V_a_2 = V_b_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nonzero__minus__divide__right,axiom,
% 162.83/162.87 ! [V_a,V_b,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nonzero__minus__divide__divide,axiom,
% 162.83/162.87 ! [V_a,V_b,T_a] :
% 162.83/162.87 ( class_Rings_Odivision__ring(T_a)
% 162.83/162.87 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__0,axiom,
% 162.83/162.87 ! [T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__add,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__mult,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__diff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__1,axiom,
% 162.83/162.87 ! [T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__minus,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oring__1(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sgn__less,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sgn__greater,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_option_Osize_I1_J,axiom,
% 162.83/162.87 ! [V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I15_J,axiom,
% 162.83/162.87 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I16_J,axiom,
% 162.83/162.87 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I7_J,axiom,
% 162.83/162.87 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I9_J,axiom,
% 162.83/162.87 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I8_J,axiom,
% 162.83/162.87 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_com_Osize_I1_J,axiom,
% 162.83/162.87 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__double__eq__0__iff,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Int_Oring__char__0(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__PlusD_I2_J,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_b,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__PlusD_I1_J,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_b,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__Plus,axiom,
% 162.83/162.87 ! [V_B_2,T_b,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__Plus__iff,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_b,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 162.83/162.87 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sgn__1__pos,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sgn__pos,axiom,
% 162.83/162.87 ! [V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_card__Plus,axiom,
% 162.83/162.87 ! [V_B_2,T_b,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.87 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Ints__odd__nonzero,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Int_Oring__char__0(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 162.83/162.87 => 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)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sgn__if,axiom,
% 162.83/162.87 ! [V_x,T_a] :
% 162.83/162.87 ( class_Groups_Osgn__if(T_a)
% 162.83/162.87 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 162.83/162.87 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_UNIV__Plus__UNIV,axiom,
% 162.83/162.87 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_gt__half__sum,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => 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)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_less__half__sum,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => 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))))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_diff__divide__eq__iff,axiom,
% 162.83/162.87 ! [V_y,V_x,V_z,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__diff__eq__iff,axiom,
% 162.83/162.87 ! [V_y,V_x,V_z,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_diff__frac__eq,axiom,
% 162.83/162.87 ! [V_w,V_x,V_z,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__frac__eq,axiom,
% 162.83/162.87 ! [V_w,V_x,V_z,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__add__eq__iff,axiom,
% 162.83/162.87 ! [V_y,V_x,V_z,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_times__divide__times__eq,axiom,
% 162.83/162.87 ! [V_w,V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_minus__divide__divide,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => 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) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_minus__divide__right,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Plus__eq__empty__conv,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_b,T_a] :
% 162.83/162.87 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))
% 162.83/162.87 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.87 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__less__divide__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( 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_a_2),V_b_2)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__less__0__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__pos__pos,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__pos__neg,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__neg__pos,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__neg__neg,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__strict__right__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__strict__right__mono__neg,axiom,
% 162.83/162.87 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_eq__divide__eq,axiom,
% 162.83/162.87 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 162.83/162.87 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 )
% 162.83/162.87 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__eq__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 162.83/162.87 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) )
% 162.83/162.87 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__divide__mult__cancel__right,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__divide__mult__cancel__left,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_frac__eq__eq,axiom,
% 162.83/162.87 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)
% 162.83/162.87 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_less__divide__eq,axiom,
% 162.83/162.87 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__less__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_pos__less__divide__eq,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_pos__divide__less__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__imp__div__pos__less,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => 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)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__imp__less__div__pos,axiom,
% 162.83/162.87 ! [V_x,V_z,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => ( 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))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_neg__less__divide__eq,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_neg__divide__less__eq,axiom,
% 162.83/162.87 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__strict__left__mono,axiom,
% 162.83/162.87 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => 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))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__strict__left__mono__neg,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => 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))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__num__frac,axiom,
% 162.83/162.87 ! [V_x,V_z,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__divide__eq__iff,axiom,
% 162.83/162.87 ! [V_y,V_x,V_z,T_a] :
% 162.83/162.87 ( class_Fields_Ofield(T_a)
% 162.83/162.87 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__frac__num,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Fields_Ofield__inverse__zero(T_a)
% 162.83/162.87 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 => 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) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nat_Osize_I2_J,axiom,
% 162.83/162.87 ! [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))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_setprod__Un,axiom,
% 162.83/162.87 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.87 ( class_Fields_Ofield(T_b)
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.87 => ( ! [B_x] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 162.83/162.87 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.87 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nat_Osize_I4_J,axiom,
% 162.83/162.87 ! [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))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_option_Osize_I4_J,axiom,
% 162.83/162.87 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_option_Osize_I3_J,axiom,
% 162.83/162.87 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_setprod__pos__nat,axiom,
% 162.83/162.87 ! [V_f_2,V_S_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 162.83/162.87 => ( ! [B_x] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 162.83/162.87 => 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))) )
% 162.83/162.87 => 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_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_psubset__insert__iff,axiom,
% 162.83/162.87 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.87 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 162.83/162.87 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__refl,axiom,
% 162.83/162.87 ! [V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_equalityI,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => V_A_2 = V_B_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subsetD,axiom,
% 162.83/162.87 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_empty__subsetI,axiom,
% 162.83/162.87 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Inter__anti__mono,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__refl,axiom,
% 162.83/162.87 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_set__eq__subset,axiom,
% 162.83/162.87 ! [T_a,V_B_2,V_A_2] :
% 162.83/162.87 ( V_A_2 = V_B_2
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_equalityD1,axiom,
% 162.83/162.87 ! [T_a,V_B_2,V_A_2] :
% 162.83/162.87 ( V_A_2 = V_B_2
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_equalityD2,axiom,
% 162.83/162.87 ! [T_a,V_B_2,V_A_2] :
% 162.83/162.87 ( V_A_2 = V_B_2
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__trans,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_equalityE,axiom,
% 162.83/162.87 ! [T_a,V_B_2,V_A_2] :
% 162.83/162.87 ( V_A_2 = V_B_2
% 162.83/162.87 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__fun__def,axiom,
% 162.83/162.87 ! [V_g_2,V_f_2,T_a,T_b] :
% 162.83/162.87 ( class_Orderings_Oord(T_b)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 162.83/162.87 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__linear,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__eq__iff,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( V_x_2 = V_y_2
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_rev__predicate1D,axiom,
% 162.83/162.87 ! [V_Q_2,T_a,V_x_2,V_P_2] :
% 162.83/162.87 ( hBOOL(hAPP(V_P_2,V_x_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 162.83/162.87 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__eq__refl,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( V_x = V_y
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__funD,axiom,
% 162.83/162.87 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 162.83/162.87 ( class_Orderings_Oord(T_b)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__antisym__conv,axiom,
% 162.83/162.87 ! [V_x_2,V_y_2,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_predicate1D,axiom,
% 162.83/162.87 ! [V_x_2,V_Q_2,V_P_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 162.83/162.87 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 162.83/162.87 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_ord__eq__le__trans,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oord(T_a)
% 162.83/162.87 => ( V_a = V_b
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I3_J,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( V_a = V_b
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_ord__le__eq__trans,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oord(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( V_b = V_c
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I4_J,axiom,
% 162.83/162.87 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => ( V_b = V_c
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__antisym,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => V_x = V_y ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__trans,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I5_J,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => V_x = V_y ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I6_J,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__funE,axiom,
% 162.83/162.87 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 162.83/162.87 ( class_Orderings_Oord(T_b)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__le__cases,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Union__mono,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nat__size,axiom,
% 162.83/162.87 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__not__less,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__not__le,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__le__less__linear,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__less__le,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 & V_x_2 != V_y_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_less__le__not__le,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__le__less,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 | V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_leI,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_not__leE,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__antisym__conv1,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__neq__le__trans,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( V_a != V_b
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I12_J,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( V_a != V_b
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_leD,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__less__imp__le,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_linorder__antisym__conv2,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Orderings_Olinorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> V_x_2 = V_y_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__le__imp__less__or__eq,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.87 | V_x = V_y ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__le__neq__trans,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( V_a != V_b
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I11_J,axiom,
% 162.83/162.87 ! [V_a,V_b,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => ( V_a != V_b
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__less__le__trans,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I7_J,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_order__le__less__trans,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Opreorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_xt1_I8_J,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Orderings_Oorder(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_in__mono,axiom,
% 162.83/162.87 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_set__rev__mp,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_set__mp,axiom,
% 162.83/162.87 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__le__imp__le__left,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__le__imp__le__right,axiom,
% 162.83/162.87 ! [V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__mono,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__left__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__right__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__le__cancel__left,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__le__cancel__right,axiom,
% 162.83/162.87 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_bot__least,axiom,
% 162.83/162.87 ! [V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Obot(T_a)
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_diff__eq__diff__less__eq,axiom,
% 162.83/162.87 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__empty,axiom,
% 162.83/162.87 ! [V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 162.83/162.87 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__supE,axiom,
% 162.83/162.87 ! [V_x,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( 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))
% 162.83/162.87 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 162.83/162.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__mono,axiom,
% 162.83/162.87 ! [V_d,V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__least,axiom,
% 162.83/162.87 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 162.83/162.87 => 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)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__supI,axiom,
% 162.83/162.87 ! [V_b,V_x,V_a,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 162.83/162.87 => 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)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__absorb1,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__absorb2,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__supI2,axiom,
% 162.83/162.87 ! [V_a,V_b,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__supI1,axiom,
% 162.83/162.87 ! [V_b,V_a,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__sup__iff,axiom,
% 162.83/162.87 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__iff__sup,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__ge2,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__sup__ord_I4_J,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sup__ge1,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__sup__ord_I3_J,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_rev__finite__subset,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__sup__ord_I1_J,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__le1,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__sup__ord_I2_J,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__le2,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => 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)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__iff__inf,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__inf__iff,axiom,
% 162.83/162.87 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2)))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__infI1,axiom,
% 162.83/162.87 ! [V_b,V_x,V_a,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 162.83/162.87 => 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)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__infI2,axiom,
% 162.83/162.87 ! [V_a,V_x,V_b,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 162.83/162.87 => 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)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__absorb1,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__absorb2,axiom,
% 162.83/162.87 ! [V_x,V_y,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__infI,axiom,
% 162.83/162.87 ! [V_b,V_a,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__greatest,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inf__mono,axiom,
% 162.83/162.87 ! [V_d,V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__infE,axiom,
% 162.83/162.87 ! [V_b,V_a,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 162.83/162.87 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_top__greatest,axiom,
% 162.83/162.87 ! [V_x,T_a] :
% 162.83/162.87 ( class_Orderings_Otop(T_a)
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__insertI,axiom,
% 162.83/162.87 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__insertI2,axiom,
% 162.83/162.87 ! [V_b_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_insert__mono,axiom,
% 162.83/162.87 ! [V_a_2,V_D_2,V_C_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__imp__neg__le,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_neg__le__iff__le,axiom,
% 162.83/162.87 ! [V_a_2,V_b_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_minus__le__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__minus__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_compl__le__compl__iff,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_compl__mono,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Oboolean__algebra(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__image__iff,axiom,
% 162.83/162.87 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 162.83/162.87 <=> ? [B_AA] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2))
% 162.83/162.87 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_image__mono,axiom,
% 162.83/162.87 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__UNIV,axiom,
% 162.83/162.87 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__upper1,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__upper2,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__Un__eq,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__absorb1,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__absorb2,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__least,axiom,
% 162.83/162.87 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__mono,axiom,
% 162.83/162.87 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__lower1,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__lower2,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__absorb2,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__absorb1,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__greatest,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Int__mono,axiom,
% 162.83/162.87 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Diff__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Diff__mono,axiom,
% 162.83/162.87 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_double__diff,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__inj__on,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 162.83/162.87 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Sup__le__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_A_2,T_a] :
% 162.83/162.87 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2))
% 162.83/162.87 <=> ! [B_x] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_less__fun__def,axiom,
% 162.83/162.87 ! [V_g_2,V_f_2,T_a,T_b] :
% 162.83/162.87 ( class_Orderings_Oord(T_b)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 162.83/162.87 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Compl__subset__Compl__iff,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Compl__anti__mono,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_asm,axiom,
% 162.83/162.87 ! [V_G_2,V_ts_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_G_2))
% 162.83/162.87 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_weaken,axiom,
% 162.83/162.87 ! [V_ts_2,V_ts_H_2,V_G_2,T_a] :
% 162.83/162.87 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_H_2)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 162.83/162.87 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_thin,axiom,
% 162.83/162.87 ! [V_G_2,V_ts_2,V_G_H_2,T_a] :
% 162.83/162.87 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_G_2))
% 162.83/162.87 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,V_ts_2) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__Inf__iff,axiom,
% 162.83/162.87 ! [V_A_2,V_b_2,T_a] :
% 162.83/162.87 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)))
% 162.83/162.87 <=> ! [B_x] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_vimage__mono,axiom,
% 162.83/162.87 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_psubset__eq,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 & V_A_2 != V_B_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__iff__psubset__eq,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 | V_A_2 = V_B_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_psubset__imp__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_psubset__subset__trans,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__psubset__trans,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__nonpos__nonpos,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__increasing2,axiom,
% 162.83/162.87 ! [V_a,V_b,V_c,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__increasing,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__nonneg__eq__0__iff,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2))
% 162.83/162.87 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__nonneg__nonneg,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.87 => ( 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_2),V_a_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_split__mult__neg__le,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__cancel__semiring(T_a)
% 162.83/162.87 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_split__mult__pos__le,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 162.83/162.87 => 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))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__mono,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__mono_H,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__left__mono__neg,axiom,
% 162.83/162.87 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__right__mono__neg,axiom,
% 162.83/162.87 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_comm__mult__left__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__comm__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__left__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__right__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__nonpos__nonpos,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__nonpos__nonneg,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__cancel__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__nonneg__nonpos2,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__cancel__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__nonneg__nonpos,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__cancel__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__nonneg__nonneg,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__cancel__semiring(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__le__0__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__le__mult__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.87 => ( 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_2),V_b_2)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__le__square,axiom,
% 162.83/162.87 ! [V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__le__less__mono,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__less__le__mono,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__iff__diff__le__0,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_not__one__le__zero,axiom,
% 162.83/162.87 ! [T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.87 => ~ 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__le__one,axiom,
% 162.83/162.87 ! [T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semidom(T_a)
% 162.83/162.87 => 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))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_minus__le__self__iff,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_neg__le__0__iff__le,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__minus__self__iff,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Olinordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_neg__0__le__iff__le,axiom,
% 162.83/162.87 ! [V_a_2,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__ab__group__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_insert__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2))
% 162.83/162.87 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__insert,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 162.83/162.87 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_distrib__sup__le,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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)))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_distrib__inf__le,axiom,
% 162.83/162.87 ! [V_z,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Lattices_Olattice(T_a)
% 162.83/162.87 => 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)))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__singletonD,axiom,
% 162.83/162.87 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 162.83/162.87 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.87 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__right__mono__neg,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__right__mono,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__le__0__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_zero__le__divide__iff,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.87 => ( 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_a_2),V_b_2)))
% 162.83/162.87 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 162.83/162.87 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__surj,axiom,
% 162.83/162.87 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 162.83/162.87 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_image__Int__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Sup__upper,axiom,
% 162.83/162.87 ! [V_A_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Un__Int__assoc__eq,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_image__diff__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Diff__subset__conv,axiom,
% 162.83/162.87 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Diff__partition,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.87 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Inf__lower,axiom,
% 162.83/162.87 ! [V_A_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_subset__Compl__self__eq,axiom,
% 162.83/162.87 ! [V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 162.83/162.87 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_image__vimage__subset,axiom,
% 162.83/162.87 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Union__Int__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Union__upper,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Inter__Un__subset,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_Inter__lower,axiom,
% 162.83/162.87 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 162.83/162.87 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 162.83/162.87 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.87 => 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) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_nat_Osize_I3_J,axiom,
% 162.83/162.87 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) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__nonpos__neg,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__neg__nonpos,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__strict__increasing2,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__strict__increasing,axiom,
% 162.83/162.87 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__nonneg__pos,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_add__pos__nonneg,axiom,
% 162.83/162.87 ! [V_b,V_a,T_a] :
% 162.83/162.87 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__left__le__imp__le,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__right__le__imp__le,axiom,
% 162.83/162.87 ! [V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__less__imp__less__left,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__left__less__imp__less,axiom,
% 162.83/162.87 ! [V_b,V_a,V_c,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__less__imp__less__right,axiom,
% 162.83/162.87 ! [V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__right__less__imp__less,axiom,
% 162.83/162.87 ! [V_b,V_c,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring(T_a)
% 162.83/162.87 => ( 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)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__le__less__imp__less,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__less__le__imp__less,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__strict__mono_H,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__strict__mono,axiom,
% 162.83/162.87 ! [V_d,V_c,V_b,V_a,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__semiring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__le__cancel__left__neg,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__le__cancel__left__pos,axiom,
% 162.83/162.87 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sum__squares__le__zero__iff,axiom,
% 162.83/162.87 ! [V_y_2,V_x_2,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring__strict(T_a)
% 162.83/162.87 => ( 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_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 162.83/162.87 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_sum__squares__ge__zero,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__ring(T_a)
% 162.83/162.87 => 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)))) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__left__le__one__le,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 162.83/162.87 => 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)) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_mult__right__le__one__le,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Rings_Olinordered__idom(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 162.83/162.87 => 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)) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__add__iff1,axiom,
% 162.83/162.87 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 162.83/162.87 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_le__add__iff2,axiom,
% 162.83/162.87 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 162.83/162.87 ( class_Rings_Oordered__ring(T_a)
% 162.83/162.87 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__nonpos__neg,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__nonpos__pos,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_frac__le,axiom,
% 162.83/162.87 ! [V_z,V_w,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_frac__less,axiom,
% 162.83/162.87 ! [V_z,V_w,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_frac__less2,axiom,
% 162.83/162.87 ! [V_z,V_w,V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 162.83/162.87 => 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))) ) ) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__nonneg__neg,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_divide__nonneg__pos,axiom,
% 162.83/162.87 ! [V_y,V_x,T_a] :
% 162.83/162.87 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.87 => 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))) ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inj__on__iff__surj,axiom,
% 162.83/162.87 ! [V_A_H_2,T_b,T_a,V_A_2] :
% 162.83/162.87 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.87 => ( ? [B_f] :
% 162.83/162.87 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 162.83/162.87 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) )
% 162.83/162.87 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_finite__surj__inj,axiom,
% 162.83/162.87 ! [V_f_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)))
% 162.83/162.87 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_endo__inj__surj,axiom,
% 162.83/162.87 ! [V_f_2,V_A_2,T_a] :
% 162.83/162.87 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2))
% 162.83/162.87 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2)
% 162.83/162.87 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 162.83/162.87
% 162.83/162.87 fof(fact_inj__image__subset__iff,axiom,
% 162.83/162.87 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.87 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.87 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)))
% 162.83/162.87 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_inj__on__image__Int,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.88 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_inj__on__image__set__diff,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 162.83/162.88 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_disjoint__eq__subset__Compl,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.88 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_surj__Compl__image__subset,axiom,
% 162.83/162.88 ! [V_A_2,V_f_2,T_a,T_b] :
% 162.83/162.88 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_vimage__subsetD,axiom,
% 162.83/162.88 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] :
% 162.83/162.88 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 162.83/162.88 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => 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) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_nat_Osize_I1_J,axiom,
% 162.83/162.88 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_convex__bound__le,axiom,
% 162.83/162.88 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 162.83/162.88 ( class_Rings_Olinordered__semiring__1(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 162.83/162.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.88 => 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)) ) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_divide__left__mono__neg,axiom,
% 162.83/162.88 ! [V_c,V_b,V_a,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => ( 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)))
% 162.83/162.88 => 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))) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_divide__left__mono,axiom,
% 162.83/162.88 ! [V_c,V_a,V_b,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 162.83/162.88 => ( 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)))
% 162.83/162.88 => 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))) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_neg__divide__le__eq,axiom,
% 162.83/162.88 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_neg__le__divide__eq,axiom,
% 162.83/162.88 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_mult__imp__le__div__pos,axiom,
% 162.83/162.88 ! [V_x,V_z,V_y,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.88 => ( 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))
% 162.83/162.88 => 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))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_mult__imp__div__pos__le,axiom,
% 162.83/162.88 ! [V_z,V_x,V_y,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 162.83/162.88 => ( 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)))
% 162.83/162.88 => 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)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_pos__divide__le__eq,axiom,
% 162.83/162.88 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_pos__le__divide__eq,axiom,
% 162.83/162.88 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_divide__le__eq,axiom,
% 162.83/162.88 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 162.83/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 162.83/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 162.83/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_le__divide__eq,axiom,
% 162.83/162.88 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 162.83/162.88 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 162.83/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 162.83/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 162.83/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 162.83/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_subset__insert__iff,axiom,
% 162.83/162.88 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 162.83/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 162.83/162.88 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_diff__single__insert,axiom,
% 162.83/162.88 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_sup__le__fold__sup,axiom,
% 162.83/162.88 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Osemilattice__sup(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_fold__inf__le__inf,axiom,
% 162.83/162.88 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__diff,axiom,
% 162.83/162.88 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Oab__group__add(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_fold1__belowI,axiom,
% 162.83/162.88 ! [V_a_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_card__bij__eq,axiom,
% 162.83/162.88 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 162.83/162.88 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 162.83/162.88 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_below__fold1__iff,axiom,
% 162.83/162.88 ! [V_x_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Osemilattice__inf(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)))
% 162.83/162.88 <=> ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_card__Diff__subset,axiom,
% 162.83/162.88 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_Sup__fin_Osubset__idem,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Olattice(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_Inf__fin_Osubset__idem,axiom,
% 162.83/162.88 ! [V_B_2,V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Olattice(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_inj__image__Compl__subset,axiom,
% 162.83/162.88 ! [V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_vimage__subsetI,axiom,
% 162.83/162.88 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_card__psubset,axiom,
% 162.83/162.88 ! [V_A_2,V_B_2,T_a] :
% 162.83/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__diff__nat,axiom,
% 162.83/162.88 ! [V_f_2,V_A_2,V_B_2,T_a] :
% 162.83/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_Inf__le__Sup,axiom,
% 162.83/162.88 ! [V_A_2,T_a] :
% 162.83/162.88 ( class_Lattices_Olattice(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 162.83/162.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_convex__bound__lt,axiom,
% 162.83/162.88 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 162.83/162.88 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 162.83/162.88 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 162.83/162.88 => 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)) ) ) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__mono2,axiom,
% 162.83/162.88 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.88 => ( ! [B_b] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) )
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__mono3,axiom,
% 162.83/162.88 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 162.83/162.88 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.88 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.88 => ( ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_the__inv__into__into,axiom,
% 162.83/162.88 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 162.83/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 162.83/162.88 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setprod__mono__one__left,axiom,
% 162.83/162.88 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 162.83/162.88 => ( ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 162.83/162.88 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setprod__mono__one__right,axiom,
% 162.83/162.88 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Ocomm__monoid__mult(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 162.83/162.88 => ( ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 162.83/162.88 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__mono__zero__left,axiom,
% 162.83/162.88 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 162.83/162.88 => ( ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 162.83/162.88 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_setsum__mono__zero__right,axiom,
% 162.83/162.88 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 162.83/162.88 ( class_Groups_Ocomm__monoid__add(T_b)
% 162.83/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 162.83/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 162.83/162.88 => ( ! [B_x] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 162.83/162.88 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 162.83/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_le0,axiom,
% 162.83/162.88 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_le__0__eq,axiom,
% 162.83/162.88 ! [V_n_2] :
% 162.83/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 162.83/162.88 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 162.83/162.88 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 162.83/162.88
% 162.83/162.88 fof(fact_Suc__leD,axiom,
% 162.83/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__SucE,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 163.03/162.88 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__SucI,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__le__mono,axiom,
% 163.03/162.88 ! [V_m_2,V_n_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__Suc__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_not__less__eq__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__n__not__le__n,axiom,
% 163.03/162.88 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_termination__basic__simps_I5_J,axiom,
% 163.03/162.88 ! [V_y,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__or__eq__imp__le,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 | V_m = V_n )
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__neq__implies__less,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => ( V_m != V_n
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__imp__le__nat,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__eq__less__or__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 | V_m_2 = V_n_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__less__le,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 & V_m_2 != V_n_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_termination__basic__simps_I4_J,axiom,
% 163.03/162.88 ! [V_y,V_z,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_termination__basic__simps_I3_J,axiom,
% 163.03/162.88 ! [V_z,V_y,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__leE,axiom,
% 163.03/162.88 ! [V_n,V_k,V_m] :
% 163.03/162.88 ( 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))
% 163.03/162.88 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__leD1,axiom,
% 163.03/162.88 ! [V_n,V_k,V_m] :
% 163.03/162.88 ( 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))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__leD2,axiom,
% 163.03/162.88 ! [V_n,V_k,V_m] :
% 163.03/162.88 ( 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))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__le__mono,axiom,
% 163.03/162.88 ! [V_l,V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__le__mono1,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_trans__le__add2,axiom,
% 163.03/162.88 ! [V_m,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_trans__le__add1,axiom,
% 163.03/162.88 ! [V_m,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__add__left__cancel__le,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__iff__add,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__add1,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__add2,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__le__self,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__le__mono2,axiom,
% 163.03/162.88 ! [V_l,V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__le__mono,axiom,
% 163.03/162.88 ! [V_l,V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__diff__cancel,axiom,
% 163.03/162.88 ! [V_n,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 163.03/162.88 => 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 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_eq__diff__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.03/162.88 => ( 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_n_2),V_k_2)
% 163.03/162.88 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat_Odiff__diff__eq,axiom,
% 163.03/162.88 ! [V_n,V_m,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.03/162.88 => 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) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__diff__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.03/162.88 => ( 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_n_2),V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__square,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__cube,axiom,
% 163.03/162.88 ! [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)))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__le__mono1,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__le__mono2,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__le__mono,axiom,
% 163.03/162.88 ! [V_l,V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln__nonstrict,axiom,
% 163.03/162.88 ! [V_m,V_t,V_n,V_s,V_c] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.88 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__eq__Suc__le,axiom,
% 163.03/162.88 ! [V_m_2,V_n_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__Suc__eq__le,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__le__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__imp__less__Suc,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__leI,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__less__Suc__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 163.03/162.88 <=> V_n_2 = V_m_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__le__lessD,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__is__0__eq,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__is__0__eq_H,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__diff__le,axiom,
% 163.03/162.88 ! [V_m,V_n] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Suc__mult__le__cancel1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__less__mono,axiom,
% 163.03/162.88 ! [V_c,V_b,V_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__diff__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.03/162.88 => ( 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_n_2),V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__diff__right,axiom,
% 163.03/162.88 ! [V_i,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__diff__conv,axiom,
% 163.03/162.88 ! [V_i_2,V_k_2,V_j_2] :
% 163.03/162.88 ( 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))
% 163.03/162.88 <=> 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__add__diff,axiom,
% 163.03/162.88 ! [V_m,V_n,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__add__diff__inverse,axiom,
% 163.03/162.88 ! [V_m,V_n] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.88 => 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 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__diff__assoc,axiom,
% 163.03/162.88 ! [V_i,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__diff__conv2,axiom,
% 163.03/162.88 ! [V_i_2,V_j_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 163.03/162.88 => ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__add__diff__inverse2,axiom,
% 163.03/162.88 ! [V_m,V_n] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.88 => 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 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__imp__diff__is__add,axiom,
% 163.03/162.88 ! [V_k_2,V_j_2,V_i_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.88 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 163.03/162.88 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__add__assoc,axiom,
% 163.03/162.88 ! [V_i,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__diff__assoc2,axiom,
% 163.03/162.88 ! [V_i,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__add__assoc2,axiom,
% 163.03/162.88 ! [V_i,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__insert__le,axiom,
% 163.03/162.88 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_one__le__mult__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> ( 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))
% 163.03/162.88 & 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_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__le__cancel2,axiom,
% 163.03/162.88 ! [V_n_2,V_k_2,V_m_2] :
% 163.03/162.88 ( 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_n_2),V_k_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__le__cancel1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__mult__le__cancel1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.03/162.88 => ( 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_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__mono,axiom,
% 163.03/162.88 ! [V_A_2,V_B_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__seteq,axiom,
% 163.03/162.88 ! [V_A_2,V_B_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 163.03/162.88 => V_A_2 = V_B_2 ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__image__le,axiom,
% 163.03/162.88 ! [V_f_2,T_b,V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__Suc__diff__eq2,axiom,
% 163.03/162.88 ! [V_m,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__Suc__diff__eq1,axiom,
% 163.03/162.88 ! [V_m,V_j,V_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__le__add__iff1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.03/162.88 => ( 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_n_2)))
% 163.03/162.88 <=> 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_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__diff__add__eq1,axiom,
% 163.03/162.88 ! [V_n,V_m,V_u,V_i,V_j] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__eq__add__iff1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.03/162.88 => ( 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_n_2)
% 163.03/162.88 <=> 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_n_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__le__add__iff2,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.88 => ( 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_n_2)))
% 163.03/162.88 <=> 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_n_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__diff__add__eq2,axiom,
% 163.03/162.88 ! [V_n,V_m,V_u,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__eq__add__iff2,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.88 => ( 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_n_2)
% 163.03/162.88 <=> 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_n_2) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_the__inv__into__f__f,axiom,
% 163.03/162.88 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.88 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_the__inv__into__f__eq,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.88 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_the__inv__f__f,axiom,
% 163.03/162.88 ! [V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.88 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_the__inv__into__onto,axiom,
% 163.03/162.88 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_inj__on__the__inv__into,axiom,
% 163.03/162.88 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__less__add__iff2,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.88 => ( 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_n_2)))
% 163.03/162.88 <=> 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_n_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__less__add__iff1,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.03/162.88 => ( 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_n_2)))
% 163.03/162.88 <=> 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_n_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__card__le__card__Diff,axiom,
% 163.03/162.88 ! [V_A_2,V_B_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.88 => 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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_f__the__inv__into__f,axiom,
% 163.03/162.88 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 163.03/162.88 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__Diff1__le,axiom,
% 163.03/162.88 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__inj__on__le,axiom,
% 163.03/162.88 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_inj__on__iff__card__le,axiom,
% 163.03/162.88 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.03/162.88 => ( ? [B_f] :
% 163.03/162.88 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 163.03/162.88 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) )
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Powp__mono,axiom,
% 163.03/162.88 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_finite__subset__induct,axiom,
% 163.03/162.88 ! [V_P_2,V_A_2,V_F_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_A_2))
% 163.03/162.88 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.88 => ( ! [B_a,B_F] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 163.03/162.88 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F))
% 163.03/162.88 => ( hBOOL(hAPP(V_P_2,B_F))
% 163.03/162.88 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) )
% 163.03/162.88 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_field__le__mult__one__interval,axiom,
% 163.03/162.88 ! [V_y,V_x,T_a] :
% 163.03/162.88 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 => ( ! [B_z] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.88 => 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)) ) )
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Inter__subset,axiom,
% 163.03/162.88 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.88 ( ! [B_X] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) )
% 163.03/162.88 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_setsum__SucD,axiom,
% 163.03/162.88 ! [V_n_2,V_A_2,V_f_2,T_a] :
% 163.03/162.88 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 163.03/162.88 => ? [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 & 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 163.03/162.88 ! [V_N_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.03/162.88 <=> ? [B_m] :
% 163.03/162.88 ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__refl,axiom,
% 163.03/162.88 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__le__linear,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_eq__imp__le,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( V_m = V_n
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__trans,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__antisym,axiom,
% 163.03/162.88 ! [V_n,V_m] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.88 => V_m = V_n ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_finite__nat__set__iff__bounded,axiom,
% 163.03/162.88 ! [V_N_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.03/162.88 <=> ? [B_m] :
% 163.03/162.88 ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OatMost__iff,axiom,
% 163.03/162.88 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OatLeast__iff,axiom,
% 163.03/162.88 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OlessThan__iff,axiom,
% 163.03/162.88 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OgreaterThan__iff,axiom,
% 163.03/162.88 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 163.03/162.88 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 163.03/162.88 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_infinite__UNIV__nat,axiom,
% 163.03/162.88 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 163.03/162.88 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 163.03/162.88 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_ex__least__nat__less,axiom,
% 163.03/162.88 ! [V_n_2,V_P_2] :
% 163.03/162.88 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 163.03/162.88 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 163.03/162.88 => ? [B_k] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 163.03/162.88 & ! [B_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 163.03/162.88 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 163.03/162.88 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card__partition,axiom,
% 163.03/162.88 ! [V_k_2,V_C_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2))
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 163.03/162.88 => ( ! [B_c] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2))
% 163.03/162.88 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 )
% 163.03/162.88 => ( ! [B_c1] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2))
% 163.03/162.88 => ! [B_c2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2))
% 163.03/162.88 => ( B_c1 != B_c2
% 163.03/162.88 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 163.03/162.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osize_I5_J,axiom,
% 163.03/162.88 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osize_I13_J,axiom,
% 163.03/162.88 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln_OIfFalse,axiom,
% 163.03/162.88 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 163.03/162.88 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_s1_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln_OIfTrue,axiom,
% 163.03/162.88 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 163.03/162.88 ( hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_n_2),V_s1_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln__elim__cases_I5_J,axiom,
% 163.03/162.88 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_n_2),V_t_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_t_2)) )
% 163.03/162.88 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_n_2),V_t_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evalc__elim__cases_I5_J,axiom,
% 163.03/162.88 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 163.03/162.88 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evalc_OIfTrue,axiom,
% 163.03/162.88 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 163.03/162.88 ( hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evalc_OIfFalse,axiom,
% 163.03/162.88 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 163.03/162.88 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WTs__elim__cases_I5_J,axiom,
% 163.03/162.88 ! [V_c2_2,V_c1_2,V_b_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)))
% 163.03/162.88 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 163.03/162.88 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I4_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 163.03/162.88 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2)
% 163.03/162.88 <=> ( V_fun_2 = V_fun_H_2
% 163.03/162.88 & V_com1_2 = V_com1_H_2
% 163.03/162.88 & V_com2_2 = V_com2_H_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln_Oequations_I5_J,axiom,
% 163.03/162.88 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2)),V_a2_2),V_a4_2),V_a5_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) )
% 163.03/162.88 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evaln_Oequations_I6_J,axiom,
% 163.03/162.88 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2)),V_a2_2),V_a4_2),V_a5_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) )
% 163.03/162.88 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evalc_Oequations_I6_J,axiom,
% 163.03/162.88 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 163.03/162.88 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_evalc_Oequations_I5_J,axiom,
% 163.03/162.88 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 163.03/162.88 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.88 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I55_J,axiom,
% 163.03/162.88 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I54_J,axiom,
% 163.03/162.88 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WT_Oequations_I5_J,axiom,
% 163.03/162.88 ! [V_a2_2,V_a1_2,V_a3_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)))
% 163.03/162.88 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 163.03/162.88 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WT_OIf,axiom,
% 163.03/162.88 ! [V_b_2,V_c1_2,V_c0_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,V_c0_2))
% 163.03/162.88 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 163.03/162.88 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I57_J,axiom,
% 163.03/162.88 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I56_J,axiom,
% 163.03/162.88 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I44_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I45_J,axiom,
% 163.03/162.88 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I14_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I15_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ).
% 163.03/162.88
% 163.03/162.88 fof(fact_fold__image__1,axiom,
% 163.03/162.88 ! [V_f_2,V_S_2,T_a,T_b] :
% 163.03/162.88 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 163.03/162.88 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 163.03/162.88 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_card_Oneutral,axiom,
% 163.03/162.88 ! [V_A_2,T_a] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.88 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_fold__image__cong,axiom,
% 163.03/162.88 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 163.03/162.88 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 163.03/162.88 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_inf__le__fold__inf,axiom,
% 163.03/162.88 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 163.03/162.88 ( class_Lattices_Osemilattice__inf(T_a)
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_fold__sup__le__sup,axiom,
% 163.03/162.88 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 163.03/162.88 ( class_Lattices_Osemilattice__sup(T_a)
% 163.03/162.88 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_expand__Suc,axiom,
% 163.03/162.88 ! [V_v] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_eq__number__of,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.88 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 & class_Int_Oring__char__0(T_a) )
% 163.03/162.88 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 163.03/162.88 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__reorient,axiom,
% 163.03/162.88 ! [V_x_2,V_w_2,T_a] :
% 163.03/162.88 ( class_Int_Onumber(T_a)
% 163.03/162.88 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2
% 163.03/162.88 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__number__of,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.88 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__number__of,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.88 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__number__of__left,axiom,
% 163.03/162.88 ! [V_z,V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__number__of__eq,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__add,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__mult,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_arith__simps_I32_J,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__number__of__left,axiom,
% 163.03/162.88 ! [V_z,V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__number__of__eq,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__diff,axiom,
% 163.03/162.88 ! [V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__minus,axiom,
% 163.03/162.88 ! [V_w,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_arith__simps_I30_J,axiom,
% 163.03/162.88 ! [V_w,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__number__of__eq__not__less,axiom,
% 163.03/162.88 ! [V_w_2,V_v_2,T_a] :
% 163.03/162.88 ( ( class_Int_Onumber(T_a)
% 163.03/162.88 & class_Orderings_Olinorder(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_right__distrib__number__of,axiom,
% 163.03/162.88 ! [V_c,V_b,V_v,T_b] :
% 163.03/162.88 ( ( class_Int_Onumber(T_b)
% 163.03/162.88 & class_Rings_Osemiring(T_b) )
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_left__distrib__number__of,axiom,
% 163.03/162.88 ! [V_v,V_b,V_a,T_b] :
% 163.03/162.88 ( ( class_Int_Onumber(T_b)
% 163.03/162.88 & class_Rings_Osemiring(T_b) )
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__number__of__diff1,axiom,
% 163.03/162.88 ! [V_c,V_w,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__number__of__diff2,axiom,
% 163.03/162.88 ! [V_w,V_c,V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_left__diff__distrib__number__of,axiom,
% 163.03/162.88 ! [V_v,V_b,V_a,T_b] :
% 163.03/162.88 ( ( class_Int_Onumber(T_b)
% 163.03/162.88 & class_Rings_Oring(T_b) )
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_right__diff__distrib__number__of,axiom,
% 163.03/162.88 ! [V_c,V_b,V_v,T_b] :
% 163.03/162.88 ( ( class_Int_Onumber(T_b)
% 163.03/162.88 & class_Rings_Oring(T_b) )
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_minus__number__of__mult,axiom,
% 163.03/162.88 ! [V_z,V_w,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Ints__number__of,axiom,
% 163.03/162.88 ! [V_w_2,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__eq__eq__number__of1,axiom,
% 163.03/162.88 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2
% 163.03/162.88 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) )
% 163.03/162.88 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__eq__eq__number__of,axiom,
% 163.03/162.88 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)
% 163.03/162.88 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) )
% 163.03/162.88 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_eq__divide__eq__number__of,axiom,
% 163.03/162.88 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 163.03/162.88 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) = V_b_2 )
% 163.03/162.88 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_eq__divide__eq__number__of1,axiom,
% 163.03/162.88 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))
% 163.03/162.88 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 )
% 163.03/162.88 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.88 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__divide__eq__number__of1,axiom,
% 163.03/162.88 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__divide__eq__number__of,axiom,
% 163.03/162.88 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__less__eq__number__of,axiom,
% 163.03/162.88 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__less__eq__number__of1,axiom,
% 163.03/162.88 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__le__eq__number__of1,axiom,
% 163.03/162.88 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_divide__le__eq__number__of,axiom,
% 163.03/162.88 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__divide__eq__number__of,axiom,
% 163.03/162.88 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__divide__eq__number__of1,axiom,
% 163.03/162.88 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 163.03/162.88 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.88 & class_Int_Onumber(T_a) )
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 163.03/162.88 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osize_I3_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osize_I11_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_setsum__reindex__cong,axiom,
% 163.03/162.88 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.88 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.03/162.88 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.88 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 163.03/162.88 => ( ! [B_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 163.03/162.88 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 163.03/162.88 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__pred,axiom,
% 163.03/162.88 ! [V_w,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_setprod__pos,axiom,
% 163.03/162.88 ! [V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.88 ( class_Rings_Olinordered__semidom(T_b)
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_setprod__nonneg,axiom,
% 163.03/162.88 ! [V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.88 ( class_Rings_Olinordered__semidom(T_b)
% 163.03/162.88 => ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 163.03/162.88 => 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__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WTs__elim__cases_I3_J,axiom,
% 163.03/162.88 ! [V_ca_2,V_a_2,V_Y_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2)))
% 163.03/162.88 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__eq__number__of__int__code,axiom,
% 163.03/162.88 ! [V_l_2,V_k_2] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_minus__numeral__code_I6_J,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_plus__numeral__code_I9_J,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_minus__numeral__code_I5_J,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_times__numeral__code_I5_J,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__number__of__int__code,axiom,
% 163.03/162.88 ! [V_l_2,V_k_2] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zsgn__def,axiom,
% 163.03/162.88 ! [V_i] :
% 163.03/162.88 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.88 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.88 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.88 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.03/162.88 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.03/162.88 => 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)) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_pos__zmult__eq__1__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 163.03/162.88 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.88 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.88 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__zless__mono2,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_less__bin__lemma,axiom,
% 163.03/162.88 ! [V_l_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 163.03/162.88 <=> 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__0__less__1,axiom,
% 163.03/162.88 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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zless__linear,axiom,
% 163.03/162.88 ! [V_y,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 163.03/162.88 | V_x = V_y
% 163.03/162.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zless__add1__eq,axiom,
% 163.03/162.88 ! [V_z_2,V_w_2] :
% 163.03/162.88 ( 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))))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.03/162.88 | V_w_2 = V_z_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_odd__less__0,axiom,
% 163.03/162.88 ! [V_z_2] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__strict__right__mono,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_odd__nonzero,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__zminus__inverse2,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__0__right,axiom,
% 163.03/162.88 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__0,axiom,
% 163.03/162.88 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zminus__0,axiom,
% 163.03/162.88 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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__zminus,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zdiff__zmult__distrib,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zdiff__zmult__distrib2,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__commute,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__assoc,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__zmult__distrib2,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__zmult__distrib,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zminus__zminus,axiom,
% 163.03/162.88 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__commute,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__left__commute,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__assoc,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zminus__zadd__distrib,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__int__def__symmetric,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__int__def,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__1,axiom,
% 163.03/162.88 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__1__right,axiom,
% 163.03/162.88 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 163.03/162.88
% 163.03/162.88 fof(fact_pred__def,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I2_J,axiom,
% 163.03/162.88 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 163.03/162.88 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2)
% 163.03/162.88 <=> ( V_loc_2 = V_loc_H_2
% 163.03/162.88 & V_fun_2 = V_fun_H_2
% 163.03/162.88 & V_com_2 = V_com_H_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__left__mono,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__antisym,axiom,
% 163.03/162.88 ! [V_w,V_z] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 163.03/162.88 => V_z = V_w ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__trans,axiom,
% 163.03/162.88 ! [V_k,V_j,V_i] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__linear,axiom,
% 163.03/162.88 ! [V_w,V_z] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.03/162.88 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__refl,axiom,
% 163.03/162.88 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__diff1__eq,axiom,
% 163.03/162.88 ! [V_z_2,V_w_2] :
% 163.03/162.88 ( 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))))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__one__le__iff__zero__less,axiom,
% 163.03/162.88 ! [V_z_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__iff__pred__less,axiom,
% 163.03/162.88 ! [V_l_2,V_k_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zless__le,axiom,
% 163.03/162.88 ! [V_w_2,V_z_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 163.03/162.88 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 163.03/162.88 & V_z_2 != V_w_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__add1__eq__le,axiom,
% 163.03/162.88 ! [V_z_2,V_w_2] :
% 163.03/162.88 ( 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))))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add1__zle__eq,axiom,
% 163.03/162.88 ! [V_z_2,V_w_2] :
% 163.03/162.88 ( 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))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_le__imp__0__less,axiom,
% 163.03/162.88 ! [V_z] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zless__imp__add1__zle,axiom,
% 163.03/162.88 ! [V_z,V_w] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 163.03/162.88 => 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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__zless__mono,axiom,
% 163.03/162.88 ! [V_z,V_z_H,V_w,V_w_H] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I41_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I40_J,axiom,
% 163.03/162.88 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WT_Oequations_I3_J,axiom,
% 163.03/162.88 ! [V_a1_2,V_a3_2,V_a2_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)))
% 163.03/162.88 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_WT_OLocal,axiom,
% 163.03/162.88 ! [V_a_2,V_Y_2,V_ca_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 163.03/162.88 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I37_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I36_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I43_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I42_J,axiom,
% 163.03/162.88 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I35_J,axiom,
% 163.03/162.88 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I34_J,axiom,
% 163.03/162.88 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I10_J,axiom,
% 163.03/162.88 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_com_Osimps_I11_J,axiom,
% 163.03/162.88 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 163.03/162.88
% 163.03/162.88 fof(fact_self__quotient__aux2,axiom,
% 163.03/162.88 ! [V_q,V_r,V_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.88 => ( 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))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_self__quotient__aux1,axiom,
% 163.03/162.88 ! [V_q,V_r,V_a] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.88 => ( 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))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_q__pos__lemma,axiom,
% 163.03/162.88 ! [V_r_H,V_q_H,V_b_H] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_q__neg__lemma,axiom,
% 163.03/162.88 ! [V_r_H,V_q_H,V_b_H] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_unique__quotient__lemma,axiom,
% 163.03/162.88 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zdiv__mono2__lemma,axiom,
% 163.03/162.88 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.03/162.88 ( 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)
% 163.03/162.88 => ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__is__id,axiom,
% 163.03/162.88 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__0__neq__1,axiom,
% 163.03/162.88 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 163.03/162.88 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.03/162.88 ( 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)
% 163.03/162.88 => ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_unique__quotient__lemma__neg,axiom,
% 163.03/162.88 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 163.03/162.88 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.03/162.88 ! [V_y,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 163.03/162.88 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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.03/162.88 ! [V_y,V_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.88 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.88 => 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))) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 163.03/162.88 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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_nat__number__of__diff__1,axiom,
% 163.03/162.88 ! [V_v] :
% 163.03/162.88 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.88 => 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) )
% 163.03/162.88 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.88 => 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)) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_of__nat__number__of__lemma,axiom,
% 163.03/162.88 ! [V_v,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => ( ( 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)))
% 163.03/162.88 => 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) )
% 163.03/162.88 & ( ~ 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)))
% 163.03/162.88 => 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) ) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_negative__zle,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_negative__zless,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 163.03/162.88 ! [V_A_2] :
% 163.03/162.88 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 163.03/162.88 <=> 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_of__nat__eq__iff,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2,T_a] :
% 163.03/162.88 ( class_Nat_Osemiring__char__0(T_a)
% 163.03/162.88 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)
% 163.03/162.88 <=> V_m_2 = V_n_2 ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Pls__def,axiom,
% 163.03/162.88 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_rel__simps_I19_J,axiom,
% 163.03/162.88 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_rel__simps_I2_J,axiom,
% 163.03/162.88 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__Pls,axiom,
% 163.03/162.88 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__Pls__right,axiom,
% 163.03/162.88 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.03/162.88
% 163.03/162.88 fof(fact_mult__Pls,axiom,
% 163.03/162.88 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 163.03/162.88
% 163.03/162.88 fof(fact_diff__bin__simps_I1_J,axiom,
% 163.03/162.88 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.03/162.88
% 163.03/162.88 fof(fact_minus__Pls,axiom,
% 163.03/162.88 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 163.03/162.88
% 163.03/162.88 fof(fact_inj__int,axiom,
% 163.03/162.88 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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 163.03/162.88 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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 163.03/162.88 ! [V_P_2] :
% 163.03/162.88 ( ! [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.88 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.88 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 163.03/162.88 ! [V_P_2] :
% 163.03/162.88 ( ? [B_x] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.88 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.88 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 163.03/162.88 ! [V_y_2,V_x_2] :
% 163.03/162.88 ( 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)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 163.03/162.88 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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__0,axiom,
% 163.03/162.88 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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__eq__0__conv,axiom,
% 163.03/162.88 ! [V_n_2] :
% 163.03/162.88 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.88 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zero__zle__int,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__less__0__conv,axiom,
% 163.03/162.88 ! [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))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zless__int,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__int,axiom,
% 163.03/162.88 ! [V_n_2,V_m_2] :
% 163.03/162.88 ( 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_n_2)))
% 163.03/162.88 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__int__left,axiom,
% 163.03/162.88 ! [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) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zadd__int,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zle__iff__zadd,axiom,
% 163.03/162.88 ! [V_z_2,V_w_2] :
% 163.03/162.88 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 163.03/162.88 <=> ? [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)) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zero__le__imp__of__nat,axiom,
% 163.03/162.88 ! [V_m,T_a] :
% 163.03/162.88 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_of__nat__0__le__iff,axiom,
% 163.03/162.88 ! [V_n,T_a] :
% 163.03/162.88 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.88 => 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_negative__eq__positive,axiom,
% 163.03/162.88 ! [V_m_2,V_n_2] :
% 163.03/162.88 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 163.03/162.88 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.88 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_of__nat__less__0__iff,axiom,
% 163.03/162.88 ! [V_m,T_a] :
% 163.03/162.88 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.88 => ~ 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))) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_number__of__Pls,axiom,
% 163.03/162.88 ! [T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_semiring__norm_I112_J,axiom,
% 163.03/162.88 ! [T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_not__int__zless__negative,axiom,
% 163.03/162.88 ! [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)))) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_zmult__int,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_int__mult,axiom,
% 163.03/162.88 ! [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)) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__numeral__0__right,axiom,
% 163.03/162.88 ! [V_a,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_add__numeral__0,axiom,
% 163.03/162.88 ! [V_a,T_a] :
% 163.03/162.88 ( class_Int_Onumber__ring(T_a)
% 163.03/162.88 => 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 ) ).
% 163.03/162.88
% 163.03/162.88 fof(fact_of__nat__0,axiom,
% 163.03/162.88 ! [T_a] :
% 163.03/162.88 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.88 => 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) ) ).
% 163.03/162.88
% 163.03/162.89 fof(fact_of__nat__less__iff,axiom,
% 163.03/162.89 ! [V_n_2,V_m_2,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__imp__of__nat__less,axiom,
% 163.03/162.89 ! [V_n,V_m,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__less__imp__less,axiom,
% 163.03/162.89 ! [V_n,V_m,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.89 => ( 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)))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__1,axiom,
% 163.03/162.89 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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__le__iff,axiom,
% 163.03/162.89 ! [V_n_2,V_m_2,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__add,axiom,
% 163.03/162.89 ! [V_n,V_m,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_bin__less__0__simps_I1_J,axiom,
% 163.03/162.89 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__number__of__Pls,axiom,
% 163.03/162.89 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_semiring__norm_I113_J,axiom,
% 163.03/162.89 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__mult,axiom,
% 163.03/162.89 ! [V_n,V_m,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zero__is__num__zero,axiom,
% 163.03/162.89 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__1,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Ints__of__nat,axiom,
% 163.03/162.89 ! [V_n_2,T_a] :
% 163.03/162.89 ( class_Rings_Oring__1(T_a)
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_inj__of__nat,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Nat_Osemiring__char__0(T_a)
% 163.03/162.89 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__le__0__conv,axiom,
% 163.03/162.89 ! [V_n_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__Suc0__eq__1,axiom,
% 163.03/162.89 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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zless__iff__Suc__zadd,axiom,
% 163.03/162.89 ! [V_z_2,V_w_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.03/162.89 <=> ? [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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__zle__neg,axiom,
% 163.03/162.89 ! [V_m_2,V_n_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 163.03/162.89 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.89 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__Suc,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_negative__zle__0,axiom,
% 163.03/162.89 ! [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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiff__int,axiom,
% 163.03/162.89 ! [V_m,V_n] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__Suc,axiom,
% 163.03/162.89 ! [V_m,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_divide__Numeral0,axiom,
% 163.03/162.89 ! [V_x,T_a] :
% 163.03/162.89 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.89 & class_Int_Onumber__ring(T_a) )
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__0__number__of,axiom,
% 163.03/162.89 ! [V_v_2] :
% 163.03/162.89 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__number__of__0,axiom,
% 163.03/162.89 ! [V_v_2] :
% 163.03/162.89 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__nat__number__of,axiom,
% 163.03/162.89 ! [V_v_H_2,V_v_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__diff,axiom,
% 163.03/162.89 ! [V_m,V_n,T_a] :
% 163.03/162.89 ( class_Rings_Oring__1(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_le__nat__number__of,axiom,
% 163.03/162.89 ! [V_v_H_2,V_v_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zero__less__int__conv,axiom,
% 163.03/162.89 ! [V_n_2] :
% 163.03/162.89 ( 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_n_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult__zless__mono2__lemma,axiom,
% 163.03/162.89 ! [V_k,V_j,V_i] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__zle__0__negative,axiom,
% 163.03/162.89 ! [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))))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_negative__zless__0,axiom,
% 163.03/162.89 ! [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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_le__special_I1_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_le__special_I3_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__special_I3_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__special_I1_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__0__less__iff,axiom,
% 163.03/162.89 ! [V_n_2,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__0__number__of,axiom,
% 163.03/162.89 ! [V_v_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__nat__number__of,axiom,
% 163.03/162.89 ! [V_v_H,V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.03/162.89 => 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)) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__number__of__mult__left,axiom,
% 163.03/162.89 ! [V_k,V_v_H,V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__nat__number__of,axiom,
% 163.03/162.89 ! [V_v_H,V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Suc__diff__number__of,axiom,
% 163.03/162.89 ! [V_m,V_v] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiff__int__split,axiom,
% 163.03/162.89 ! [V_y_2,V_x_2,V_P_2] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_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))))
% 163.03/162.89 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 163.03/162.89 => hBOOL(hAPP(V_P_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)))) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.03/162.89 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_number__of2,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__special_I1_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 163.03/162.89 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__special_I3_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__number__of__add__1,axiom,
% 163.03/162.89 ! [V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__1__add__number__of,axiom,
% 163.03/162.89 ! [V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__int__eq,axiom,
% 163.03/162.89 ! [V_n_2,V_m_2] :
% 163.03/162.89 ( 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_n_2)
% 163.03/162.89 <=> V_m_2 = V_n_2 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 163.03/162.89 ! [V_y_2,V_x_2] :
% 163.03/162.89 ( 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)
% 163.03/162.89 <=> V_x_2 = V_y_2 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 163.03/162.89 ! [V_B_2,V_A_2] :
% 163.03/162.89 ( V_A_2 = V_B_2
% 163.03/162.89 <=> 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 163.03/162.89 ! [V_A_2,V_x_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 163.03/162.89 <=> 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 163.03/162.89 ! [V_B_2,V_A_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.89 <=> 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 163.03/162.89 ! [V_B_2,V_A_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.89 <=> 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_infinite__UNIV__int,axiom,
% 163.03/162.89 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_iszero__0,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_iszero__def,axiom,
% 163.03/162.89 ! [V_z_2,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => ( c_Int_Oiszero(T_a,V_z_2)
% 163.03/162.89 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__iszero__1,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_succ__pred,axiom,
% 163.03/162.89 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 163.03/162.89
% 163.03/162.89 fof(fact_succ__def,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_iszero__Numeral0,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_number__of__succ,axiom,
% 163.03/162.89 ! [V_k,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__number__of__eq,axiom,
% 163.03/162.89 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 163.03/162.89 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Suc__nat__number__of__add,axiom,
% 163.03/162.89 ! [V_n,V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_setsum__bounded,axiom,
% 163.03/162.89 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.89 ( ( class_Groups_Oordered__ab__semigroup__add(T_b)
% 163.03/162.89 & class_Rings_Osemiring__1(T_b) )
% 163.03/162.89 => ( ! [B_i] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) )
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_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_a),V_A_2))),V_K_2))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nats__number__of,axiom,
% 163.03/162.89 ! [V_w_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_tsub__def,axiom,
% 163.03/162.89 ! [V_x,V_y] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.03/162.89 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.03/162.89 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_decr__mult__lemma,axiom,
% 163.03/162.89 ! [V_k_2,V_P_2,V_d_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.03/162.89 => ( ! [B_x] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.89 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ! [B_x] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.89 => hBOOL(hAPP(V_P_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)))) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__neg__0,axiom,
% 163.03/162.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__neg__int,axiom,
% 163.03/162.89 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__neg__1,axiom,
% 163.03/162.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__neg__eq__ge__0,axiom,
% 163.03/162.89 ! [V_x_2] :
% 163.03/162.89 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__def,axiom,
% 163.03/162.89 ! [V_Z_2] :
% 163.03/162.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__neg__number__of__Pls,axiom,
% 163.03/162.89 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__imp__number__of__eq__0,axiom,
% 163.03/162.89 ! [V_v] :
% 163.03/162.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nats__0,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__zminus__int,axiom,
% 163.03/162.89 ! [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))))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nats__add,axiom,
% 163.03/162.89 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nats__mult,axiom,
% 163.03/162.89 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nats__1,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__in__Nats,axiom,
% 163.03/162.89 ! [V_n_2,T_a] :
% 163.03/162.89 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__nat__number__of,axiom,
% 163.03/162.89 ! [V_v_H_2,V_v_2] :
% 163.03/162.89 ( 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)
% 163.03/162.89 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.03/162.89 => 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))) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.03/162.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.03/162.89 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.03/162.89 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__number__of__add__left,axiom,
% 163.03/162.89 ! [V_k,V_v_H,V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.89 => 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) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__nat__number__of,axiom,
% 163.03/162.89 ! [V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 163.03/162.89 ! [V_y,V_x] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__number__of__pred__iff__0,axiom,
% 163.03/162.89 ! [V_v_2] :
% 163.03/162.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 163.03/162.89 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_tsub__eq,axiom,
% 163.03/162.89 ! [V_x,V_y] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.03/162.89 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_of__nat__number__of__eq,axiom,
% 163.03/162.89 ! [V_v,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Suc__nat__number__of,axiom,
% 163.03/162.89 ! [V_v] :
% 163.03/162.89 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_negD,axiom,
% 163.03/162.89 ! [V_x] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ? [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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_incr__mult__lemma,axiom,
% 163.03/162.89 ! [V_k_2,V_P_2,V_d_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.03/162.89 => ( ! [B_x] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.89 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ! [B_x] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.89 => hBOOL(hAPP(V_P_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)))) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zero__less__imp__eq__int,axiom,
% 163.03/162.89 ! [V_k] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.03/162.89 => ? [B_n] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.03/162.89 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__special_I2_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 163.03/162.89 <=> c_Int_Oiszero(T_a,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_y_2)))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_eq__special_I4_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 163.03/162.89 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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))))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I51_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 163.03/162.89 <=> V_k_2 = V_l_2 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I34_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__eq__int__code_I16_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__int__code_I16_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I17_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I46_J,axiom,
% 163.03/162.89 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I39_J,axiom,
% 163.03/162.89 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_bin__less__0__simps_I4_J,axiom,
% 163.03/162.89 ! [V_w_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I22_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I12_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Bit1__def,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__number__of__Bit1,axiom,
% 163.03/162.89 ! [V_w_2] :
% 163.03/162.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 163.03/162.89 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_minus__Bit1,axiom,
% 163.03/162.89 ! [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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_iszero__number__of__Bit1,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Int_Oring__char__0(T_a) )
% 163.03/162.89 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_succ__Pls,axiom,
% 163.03/162.89 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_number__of__Bit1,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__numeral__1__right,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__numeral__1,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_semiring__norm_I110_J,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_numeral__1__eq__1,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I5_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I29_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_divide__Numeral1,axiom,
% 163.03/162.89 ! [V_x,T_a] :
% 163.03/162.89 ( ( class_Fields_Ofield(T_a)
% 163.03/162.89 & class_Int_Onumber__ring(T_a) )
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_divide__numeral__1,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( ( class_Fields_Ofield(T_a)
% 163.03/162.89 & class_Int_Onumber__ring(T_a) )
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_one__is__num__one,axiom,
% 163.03/162.89 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__numeral__1__eq__1,axiom,
% 163.03/162.89 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Numeral1__eq1__nat,axiom,
% 163.03/162.89 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_not__iszero__Numeral1,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_numeral__3__eq__3,axiom,
% 163.03/162.89 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)))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_numeral__1__eq__Suc__0,axiom,
% 163.03/162.89 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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 163.03/162.89 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))))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Suc3__eq__add__3,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 163.03/162.89 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)))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_le__special_I2_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_le__special_I4_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__special_I4_J,axiom,
% 163.03/162.89 ! [V_x_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__special_I2_J,axiom,
% 163.03/162.89 ! [V_y_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__special_I3_J,axiom,
% 163.03/162.89 ! [V_v,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__special_I2_J,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 163.03/162.89 ! [V_m,V_n] :
% 163.03/162.89 ( 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))
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__special_I1_J,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__special_I2_J,axiom,
% 163.03/162.89 ! [V_v,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_one__code__numeral__code,axiom,
% 163.03/162.89 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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__2__cases,axiom,
% 163.03/162.89 ! [V_n] :
% 163.03/162.89 ( 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)))))
% 163.03/162.89 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.89 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_decr__lemma,axiom,
% 163.03/162.89 ! [V_z,V_x,V_d] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_incr__lemma,axiom,
% 163.03/162.89 ! [V_x,V_z,V_d] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_half__gt__zero__iff,axiom,
% 163.03/162.89 ! [V_r_2,T_a] :
% 163.03/162.89 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.89 & class_Int_Onumber__ring(T_a) )
% 163.03/162.89 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__of__nat,axiom,
% 163.03/162.89 ! [V_n,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__eq__0,axiom,
% 163.03/162.89 ! [V_a_2,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__zero,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__add__abs,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__mult__self,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__mult,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__minus__commute,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__one,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_code__numeral__zero__minus__one,axiom,
% 163.03/162.89 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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I48_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 163.03/162.89 <=> V_k_2 = V_l_2 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__idempotent,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__minus__cancel,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__ge__self,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__le__D1,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__divide,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__eq__int__code_I13_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I31_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I14_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__int__code_I13_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__int__eq,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Bit0__Pls,axiom,
% 163.03/162.89 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I38_J,axiom,
% 163.03/162.89 ! [V_l_2] :
% 163.03/162.89 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 163.03/162.89 <=> c_Int_OPls = V_l_2 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I44_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 163.03/162.89 <=> V_k_2 = c_Int_OPls ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I49_J,axiom,
% 163.03/162.89 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I50_J,axiom,
% 163.03/162.89 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Bit0__def,axiom,
% 163.03/162.89 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__Bit0__Bit0,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__Bit0,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__bin__simps_I7_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_minus__Bit0,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__ge__zero,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__le__zero__iff,axiom,
% 163.03/162.89 ! [V_a_2,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__of__nonneg,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__not__less__zero,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ~ 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zero__less__abs__iff,axiom,
% 163.03/162.89 ! [V_a_2,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)))
% 163.03/162.89 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__of__pos,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__triangle__ineq,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__mult__less,axiom,
% 163.03/162.89 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__triangle__ineq3,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__triangle__ineq2,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__triangle__ineq2__sym,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__le__D2,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__leI,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 163.03/162.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__le__iff,axiom,
% 163.03/162.89 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 163.03/162.89 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__ge__minus__self,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__less__iff,axiom,
% 163.03/162.89 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 163.03/162.89 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nonzero__abs__divide,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Fields_Olinordered__field(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_bin__less__0__simps_I3_J,axiom,
% 163.03/162.89 ! [V_w_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I21_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I27_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__eq__int__code_I14_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I32_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I10_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I4_J,axiom,
% 163.03/162.89 ! [V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I16_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__int__code_I15_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__zmult__eq__1,axiom,
% 163.03/162.89 ! [V_n,V_m] :
% 163.03/162.89 ( 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)
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__Bit1__Bit0,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__Bit0__Bit1,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__bin__simps_I3_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__bin__simps_I9_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__bin__simps_I10_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__sgn__abs,axiom,
% 163.03/162.89 ! [V_x,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__sgn,axiom,
% 163.03/162.89 ! [V_k,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__number__of__Bit0,axiom,
% 163.03/162.89 ! [V_w_2] :
% 163.03/162.89 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 163.03/162.89 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pred__Bit0,axiom,
% 163.03/162.89 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pred__Bit1,axiom,
% 163.03/162.89 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_iszero__number__of__Bit0,axiom,
% 163.03/162.89 ! [V_w_2,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Int_Oring__char__0(T_a) )
% 163.03/162.89 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2)))
% 163.03/162.89 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_succ__Bit1,axiom,
% 163.03/162.89 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_succ__Bit0,axiom,
% 163.03/162.89 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__eq__mult,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Rings_Oordered__ring__abs(T_a)
% 163.03/162.89 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.03/162.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__mult__pos,axiom,
% 163.03/162.89 ! [V_y,V_x,T_a] :
% 163.03/162.89 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__diff__triangle__ineq,axiom,
% 163.03/162.89 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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))))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__triangle__ineq4,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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)))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__of__nonpos,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__minus__le__zero,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__of__neg,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__if,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Groups_Oabs__if(T_a)
% 163.03/162.89 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__div__pos,axiom,
% 163.03/162.89 ! [V_x,V_y,T_a] :
% 163.03/162.89 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_number__of__Bit0,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zabs__less__one__iff,axiom,
% 163.03/162.89 ! [V_z_2] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zabs__def,axiom,
% 163.03/162.89 ! [V_i] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I15_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__int__code_I14_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_rel__simps_I33_J,axiom,
% 163.03/162.89 ! [V_l_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_less__eq__int__code_I15_J,axiom,
% 163.03/162.89 ! [V_k2_2,V_k1_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_card__UNIV__bool,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__Bit1,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_diff__bin__simps_I8_J,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__Bit1__Bit1,axiom,
% 163.03/162.89 ! [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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zero__code__numeral__code,axiom,
% 163.03/162.89 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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_abs__number__of,axiom,
% 163.03/162.89 ! [V_x,T_a] :
% 163.03/162.89 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.89 => ( ( 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)))
% 163.03/162.89 => 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)) )
% 163.03/162.89 & ( ~ 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)))
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_double__number__of__Bit0,axiom,
% 163.03/162.89 ! [V_w,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_number__of1,axiom,
% 163.03/162.89 ! [V_n] :
% 163.03/162.89 ( 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)))
% 163.03/162.89 => ( 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))))
% 163.03/162.89 & 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)))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__2,axiom,
% 163.03/162.89 ! [V_z,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mult__2__right,axiom,
% 163.03/162.89 ! [V_z,T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_one__add__one__is__two,axiom,
% 163.03/162.89 ! [T_a] :
% 163.03/162.89 ( class_Int_Onumber__ring(T_a)
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_numeral__2__eq__2,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_semiring__norm_I115_J,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 163.03/162.89 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))))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__2__eq__Suc_H,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_add__2__eq__Suc,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__mult__2,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__mult__2__right,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 163.03/162.89 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)))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__1__add__1,axiom,
% 163.03/162.89 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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_half__gt__zero,axiom,
% 163.03/162.89 ! [V_r,T_a] :
% 163.03/162.89 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.03/162.89 & class_Int_Onumber__ring(T_a) )
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 163.03/162.89 => 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)))))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__number__of__Bit1,axiom,
% 163.03/162.89 ! [V_v,V_w] :
% 163.03/162.89 ( ( 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)))
% 163.03/162.89 => 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)) )
% 163.03/162.89 & ( ~ 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)))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__zmod__mult__2,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__zmod__mult__2,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__zdiv__mult__2,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__zdiv__mult__2,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__self,axiom,
% 163.03/162.89 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zero,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__self,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__by__0,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__0,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zdiv__trivial,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__div__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_DIVISION__BY__ZERO,axiom,
% 163.03/162.89 ! [V_a] :
% 163.03/162.89 ( 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)
% 163.03/162.89 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mod__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mod__equality,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mod__equality2,axiom,
% 163.03/162.89 ! [V_c,V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__div__equality,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__div__equality2,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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 ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult__div__cancel,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zdiv__equality_H,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zdiv__equality,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zmult1__eq,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zmod__equality,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zmod__equality2,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zadd1__eq,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__minus__cong,axiom,
% 163.03/162.89 ! [V_a_H,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__minus__eq,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__diff__cong,axiom,
% 163.03/162.89 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__diff__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__diff__left__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__diff__right__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Oring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__right__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__left__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__mult1,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__mult2,axiom,
% 163.03/162.89 ! [V_b,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__simps_I4_J,axiom,
% 163.03/162.89 ! [V_b,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__cong,axiom,
% 163.03/162.89 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__cong,axiom,
% 163.03/162.89 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.03/162.89 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__simps_I1_J,axiom,
% 163.03/162.89 ! [V_b,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__simps_I2_J,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__left__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__right__eq,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__self1,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__add__self2,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zero,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zminus__zminus,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zminus2,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__simps_I3_J,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zmult1__eq,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiff__zmod__right,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiff__zmod__left,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zminus__zmod,axiom,
% 163.03/162.89 ! [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) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus__zminus,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus2,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__0,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__by__0,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__by__1,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__self2__is__0,axiom,
% 163.03/162.89 ! [V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__self1__is__0,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zmult2__eq,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__self2,axiom,
% 163.03/162.89 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__mult__self1,axiom,
% 163.03/162.89 ! [V_b,V_c,V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__by__1,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zminus1__eq__if,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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)) )
% 163.03/162.89 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zminus2__eq__if,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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)) )
% 163.03/162.89 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.03/162.89 ! [V_y,V_x] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 163.03/162.89 ! [V_a_2,V_b_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 163.03/162.89 ! [V_a_2,V_b_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__neg__pos__less0,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__self,axiom,
% 163.03/162.89 ! [V_a] :
% 163.03/162.89 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__le__nonneg__dividend,axiom,
% 163.03/162.89 ! [V_k,V_m] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.03/162.89 ! [V_y,V_x] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__mod__bound,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => 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)) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__mod__bound,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__number__of__Bit0,axiom,
% 163.03/162.89 ! [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)) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__eq__0__iff,axiom,
% 163.03/162.89 ! [V_d_2,V_m_2] :
% 163.03/162.89 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus1__not__zero,axiom,
% 163.03/162.89 ! [V_l,V_k] :
% 163.03/162.89 ( 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)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus2__not__zero,axiom,
% 163.03/162.89 ! [V_l,V_k] :
% 163.03/162.89 ( 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)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__mult1__if,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__self2__is__id,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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 ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__self1__is__id,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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 ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__mult2,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__mult1,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__self,axiom,
% 163.03/162.89 ! [V_a,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_split__neg__lemma,axiom,
% 163.03/162.89 ! [V_n_2,V_P_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 163.03/162.89 <=> ! [B_i,B_j] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_split__pos__lemma,axiom,
% 163.03/162.89 ! [V_n_2,V_P_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 163.03/162.89 <=> ! [B_i,B_j] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__mono1__neg,axiom,
% 163.03/162.89 ! [V_b,V_a_H,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__mono1,axiom,
% 163.03/162.89 ! [V_b,V_a_H,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__neg__neg__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__mono2__neg,axiom,
% 163.03/162.89 ! [V_b,V_b_H,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__nonpos__pos__le0,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 163.03/162.89 ! [V_a_2,V_b_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__pos__pos__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__nonneg__neg__le0,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__mono2,axiom,
% 163.03/162.89 ! [V_b,V_b_H,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 163.03/162.89 ! [V_b_2,V_a_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 163.03/162.89 ! [V_i_2,V_k_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 163.03/162.89 ! [V_a_2,V_b_2] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__eq__0__iff,axiom,
% 163.03/162.89 ! [V_k_2,V_i_2] :
% 163.03/162.89 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 163.03/162.89 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_int__div__less__self,axiom,
% 163.03/162.89 ! [V_k,V_x] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__zmult2__eq,axiom,
% 163.03/162.89 ! [V_b,V_a,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => 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) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__neg__neg__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.03/162.89 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__mod__conj,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 & 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))) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_neg__mod__sign,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__pos__pos__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.89 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__mod__conj,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 & 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_pos__mod__sign,axiom,
% 163.03/162.89 ! [V_a,V_b] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.89 => 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))) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus2__eq__if,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__zminus1__eq__if,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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) )
% 163.03/162.89 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__self2,axiom,
% 163.03/162.89 ! [V_c,V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__mult__self1,axiom,
% 163.03/162.89 ! [V_c,V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__add__self2,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_div__add__self1,axiom,
% 163.03/162.89 ! [V_a,V_b,T_a] :
% 163.03/162.89 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_mod__pos__neg__trivial,axiom,
% 163.03/162.89 ! [V_b,V_a] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.89 => ( 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)))
% 163.03/162.89 => 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) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_divmod__int__rel__div__eq,axiom,
% 163.03/162.89 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 163.03/162.89 ( 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)
% 163.03/162.89 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.03/162.89 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_split__zdiv,axiom,
% 163.03/162.89 ! [V_k_2,V_n_2,V_P_2] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 163.03/162.89 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ! [B_i] :
% 163.03/162.89 ( ? [B_j] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ! [B_i] :
% 163.03/162.89 ( ? [B_j] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_divmod__int__rel__mod__eq,axiom,
% 163.03/162.89 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 163.03/162.89 ( 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)
% 163.03/162.89 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.03/162.89 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult2__lemma__aux2,axiom,
% 163.03/162.89 ! [V_q,V_r,V_b,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult2__lemma__aux1,axiom,
% 163.03/162.89 ! [V_q,V_r,V_b,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult2__lemma__aux4,axiom,
% 163.03/162.89 ! [V_q,V_b,V_r,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmult2__lemma__aux3,axiom,
% 163.03/162.89 ! [V_q,V_b,V_r,V_c] :
% 163.03/162.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.03/162.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.03/162.89 => 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))) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_split__zmod,axiom,
% 163.03/162.89 ! [V_k_2,V_n_2,V_P_2] :
% 163.03/162.89 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 163.03/162.89 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.89 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.03/162.89 => ! [B_i,B_j] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 163.03/162.89 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 => ! [B_i,B_j] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.03/162.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.89 & V_n_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) )
% 163.03/162.89 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zmod__number__of__Bit0,axiom,
% 163.03/162.89 ! [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))) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_zdiv__number__of__Bit1,axiom,
% 163.03/162.89 ! [V_v,V_w] :
% 163.03/162.89 ( ( 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)))
% 163.03/162.89 => 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)) )
% 163.03/162.89 & ( ~ 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)))
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_nat__of__aux__code,axiom,
% 163.03/162.89 ! [V_n,V_i] :
% 163.03/162.89 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.89 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 163.03/162.89 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.89 => 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)) ) ) ).
% 163.03/162.89
% 163.03/162.89 fof(fact_z3div__def,axiom,
% 163.03/162.89 ! [V_k,V_l] :
% 163.03/162.89 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.89 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 163.03/162.89 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.89 => 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))) ) ) ).
% 163.03/162.89
% 163.03/162.90 fof(fact_z3mod__def,axiom,
% 163.03/162.90 ! [V_k,V_l] :
% 163.03/162.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.90 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__nat__double,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__minus1__odd,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__mult2__eq,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__less,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__power__eq,axiom,
% 163.03/162.90 ! [V_n,V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 163.03/162.90 ! [V_n,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__mult2__eq,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__mult1__eq,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__mod__equality_H,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mult__div__cancel,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Omod__div__equality_H,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__add1__eq,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__le__mono,axiom,
% 163.03/162.90 ! [V_k,V_n,V_m] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__le__dividend,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__less__eq__dividend,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__mult__distrib,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__mult__distrib2,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__int,axiom,
% 163.03/162.90 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 163.03/162.90 ! [V_q,V_p,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zpower__zpower,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 163.03/162.90 ! [V_q,V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__power,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zpower__int,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zpower__zmod,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__nat__number__of,axiom,
% 163.03/162.90 ! [V_n,V_v] :
% 163.03/162.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__nat__number__of__number__of,axiom,
% 163.03/162.90 ! [V_w,V_v] :
% 163.03/162.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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)) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__div__distrib,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mod__distrib,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__1,axiom,
% 163.03/162.90 ! [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 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__less,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mult__div__cancel__disj,axiom,
% 163.03/162.90 ! [V_n,V_m,V_k] :
% 163.03/162.90 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 163.03/162.90 ! [V_q,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 163.03/162.90 ! [V_q,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 163.03/162.90 ! [V_q,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 163.03/162.90 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__0,axiom,
% 163.03/162.90 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__1,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__Suc,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 163.03/162.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.90 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__less__divisor,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 163.03/162.90 ! [V_q,V_p,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.03/162.90 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 163.03/162.90 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_all__nat,axiom,
% 163.03/162.90 ! [V_P_2] :
% 163.03/162.90 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.90 <=> ! [B_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.90 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ex__nat,axiom,
% 163.03/162.90 ! [V_P_2] :
% 163.03/162.90 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.90 <=> ? [B_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.90 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_eq__nat__nat__iff,axiom,
% 163.03/162.90 ! [V_z_H_2,V_z_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 163.03/162.90 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 163.03/162.90 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__eq__0__iff,axiom,
% 163.03/162.90 ! [V_d_2,V_m_2] :
% 163.03/162.90 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 163.03/162.90 ! [V_n,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__if,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__geq,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__mult__self3,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_le__mod__geq,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zdiv__int,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__number__of,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__number__of__def,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zpower__zadd__distrib,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 163.03/162.90 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zmod__int,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_neg__nat,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.03/162.90 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_not__neg__nat,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.03/162.90 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Ints__power,axiom,
% 163.03/162.90 ! [V_n_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 163.03/162.90 ! [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 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__nat__number__of,axiom,
% 163.03/162.90 ! [V_v_H,V_v] :
% 163.03/162.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__nat__number__of,axiom,
% 163.03/162.90 ! [V_v_H,V_v] :
% 163.03/162.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.03/162.90 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.90 => 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))) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__div__nat__number__of,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.03/162.90 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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__le__mono2,axiom,
% 163.03/162.90 ! [V_k,V_n,V_m] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mult__div__cancel1,axiom,
% 163.03/162.90 ! [V_n,V_m,V_k] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__mult__self1__is__m,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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 ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__mult__self__is__m,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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 ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__less__dividend,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__0__iff,axiom,
% 163.03/162.90 ! [V_i_2] :
% 163.03/162.90 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__le__0,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.90 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zless__nat__conj,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2] :
% 163.03/162.90 ( 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)))
% 163.03/162.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mono__iff,axiom,
% 163.03/162.90 ! [V_w_2,V_z_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__le__divisor,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__1,axiom,
% 163.03/162.90 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__mult__self4,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__nat__eq,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => 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) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__eq__iff,axiom,
% 163.03/162.90 ! [V_z_2,V_m_2] :
% 163.03/162.90 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 163.03/162.90 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__0__le,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zless__nat__eq__int__zless,axiom,
% 163.03/162.90 ! [V_z_2,V_m_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 163.03/162.90 <=> 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__zminus__int,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__le__zpower__abs,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__abs__mult__distrib,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__mod__nat__number__of,axiom,
% 163.03/162.90 ! [V_v_H] :
% 163.03/162.90 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.90 => 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)) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__geq,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__if,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.90 => 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)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_split__div,axiom,
% 163.03/162.90 ! [V_k_2,V_n_2,V_P_2] :
% 163.03/162.90 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.03/162.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.03/162.90 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => ! [B_i,B_j] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.03/162.90 => ( V_n_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)
% 163.03/162.90 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__less__nat__eq,axiom,
% 163.03/162.90 ! [V_z_2] :
% 163.03/162.90 ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__less__eq__zless,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__eq__iff,axiom,
% 163.03/162.90 ! [V_m_2,V_w_2] :
% 163.03/162.90 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 163.03/162.90 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__eq__iff2,axiom,
% 163.03/162.90 ! [V_w_2,V_m_2] :
% 163.03/162.90 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 163.03/162.90 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__le__eq__zle,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2] :
% 163.03/162.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 163.03/162.90 => ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_split__nat,axiom,
% 163.03/162.90 ! [V_i_2,V_P_2] :
% 163.03/162.90 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 163.03/162.90 <=> ( ! [B_n] :
% 163.03/162.90 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 163.03/162.90 => hBOOL(hAPP(V_P_2,B_n)) )
% 163.03/162.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.90 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__lemma,axiom,
% 163.03/162.90 ! [V_q,V_b,V_r,V_c] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_split__mod,axiom,
% 163.03/162.90 ! [V_k_2,V_n_2,V_P_2] :
% 163.03/162.90 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 163.03/162.90 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 163.03/162.90 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => ! [B_i,B_j] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.03/162.90 => ( V_n_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)
% 163.03/162.90 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__add__distrib,axiom,
% 163.03/162.90 ! [V_z_H,V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power3__eq__cube,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__eq__iff__number__of,axiom,
% 163.03/162.90 ! [V_v_2,V_m_2] :
% 163.03/162.90 ( 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)
% 163.03/162.90 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 163.03/162.90 & 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mult__distrib,axiom,
% 163.03/162.90 ! [V_z_H,V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__diff__distrib,axiom,
% 163.03/162.90 ! [V_z,V_z_H] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__times__mod__eq,axiom,
% 163.03/162.90 ! [V_m,V_k] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 163.03/162.90 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)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__eq__if,axiom,
% 163.03/162.90 ! [V_p,V_m] :
% 163.03/162.90 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.03/162.90 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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)))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__less__zpower__abs__iff,axiom,
% 163.03/162.90 ! [V_n_2,V_x_2] :
% 163.03/162.90 ( 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_n_2)))
% 163.03/162.90 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.90 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_le__div__geq,axiom,
% 163.03/162.90 ! [V_m,V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_split__div_H,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2,V_P_2] :
% 163.03/162.90 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.03/162.90 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.03/162.90 | ? [B_q] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 163.03/162.90 & 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_n_2),hAPP(c_Nat_OSuc,B_q))))
% 163.03/162.90 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_split__div__lemma,axiom,
% 163.03/162.90 ! [V_m_2,V_q_2,V_n_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.03/162.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 163.03/162.90 & 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_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 163.03/162.90 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__div__eq__add3__div,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__Suc__eq__div__add3,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div2__Suc__Suc,axiom,
% 163.03/162.90 ! [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))))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_add__self__div__2,axiom,
% 163.03/162.90 ! [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 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__less__nat__eq,axiom,
% 163.03/162.90 ! [V_z_2] :
% 163.03/162.90 ( 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)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__less__iff,axiom,
% 163.03/162.90 ! [V_m_2,V_w_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 163.03/162.90 <=> 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 163.03/162.90 ! [V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__eq__power2,axiom,
% 163.03/162.90 ! [V_a_2,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 163.03/162.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 163.03/162.90 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__power2,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__eq__square,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod2__Suc__Suc,axiom,
% 163.03/162.90 ! [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)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__power2,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 163.03/162.90 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)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__minus,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__mult__distrib__neg,axiom,
% 163.03/162.90 ! [V_z_H,V_z] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__even__eq,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__abs,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_abs__power2,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__eq__imp__eq,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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))))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.03/162.90 => V_x = V_y ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__le__imp__le,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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))))))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__le__power2,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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)))))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__less__power2,axiom,
% 163.03/162.90 ! [V_a_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 163.03/162.90 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__less__0,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ~ 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_sum__power2__eq__zero__iff,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)
% 163.03/162.90 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__2,axiom,
% 163.03/162.90 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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__eq__square__number__of,axiom,
% 163.03/162.90 ! [V_w,T_b] :
% 163.03/162.90 ( ( class_Groups_Omonoid__mult(T_b)
% 163.03/162.90 & class_Int_Onumber(T_b) )
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__eq__1__iff,axiom,
% 163.03/162.90 ! [V_a_2,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 163.03/162.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 163.03/162.90 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a)
% 163.03/162.90 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 163.03/162.90 ! [V_n,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__minus__even,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__2__gt__zero,axiom,
% 163.03/162.90 ! [V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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)))))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__less__imp__less,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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))))))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_sum__power2__le__zero__iff,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)))
% 163.03/162.90 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_sum__power2__ge__zero,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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))))))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_sum__power2__gt__zero__iff,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( 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),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 163.03/162.90 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_not__sum__power2__lt__zero,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ~ 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__sum,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__le__even__power_H,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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)))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__odd__eq,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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))))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 163.03/162.90 ! [V_n,V_x,T_a] :
% 163.03/162.90 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mod2__gr__0,axiom,
% 163.03/162.90 ! [V_m_2] :
% 163.03/162.90 ( 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))))))
% 163.03/162.90 <=> 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__minus1__even,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__power__div__base,axiom,
% 163.03/162.90 ! [V_k,V_m] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.03/162.90 => 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)))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 163.03/162.90 ! [V_n] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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)))))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power2__diff,axiom,
% 163.03/162.90 ! [V_y,V_x,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( 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)))))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_odd__power__less__zero,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__of__code,axiom,
% 163.03/162.90 ! [V_k] :
% 163.03/162.90 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.90 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.90 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.90 => ( ( 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)
% 163.03/162.90 => 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)))))) )
% 163.03/162.90 & ( 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)
% 163.03/162.90 => 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)) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__strict__mono,axiom,
% 163.03/162.90 ! [V_n,V_b,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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))) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__diff,axiom,
% 163.03/162.90 ! [V_m,V_n,V_a,T_a] :
% 163.03/162.90 ( class_Fields_Ofield(T_a)
% 163.03/162.90 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.90 => 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)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__less__power,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__increasing__iff,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_field__power__not__zero,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 163.03/162.90 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 163.03/162.90 ! [V_m_2,V_x_2] :
% 163.03/162.90 ( 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))
% 163.03/162.90 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__Suc__0,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__zero__less__power__iff,axiom,
% 163.03/162.90 ! [V_n_2,V_x_2] :
% 163.03/162.90 ( 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_n_2)))
% 163.03/162.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 163.03/162.90 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__power__less__imp__less,axiom,
% 163.03/162.90 ! [V_n,V_m,V_i] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__mult__distrib,axiom,
% 163.03/162.90 ! [V_n,V_b,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__commutes,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__one,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__nat__power,axiom,
% 163.03/162.90 ! [V_n,V_m,T_a] :
% 163.03/162.90 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__mult,axiom,
% 163.03/162.90 ! [V_n,V_m,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__divide,axiom,
% 163.03/162.90 ! [V_n,V_b,V_a,T_a] :
% 163.03/162.90 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__abs,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__one__right,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__le__power,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__mono,axiom,
% 163.03/162.90 ! [V_n,V_b,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__less__power,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__eq__0__iff,axiom,
% 163.03/162.90 ! [V_n_2,V_a_2,T_a] :
% 163.03/162.90 ( ( class_Power_Opower(T_a)
% 163.03/162.90 & class_Rings_Omult__zero(T_a)
% 163.03/162.90 & class_Rings_Ono__zero__divisors(T_a)
% 163.03/162.90 & class_Rings_Ozero__neq__one(T_a) )
% 163.03/162.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_one__le__power,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__0__Suc,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( ( class_Power_Opower(T_a)
% 163.03/162.90 & class_Rings_Osemiring__0(T_a) )
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__inject__exp,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2))
% 163.03/162.90 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 163.03/162.90 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__Suc,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Power_Opower(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__Suc2,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__one__le__power,axiom,
% 163.03/162.90 ! [V_n,V_i] :
% 163.03/162.90 ( 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))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__0,axiom,
% 163.03/162.90 ! [V_a,T_a] :
% 163.03/162.90 ( class_Power_Opower(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__add,axiom,
% 163.03/162.90 ! [V_n,V_m,V_a,T_a] :
% 163.03/162.90 ( class_Groups_Omonoid__mult(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nonzero__power__divide,axiom,
% 163.03/162.90 ! [V_n,V_a,V_b,T_a] :
% 163.03/162.90 ( class_Fields_Ofield(T_a)
% 163.03/162.90 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__one__over,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_abs__power__minus,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__less__imp__less__base,axiom,
% 163.03/162.90 ! [V_b,V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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)))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__inject__base,axiom,
% 163.03/162.90 ! [V_b,V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.03/162.90 => V_a = V_b ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__le__imp__le__base,axiom,
% 163.03/162.90 ! [V_b,V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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))))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__gt1__lemma,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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)))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__less__power__Suc,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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)))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__0__left,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( ( class_Power_Opower(T_a)
% 163.03/162.90 & class_Rings_Osemiring__0(T_a) )
% 163.03/162.90 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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) )
% 163.03/162.90 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__gt1,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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)))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__strict__increasing__iff,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__less__imp__less__exp,axiom,
% 163.03/162.90 ! [V_n,V_m,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__strict__increasing,axiom,
% 163.03/162.90 ! [V_a,V_N,V_n,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zero__le__power__abs,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__increasing,axiom,
% 163.03/162.90 ! [V_a,V_N,V_n,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__minus,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__Suc__less,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__eq__imp__eq__base,axiom,
% 163.03/162.90 ! [V_b,V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( 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)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.90 => V_a = V_b ) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__Suc__less__one,axiom,
% 163.03/162.90 ! [V_n,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.90 => 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__strict__decreasing,axiom,
% 163.03/162.90 ! [V_a,V_N,V_n,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.90 => 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))) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__decreasing,axiom,
% 163.03/162.90 ! [V_a,V_N,V_n,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.03/162.90 => 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))) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__le__imp__le__exp,axiom,
% 163.03/162.90 ! [V_n,V_m,V_a,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__semidom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__aux__def,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__morphism__nat__int,axiom,
% 163.03/162.90 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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 163.03/162.90 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => 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)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nat__set__def,axiom,
% 163.03/162.90 ! [V_S_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_S_2)
% 163.03/162.90 <=> ! [B_x] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => ( V_A_2 = V_B_2
% 163.03/162.90 <=> 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) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 163.03/162.90 ! [V_x_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 163.03/162.90 ! [V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => 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 ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 163.03/162.90 ! [V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 163.03/162.90 <=> 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))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 163.03/162.90 ! [V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.90 <=> 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.90 <=> 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__Pow,axiom,
% 163.03/162.90 ! [V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.90 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),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_a),V_A_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__power__power,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Power_Opower(T_a)
% 163.03/162.90 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__m1__odd,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power__m1__even,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_PowI,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I42_J,axiom,
% 163.03/162.90 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I45_J,axiom,
% 163.03/162.90 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Bit1__Min,axiom,
% 163.03/162.90 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I43_J,axiom,
% 163.03/162.90 ! [V_l_2] :
% 163.03/162.90 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 163.03/162.90 <=> c_Int_OMin = V_l_2 ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I47_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 163.03/162.90 <=> V_k_2 = c_Int_OMin ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I40_J,axiom,
% 163.03/162.90 c_Int_OMin != c_Int_OPls ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I37_J,axiom,
% 163.03/162.90 c_Int_OPls != c_Int_OMin ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I7_J,axiom,
% 163.03/162.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I24_J,axiom,
% 163.03/162.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Cantors__paradox,axiom,
% 163.03/162.90 ! [V_A_2,T_a] :
% 163.03/162.90 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__Pow__surj,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 163.03/162.90 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2
% 163.03/162.90 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__top,axiom,
% 163.03/162.90 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Union__Pow__eq,axiom,
% 163.03/162.90 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__not__empty,axiom,
% 163.03/162.90 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_bin__less__0__simps_I2_J,axiom,
% 163.03/162.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I20_J,axiom,
% 163.03/162.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I23_J,axiom,
% 163.03/162.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I26_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I30_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I6_J,axiom,
% 163.03/162.90 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I3_J,axiom,
% 163.03/162.90 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I13_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I9_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I28_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I8_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_eq__number__of__Pls__Min,axiom,
% 163.03/162.90 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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Int_OMin__def,axiom,
% 163.03/162.90 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mult__Min,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_neg__number__of__Min,axiom,
% 163.03/162.90 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_pred__Pls,axiom,
% 163.03/162.90 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 163.03/162.90
% 163.03/162.90 fof(fact_add__Min__right,axiom,
% 163.03/162.90 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_add__Min,axiom,
% 163.03/162.90 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_pred__Min,axiom,
% 163.03/162.90 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_nonzero__number__of__Min,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_succ__Min,axiom,
% 163.03/162.90 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 163.03/162.90
% 163.03/162.90 fof(fact_diff__bin__simps_I2_J,axiom,
% 163.03/162.90 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__bottom,axiom,
% 163.03/162.90 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__iff,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_PowD,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__mono,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__Pow__iff,axiom,
% 163.03/162.90 ! [V_A_2,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)))
% 163.03/162.90 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mult__minus1__right,axiom,
% 163.03/162.90 ! [V_z,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_mult__minus1,axiom,
% 163.03/162.90 ! [V_z,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_subset__Pow__Union,axiom,
% 163.03/162.90 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_arith__simps_I31_J,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_number__of__Min,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_abs__minus__one,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_divide__minus1,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.90 & class_Int_Onumber__ring(T_a) )
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I11_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_rel__simps_I25_J,axiom,
% 163.03/162.90 ! [V_k_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zmod__minus1__right,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_diff__bin__simps_I4_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_minus__Min,axiom,
% 163.03/162.90 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zmult__eq__1__iff,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2] :
% 163.03/162.90 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.90 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.90 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.03/162.90 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 163.03/162.90 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 163.03/162.90 ! [V_n,V_m] :
% 163.03/162.90 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.90 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.03/162.90 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_diff__bin__simps_I5_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_diff__bin__simps_I6_J,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power_Opower_Opower__0,axiom,
% 163.03/162.90 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_power_Opower_Opower__Suc,axiom,
% 163.03/162.90 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__insert,axiom,
% 163.03/162.90 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__UNIV,axiom,
% 163.03/162.90 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zdiv__minus1__right,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__Int__eq,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__Pow__mono,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2))
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_minus1__divide,axiom,
% 163.03/162.90 ! [V_x,T_a] :
% 163.03/162.90 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.03/162.90 & class_Int_Onumber__ring(T_a) )
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_abs__power__minus__one,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 & class_Rings_Olinordered__idom(T_a) )
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__eq__minus1,axiom,
% 163.03/162.90 ! [V_b] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Pow__empty,axiom,
% 163.03/162.90 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Un__Pow__subset,axiom,
% 163.03/162.90 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_div__pos__neg__trivial,axiom,
% 163.03/162.90 ! [V_b,V_a] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.90 => ( 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)))
% 163.03/162.90 => 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) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_zmod__minus1,axiom,
% 163.03/162.90 ! [V_b] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 163.03/162.90 ! [V_A_2,V_x_2] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.03/162.90 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.03/162.90 <=> 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))) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osize_I1_J,axiom,
% 163.03/162.90 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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__greaterThanLessThan__int,axiom,
% 163.03/162.90 ! [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)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__of__nat,axiom,
% 163.03/162.90 ! [V_k,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.90 => 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)))) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.90 => 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)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__greaterThanLessThan__int,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_number__of__eq,axiom,
% 163.03/162.90 ! [V_k,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_int__number__of__def,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__int__eq,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__eq__iff,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2,T_a] :
% 163.03/162.90 ( class_Int_Oring__char__0(T_a)
% 163.03/162.90 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 163.03/162.90 <=> V_w_2 = V_z_2 ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 163.03/162.90 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 163.03/162.90 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 163.03/162.90 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 163.03/162.90 ! [V_n,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 163.03/162.90 ! [V_y,V_x] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__0,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__0__eq__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Int_Oring__char__0(T_a)
% 163.03/162.90 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 163.03/162.90 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__eq__0__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Int_Oring__char__0(T_a)
% 163.03/162.90 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__le__iff,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__less__iff,axiom,
% 163.03/162.90 ! [V_z_2,V_w_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__add,axiom,
% 163.03/162.90 ! [V_z,V_w,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__number__of__eq,axiom,
% 163.03/162.90 ! [V_v,T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__mult,axiom,
% 163.03/162.90 ! [V_z,V_w,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__1,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__diff,axiom,
% 163.03/162.90 ! [V_z,V_w,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__of__nat__eq,axiom,
% 163.03/162.90 ! [V_n,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__minus,axiom,
% 163.03/162.90 ! [V_z,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Ints__of__int,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__power,axiom,
% 163.03/162.90 ! [V_n,V_z,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_is__nat__def,axiom,
% 163.03/162.90 ! [V_x_2] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_greaterThanLessThan__empty,axiom,
% 163.03/162.90 ! [V_k_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 163.03/162.90 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.90 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.90 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 163.03/162.90 ! [V_x_2,V_A_2] :
% 163.03/162.90 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.03/162.90 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__m1,axiom,
% 163.03/162.90 ! [T_a] :
% 163.03/162.90 ( class_Int_Onumber__ring(T_a)
% 163.03/162.90 => 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) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 163.03/162.90 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__le__0__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__0__le__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__less__0__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__int__0__less__iff,axiom,
% 163.03/162.90 ! [V_z_2,T_a] :
% 163.03/162.90 ( class_Rings_Olinordered__idom(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 163.03/162.90 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_of__nat__nat,axiom,
% 163.03/162.90 ! [V_z,T_a] :
% 163.03/162.90 ( class_Rings_Oring__1(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.03/162.90 => 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) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 163.03/162.90 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osize_I2_J,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I4_J,axiom,
% 163.03/162.90 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 163.03/162.90 ! [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)))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osize_I3_J,axiom,
% 163.03/162.90 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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__greaterThanAtMost,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__greaterThanLessThan,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__greaterThanAtMost__int,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Oinject,axiom,
% 163.03/162.90 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 163.03/162.90 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 163.03/162.90 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 163.03/162.90 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_greaterThanAtMost__empty,axiom,
% 163.03/162.90 ! [V_k_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 163.03/162.90 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 163.03/162.90 ! [V_l_2,V_k_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 163.03/162.90 ! [V_l_2,V_k_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2)
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I20_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I14_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__greaterThanAtMost,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_code__numeral_Osize_I4_J,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I10_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Suc__code__numeral__minus__one,axiom,
% 163.03/162.90 ! [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 ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__greaterThanLessThan,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__greaterThanAtMost__int,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I16_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I19_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I3_J,axiom,
% 163.03/162.90 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I5_J,axiom,
% 163.03/162.90 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__atLeastLessThan,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__atLeastAtMost,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__atLeastAtMost__int,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__atLeastLessThan__int,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I15_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I21_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__eq__iff,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 163.03/162.90 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 163.03/162.90 <=> ( V_a_2 = V_ca_2
% 163.03/162.90 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 163.03/162.90 => V_a_2 = V_ca_2 ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 163.03/162.90 => V_b_2 = V_d_2 ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__Suc__atLeastAtMost,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__Suc__atLeastLessThan,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_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_n_2))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__add__nat__ivl,axiom,
% 163.03/162.90 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.03/162.90 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__diff__nat__ivl,axiom,
% 163.03/162.90 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 163.03/162.90 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.03/162.90 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 163.03/162.90 ! [V_k_2,V_f_2] :
% 163.03/162.90 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.90 => 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)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 163.03/162.90 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 163.03/162.90 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_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_n_2))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastAtMostSuc__conv,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.03/162.90 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan0,axiom,
% 163.03/162.90 ! [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)) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__singleton,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I6_J,axiom,
% 163.03/162.90 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__atLeastLessThan,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2] :
% 163.03/162.90 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.03/162.90 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I18_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastatMost__empty__iff,axiom,
% 163.03/162.90 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastatMost__empty__iff2,axiom,
% 163.03/162.90 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastatMost__empty,axiom,
% 163.03/162.90 ! [V_a_2,V_b_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2))
% 163.03/162.90 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastatMost__subset__iff,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 163.03/162.90 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 163.03/162.90 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__empty,axiom,
% 163.03/162.90 ! [V_a_2,V_b_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 163.03/162.90 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastAtMost__singleton,axiom,
% 163.03/162.90 ! [V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 163.03/162.90 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.90 <=> ( V_a_2 = V_b_2
% 163.03/162.90 & V_b_2 = V_ca_2 ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastAtMost__singleton_H,axiom,
% 163.03/162.90 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( V_a_2 = V_b_2
% 163.03/162.90 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 163.03/162.90 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__empty__iff,axiom,
% 163.03/162.90 ! [V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.90 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__subset__iff,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 163.03/162.90 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I17_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_image__uminus__atLeastAtMost,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.90 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.90 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__diff,axiom,
% 163.03/162.90 ! [V_m_2,V_n_2,V_i_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2))
% 163.03/162.90 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I11_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 163.03/162.90 ! [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))) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 163.03/162.90 ! [V_k_2,V_f_2,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.90 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__head__upt__Suc,axiom,
% 163.03/162.90 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__head__Suc,axiom,
% 163.03/162.90 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 163.03/162.90 ! [V_y_2,V_x_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.03/162.90 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThanSuc,axiom,
% 163.03/162.90 ! [V_n_2,V_m_2] :
% 163.03/162.90 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.90 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_card__atLeastAtMost,axiom,
% 163.03/162.90 ! [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) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastatMost__psubset__iff,axiom,
% 163.03/162.90 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 163.03/162.90 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 163.03/162.90 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2))
% 163.03/162.90 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_a_2))
% 163.03/162.90 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) )
% 163.03/162.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_atLeastLessThan__add__Un,axiom,
% 163.03/162.90 ! [V_k_2,V_j_2,V_i_2] :
% 163.03/162.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__un_I22_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Olinorder(T_a)
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 163.03/162.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_setsum__op__ivl__Suc,axiom,
% 163.03/162.90 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 163.03/162.90 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.90 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.03/162.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.03/162.90 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.03/162.90 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I16_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I13_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I12_J,axiom,
% 163.03/162.90 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.90 ( class_Orderings_Oorder(T_a)
% 163.03/162.90 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_subset__card__intvl__is__intvl,axiom,
% 163.03/162.90 ! [V_k_2,V_A_2] :
% 163.03/162.90 ( 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)))))
% 163.03/162.90 => 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))) ) ).
% 163.03/162.90
% 163.03/162.90 fof(fact_ivl__disj__int_I9_J,axiom,
% 163.03/162.91 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__atLeastLessThan,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__cl__ivl__Suc,axiom,
% 163.03/162.91 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__atLeastLessThan__int,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__ub__add__nat,axiom,
% 163.03/162.91 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => ( 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_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_simp__from__to,axiom,
% 163.03/162.91 ! [V_i_2,V_j_2] :
% 163.03/162.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.03/162.91 => 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)) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I15_J,axiom,
% 163.03/162.91 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat__gcd_Osimps,axiom,
% 163.03/162.91 ! [V_x,V_y] :
% 163.03/162.91 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.91 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 163.03/162.91 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__atLeastAtMost__int,axiom,
% 163.03/162.91 ! [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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 163.03/162.91 ! [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)))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I6_J,axiom,
% 163.03/162.91 ! [V_A_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.03/162.91 => 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)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I8_J,axiom,
% 163.03/162.91 ! [V_B_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.03/162.91 => 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))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I3_J,axiom,
% 163.03/162.91 ! [V_B_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ( ! [B_x] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xa] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 163.03/162.91 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 163.03/162.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_all__nat__less,axiom,
% 163.03/162.91 ! [V_P_2,V_n_2] :
% 163.03/162.91 ( ! [B_m] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,B_m)) )
% 163.03/162.91 <=> ! [B_x] :
% 163.03/162.91 ( 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_n_2)))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ex__nat__less,axiom,
% 163.03/162.91 ! [V_P_2,V_n_2] :
% 163.03/162.91 ( ? [B_m] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.03/162.91 & hBOOL(hAPP(V_P_2,B_m)) )
% 163.03/162.91 <=> ? [B_x] :
% 163.03/162.91 ( 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_n_2)))
% 163.03/162.91 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_all__nat__less__eq,axiom,
% 163.03/162.91 ! [V_P_2,V_n_2] :
% 163.03/162.91 ( ! [B_m] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,B_m)) )
% 163.03/162.91 <=> ! [B_x] :
% 163.03/162.91 ( 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_n_2)))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ex__nat__less__eq,axiom,
% 163.03/162.91 ! [V_P_2,V_n_2] :
% 163.03/162.91 ( ? [B_m] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.03/162.91 & hBOOL(hAPP(V_P_2,B_m)) )
% 163.03/162.91 <=> ? [B_x] :
% 163.03/162.91 ( 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_n_2)))
% 163.03/162.91 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I3_J,axiom,
% 163.03/162.91 ! [V_A_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ( ! [B_x] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xa] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 163.03/162.91 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 163.03/162.91 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I5_J,axiom,
% 163.03/162.91 ! [V_A_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.03/162.91 => 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)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I7_J,axiom,
% 163.03/162.91 ! [V_B_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.03/162.91 => 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))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I4_J,axiom,
% 163.03/162.91 ! [V_B_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( B_x != V_t_2
% 163.03/162.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I4_J,axiom,
% 163.03/162.91 ! [V_A_2,V_t_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( B_x != V_t_2
% 163.03/162.91 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I6_J,axiom,
% 163.03/162.91 ! [V_t_2,V_B_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.03/162.91 => 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)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I8_J,axiom,
% 163.03/162.91 ! [V_t_2,V_A_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_periodic__finite__ex,axiom,
% 163.03/162.91 ! [V_P_2,V_d_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.03/162.91 => ( ! [B_x,B_k] :
% 163.03/162.91 ( hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.91 <=> hBOOL(hAPP(V_P_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)))) )
% 163.03/162.91 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.91 <=> ? [B_x] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_aset_I7_J,axiom,
% 163.03/162.91 ! [V_t_2,V_A_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bset_I5_J,axiom,
% 163.03/162.91 ! [V_t_2,V_B_2,V_D_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.03/162.91 => ! [B_x] :
% 163.03/162.91 ( ! [B_xa] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ! [B_xb] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.03/162.91 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.03/162.91 => 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)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 163.03/162.91 ! [V_u_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 163.03/162.91 => 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))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.03/162.91 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_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_n_2))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_finite__lessThan,axiom,
% 163.03/162.91 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_finite__atMost,axiom,
% 163.03/162.91 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__Suc__atMost,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__eq__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)
% 163.03/162.91 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__eq__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)
% 163.03/162.91 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__lessThan,axiom,
% 163.03/162.91 ! [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 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I2_J,axiom,
% 163.03/162.91 ! [V_u_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I10_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I7_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast0LessThan,axiom,
% 163.03/162.91 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__0,axiom,
% 163.03/162.91 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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast0AtMost,axiom,
% 163.03/162.91 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__Suc,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__atMost,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__Suc,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__iff,axiom,
% 163.03/162.91 ! [V_k_2,V_i_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__iff,axiom,
% 163.03/162.91 ! [V_k_2,V_i_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__subset__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__subset__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__strict__subset__iff,axiom,
% 163.03/162.91 ! [V_n_2,V_m_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__0,axiom,
% 163.03/162.91 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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_single__Diff__lessThan,axiom,
% 163.03/162.91 ! [V_k_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I8_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I4_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I2_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I9_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I3_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I1_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 163.03/162.91 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_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_n_2))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_greaterThan__0,axiom,
% 163.03/162.91 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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atMost__Int__atLeast,axiom,
% 163.03/162.91 ! [V_n_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 163.03/162.91 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_int__val__lemma,axiom,
% 163.03/162.91 ! [V_k_2,V_f_2,V_n_2] :
% 163.03/162.91 ( ! [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.91 => 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))) )
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.03/162.91 => ? [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.91 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__eq__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)
% 163.03/162.91 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_greaterThan__eq__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)
% 163.03/162.91 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__Suc__greaterThan,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I1_J,axiom,
% 163.03/162.91 ! [V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I13_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I12_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__iff,axiom,
% 163.03/162.91 ! [V_k_2,V_i_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__subset__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__0,axiom,
% 163.03/162.91 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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_greaterThan__iff,axiom,
% 163.03/162.91 ! [V_k_2,V_i_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_greaterThan__subset__iff,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Compl__lessThan,axiom,
% 163.03/162.91 ! [V_k_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Compl__atLeast,axiom,
% 163.03/162.91 ! [V_k_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Compl__greaterThan,axiom,
% 163.03/162.91 ! [V_k_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Compl__atMost,axiom,
% 163.03/162.91 ! [V_k_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I14_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I8_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I6_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__atMost,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__atLeast,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_atLeast__Suc,axiom,
% 163.03/162.91 ! [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)))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I7_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__un_I11_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__greaterThan,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__uminus__lessThan,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ivl__disj__int_I5_J,axiom,
% 163.03/162.91 ! [V_u_2,V_l_2,T_a] :
% 163.03/162.91 ( class_Orderings_Oorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_greaterThan__Suc,axiom,
% 163.03/162.91 ! [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)))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 163.03/162.91 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat0__intermed__int__val,axiom,
% 163.03/162.91 ! [V_k_2,V_f_2,V_n_2] :
% 163.03/162.91 ( ! [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.91 => 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))) )
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.03/162.91 => ? [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.91 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat__mod__eq__lemma,axiom,
% 163.03/162.91 ! [V_y,V_n,V_x] :
% 163.03/162.91 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 163.03/162.91 => ? [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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_mod__induct__0,axiom,
% 163.03/162.91 ! [V_i_2,V_P_2,V_p_2] :
% 163.03/162.91 ( ! [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 163.03/162.91 => ( hBOOL(hAPP(V_P_2,B_i))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 163.03/162.91 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 163.03/162.91 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__ivl__cong,axiom,
% 163.03/162.91 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_a,T_b] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.91 & class_Orderings_Oord(T_a) )
% 163.03/162.91 => ( V_a_2 = V_ca_2
% 163.03/162.91 => ( V_b_2 = V_d_2
% 163.03/162.91 => ( ! [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),B_x))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2))
% 163.03/162.91 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat__intermed__int__val,axiom,
% 163.03/162.91 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 163.03/162.91 ( ! [B_i] :
% 163.03/162.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 163.03/162.91 => 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))) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.03/162.91 => ? [B_i] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.91 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_log_Osimps,axiom,
% 163.03/162.91 ! [V_i,V_b] :
% 163.03/162.91 ( ( ( 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)))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.03/162.91 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.03/162.91 & ( ~ ( 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)))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.03/162.91 => 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))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_mod__div__decomp,axiom,
% 163.03/162.91 ! [V_b,V_a,T_a] :
% 163.03/162.91 ( class_Divides_Osemiring__div(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bool_Osize_I1_J,axiom,
% 163.03/162.91 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bool_Osize_I2_J,axiom,
% 163.03/162.91 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__shift__def,axiom,
% 163.03/162.91 ! [V_r,V_l,V_k] :
% 163.03/162.91 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.03/162.91 => 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) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.03/162.91 => 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) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inc__shift__def,axiom,
% 163.03/162.91 ! [V_k,V_v] :
% 163.03/162.91 ( ( V_v = V_k
% 163.03/162.91 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.03/162.91 & ( V_v != V_k
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold1__antimono,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_field__le__epsilon,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Fields_Olinordered__field(T_a)
% 163.03/162.91 => ( ! [B_e] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 163.03/162.91 => 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))) )
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__add__distrib__left,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__less__iff__disj,axiom,
% 163.03/162.91 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__less__iff__conj,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oless__infI2,axiom,
% 163.03/162.91 ! [V_a,V_x,V_b,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oless__infI1,axiom,
% 163.03/162.91 ! [V_b,V_x,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__le1,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__le2,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__iff__inf,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 163.03/162.91 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__inf__iff,axiom,
% 163.03/162.91 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2)))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__infI1,axiom,
% 163.03/162.91 ! [V_b,V_x,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__infI2,axiom,
% 163.03/162.91 ! [V_a,V_x,V_b,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.03/162.91 => 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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__absorb1,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__absorb2,axiom,
% 163.03/162.91 ! [V_x,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__infI,axiom,
% 163.03/162.91 ! [V_b,V_a,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__greatest,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__mono,axiom,
% 163.03/162.91 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__infE,axiom,
% 163.03/162.91 ! [V_b,V_a,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( 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)))
% 163.03/162.91 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.03/162.91 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__le__iff__disj,axiom,
% 163.03/162.91 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__Suc__Suc,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oidem,axiom,
% 163.03/162.91 ! [V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__assoc,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf_Oassoc,axiom,
% 163.03/162.91 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__left__commute,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 163.03/162.91 ! [V_c,V_a,V_b,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__left__idem,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 163.03/162.91 ! [V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__commute,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf_Ocommute,axiom,
% 163.03/162.91 ! [V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf_Oidem,axiom,
% 163.03/162.91 ! [V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__0R,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__0L,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inf__min,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( ( class_Lattices_Osemilattice__inf(T_a)
% 163.03/162.91 & class_Orderings_Olinorder(T_a) )
% 163.03/162.91 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__diff__distrib__left,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__diff,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__number__of,axiom,
% 163.03/162.91 ! [V_v,V_u,T_b] :
% 163.03/162.91 ( ( class_Int_Onumber(T_b)
% 163.03/162.91 & class_Orderings_Oord(T_b) )
% 163.03/162.91 => ( ( 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)))
% 163.03/162.91 => 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) )
% 163.03/162.91 & ( ~ 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)))
% 163.03/162.91 => 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) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofold__inf__insert,axiom,
% 163.03/162.91 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastAtMostL1,axiom,
% 163.03/162.91 ! [V_d_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastAtMostR1,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_b_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofold1__belowI,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold1__below__iff,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 163.03/162.91 <=> ? [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 163.03/162.91 <=> ! [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold1__strict__below__iff,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 163.03/162.91 <=> ? [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_strict__below__fold1__iff,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 163.03/162.91 <=> ! [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__ord__min,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oremove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oeq__fold_H,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inf__nat__def,axiom,
% 163.03/162.91 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Osingleton,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__le,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__in,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oin__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_OF__eq,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__antimono,axiom,
% 163.03/162.91 ! [V_N_2,V_M_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.03/162.91 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__insert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Osubset__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__Un,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oinsert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oinsert__remove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Ounion__disjoint,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Ounion__inter,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Oclosed,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 163.03/162.91 ! [V_N_2,V_h_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min_Ohom__commute,axiom,
% 163.03/162.91 ! [V_N_2,V_h_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__Min__eq__Max,axiom,
% 163.03/162.91 ! [V_S_2,T_a] :
% 163.03/162.91 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__Max__eq__Min,axiom,
% 163.03/162.91 ! [V_S_2,T_a] :
% 163.03/162.91 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 163.03/162.91 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ! [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Min__eqI,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ! [B_y] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Osingleton,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__ge,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__in,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__mono,axiom,
% 163.03/162.91 ! [V_N_2,V_M_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.03/162.91 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oremove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__eqI,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ! [B_y] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) )
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oeq__fold_H,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Ounion__disjoint,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 163.03/162.91 ! [V_x,V_z,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 163.03/162.91 ! [V_x,V_z,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__inf__absorb,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__add__distrib__left,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oless__supI1,axiom,
% 163.03/162.91 ! [V_b,V_a,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.03/162.91 => 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))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oless__supI2,axiom,
% 163.03/162.91 ! [V_a,V_b,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 163.03/162.91 => 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))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_less__max__iff__disj,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__less__iff__conj,axiom,
% 163.03/162.91 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_le__maxI1,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_le__maxI2,axiom,
% 163.03/162.91 ! [V_x,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__iff__sup,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 163.03/162.91 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__sup__iff,axiom,
% 163.03/162.91 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__supI1,axiom,
% 163.03/162.91 ! [V_b,V_a,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.03/162.91 => 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))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__supI2,axiom,
% 163.03/162.91 ! [V_a,V_b,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.03/162.91 => 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))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__absorb2,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__absorb1,axiom,
% 163.03/162.91 ! [V_x,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__supI,axiom,
% 163.03/162.91 ! [V_b,V_x,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.03/162.91 => 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)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__least,axiom,
% 163.03/162.91 ! [V_z,V_x,V_y,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 163.03/162.91 => 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)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__mono,axiom,
% 163.03/162.91 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.03/162.91 => 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))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ole__supE,axiom,
% 163.03/162.91 ! [V_x,V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( 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))
% 163.03/162.91 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.03/162.91 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_le__max__iff__disj,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 163.03/162.91 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2))
% 163.03/162.91 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__Suc__Suc,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oidem,axiom,
% 163.03/162.91 ! [V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__assoc,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup_Oassoc,axiom,
% 163.03/162.91 ! [V_c,V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__left__commute,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 163.03/162.91 ! [V_c,V_a,V_b,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__left__idem,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 163.03/162.91 ! [V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__commute,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup_Ocommute,axiom,
% 163.03/162.91 ! [V_b,V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup_Oidem,axiom,
% 163.03/162.91 ! [V_a,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__0R,axiom,
% 163.03/162.91 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__0L,axiom,
% 163.03/162.91 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 163.03/162.91
% 163.03/162.91 fof(fact_sup__max,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( ( class_Lattices_Osemilattice__sup(T_a)
% 163.03/162.91 & class_Orderings_Olinorder(T_a) )
% 163.03/162.91 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__diff__distrib__left,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__number__of,axiom,
% 163.03/162.91 ! [V_v,V_u,T_b] :
% 163.03/162.91 ( ( class_Int_Onumber(T_b)
% 163.03/162.91 & class_Orderings_Oord(T_b) )
% 163.03/162.91 => ( ( 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)))
% 163.03/162.91 => 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) )
% 163.03/162.91 & ( ~ 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)))
% 163.03/162.91 => 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) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Odistrib__inf__le,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Odistrib__sup__le,axiom,
% 163.03/162.91 ! [V_z,V_y,V_x,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => 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)))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__min__eq__max,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__max__eq__min,axiom,
% 163.03/162.91 ! [V_y,V_x,T_a] :
% 163.03/162.91 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.03/162.91 => 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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat__minus__add__max,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofold__sup__insert,axiom,
% 163.03/162.91 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oin__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastAtMost,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastLessThan,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__greaterThanAtMost,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__greaterThanLessThan,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastAtMostL2,axiom,
% 163.03/162.91 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_b_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Int__atLeastAtMostR2,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,V_a_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_d_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_OF__eq,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__insert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Osubset__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max__Un,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oinsert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oinsert__remove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Ounion__inter,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_max__ord__max,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Oord(T_a)
% 163.03/162.91 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Oclosed,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OInf__le__Sup,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_sup__nat__def,axiom,
% 163.03/162.91 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 163.03/162.91 ! [V_a_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 163.03/162.91 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 163.03/162.91 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.91 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 163.03/162.91 ! [V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 163.03/162.91 ! [V_N_2,V_h_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Max_Ohom__commute,axiom,
% 163.03/162.91 ! [V_N_2,V_h_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.91 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 163.03/162.91 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( ! [B_x] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osize_I6_J,axiom,
% 163.03/162.91 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osize_I14_J,axiom,
% 163.03/162.91 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evaln_OWhileFalse,axiom,
% 163.03/162.91 ! [V_n_2,V_ca_2,V_s_2,V_b_2] :
% 163.03/162.91 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_s_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evaln_OWhileTrue,axiom,
% 163.03/162.91 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_b_2] :
% 163.03/162.91 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_n_2),V_s1_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_n_2),V_s2_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_n_2),V_s2_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evalc_OWhileTrue,axiom,
% 163.03/162.91 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] :
% 163.03/162.91 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2))
% 163.03/162.91 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evalc_OWhileFalse,axiom,
% 163.03/162.91 ! [V_ca_2,V_s_2,V_b_2] :
% 163.03/162.91 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_WTs__elim__cases_I6_J,axiom,
% 163.03/162.91 ! [V_ca_2,V_b_2] :
% 163.03/162.91 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2)))
% 163.03/162.91 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I52_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I53_J,axiom,
% 163.03/162.91 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I47_J,axiom,
% 163.03/162.91 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I46_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I61_J,axiom,
% 163.03/162.91 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I60_J,axiom,
% 163.03/162.91 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I38_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I39_J,axiom,
% 163.03/162.91 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I17_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I16_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_While,axiom,
% 163.03/162.91 ! [V_b_2,V_ca_2] :
% 163.03/162.91 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 163.03/162.91 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_WT_Oequations_I6_J,axiom,
% 163.03/162.91 ! [V_a1_2,V_a2_2] :
% 163.03/162.91 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2)))
% 163.03/162.91 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I58_J,axiom,
% 163.03/162.91 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I59_J,axiom,
% 163.03/162.91 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_com_Osimps_I5_J,axiom,
% 163.03/162.91 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 163.03/162.91 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 163.03/162.91 <=> ( V_fun_2 = V_fun_H_2
% 163.03/162.91 & V_com_2 = V_com_H_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evalc_Oequations_I7_J,axiom,
% 163.03/162.91 ! [V_a2_2,V_a3_2,V_a1_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.91 => ? [B_s1] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evalc_Oequations_I8_J,axiom,
% 163.03/162.91 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 163.03/162.91 <=> ( ( V_a5_2 = V_a2_2
% 163.03/162.91 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 163.03/162.91 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.91 & ? [B_s1] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 163.03/162.91 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evaln_Oequations_I8_J,axiom,
% 163.03/162.91 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2))
% 163.03/162.91 <=> ( ( V_a6_2 = V_a2_2
% 163.03/162.91 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 163.03/162.91 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.91 & ? [B_s1] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 163.03/162.91 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_evaln_Oequations_I7_J,axiom,
% 163.03/162.91 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2))
% 163.03/162.91 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 163.03/162.91 => ? [B_s1] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 163.03/162.91 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_subtract__code__numeral__def,axiom,
% 163.03/162.91 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_minus__code__numeral__code,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pair__box_Osize_I1_J,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_b,T_a] : c_Nitpick_Opair__box_Opair__box__size(T_a,T_b,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_a,T_b,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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pair__box_Oinject,axiom,
% 163.03/162.91 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.91 ( c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a_H_2,V_b_H_2)
% 163.03/162.91 <=> ( V_a_2 = V_a_H_2
% 163.03/162.91 & V_b_2 = V_b_H_2 ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pair__box_Osize_I2_J,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pair__box_Osimps_I2_J,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__case(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pair__box_Orecs,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__rec(T_b,T_c,T_a,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_arith__series__int,axiom,
% 163.03/162.91 ! [V_n_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_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_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_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 163.03/162.91 ! [V_w] :
% 163.03/162.91 ( 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)))
% 163.03/162.91 => ( ( 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))))
% 163.03/162.91 => 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))) )
% 163.03/162.91 & ( ~ 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))))
% 163.03/162.91 => 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)))) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold__image__reindex,axiom,
% 163.03/162.91 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] :
% 163.03/162.91 ( class_Groups_Oab__semigroup__mult(T_c)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2)
% 163.03/162.91 => 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(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__abs,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__abs__ge__zero,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__add__atLeastAtMost,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_ran__empty,axiom,
% 163.03/162.91 ! [T_a,T_b] : c_Map_Oran(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_of__nat__setprod,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.91 & class_Rings_Osemiring__1(T_a) )
% 163.03/162.91 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 163.03/162.91 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_n_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 163.03/162.91 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_n_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__addf,axiom,
% 163.03/162.91 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum_Odistrib,axiom,
% 163.03/162.91 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_nat__number__of__Bit0,axiom,
% 163.03/162.91 ! [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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__on__add__nat,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pred__subset__eq,axiom,
% 163.03/162.91 ! [V_S_2,V_R_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pred__subset__eq2,axiom,
% 163.03/162.91 ! [V_S_2,V_R_2,T_b,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_less__eq__Suc__le__raw,axiom,
% 163.03/162.91 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_restrict__map__to__empty,axiom,
% 163.03/162.91 ! [V_x_2,V_m_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__dividef,axiom,
% 163.03/162.91 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Fields_Ofield__inverse__zero(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod_Odistrib,axiom,
% 163.03/162.91 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__1,axiom,
% 163.03/162.91 ! [V_A_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bot__empty__eq,axiom,
% 163.03/162.91 ! [V_x_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bot__fun__def,axiom,
% 163.03/162.91 ! [V_x_2,T_b,T_a] :
% 163.03/162.91 ( class_Orderings_Obot(T_a)
% 163.03/162.91 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pred__equals__eq2,axiom,
% 163.03/162.91 ! [V_S_2,V_R_2,T_b,T_a] :
% 163.03/162.91 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)
% 163.03/162.91 <=> V_R_2 = V_S_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_pred__equals__eq,axiom,
% 163.03/162.91 ! [V_S_2,V_R_2,T_a] :
% 163.03/162.91 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)
% 163.03/162.91 <=> V_R_2 = V_S_2 ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_bot__empty__eq2,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,T_b,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__Compl__def,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ouminus(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__timesf,axiom,
% 163.03/162.91 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 163.03/162.91 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 163.03/162.91 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__eq__dest__lhs,axiom,
% 163.03/162.91 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 163.03/162.91 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_ca_2
% 163.03/162.91 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_K__record__comp,axiom,
% 163.03/162.91 ! [V_x_2,V_f_2,V_ca_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__eq__elim,axiom,
% 163.03/162.91 ! [V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 163.03/162.91 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 163.03/162.91 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__eq__dest,axiom,
% 163.03/162.91 ! [V_v_2,V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 163.03/162.91 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 163.03/162.91 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__apply,axiom,
% 163.03/162.91 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__assoc,axiom,
% 163.03/162.91 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_o__def,axiom,
% 163.03/162.91 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_vimage__ident,axiom,
% 163.03/162.91 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__upd__def,axiom,
% 163.03/162.91 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] :
% 163.03/162.91 ( ( V_x_2 = V_a_2
% 163.03/162.91 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 )
% 163.03/162.91 & ( V_x_2 != V_a_2
% 163.03/162.91 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 163.03/162.91 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 163.03/162.91 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_comp__cong,axiom,
% 163.03/162.91 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 163.03/162.91 ( 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))
% 163.03/162.91 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_restrict__map__empty,axiom,
% 163.03/162.91 ! [V_x_2,V_D_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold__image__def,axiom,
% 163.03/162.91 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__add__def,axiom,
% 163.03/162.91 ! [V_x_2,V_m2_2,V_m1_2,T_a,T_b] : hAPP(c_Map_Omap__add(T_b,T_a,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_a)),hAPP(V_m2_2,V_x_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__add__empty,axiom,
% 163.03/162.91 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = V_m_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_empty__map__add,axiom,
% 163.03/162.91 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)),V_m_2) = V_m_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_empty__upd__none,axiom,
% 163.03/162.91 ! [V_xa_2,V_x_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))),V_x_2),c_Option_Ooption_ONone(T_a)),V_xa_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__on__id2,axiom,
% 163.03/162.91 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__on__imageI2,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2)
% 163.03/162.91 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_vimage__compose,axiom,
% 163.03/162.91 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__upd__comp,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_c),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__comp__empty_I2_J,axiom,
% 163.03/162.91 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__comp__empty_I1_J,axiom,
% 163.03/162.91 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__comp__def,axiom,
% 163.03/162.91 ! [V_k_2,V_g_2,V_f_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_b,c_Option_Ooption_ONone(T_a),V_f_2),hAPP(V_g_2,V_k_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_int__setprod,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__fun,axiom,
% 163.03/162.91 ! [T_c,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.91 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_abs__setprod,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Fields_Olinordered__field(T_a)
% 163.03/162.91 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 163.03/162.91 ! [V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 163.03/162.91 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 163.03/162.91 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_restrict__map__def,axiom,
% 163.03/162.91 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 163.03/162.91 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_dom__const,axiom,
% 163.03/162.91 ! [V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_dom__empty,axiom,
% 163.03/162.91 ! [T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_dom__eq__empty__conv,axiom,
% 163.03/162.91 ! [V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Map_Odom(T_a,T_b,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_of__int__setprod,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.91 & class_Rings_Oring__1(T_a) )
% 163.03/162.91 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_card__eq__setsum,axiom,
% 163.03/162.91 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_map__upd__nonempty,axiom,
% 163.03/162.91 ! [V_x_2,V_k_2,V_t_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_of__int__setsum,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Rings_Oring__1(T_a)
% 163.03/162.91 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_of__nat__setsum,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.91 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__singleton,axiom,
% 163.03/162.91 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_abs__setsum__abs,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.91 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__0,axiom,
% 163.03/162.91 ! [V_A_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_int__setsum,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__commute,axiom,
% 163.03/162.91 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__divide__distrib,axiom,
% 163.03/162.91 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Fields_Ofield(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__negf,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__right__distrib,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] :
% 163.03/162.91 ( class_Rings_Osemiring__0(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__left__distrib,axiom,
% 163.03/162.91 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Rings_Osemiring__0(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__product,axiom,
% 163.03/162.91 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Rings_Osemiring__0(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_finite__range__imageI,axiom,
% 163.03/162.91 ! [V_f_2,T_c,V_g_2,T_b,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 163.03/162.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__constant__conv,axiom,
% 163.03/162.91 ! [V_ca_2,T_b,T_a,V_A_2] :
% 163.03/162.91 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.91 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_range__composition,axiom,
% 163.03/162.91 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__image,axiom,
% 163.03/162.91 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__ident,axiom,
% 163.03/162.91 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__compose,axiom,
% 163.03/162.91 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 163.03/162.91 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 163.03/162.91 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__subtractf,axiom,
% 163.03/162.91 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fun__diff__def,axiom,
% 163.03/162.91 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.91 ( class_Groups_Ominus(T_a)
% 163.03/162.91 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inf__Int__eq2,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inf__Int__eq,axiom,
% 163.03/162.91 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inf__fun__def,axiom,
% 163.03/162.91 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Lattices_Olattice(T_a)
% 163.03/162.91 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__add__atLeastLessThan,axiom,
% 163.03/162.91 ! [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)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_sup__Un__eq,axiom,
% 163.03/162.91 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_sup__Un__eq2,axiom,
% 163.03/162.91 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_sup__fun__def,axiom,
% 163.03/162.91 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( class_Lattices_Olattice(T_a)
% 163.03/162.91 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__delta_H,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__delta,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__constant,axiom,
% 163.03/162.91 ! [V_ca_2,T_b,V_A_2,V_x_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__delta_H,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__delta,axiom,
% 163.03/162.91 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.91 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_vimage__const,axiom,
% 163.03/162.91 ! [T_b,V_A_2,V_ca_2,T_a] :
% 163.03/162.91 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 163.03/162.91 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.91 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 163.03/162.91 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__constant,axiom,
% 163.03/162.91 ! [V_A_2,V_y_2,T_b,T_a] :
% 163.03/162.91 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_power__number__of__even,axiom,
% 163.03/162.91 ! [V_w_2,V_z_2,T_a] :
% 163.03/162.91 ( class_Int_Onumber__ring(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_fold__image__distrib,axiom,
% 163.03/162.91 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_MGT__def,axiom,
% 163.03/162.91 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_dual__max,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_dual__min,axiom,
% 163.03/162.91 ! [T_a] :
% 163.03/162.91 ( class_Orderings_Olinorder(T_a)
% 163.03/162.91 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setprod__constant,axiom,
% 163.03/162.91 ! [V_y_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_zpower__number__of__even,axiom,
% 163.03/162.91 ! [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))) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_comp__surj,axiom,
% 163.03/162.91 ! [V_g_2,T_c,V_f_2,T_a,T_b] :
% 163.03/162.91 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.91 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 163.03/162.91 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,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_c,tc_HOL_Obool)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__lessThan__Suc,axiom,
% 163.03/162.91 ! [V_n_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__on__imageI,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2)
% 163.03/162.91 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_comp__inj__on,axiom,
% 163.03/162.91 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.91 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 163.03/162.91 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_comp__inj__on__iff,axiom,
% 163.03/162.91 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.91 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 163.03/162.91 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_inj__comp,axiom,
% 163.03/162.91 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 163.03/162.91 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.91 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.03/162.91 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__atMost__Suc,axiom,
% 163.03/162.91 ! [V_n_2,V_f_2,T_a] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 163.03/162.91 ! [V_A_2,V_f_2,T_a] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__add__int__atLeastLessThan,axiom,
% 163.03/162.91 ! [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) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 163.03/162.91 ! [V_f_2,V_A_2,T_a] :
% 163.03/162.91 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.91 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.91 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_Powp__Pow__eq,axiom,
% 163.03/162.91 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 163.03/162.91 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_setsum__restrict__set,axiom,
% 163.03/162.91 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.91 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_image__eq__fold__image,axiom,
% 163.03/162.91 ! [V_f_2,T_b,V_A_2,T_a] :
% 163.03/162.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.91 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,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_a),c_Set_Oinsert(T_b)),V_f_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))),V_A_2) ) ).
% 163.03/162.91
% 163.03/162.91 fof(fact_power__number__of__even__number__of,axiom,
% 163.03/162.92 ! [V_w_2,V_v_2,T_a] :
% 163.03/162.92 ( class_Int_Onumber__ring(T_a)
% 163.03/162.92 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_card_Oeq__fold__g,axiom,
% 163.03/162.92 ! [V_A_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_card__def,axiom,
% 163.03/162.92 ! [V_A_2,T_a] :
% 163.03/162.92 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fun__left__comm__idem__remove,axiom,
% 163.03/162.92 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_vimage__if,axiom,
% 163.03/162.92 ! [V_B_2,T_b,V_d_2,V_A_2,V_ca_2,T_a] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 163.03/162.92 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 163.03/162.92 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 163.03/162.92 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 163.03/162.92 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_diff__nat__eq__if,axiom,
% 163.03/162.92 ! [V_z_2,V_z_H_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg__div__mod,axiom,
% 163.03/162.92 ! [V_l,V_k] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg__minus1,axiom,
% 163.03/162.92 ! [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))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_a] :
% 163.03/162.92 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.92 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.92 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_LoopF,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_P_2,V_G_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_adjust__eq,axiom,
% 163.03/162.92 ! [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))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_hoare__derivs_OBody,axiom,
% 163.03/162.92 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__head,axiom,
% 163.03/162.92 ! [V_P_2,V_n_2,V_m_2,T_a] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_minus__fold__remove,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Body__sound__lemma,axiom,
% 163.03/162.92 ! [V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_dom__eq__singleton__conv,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Map_Odom(T_a,T_b,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.92 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),B_v)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__reindex,axiom,
% 163.03/162.92 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_eq__number__of__Suc,axiom,
% 163.03/162.92 ! [V_n_2,V_v_2] :
% 163.03/162.92 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 163.03/162.92 <=> 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_n_2))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Suc__eq__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_n_2] :
% 163.03/162.92 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.03/162.92 <=> 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_n_2))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setprod__reindex__cong,axiom,
% 163.03/162.92 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.92 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 163.03/162.92 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setprod__reindex,axiom,
% 163.03/162.92 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__number__of__Bit1,axiom,
% 163.03/162.92 ! [V_w_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.03/162.92 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_geometric__sum,axiom,
% 163.03/162.92 ! [V_n_2,V_x_2,T_a] :
% 163.03/162.92 ( class_Fields_Ofield(T_a)
% 163.03/162.92 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_gauss__sum,axiom,
% 163.03/162.92 ! [V_n_2,T_a] :
% 163.03/162.92 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.92 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__natinterval__difff,axiom,
% 163.03/162.92 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 163.03/162.92 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_n_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__Suc__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_n_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 163.03/162.92 <=> 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_n_2)),c_Int_Onat))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__number__of__Suc,axiom,
% 163.03/162.92 ! [V_n_2,V_v_2] :
% 163.03/162.92 ( 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_n_2)))
% 163.03/162.92 <=> 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_n_2)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_le__number__of__Suc,axiom,
% 163.03/162.92 ! [V_n_2,V_v_2] :
% 163.03/162.92 ( 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_n_2)))
% 163.03/162.92 <=> 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_n_2)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_le__Suc__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_n_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 163.03/162.92 <=> 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_n_2)),c_Int_Onat))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__number__of__Suc,axiom,
% 163.03/162.92 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_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_n_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_n_2)),c_Int_Onat)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__Suc__number__of,axiom,
% 163.03/162.92 ! [V_n_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_n_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_n_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_n_2)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_power__number__of__odd,axiom,
% 163.03/162.92 ! [V_z_2,V_w_2,T_a] :
% 163.03/162.92 ( class_Int_Onumber__ring(T_a)
% 163.03/162.92 => ( ( 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)))
% 163.03/162.92 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setprod__gen__delta,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 163.03/162.92 ! [V_x_2,V_y_2,V_ca_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 163.03/162.92 => 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_ca_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_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.03/162.92 => 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_ca_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))) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.03/162.92 => 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_ca_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)) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum_Oreindex,axiom,
% 163.03/162.92 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_zpower__number__of__odd,axiom,
% 163.03/162.92 ! [V_z_2,V_w_2] :
% 163.03/162.92 ( ( 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)))
% 163.03/162.92 => 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))) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => 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) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setprod_Oreindex,axiom,
% 163.03/162.92 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_arith__series__general,axiom,
% 163.03/162.92 ! [V_n_2,V_d_2,V_a_2,T_a] :
% 163.03/162.92 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.03/162.92 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg_Osimps,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( ( ( 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)))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ ( 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)))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__number__of__Suc,axiom,
% 163.03/162.92 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_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_n_2)),c_Int_Onat)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__Suc__number__of,axiom,
% 163.03/162.92 ! [V_n_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_n_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_n_2)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_arith__series__nat,axiom,
% 163.03/162.92 ! [V_n_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_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_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_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_the__inv__into__comp,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))
% 163.03/162.92 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))))
% 163.03/162.92 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_power__number__of__odd__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_w_2,T_a] :
% 163.03/162.92 ( class_Int_Onumber__ring(T_a)
% 163.03/162.92 => ( ( 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)))
% 163.03/162.92 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg__eqn,axiom,
% 163.03/162.92 ! [V_a,V_b] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => ( ( 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)))
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => 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))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg__eqn__number__of,axiom,
% 163.03/162.92 ! [V_w,V_v] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( 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))))
% 163.03/162.92 => 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))) )
% 163.03/162.92 & ( ~ 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))))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Body1,axiom,
% 163.03/162.92 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_diff__nat__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_v_H_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_norm__frac_Osimps,axiom,
% 163.03/162.92 ! [V_a_2,V_b_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.92 => 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))) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__case__add__eq__if,axiom,
% 163.03/162.92 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_n_2)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 163.03/162.92 ! [V_w] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( 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)))
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sup2CI,axiom,
% 163.03/162.92 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] :
% 163.03/162.92 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sup2E,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.03/162.92 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inf2E,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.03/162.92 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.03/162.92 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inf2I,axiom,
% 163.03/162.92 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_bot2E,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sup2I2,axiom,
% 163.03/162.92 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sup2I1,axiom,
% 163.03/162.92 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inf2D2,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inf2D1,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__by__empty,axiom,
% 163.03/162.92 ! [V_B_2,T_a,V_A_2] :
% 163.03/162.92 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_predicate2D,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_rev__predicate2D,axiom,
% 163.03/162.92 ! [V_Q_2,T_b,T_a,V_y_2,V_x_2,V_P_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__case__0,axiom,
% 163.03/162.92 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__case__Suc,axiom,
% 163.03/162.92 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__0,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__Suc1,axiom,
% 163.03/162.92 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_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_n_2)),V_m_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__Suc2,axiom,
% 163.03/162.92 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_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_n_2)),V_m_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 163.03/162.92 ! [V_n_2,V_m_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.03/162.92 <=> 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_n_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_diff__Suc,axiom,
% 163.03/162.92 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_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_n_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__Suc1,axiom,
% 163.03/162.92 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_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_n_2)),V_m_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__Suc2,axiom,
% 163.03/162.92 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_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_n_2)),V_m_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__div__mod,axiom,
% 163.03/162.92 ! [V_l,V_k] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__case__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__eqn__number__of,axiom,
% 163.03/162.92 ! [V_w,V_v] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( 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)))
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ 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)))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__eqn,axiom,
% 163.03/162.92 ! [V_a,V_b] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.92 => 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))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg_Osimps,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_in__rel__def,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))
% 163.03/162.92 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__mod__code__numeral__def,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Nitpick_Orefl_H__def,axiom,
% 163.03/162.92 ! [V_r_2,T_a] :
% 163.03/162.92 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 163.03/162.92 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_adjust__def,axiom,
% 163.03/162.92 ! [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))))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__step,axiom,
% 163.03/162.92 ! [V_m,V_n] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Loop__sound__lemma,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_peek__and__def,axiom,
% 163.03/162.92 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_p_2),V_Z_2),V_s_2))
% 163.03/162.92 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 163.03/162.92 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__zero,axiom,
% 163.03/162.92 ! [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) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__base,axiom,
% 163.03/162.92 ! [V_n,V_m] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.03/162.92 => 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) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__div__mod,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Loop,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_hoare__derivs_OIf,axiom,
% 163.03/162.92 ! [V_d_2,V_Q_2,V_ca_2,V_b_2,V_P_2,V_G_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 163.03/162.92 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__imageI,axiom,
% 163.03/162.92 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_of__int__num,axiom,
% 163.03/162.92 ! [V_k_2,T_a] :
% 163.03/162.92 ( class_Rings_Oring__1(T_a)
% 163.03/162.92 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.03/162.92 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),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_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),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))))) ) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__rec__add__eq__if,axiom,
% 163.03/162.92 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),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_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,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_n_2))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_splitI,axiom,
% 163.03/162.92 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod__caseI,axiom,
% 163.03/162.92 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mem__splitI,axiom,
% 163.03/162.92 ! [T_c,T_b,V_b_2,V_a_2,V_ca_2,V_z_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_splitD,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_splitD_H,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_ca_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__rec__0,axiom,
% 163.03/162.92 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__rec__Suc,axiom,
% 163.03/162.92 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a,V_f1_2,V_f2_2),V_nat_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__paired__All,axiom,
% 163.03/162.92 ! [T_b,T_a,V_P_2] :
% 163.03/162.92 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.92 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Pair__eq,axiom,
% 163.03/162.92 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.92 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)
% 163.03/162.92 <=> ( V_a_2 = V_a_H_2
% 163.03/162.92 & V_b_2 = V_b_H_2 ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Pair__inject,axiom,
% 163.03/162.92 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 163.03/162.92 ( 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)
% 163.03/162.92 => ~ ( V_a = V_a_H
% 163.03/162.92 => V_b != V_b_H ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__weak__cong,axiom,
% 163.03/162.92 ! [V_ca_2,T_c,T_b,T_a,V_q_2,V_p_2] :
% 163.03/162.92 ( V_p_2 = V_q_2
% 163.03/162.92 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_q_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__mod__div,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod_Osimps_I2_J,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__conv,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__if,axiom,
% 163.03/162.92 ! [V_m_2,V_n_2] :
% 163.03/162.92 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.03/162.92 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 163.03/162.92 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.03/162.92 => c_Divides_Odivmod__nat(V_m_2,V_n_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_n_2),V_n_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__eta,axiom,
% 163.03/162.92 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_swap__inj__on,axiom,
% 163.03/162.92 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__twice,axiom,
% 163.03/162.92 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__rec__number__of,axiom,
% 163.03/162.92 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Nitpick_OFrac__def,axiom,
% 163.03/162.92 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)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__def,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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))) ) ) ) ) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => 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))) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__pdivmod,axiom,
% 163.03/162.92 ! [V_l_2,V_k_2] :
% 163.03/162.92 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apsnd__conv,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apsnd__compose,axiom,
% 163.03/162.92 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negateSnd__def,axiom,
% 163.03/162.92 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negateSnd__eq,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pdivmod__def,axiom,
% 163.03/162.92 ! [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))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pdivmod__posDivAlg,axiom,
% 163.03/162.92 ! [V_k,V_l] :
% 163.03/162.92 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__code,axiom,
% 163.03/162.92 ! [V_l_2,V_k_2] :
% 163.03/162.92 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 163.03/162.92 ! [V_n_2,T_a] :
% 163.03/162.92 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.92 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 163.03/162.92 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 163.03/162.92 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__unique,axiom,
% 163.03/162.92 ! [V_qr_H,V_qr,V_n,V_m] :
% 163.03/162.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.03/162.92 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 163.03/162.92 => V_qr = V_qr_H ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__eq,axiom,
% 163.03/162.92 ! [V_qr,V_n,V_m] :
% 163.03/162.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.03/162.92 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 163.03/162.92 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 163.03/162.92 ! [V_i_2,V_inc_2,T_a] :
% 163.03/162.92 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.92 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 163.03/162.92 ! [V_i_2,V_n_2,V_inc_2,T_a] :
% 163.03/162.92 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.92 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__eq,axiom,
% 163.03/162.92 ! [V_r,V_q,V_n,V_m] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__eq,axiom,
% 163.03/162.92 ! [V_r,V_q,V_n,V_m] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel,axiom,
% 163.03/162.92 ! [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)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 163.03/162.92 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( 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)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_MGT__alternD,axiom,
% 163.03/162.92 ! [V_ca_2,V_G_2] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 163.03/162.92 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg_Opsimps,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( ( 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)))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ ( 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)))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_zmult2__lemma,axiom,
% 163.03/162.92 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_triple__valid__def,axiom,
% 163.03/162.92 ! [V_t_2,V_n_2,T_a] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,V_t_2)
% 163.03/162.92 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_n_2))))))))),V_t_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_accp_Osimps,axiom,
% 163.03/162.92 ! [V_a_2,V_r_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.03/162.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_accp_Oequations,axiom,
% 163.03/162.92 ! [V_a_2,V_r_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.03/162.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_accp__downward,axiom,
% 163.03/162.92 ! [V_a_2,V_b_2,V_r_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.03/162.92 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_unique__remainder,axiom,
% 163.03/162.92 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( 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)))
% 163.03/162.92 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => V_r = V_r_H ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_unique__quotient,axiom,
% 163.03/162.92 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( 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)))
% 163.03/162.92 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => V_q = V_q_H ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_self__remainder,axiom,
% 163.03/162.92 ! [V_r,V_q,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__0,axiom,
% 163.03/162.92 ! [V_b] :
% 163.03/162.92 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_accp__subset,axiom,
% 163.03/162.92 ! [V_R2_2,V_R1_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__neg,axiom,
% 163.03/162.92 ! [V_qr,V_b,V_a] :
% 163.03/162.92 ( 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))
% 163.03/162.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__correct,axiom,
% 163.03/162.92 ! [V_a,V_b] :
% 163.03/162.92 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_self__quotient,axiom,
% 163.03/162.92 ! [V_r,V_q,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__mod,axiom,
% 163.03/162.92 ! [V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__div,axiom,
% 163.03/162.92 ! [V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg__correct,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__div__mod,axiom,
% 163.03/162.92 ! [V_a,V_b] :
% 163.03/162.92 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg__correct,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_zadd1__lemma,axiom,
% 163.03/162.92 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( 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)))
% 163.03/162.92 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_zminus1__lemma,axiom,
% 163.03/162.92 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => 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))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__relI,axiom,
% 163.03/162.92 ! [V_r,V_q,V_b,V_a] :
% 163.03/162.92 ( 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)
% 163.03/162.92 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.03/162.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.03/162.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.03/162.92 => 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))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_zmult1__lemma,axiom,
% 163.03/162.92 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_MGT__alternI,axiom,
% 163.03/162.92 ! [V_ca_2,V_G_2] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__int__rel__def,axiom,
% 163.03/162.92 ! [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))))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg_Opsimps,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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) )
% 163.03/162.92 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => 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))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_norm__frac_Opsimps,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.92 => 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)) )
% 163.03/162.92 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.03/162.92 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.03/162.92 => 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))) ) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_negDivAlg_Opinduct,axiom,
% 163.03/162.92 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ! [B_a,B_b] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( ~ ( 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)))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_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))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_posDivAlg_Opinduct,axiom,
% 163.03/162.92 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ! [B_a,B_b] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 163.03/162.92 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_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))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__gcd_Opsimps,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 163.03/162.92 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 => 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)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_a] :
% 163.03/162.92 ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__pos__neg__1__number__of,axiom,
% 163.03/162.92 ! [V_w] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => 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))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_in__measure,axiom,
% 163.03/162.92 ! [V_f_2,V_y_2,V_x_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)))
% 163.03/162.92 <=> 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))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_a] :
% 163.03/162.92 ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_snd__eqD,axiom,
% 163.03/162.92 ! [V_a,V_y,V_x,T_a,T_b] :
% 163.03/162.92 ( 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
% 163.03/162.92 => V_y = V_a ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_snd__conv,axiom,
% 163.03/162.92 ! [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 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apsnd__eq__conv,axiom,
% 163.03/162.92 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] :
% 163.03/162.92 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2)
% 163.03/162.92 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_snd__apsnd,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_snd__def,axiom,
% 163.03/162.92 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__int__def,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__neg__pos,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__pos__pos,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__pos__pos__1__number__of,axiom,
% 163.03/162.92 ! [V_w] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => 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))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__pos__neg,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__neg__neg,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Oremove,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.92 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_norm__frac_Opinduct,axiom,
% 163.03/162.92 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ! [B_a,B_b] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_finite__pointwise,axiom,
% 163.03/162.92 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_G_2,T_b,V_U_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2))
% 163.03/162.92 => ( ! [B_p] :
% 163.03/162.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 163.03/162.92 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 163.03/162.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__left__comp,axiom,
% 163.03/162.92 ! [V_g_2,V_x_2,V_y_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__comp,axiom,
% 163.03/162.92 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 163.03/162.92 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_F_2,V_fa_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_F_2)
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mod__nat__def,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 163.03/162.92 ! [V_g_2,T_c,V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 163.03/162.92 ! [V_g_2,V_x_2,T_c,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ocommute__comp_H,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Oeq__fold,axiom,
% 163.03/162.92 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Oinsert,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ounion__inter,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Oinsert__remove,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding_Ounion,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.92 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__pos__neg__1__number__of,axiom,
% 163.03/162.92 ! [V_w] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => 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))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inj__vimage__singleton,axiom,
% 163.03/162.92 ! [V_a_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__gcd_Opinduct,axiom,
% 163.03/162.92 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ! [B_x,B_y] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod__eqI,axiom,
% 163.03/162.92 ! [V_q,V_p,T_b,T_a] :
% 163.03/162.92 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 163.03/162.92 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 163.03/162.92 => V_p = V_q ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Pair__fst__snd__eq,axiom,
% 163.03/162.92 ! [T_b,T_a,V_t_2,V_s_2] :
% 163.03/162.92 ( V_s_2 = V_t_2
% 163.03/162.92 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2)
% 163.03/162.92 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_The__split,axiom,
% 163.03/162.92 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fst__eqD,axiom,
% 163.03/162.92 ! [V_a,V_y,V_x,T_b,T_a] :
% 163.03/162.92 ( 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
% 163.03/162.92 => V_x = V_a ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fst__conv,axiom,
% 163.03/162.92 ! [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 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fst__apsnd,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fst__def,axiom,
% 163.03/162.92 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__collapse,axiom,
% 163.03/162.92 ! [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 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_surjective__pairing,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__comp,axiom,
% 163.03/162.92 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod__case__beta,axiom,
% 163.03/162.92 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__int__def,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__beta,axiom,
% 163.03/162.92 ! [V_z_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__comp__eq,axiom,
% 163.03/162.92 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__def,axiom,
% 163.03/162.92 ! [V_p_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_split__paired__The,axiom,
% 163.03/162.92 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_P_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_The__split__eq,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_the__inv__into__def,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fold__def,axiom,
% 163.03/162.92 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__def,axiom,
% 163.03/162.92 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fold1__def,axiom,
% 163.03/162.92 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__neg__pos,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__pos__pos,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_the__elem__def,axiom,
% 163.03/162.92 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__pos__pos__1__number__of,axiom,
% 163.03/162.92 ! [V_w] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => 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))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__pos__neg,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__neg__neg,axiom,
% 163.03/162.92 ! [V_b,V_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.03/162.92 => 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)))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod__size__simp,axiom,
% 163.03/162.92 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,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_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_conjI__realizer,axiom,
% 163.03/162.92 ! [T_b,T_a,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 163.03/162.92 ( hBOOL(hAPP(V_P_2,V_p_2))
% 163.03/162.92 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 163.03/162.92 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2))))
% 163.03/162.92 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_exI__realizer,axiom,
% 163.03/162.92 ! [T_a,T_b,V_x_2,V_y_2,V_P_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_div__nat__def,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_divmod__nat__rel__def,axiom,
% 163.03/162.92 ! [V_qr_2,V_n_2,V_m_2] :
% 163.03/162.92 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 163.03/162.92 <=> ( 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_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 163.03/162.92 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.92 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.03/162.92 => ( 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)))
% 163.03/162.92 & 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_n_2)) ) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 163.03/162.92 & 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))) ) ) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_range,axiom,
% 163.03/162.92 ! [V_s,V_k] :
% 163.03/162.92 ( 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))
% 163.03/162.92 => 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)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_flat__lub__def,axiom,
% 163.03/162.92 ! [V_b_2,V_A_2,T_a] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 163.03/162.92 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 163.03/162.92 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mlex__leq,axiom,
% 163.03/162.92 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mlex__less,axiom,
% 163.03/162.92 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 163.03/162.92 ( 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)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__image_Oreindex,axiom,
% 163.03/162.92 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.03/162.92 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 163.03/162.92 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_prod_Orecs,axiom,
% 163.03/162.92 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__reindex__nonzero,axiom,
% 163.03/162.92 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.92 => ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 163.03/162.92 => ! [B_y] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2))
% 163.03/162.92 => ( B_x != B_y
% 163.03/162.92 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.03/162.92 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) )
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__image_Odistrib,axiom,
% 163.03/162.92 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.03/162.92 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__image_Oeq__fold,axiom,
% 163.03/162.92 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.03/162.92 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_map__add__map__of__foldr,axiom,
% 163.03/162.92 ! [V_ps_2,V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)) = c_List_Ofoldr(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)))))),c_Option_Ooption_OSome(T_b))),V_ps_2,V_m_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_in__lex__prod,axiom,
% 163.03/162.92 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))
% 163.03/162.92 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2))
% 163.03/162.92 | ( V_a_2 = V_a_H_2
% 163.03/162.92 & 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_b_H_2)),V_s_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_in__finite__psubset,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a)))
% 163.03/162.92 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.92 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_same__fstI,axiom,
% 163.03/162.92 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_P_2] :
% 163.03/162.92 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Ounion__idem,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.92 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Oidem__comp,axiom,
% 163.03/162.92 ! [V_x_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 163.03/162.92 ! [V_g_2,V_x_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.92 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_folding__idem_Oinsert__idem,axiom,
% 163.03/162.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__nonneg__0,axiom,
% 163.03/162.92 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] :
% 163.03/162.92 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 163.03/162.92 => ( ! [B_i] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 163.03/162.92 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 163.03/162.92 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_setsum__nonneg__leq__bound,axiom,
% 163.03/162.92 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] :
% 163.03/162.92 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 163.03/162.92 => ( ! [B_i] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 163.03/162.92 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,T_a] : c_Smallcheck_Oorelse(T_a,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,V_y_2,c_Option_Ooption_OSome(T_a)),V_x_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_full__small__int__def,axiom,
% 163.03/162.92 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_small_H_Osimps,axiom,
% 163.03/162.92 ! [V_f_2,V_i_2,V_d_2] :
% 163.03/162.92 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.03/162.92 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.03/162.92 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sum__diff__distrib,axiom,
% 163.03/162.92 ! [V_n_2,V_P_2,V_Q_2] :
% 163.03/162.92 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x)))
% 163.03/162.92 => 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_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_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_n_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_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_small_H_Opsimps,axiom,
% 163.03/162.92 ! [V_i_2,V_d_2,V_f_2] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))))
% 163.03/162.92 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.03/162.92 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 163.03/162.92 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.03/162.92 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_small__int__def,axiom,
% 163.03/162.92 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apfst__apsnd,axiom,
% 163.03/162.92 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apfst__compose,axiom,
% 163.03/162.92 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_snd__apfst,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_fst__apfst,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apfst__eq__conv,axiom,
% 163.03/162.92 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.92 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2)
% 163.03/162.92 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apfst__conv,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apsnd__apfst__commute,axiom,
% 163.03/162.92 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_small__prod__def,axiom,
% 163.03/162.92 ! [V_d_2,V_f_2,T_a,T_b] :
% 163.03/162.92 ( ( class_Smallcheck_Osmall(T_b)
% 163.03/162.92 & class_Smallcheck_Osmall(T_a) )
% 163.03/162.92 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_a,T_b)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_a),hAPP(hAPP(c_COMBC(T_a,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),c_Smallcheck_Osmall__class_Osmall(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b)))),V_d_2)),V_d_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_apsnd__apfst,axiom,
% 163.03/162.92 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_small_H_Opinduct,axiom,
% 163.03/162.92 ! [V_P_2,V_a2_2,V_a1_2,V_a0_2] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2))))
% 163.03/162.92 => ( ! [B_f,B_d,B_i] :
% 163.03/162.92 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))))
% 163.03/162.92 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 163.03/162.92 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),B_i)) ) )
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__lessI2,axiom,
% 163.03/162.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INFI__fold__inf,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__D,axiom,
% 163.03/162.92 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__E,axiom,
% 163.03/162.92 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.03/162.92 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF1__E,axiom,
% 163.03/162.92 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.03/162.92 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.03/162.92 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF1__D,axiom,
% 163.03/162.92 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF2__E,axiom,
% 163.03/162.92 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 163.03/162.92 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 163.03/162.92 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF2__D,axiom,
% 163.03/162.92 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_finite__INT,axiom,
% 163.03/162.92 ! [V_A_2,T_b,V_I_2,T_a] :
% 163.03/162.92 ( ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 163.03/162.92 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) )
% 163.03/162.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__INT__eq2,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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))
% 163.03/162.92 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__iff,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__subset__iff,axiom,
% 163.03/162.92 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__Int__distrib,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I7_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I6_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I7_J,axiom,
% 163.03/162.92 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Un__INT__distrib,axiom,
% 163.03/162.92 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I6_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Un__INT__distrib2,axiom,
% 163.03/162.92 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I5_J,axiom,
% 163.03/162.92 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I5_J,axiom,
% 163.03/162.92 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Pow__INT__eq,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_vimage__INT,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__commute,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INFI__apply,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I8_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I8_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Inter__def,axiom,
% 163.03/162.92 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I10_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I10_J,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_le__INF__iff,axiom,
% 163.03/162.92 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2)))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__less__iff,axiom,
% 163.03/162.92 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 & class_Orderings_Olinorder(T_a) )
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2))
% 163.03/162.92 <=> ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__insert__distrib,axiom,
% 163.03/162.92 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__lower,axiom,
% 163.03/162.92 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__INT__eq,axiom,
% 163.03/162.92 ! [V_x_2,V_r_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 163.03/162.92 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__absorb,axiom,
% 163.03/162.92 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 163.03/162.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__const,axiom,
% 163.03/162.92 ! [V_M_2,T_a,V_A_2,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__constant,axiom,
% 163.03/162.92 ! [V_ca_2,T_b,T_a,V_A_2] :
% 163.03/162.92 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.92 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__empty,axiom,
% 163.03/162.92 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__insert,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__Un,axiom,
% 163.03/162.92 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Un__Inter,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Inter__image__eq,axiom,
% 163.03/162.92 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INTER__eq__Inter__image,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__subset,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I3_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_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_B_2) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I3_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF__leI,axiom,
% 163.03/162.92 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Int__Inter__image,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__greaterThan__UNIV,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__lessI1,axiom,
% 163.03/162.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.03/162.92 => 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)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_inf__INFI__fold__inf,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__leqI2,axiom,
% 163.03/162.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_smin__insertI,axiom,
% 163.03/162.92 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => 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)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_smax__insertI,axiom,
% 163.03/162.92 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => 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)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_smin__emptyI,axiom,
% 163.03/162.92 ! [V_X_2] :
% 163.03/162.92 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.03/162.92 => 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)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_smax__emptyI,axiom,
% 163.03/162.92 ! [V_Y_2] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 163.03/162.92 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.03/162.92 => 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)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF1__iff,axiom,
% 163.03/162.92 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INF2__iff,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__leqI1,axiom,
% 163.03/162.92 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.03/162.92 => 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)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_wmax__insertI,axiom,
% 163.03/162.92 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => 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)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_wmin__insertI,axiom,
% 163.03/162.92 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => ( 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))
% 163.03/162.92 => 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)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_wmin__emptyI,axiom,
% 163.03/162.92 ! [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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_wmax__emptyI,axiom,
% 163.03/162.92 ! [V_X_2] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 163.03/162.92 => 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)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__weak__def,axiom,
% 163.03/162.92 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)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__weak__def,axiom,
% 163.03/162.92 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)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__rpair__set,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__strict__def,axiom,
% 163.03/162.92 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__ext__additive,axiom,
% 163.03/162.92 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_min__strict__def,axiom,
% 163.03/162.92 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__rpair__set,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_max__extp__max__ext__eq,axiom,
% 163.03/162.92 ! [V_xa_2,V_x_2,V_R_2,T_a] :
% 163.03/162.92 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2)
% 163.03/162.92 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__than__iff,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2] :
% 163.03/162.92 ( 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))
% 163.03/162.92 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_intrel__iff,axiom,
% 163.03/162.92 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.03/162.92 ( 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))
% 163.03/162.92 <=> 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) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_pair__less__def,axiom,
% 163.03/162.92 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mlex__prod__def,axiom,
% 163.03/162.92 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_image__INT,axiom,
% 163.03/162.92 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] :
% 163.03/162.92 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 163.03/162.92 => ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2))
% 163.03/162.92 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,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_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_rp__inv__image__rp,axiom,
% 163.03/162.92 ! [V_f_2,T_b,V_P_2,T_a] :
% 163.03/162.92 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 163.03/162.92 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_P_2),V_f_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_rp__inv__image__def,axiom,
% 163.03/162.92 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(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_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),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)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_in__inv__image,axiom,
% 163.03/162.92 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2)))
% 163.03/162.92 <=> 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,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUPR__fold__sup,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_strong__setprod__reindex__cong,axiom,
% 163.03/162.92 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.92 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.03/162.92 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.92 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 163.03/162.92 => ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) )
% 163.03/162.92 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__I,axiom,
% 163.03/162.92 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP1__I,axiom,
% 163.03/162.92 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP2__I,axiom,
% 163.03/162.92 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__UN__eq2,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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))
% 163.03/162.92 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UNION__empty__conv_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__constant,axiom,
% 163.03/162.92 ! [V_ca_2,T_b,T_a,V_A_2] :
% 163.03/162.92 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.92 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__empty2,axiom,
% 163.03/162.92 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UNION__empty__conv_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__Un,axiom,
% 163.03/162.92 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__Un__distrib,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__iff,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 <=> ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I9_J,axiom,
% 163.03/162.92 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),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_C_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I9_J,axiom,
% 163.03/162.92 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__Pow__subset,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__subset__iff,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I5_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I4_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I5_J,axiom,
% 163.03/162.92 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Int__UN__distrib,axiom,
% 163.03/162.92 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I4_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Int__UN__distrib2,axiom,
% 163.03/162.92 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I6_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I6_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_vimage__UN,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__commute,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUPR__apply,axiom,
% 163.03/162.92 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I8_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I8_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Union__def,axiom,
% 163.03/162.92 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I10_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_image__UN,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I10_J,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__o,axiom,
% 163.03/162.92 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_finite__UN,axiom,
% 163.03/162.92 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__le__iff,axiom,
% 163.03/162.92 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2))
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_less__SUP__iff,axiom,
% 163.03/162.92 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] :
% 163.03/162.92 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.92 & class_Orderings_Olinorder(T_a) )
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2)))
% 163.03/162.92 <=> ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__const,axiom,
% 163.03/162.92 ! [V_M_2,T_a,V_A_2,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__insert__distrib,axiom,
% 163.03/162.92 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__upper,axiom,
% 163.03/162.92 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__UN__eq,axiom,
% 163.03/162.92 ! [V_x_2,V_r_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 163.03/162.92 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__absorb,axiom,
% 163.03/162.92 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 163.03/162.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_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))) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__singleton,axiom,
% 163.03/162.92 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I1_J,axiom,
% 163.03/162.92 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I3_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I2_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I3_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__insert,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I7_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I7_J,axiom,
% 163.03/162.92 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_image__Union,axiom,
% 163.03/162.92 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),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_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Int__Union,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Int__Union2,axiom,
% 163.03/162.92 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Compl__UN,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Compl__INT,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_vimage__Union,axiom,
% 163.03/162.92 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UNION__eq__Union__image,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Union__image__eq,axiom,
% 163.03/162.92 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__lessThan__UNIV,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__atMost__UNIV,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__atLeast__UNIV,axiom,
% 163.03/162.92 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)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP__subset,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_image__eq__UN,axiom,
% 163.03/162.92 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__extend__simps_I4_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_vimage__eq__UN,axiom,
% 163.03/162.92 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,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))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__UN__finite__eq,axiom,
% 163.03/162.92 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_le__SUPI,axiom,
% 163.03/162.92 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Un__Union__image,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__le__add__shift,axiom,
% 163.03/162.92 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,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_a,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_n_2),V_k_2))),V_M_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_INT__simps_I4_J,axiom,
% 163.03/162.92 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 163.03/162.92 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(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)) )
% 163.03/162.92 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_sup__SUPR__fold__sup,axiom,
% 163.03/162.92 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 163.03/162.92 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.03/162.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.92 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__le__eq__Un0,axiom,
% 163.03/162.92 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_measure__def,axiom,
% 163.03/162.92 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_irrefl__def,axiom,
% 163.03/162.92 ! [V_r_2,T_a] :
% 163.03/162.92 ( c_Relation_Oirrefl(T_a,V_r_2)
% 163.03/162.92 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_nat__def,axiom,
% 163.03/162.92 ! [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)))))) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Field__insert,axiom,
% 163.03/162.92 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP1__iff,axiom,
% 163.03/162.92 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 163.03/162.92 <=> ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_SUP2__iff,axiom,
% 163.03/162.92 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 163.03/162.92 <=> ? [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.92 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__extend__simps_I9_J,axiom,
% 163.03/162.92 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),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_C_2) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__simps_I9_J,axiom,
% 163.03/162.92 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__UN__flatten,axiom,
% 163.03/162.92 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_ball__UN,axiom,
% 163.03/162.92 ! [V_P_2,V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.92 ( ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 163.03/162.92 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.92 <=> ! [B_x] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.92 => ! [B_xa] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x)))
% 163.03/162.92 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Field__Union,axiom,
% 163.03/162.92 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Rep__Integ__inject,axiom,
% 163.03/162.92 ! [V_y_2,V_x_2] :
% 163.03/162.92 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 163.03/162.92 <=> V_x_2 = V_y_2 ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Field__empty,axiom,
% 163.03/162.92 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_mono__Field,axiom,
% 163.03/162.92 ! [V_s_2,V_r_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Field__Un,axiom,
% 163.03/162.92 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_finite__Field,axiom,
% 163.03/162.92 ! [V_r_2,T_a] :
% 163.03/162.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 163.03/162.92 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__finite2__subset,axiom,
% 163.03/162.92 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 163.03/162.92 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__finite2__eq,axiom,
% 163.03/162.92 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 163.03/162.92 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)
% 163.03/162.92 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_UN__finite__subset,axiom,
% 163.03/162.92 ! [V_C_2,V_A_2,T_a] :
% 163.03/162.92 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))
% 163.03/162.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 163.03/162.92
% 163.03/162.92 fof(fact_Id__on__def,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__mapk__SomeI,axiom,
% 163.03/162.93 ! [V_x_2,V_k_2,V_t_2,T_c,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.93 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_c),V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2)
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,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_a),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__intrel__iff,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2] :
% 163.03/162.93 ( 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))))
% 163.03/162.93 <=> 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)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__mapI,axiom,
% 163.03/162.93 ! [V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.93 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__empty,axiom,
% 163.03/162.93 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__Un,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__Id__on,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__map,axiom,
% 163.03/162.93 ! [V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 163.03/162.93 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__map__eq__map,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.93 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 163.03/162.93 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__mapD,axiom,
% 163.03/162.93 ! [V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 163.03/162.93 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__injective,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 163.03/162.93 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.03/162.93 => V_xs_2 = V_ys_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__ident,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_List_Omap_Ocomp,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__comp__map,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_List_Omap_Ocompositionality,axiom,
% 163.03/162.93 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__UN,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__Int__subset,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_foldr__map,axiom,
% 163.03/162.93 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__mono,axiom,
% 163.03/162.93 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Un__Image,axiom,
% 163.03/162.93 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Id__on__def_H,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__INT__subset,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_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))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__iff,axiom,
% 163.03/162.93 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 163.03/162.93 <=> ? [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_rev__ImageI,axiom,
% 163.03/162.93 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Id__on__empty,axiom,
% 163.03/162.93 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__eq__UN,axiom,
% 163.03/162.93 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Id__on__eqI,axiom,
% 163.03/162.93 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 163.03/162.93 ( V_a_2 = V_b_2
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Id__on__iff,axiom,
% 163.03/162.93 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2)))
% 163.03/162.93 <=> ( V_x_2 = V_y_2
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__singleton__iff,axiom,
% 163.03/162.93 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,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))))))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_of__int,axiom,
% 163.03/162.93 ! [V_j_2,V_i_2,T_a] :
% 163.03/162.93 ( class_Rings_Oring__1(T_a)
% 163.03/162.93 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_One__int__def,axiom,
% 163.03/162.93 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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_mult,axiom,
% 163.03/162.93 ! [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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Rep__Integ__inverse,axiom,
% 163.03/162.93 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_infinite__UNIV__listI,axiom,
% 163.03/162.93 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_minus,axiom,
% 163.03/162.93 ! [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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Zero__int__def,axiom,
% 163.03/162.93 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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_int__def,axiom,
% 163.03/162.93 ! [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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_add,axiom,
% 163.03/162.93 ! [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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_minus__int__def,axiom,
% 163.03/162.93 ! [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))))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_less,axiom,
% 163.03/162.93 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.03/162.93 ( 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)))))))
% 163.03/162.93 <=> 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))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_le,axiom,
% 163.03/162.93 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.03/162.93 ( 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)))))))
% 163.03/162.93 <=> 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))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_eq__Abs__Integ,axiom,
% 163.03/162.93 ! [V_z_2] :
% 163.03/162.93 ~ ! [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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__def,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Map_Omap__of(T_a,T_c),V_xs_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__o__empty,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),T_c,hAPP(c_Option_Omap(T_b,T_a),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__comp,axiom,
% 163.03/162.93 ! [V_opt_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_opt_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Option_Omap_Ocompositionality,axiom,
% 163.03/162.93 ! [V_option_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_option_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Option_Omap_Ocomp,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Option_Omap(T_a,T_c),V_g_2)) = hAPP(c_Option_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__option__map,axiom,
% 163.03/162.93 ! [V_m_2,V_f_2,T_c,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),T_a),c_Option_Omap(T_c,T_b)),V_f_2)),V_m_2)) = c_Map_Odom(T_a,T_c,V_m_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__Some,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f_2,V_x_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__eq__Some,axiom,
% 163.03/162.93 ! [V_y_2,V_xo_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 163.03/162.93 <=> ? [B_z] :
% 163.03/162.93 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),B_z)
% 163.03/162.93 & hAPP(V_f_2,B_z) = V_y_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__is__None,axiom,
% 163.03/162.93 ! [V_opt_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_a)
% 163.03/162.93 <=> V_opt_2 = c_Option_Ooption_ONone(T_b) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__None,axiom,
% 163.03/162.93 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__empty,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__is__empty2,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)
% 163.03/162.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__is__empty,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 163.03/162.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_option__map__o__map__upd,axiom,
% 163.03/162.93 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_b_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__diff1,axiom,
% 163.03/162.93 ! [V_a_2,V_A_2,V_r_2,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotientI,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_singleton__quotient,axiom,
% 163.03/162.93 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__quotient__disjoint,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 163.03/162.93 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Option_Omap__def,axiom,
% 163.03/162.93 ! [V_f_2,T_b,T_a] : hAPP(c_Option_Omap(T_a,T_b),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_a,c_Option_Ooption_ONone(T_b),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__class__nondisjoint,axiom,
% 163.03/162.93 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_subset__equiv__class,axiom,
% 163.03/162.93 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotientE,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,V_X_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ~ ! [B_x] :
% 163.03/162.93 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__intrel,axiom,
% 163.03/162.93 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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Union__quotient,axiom,
% 163.03/162.93 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__class__self,axiom,
% 163.03/162.93 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__disj,axiom,
% 163.03/162.93 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( V_X_2 = V_Y_2
% 163.03/162.93 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__class__eq,axiom,
% 163.03/162.93 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.03/162.93 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__eqI,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_quotient__eq__iff,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 163.03/162.93 => ( V_X_2 = V_Y_2
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_eq__equiv__class__iff,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 163.03/162.93 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_eq__equiv__class,axiom,
% 163.03/162.93 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] :
% 163.03/162.93 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__class__eq__iff,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equiv__class__subset,axiom,
% 163.03/162.93 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_eq__equiv__class__iff2,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 163.03/162.93 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UN__equiv__class,axiom,
% 163.03/162.93 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UN__equiv__class2,axiom,
% 163.03/162.93 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 163.03/162.93 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2))
% 163.03/162.93 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__map__restrict,axiom,
% 163.03/162.93 ! [V_ks_2,V_f_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_a,T_b,hAPP(c_Fun_Ocomp(T_b,tc_Option_Ooption(T_b),T_a,c_Option_Ooption_OSome(T_b)),V_f_2),hAPP(c_List_Oset(T_a),V_ks_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__set,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__eq__conv,axiom,
% 163.03/162.93 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)
% 163.03/162.93 <=> ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.03/162.93 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_congruent2__implies__congruent,axiom,
% 163.03/162.93 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__inj__on,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 163.03/162.93 => ( c_Fun_Oinj__on(T_b,T_a,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)))
% 163.03/162.93 => V_xs_2 = V_ys_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__on__map__eq__map,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 163.03/162.93 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 163.03/162.93 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__fun__upd,axiom,
% 163.03/162.93 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Omap(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__eq__dom,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 163.03/162.93 ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 163.03/162.93 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__SomeD,axiom,
% 163.03/162.93 ! [V_y_2,V_k_2,V_xs_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__is__SomeD,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_xys_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__map__of__conv__image__fst,axiom,
% 163.03/162.93 ! [V_xys_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__on__mapI,axiom,
% 163.03/162.93 ! [V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2)))
% 163.03/162.93 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_congruent2D,axiom,
% 163.03/162.93 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2))
% 163.03/162.93 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__eq__None__iff,axiom,
% 163.03/162.93 ! [V_x_2,V_xys_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_a)
% 163.03/162.93 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_congruentD,axiom,
% 163.03/162.93 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2))
% 163.03/162.93 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__map__keys,axiom,
% 163.03/162.93 ! [V_m_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Map_Odom(T_a,T_b,V_m_2)
% 163.03/162.93 => hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),T_b,T_a),c_Option_Othe(T_b)),V_m_2))),V_xs_2)) = V_m_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_congruent2__implies__congruent__UN,axiom,
% 163.03/162.93 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 163.03/162.93 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2))
% 163.03/162.93 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_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)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UN__equiv__class__inject,axiom,
% 163.03/162.93 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 163.03/162.93 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.93 => ! [B_y] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 163.03/162.93 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) )
% 163.03/162.93 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UN__equiv__class__type2,axiom,
% 163.03/162.93 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 163.03/162.93 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2)))
% 163.03/162.93 => ( ! [B_x1] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2))
% 163.03/162.93 => ! [B_x2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UN__equiv__class__type,axiom,
% 163.03/162.93 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.93 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.93 => ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_ran__distinct,axiom,
% 163.03/162.93 ! [V_al_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_al_2)))
% 163.03/162.93 => c_Map_Oran(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_al_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Integ__def,axiom,
% 163.03/162.93 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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__is__SomeI,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)))
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 163.03/162.93 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.03/162.93 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Rep__Integ,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__inject__set,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2)))
% 163.03/162.93 => ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 163.03/162.93 <=> hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Some__eq__map__of__iff,axiom,
% 163.03/162.93 ! [V_x_2,V_y_2,V_xys_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 163.03/162.93 => ( hAPP(c_Option_Ooption_OSome(T_b),V_y_2) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2)
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__eq__Some__iff,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 163.03/162.93 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__map__of__compr,axiom,
% 163.03/162.93 ! [V_xs_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 163.03/162.93 => hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)))),c_Option_Ooption_OSome(T_b)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_greaterThanLessThan__upto,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_weak__map__of__SomeI,axiom,
% 163.03/162.93 ! [V_l_2,V_x_2,V_k_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_l_2)))
% 163.03/162.93 => ? [B_x] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_x) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_CollectI,axiom,
% 163.03/162.93 ! [T_a,V_a_2,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__conjI,axiom,
% 163.03/162.93 ! [V_Q_2,V_P_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) )
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__upto,axiom,
% 163.03/162.93 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_UNIV__def,axiom,
% 163.03/162.93 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__disjI,axiom,
% 163.03/162.93 ! [V_Q_2,V_P_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2))))
% 163.03/162.93 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insert__Collect,axiom,
% 163.03/162.93 ! [V_P_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_empty__def,axiom,
% 163.03/162.93 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__empty__eq,axiom,
% 163.03/162.93 ! [V_P_2,T_a] :
% 163.03/162.93 ( hAPP(c_Set_OCollect(T_a),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_empty__Collect__eq,axiom,
% 163.03/162.93 ! [V_P_2,T_a] :
% 163.03/162.93 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_P_2)
% 163.03/162.93 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__disj__eq,axiom,
% 163.03/162.93 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__mem__eq,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_mem__Collect__eq,axiom,
% 163.03/162.93 ! [V_P_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_CollectD,axiom,
% 163.03/162.93 ! [V_P_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_CollectE,axiom,
% 163.03/162.93 ! [V_P_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__conj__eq,axiom,
% 163.03/162.93 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_vimage__Collect__eq,axiom,
% 163.03/162.93 ! [V_P_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_P_2),V_f_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__neg__eq,axiom,
% 163.03/162.93 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__def,axiom,
% 163.03/162.93 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__upto,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_atLeastAtMost__upto,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insert__compr__raw,axiom,
% 163.03/162.93 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insert__compr,axiom,
% 163.03/162.93 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Un__def,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Int__Collect,axiom,
% 163.03/162.93 ! [V_P_2,V_A_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))))
% 163.03/162.93 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Int__def,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__conv__if,axiom,
% 163.03/162.93 ! [T_a,V_a_2,V_P_2] :
% 163.03/162.93 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.03/162.93 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 163.03/162.93 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__conv__if2,axiom,
% 163.03/162.93 ! [T_a,V_a_2,V_P_2] :
% 163.03/162.93 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.03/162.93 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 163.03/162.93 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_singleton__conv,axiom,
% 163.03/162.93 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_singleton__conv2,axiom,
% 163.03/162.93 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__diff__eq,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__not,axiom,
% 163.03/162.93 ! [V_P_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))))
% 163.03/162.93 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insert__def,axiom,
% 163.03/162.93 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Compl__eq,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_vimage__def,axiom,
% 163.03/162.93 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__imp__eq,axiom,
% 163.03/162.93 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__def,axiom,
% 163.03/162.93 ! [V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_b)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__setsum__restrict,axiom,
% 163.03/162.93 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inj__graph,axiom,
% 163.03/162.93 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_if__image__distrib,axiom,
% 163.03/162.93 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__all__eq,axiom,
% 163.03/162.93 ! [V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),V_P_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__if,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,V_P_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_a),c_If(tc_Option_Ooption(T_b))),V_P_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_g_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__psubset__def,axiom,
% 163.03/162.93 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__restrict__set_H,axiom,
% 163.03/162.93 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__image__gen,axiom,
% 163.03/162.93 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inv__image__def,axiom,
% 163.03/162.93 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,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_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),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_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_atLeastLessThan__upto,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Image__singleton,axiom,
% 163.03/162.93 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,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_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__cases,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),V_P_2)),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_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_greaterThanAtMost__upto,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nitpick_Oprod__def,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_int__ge__less__than__def,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_int__ge__less__than2__def,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__less__nat,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__le__nat,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__subsets,axiom,
% 163.03/162.93 ! [V_A_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 163.03/162.93 ! [V_P_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_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_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 163.03/162.93 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_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_P_2),c_Int_Onat)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Pow__def,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__M__bounded__by__nat,axiom,
% 163.03/162.93 ! [V_i_2,V_P_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_P_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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 163.03/162.93 ! [V_P_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_P_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__seg__image__imp__finite,axiom,
% 163.03/162.93 ! [V_n_2,V_f_2,T_a,V_A_2] :
% 163.03/162.93 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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_n_2)))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__less__Suc2,axiom,
% 163.03/162.93 ! [V_i_2,V_M_2] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.03/162.93 => 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))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__less,axiom,
% 163.03/162.93 ! [V_i_2,V_M_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.03/162.93 => 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) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__less__Suc,axiom,
% 163.03/162.93 ! [V_i_2,V_M_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.03/162.93 => 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))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__override__on,axiom,
% 163.03/162.93 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Fun_Ooverride__on(T_a,tc_Option_Ooption(T_b),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2)))))),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__list__def,axiom,
% 163.03/162.93 ! [V_l_2] :
% 163.03/162.93 ( c_List_Onat__list(V_l_2)
% 163.03/162.93 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__multicount,axiom,
% 163.03/162.93 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.03/162.93 => ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2))
% 163.03/162.93 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_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_b),V_T_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_override__on__apply__notin,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_override__on__apply__in,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_override__on__emptyset,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_b,T_a] : c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_f_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_override__on__def,axiom,
% 163.03/162.93 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.93 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__image__set,axiom,
% 163.03/162.93 ! [V_f_2,T_b,V_P_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,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_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__Collect__bounded__ex,axiom,
% 163.03/162.93 ! [V_Q_2,T_b,V_P_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2)))))
% 163.03/162.93 <=> ! [B_y] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,B_y))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_ran__def,axiom,
% 163.03/162.93 ! [V_m_2,T_a,T_b] : c_Map_Oran(T_b,T_a,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_a)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Pow__Compl,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_add__Max__commute,axiom,
% 163.03/162.93 ! [V_k_2,V_N_2,T_a] :
% 163.03/162.93 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.93 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_add__Min__commute,axiom,
% 163.03/162.93 ! [V_k_2,V_N_2,T_a] :
% 163.03/162.93 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 163.03/162.93 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sup__Inf2__distrib,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Lattices_Odistrib__lattice(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sup__Inf1__distrib,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Lattices_Odistrib__lattice(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inf__Sup2__distrib,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Lattices_Odistrib__lattice(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 163.03/162.93 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_inf__Sup1__distrib,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Lattices_Odistrib__lattice(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__multicount__gen,axiom,
% 163.03/162.93 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2))
% 163.03/162.93 => ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2))
% 163.03/162.93 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equivp__equiv,axiom,
% 163.03/162.93 ! [V_A_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2)
% 163.03/162.93 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Id__onE,axiom,
% 163.03/162.93 ! [V_A_2,V_ca_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_ca_2),c_Relation_OId__on(T_a,V_A_2)))
% 163.03/162.93 => ~ ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.93 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_identity__equivp,axiom,
% 163.03/162.93 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equivp__def,axiom,
% 163.03/162.93 ! [V_R_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 163.03/162.93 <=> ! [B_x,B_y] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 163.03/162.93 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equivp__reflp,axiom,
% 163.03/162.93 ! [V_x_2,V_R_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equivp__symp,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_R_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_equivp__transp,axiom,
% 163.03/162.93 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition__Integ,axiom,
% 163.03/162.93 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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__remove1__eq,axiom,
% 163.03/162.93 ! [V_x_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1__commute,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__remove1,axiom,
% 163.03/162.93 ! [V_x,V_xs,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_in__set__remove1,axiom,
% 163.03/162.93 ! [V_xs_2,T_a,V_b_2,V_a_2] :
% 163.03/162.93 ( V_a_2 != V_b_2
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2))))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_notin__set__remove1,axiom,
% 163.03/162.93 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1__idem,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__remove1__subset,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_OAbs__image,axiom,
% 163.03/162.93 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_ORep__range,axiom,
% 163.03/162.93 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_ORep__inject,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 163.03/162.93 <=> V_x_2 = V_y_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_ORep__inverse,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_OAbs__inject,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.03/162.93 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 163.03/162.93 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_OAbs__inverse,axiom,
% 163.03/162.93 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.03/162.93 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition_ORep,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 163.03/162.93 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sorted__list__of__set__remove,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_ImageE,axiom,
% 163.03/162.93 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 163.03/162.93 => ~ ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sorted__list__of__set__insert,axiom,
% 163.03/162.93 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__zip__map,axiom,
% 163.03/162.93 ! [V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1__insort,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__zipI1,axiom,
% 163.03/162.93 ! [V_ys,T_b,V_xs,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__zipI2,axiom,
% 163.03/162.93 ! [V_xs,T_b,V_ys,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_fun__left__comm__insort,axiom,
% 163.03/162.93 ! [T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__left__comm,axiom,
% 163.03/162.93 ! [V_xs_2,V_y_2,V_x_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__key__left__comm,axiom,
% 163.03/162.93 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__insort,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__same__conv__map,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__map__fst__snd,axiom,
% 163.03/162.93 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__insort,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)))
% 163.03/162.93 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__zip__map,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__zip__map2,axiom,
% 163.03/162.93 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__same,axiom,
% 163.03/162.93 ! [V_xs_2,V_b_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2))))
% 163.03/162.93 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 & V_a_2 = V_b_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__zip__leftD,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__zip__rightD,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_in__set__zipE,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 163.03/162.93 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__map__map,axiom,
% 163.03/162.93 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__map1,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__map2,axiom,
% 163.03/162.93 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__insert__insort__key,axiom,
% 163.03/162.93 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 163.03/162.93 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__insert__insort,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__insort__insert,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__insert__triv,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__insort__insert,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__insert__key__triv,axiom,
% 163.03/162.93 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 163.03/162.93 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__zip__upd,axiom,
% 163.03/162.93 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.03/162.93 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.03/162.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.03/162.93 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_z_2))
% 163.03/162.93 => hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__removeAll__inj__on,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__removeAll,axiom,
% 163.03/162.93 ! [V_x,V_xs,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__eq__imp__length__eq,axiom,
% 163.03/162.93 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2)
% 163.03/162.93 => 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) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_neq__if__length__neq,axiom,
% 163.03/162.93 ! [V_ys,V_xs,T_a] :
% 163.03/162.93 ( 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)
% 163.03/162.93 => V_xs != V_ys ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__insort,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__zip,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__length,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_removeAll__id,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__card,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_card__distinct,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__zip__inject,axiom,
% 163.03/162.93 ! [V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.03/162.93 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.03/162.93 => ( hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))
% 163.03/162.93 => V_ys_2 = V_zs_2 ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__fst__zip,axiom,
% 163.03/162.93 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__snd__zip,axiom,
% 163.03/162.93 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__remove1__removeAll,axiom,
% 163.03/162.93 ! [V_x,V_xs,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.93 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__pos__if__in__set,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => 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_a)),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__eq__conv,axiom,
% 163.03/162.93 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2
% 163.03/162.93 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2
% 163.03/162.93 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__removeAll__inj,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.03/162.93 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__lists__length__eq,axiom,
% 163.03/162.93 ! [V_n_2,V_A_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__zip__is__None,axiom,
% 163.03/162.93 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_b)
% 163.03/162.93 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__zip__is__Some,axiom,
% 163.03/162.93 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 <=> ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__remove1,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,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_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_dom__map__of__zip,axiom,
% 163.03/162.93 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_a),V_xs_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_finite__lists__length__le,axiom,
% 163.03/162.93 ! [V_n_2,V_A_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__removeAll,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__sublist,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,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_a)),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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__zip,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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)),tc_prod(T_a,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)),tc_prod(T_a,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(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__eq__iff__nth__eq,axiom,
% 163.03/162.93 ! [T_a,V_ys_2,V_xs_2] :
% 163.03/162.93 ( V_xs_2 = V_ys_2
% 163.03/162.93 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 163.03/162.93 & ! [B_i] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__zip,axiom,
% 163.03/162.93 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => ( 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)))
% 163.03/162.93 => 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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__sublistI,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_all__set__conv__all__nth,axiom,
% 163.03/162.93 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.93 ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.93 <=> ! [B_i] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__map,axiom,
% 163.03/162.93 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__conv__nth,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 <=> ! [B_i] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => ! [B_j] :
% 163.03/162.93 ( 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_2)))
% 163.03/162.93 => ( B_i != B_j
% 163.03/162.93 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__eq__iff__index__eq,axiom,
% 163.03/162.93 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2)
% 163.03/162.93 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__sublist,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),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))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_notin__set__sublistI,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_in__set__sublistD,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__sublist__subset,axiom,
% 163.03/162.93 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_in__set__conv__nth,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 <=> ? [B_i] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__mem,axiom,
% 163.03/162.93 ! [V_xs_2,T_a,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__conv__nth,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__list__update,axiom,
% 163.03/162.93 ! [V_i_2,V_a_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 163.03/162.93 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__setsum__nth,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__list__update,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__update__nat,axiom,
% 163.03/162.93 ! [V_n,V_ns,V_k] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => 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)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__list__update__neq,axiom,
% 163.03/162.93 ! [V_x,V_xs,T_a,V_j,V_i] :
% 163.03/162.93 ( V_i != V_j
% 163.03/162.93 => 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) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__id,axiom,
% 163.03/162.93 ! [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 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__update,axiom,
% 163.03/162.93 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__overwrite,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__swap,axiom,
% 163.03/162.93 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 163.03/162.93 ( V_i != V_i_H
% 163.03/162.93 => 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) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 163.03/162.93 ! [V_ns_2] :
% 163.03/162.93 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 <=> ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.03/162.93 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__update,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_update__zip,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__beyond,axiom,
% 163.03/162.93 ! [V_x,V_i,V_xs,T_a] :
% 163.03/162.93 ( 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))
% 163.03/162.93 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_elem__le__listsum__nat,axiom,
% 163.03/162.93 ! [V_ns,V_k] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => 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))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__0,axiom,
% 163.03/162.93 ! [V_xs_2,T_b,T_a] :
% 163.03/162.93 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__addf,axiom,
% 163.03/162.93 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__mult__const,axiom,
% 163.03/162.93 ! [V_xs_2,V_ca_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( class_Rings_Osemiring__0(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_ca_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__const__mult,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,V_ca_2,T_b,T_a] :
% 163.03/162.93 ( class_Rings_Osemiring__0(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__subtractf,axiom,
% 163.03/162.93 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__update__subsetI,axiom,
% 163.03/162.93 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__update__subset__insert,axiom,
% 163.03/162.93 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__list__update,axiom,
% 163.03/162.93 ! [V_x,V_j,V_xs,T_a,V_i] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => ( ( V_i = V_j
% 163.03/162.93 => 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 )
% 163.03/162.93 & ( V_i != V_j
% 163.03/162.93 => 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) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__same__conv,axiom,
% 163.03/162.93 ! [V_x_2,V_xs_2,T_a,V_i_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 163.03/162.93 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__list__update__eq,axiom,
% 163.03/162.93 ! [V_x,V_xs,T_a,V_i] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => 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 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__abs,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_uminus__listsum__map,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( class_Groups_Oab__group__add(T_a)
% 163.03/162.93 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__update__memI,axiom,
% 163.03/162.93 ! [V_x_2,V_xs_2,T_a,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 163.03/162.93 ! [V_f_2,V_xs_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 163.03/162.93 ! [V_l_2,V_k_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 163.03/162.93 ! [V_j_2,V_i_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.93 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__triv,axiom,
% 163.03/162.93 ! [V_xs_2,V_r_2,T_b,T_a] :
% 163.03/162.93 ( class_Rings_Osemiring__1(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__map__remove1,axiom,
% 163.03/162.93 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select__weight__member,axiom,
% 163.03/162.93 ! [V_s_2,V_xs_2,T_a] :
% 163.03/162.93 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_pick__member,axiom,
% 163.03/162.93 ! [V_xs_2,T_a,V_i_2] :
% 163.03/162.93 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select__weight__def,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,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_a,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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_pick__same,axiom,
% 163.03/162.93 ! [V_xs_2,T_a,V_l_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),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_a),V_xs_2),V_l_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_scomp__apply,axiom,
% 163.03/162.93 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_scomp__scomp,axiom,
% 163.03/162.93 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 163.03/162.93 ! [V_m_2,V_n_2] :
% 163.03/162.93 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 163.03/162.93 <=> V_n_2 = V_m_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 163.03/162.93 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_times__code__numeral__code,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_scomp__Pair,axiom,
% 163.03/162.93 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Pair__scomp,axiom,
% 163.03/162.93 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zero__code__numeral__def,axiom,
% 163.03/162.93 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_scomp__def,axiom,
% 163.03/162.93 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_one__code__numeral__def,axiom,
% 163.03/162.93 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_less__code__numeral__code,axiom,
% 163.03/162.93 ! [V_m_2,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.03/162.93 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 163.03/162.93 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_number__of__code__numeral__def,axiom,
% 163.03/162.93 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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_plus__code__numeral__code,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_less__eq__code__numeral__code,axiom,
% 163.03/162.93 ! [V_m_2,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_subtract__code__numeral__code,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_code__numeral__not__eq__zero,axiom,
% 163.03/162.93 ! [V_i_2] :
% 163.03/162.93 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.03/162.93 <=> 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)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_scomp__unfold,axiom,
% 163.03/162.93 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_iterate_Osimps,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 163.03/162.93 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.93 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) )
% 163.03/162.93 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.93 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 163.03/162.93 ! [V_f_2,V_A_2,T_a,T_b] :
% 163.03/162.93 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.93 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_someI,axiom,
% 163.03/162.93 ! [T_a,V_x_2,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_tfl__some,axiom,
% 163.03/162.93 ! [T_a,B_P] :
% 163.03/162.93 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 163.03/162.93 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_someI__ex,axiom,
% 163.03/162.93 ! [T_a,V_P_2] :
% 163.03/162.93 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_some__eq__ex,axiom,
% 163.03/162.93 ! [T_a,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2)))
% 163.03/162.93 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_some__eq__trivial,axiom,
% 163.03/162.93 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_some__sym__eq__trivial,axiom,
% 163.03/162.93 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_exE__some,axiom,
% 163.03/162.93 ! [T_a,V_ca_2,V_P_2] :
% 163.03/162.93 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.93 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_a,V_P_2)
% 163.03/162.93 => hBOOL(hAPP(V_P_2,V_ca_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nitpick_Ocard_H__def,axiom,
% 163.03/162.93 ! [V_A_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.93 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_LeastM__def,axiom,
% 163.03/162.93 ! [V_P_2,V_m_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Oord(T_b)
% 163.03/162.93 => c_Hilbert__Choice_OLeastM(T_a,T_b,V_m_2,V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_LeastM__nat__lemma,axiom,
% 163.03/162.93 ! [V_m_2,T_a,V_k_2,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,V_k_2))
% 163.03/162.93 => ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2)))
% 163.03/162.93 & ! [B_y] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,B_y))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,B_y))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_LeastM__nat__le,axiom,
% 163.03/162.93 ! [T_a,V_m_2,V_x_2,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,V_x_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_split__paired__Eps,axiom,
% 163.03/162.93 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Eps__split__eq,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Eps__split,axiom,
% 163.03/162.93 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_GreatestM__def,axiom,
% 163.03/162.93 ! [V_P_2,V_m_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Oord(T_b)
% 163.03/162.93 => hAPP(c_Hilbert__Choice_OGreatestM(T_a,T_b,V_m_2),V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select__def,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,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_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_LeastM__natI,axiom,
% 163.03/162.93 ! [V_m_2,T_a,V_k_2,V_P_2] :
% 163.03/162.93 ( hBOOL(hAPP(V_P_2,V_k_2))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of__of__nat,axiom,
% 163.03/162.93 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 163.03/162.93
% 163.03/162.93 fof(fact_of__nat__nat__of,axiom,
% 163.03/162.93 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of__inverse,axiom,
% 163.03/162.93 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 163.03/162.93
% 163.03/162.93 fof(fact_code__numeral_Onat__of__inject,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2] :
% 163.03/162.93 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 163.03/162.93 <=> V_x_2 = V_y_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 163.03/162.93 ! [V_l_2,V_k_2] :
% 163.03/162.93 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 163.03/162.93 <=> V_k_2 = V_l_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_type__definition__code__numeral,axiom,
% 163.03/162.93 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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_less__code__numeral__def,axiom,
% 163.03/162.93 ! [V_m_2,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of,axiom,
% 163.03/162.93 ! [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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of__number,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_int__of__def,axiom,
% 163.03/162.93 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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_less__eq__code__numeral__def,axiom,
% 163.03/162.93 ! [V_m_2,V_n_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of__code,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nat__of__aux__def,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Suc__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_minus__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_of__nat__inverse,axiom,
% 163.03/162.93 ! [V_y_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.03/162.93 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_plus__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_div__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_times__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_mod__code__numeral__def,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_code__numeral__decr,axiom,
% 163.03/162.93 ! [V_k] :
% 163.03/162.93 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.03/162.93 => 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))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select__weigth__select,axiom,
% 163.03/162.93 ! [T_a,V_xs_2] :
% 163.03/162.93 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Greatest__def,axiom,
% 163.03/162.93 ! [T_a] :
% 163.03/162.93 ( class_Orderings_Oord(T_a)
% 163.03/162.93 => c_Hilbert__Choice_OGreatest(T_a) = c_Hilbert__Choice_OGreatestM(T_a,T_a,c_COMBI(T_a)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__nonempty,axiom,
% 163.03/162.93 ! [V_x_2,V_k_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update_Osimps_I1_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__code_I1_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__simps_I1_J,axiom,
% 163.03/162.93 ! [T_a] :
% 163.03/162.93 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.93 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 163.03/162.93 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__empty2,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__empty,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__0__conv,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osize_I3_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sublist__nil,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct_Osimps_I1_J,axiom,
% 163.03/162.93 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_foldr_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip_Osimps_I1_J,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__Nil,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__not__Nil,axiom,
% 163.03/162.93 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_removeAll_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nil__is__map__conv,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.93 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__is__Nil__conv,axiom,
% 163.03/162.93 ! [V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__Cons__code_I1_J,axiom,
% 163.03/162.93 ! [V_k,T_a,T_b] : hAPP(hAPP(c_Map_Omap__of(T_b,T_a),c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_upto__empty,axiom,
% 163.03/162.93 ! [V_i,V_j] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 163.03/162.93 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sorted__list__of__set__empty,axiom,
% 163.03/162.93 ! [T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sublist__empty,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_x_1,T_b,T_a] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__greater__0__conv,axiom,
% 163.03/162.93 ! [V_xs_2,T_a] :
% 163.03/162.93 ( 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_a)),V_xs_2)))
% 163.03/162.93 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select,axiom,
% 163.03/162.93 ! [V_s_2,T_a,V_xs_2] :
% 163.03/162.93 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_pick_Osimps,axiom,
% 163.03/162.93 ! [V_xs,V_x,T_a,V_i] :
% 163.03/162.93 ( ( 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)))
% 163.03/162.93 => 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) )
% 163.03/162.93 & ( ~ 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)))
% 163.03/162.93 => 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))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__list__update,axiom,
% 163.03/162.93 ! [V_x,V_k,T_a,V_xs] :
% 163.03/162.93 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.93 => ( ( 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))
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 163.03/162.93 & ( 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))
% 163.03/162.93 => 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) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osimps_I2_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osimps_I3_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last_Osimps,axiom,
% 163.03/162.93 ! [V_x,T_a,V_xs] :
% 163.03/162.93 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 163.03/162.93 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__ConsR,axiom,
% 163.03/162.93 ! [V_x,T_a,V_xs] :
% 163.03/162.93 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__ConsL,axiom,
% 163.03/162.93 ! [V_x,T_a,V_xs] :
% 163.03/162.93 ( V_xs = c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__key_Osimps_I1_J,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,T_a,T_b] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_b)
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__Cons__Cons,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_removeAll_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_xs,T_a,V_y,V_x] :
% 163.03/162.93 ( ( V_x = V_y
% 163.03/162.93 => 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) )
% 163.03/162.93 & ( V_x != V_y
% 163.03/162.93 => 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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_insort__key_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 163.03/162.93 ( class_Orderings_Olinorder(T_a)
% 163.03/162.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 163.03/162.93 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_foldr_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Oinject,axiom,
% 163.03/162.93 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2)
% 163.03/162.93 <=> ( V_a_2 = V_a_H_2
% 163.03/162.93 & V_list_2 = V_list_H_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_not__Cons__self2,axiom,
% 163.03/162.93 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 163.03/162.93
% 163.03/162.93 fof(fact_not__Cons__self,axiom,
% 163.03/162.93 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_xs,T_a,V_y,V_x] :
% 163.03/162.93 ( ( V_x = V_y
% 163.03/162.93 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 163.03/162.93 & ( V_x != V_y
% 163.03/162.93 => 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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_impossible__Cons,axiom,
% 163.03/162.93 ! [V_x,V_ys,V_xs,T_a] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__subset__Cons,axiom,
% 163.03/162.93 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__ConsD,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_y_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))))
% 163.03/162.93 => ( V_y_2 = V_x_2
% 163.03/162.93 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__simps_I2_J,axiom,
% 163.03/162.93 ! [V_xs,V_x,T_a] :
% 163.03/162.93 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.93 => 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)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__code_I2_J,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__code_I3_J,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__Cons__Suc,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__Cons__0,axiom,
% 163.03/162.93 ! [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 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth_Osimps,axiom,
% 163.03/162.93 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__map,axiom,
% 163.03/162.93 ! [V_f_2,T_b,T_a,V_xs_2] :
% 163.03/162.93 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))
% 163.03/162.93 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__Cons__code_I2_J,axiom,
% 163.03/162.93 ! [V_ps,V_v,T_c,T_b,V_k,V_l] :
% 163.03/162.93 ( ( V_l = V_k
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) )
% 163.03/162.93 & ( V_l != V_k
% 163.03/162.93 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(hAPP(c_Map_Omap__of(T_b,T_c),V_ps),V_k) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__in__set,axiom,
% 163.03/162.93 ! [T_a,V_as_2] :
% 163.03/162.93 ( V_as_2 != c_List_Olist_ONil(T_a)
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osize_I4_J,axiom,
% 163.03/162.93 ! [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))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__Cons_H,axiom,
% 163.03/162.93 ! [V_xs,V_x,T_a,V_n] :
% 163.03/162.93 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 163.03/162.93 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 => 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))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_select__weight__cons__zero,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sublist__singleton,axiom,
% 163.03/162.93 ! [V_x_2,T_a,V_A_2] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.03/162.93 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.03/162.93 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__Cons__number__of,axiom,
% 163.03/162.93 ! [V_xs,V_x,T_a,V_v] :
% 163.03/162.93 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 => 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 )
% 163.03/162.93 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.93 => 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))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_ps_2,V_p_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2)),hAPP(c_Option_Ooption_OSome(T_b),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__conv__nth,axiom,
% 163.03/162.93 ! [T_a,V_xs] :
% 163.03/162.93 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.93 => 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))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__Cons__def,axiom,
% 163.03/162.93 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__Cons,axiom,
% 163.03/162.93 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osimps_I5_J,axiom,
% 163.03/162.93 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list_Osimps_I4_J,axiom,
% 163.03/162.93 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_upto_Osimps,axiom,
% 163.03/162.93 ! [V_j,V_i] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.03/162.93 => 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)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.03/162.93 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_upto__rec__number__of,axiom,
% 163.03/162.93 ! [V_n,V_m] :
% 163.03/162.93 ( ( 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)))
% 163.03/162.93 => 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))) )
% 163.03/162.93 & ( ~ 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)))
% 163.03/162.93 => 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) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__Cons__sing__Nil,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__Cons1,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_upto_Opsimps,axiom,
% 163.03/162.93 ! [V_j_2,V_i_2] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.03/162.93 => 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)) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.03/162.93 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_anamorph_Osimps,axiom,
% 163.03/162.93 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 163.03/162.93 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.93 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) )
% 163.03/162.93 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.03/162.93 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listset_Osimps_I1_J,axiom,
% 163.03/162.93 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Cons,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Nil1,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Nil2,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel_ONil,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__eq__len,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__mono,axiom,
% 163.03/162.93 ! [V_s_2,V_r_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel_OCons,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Nil,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listset_Osimps_I2_J,axiom,
% 163.03/162.93 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__iff__nth,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 163.03/162.93 & ! [B_n] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_upto_Opinduct,axiom,
% 163.03/162.93 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => ( ! [B_i,B_j] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 163.03/162.93 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sublist__Cons,axiom,
% 163.03/162.93 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),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_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,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)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__eq__Cons__conv,axiom,
% 163.03/162.93 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 163.03/162.93 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 163.03/162.93 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) )
% 163.03/162.93 | ? [B_ys_H] :
% 163.03/162.93 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H)
% 163.03/162.93 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Cons__eq__append__conv,axiom,
% 163.03/162.93 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2)
% 163.03/162.93 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 163.03/162.93 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 )
% 163.03/162.93 | ? [B_ys_H] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2
% 163.03/162.93 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append1__eq__conv,axiom,
% 163.03/162.93 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a)))
% 163.03/162.93 <=> ( V_xs_2 = V_ys_2
% 163.03/162.93 & V_x_2 = V_y_2 ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__append,axiom,
% 163.03/162.93 ! [V_xs,T_a,V_ys] :
% 163.03/162.93 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 163.03/162.93 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__Nil,axiom,
% 163.03/162.93 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nil__is__append__conv,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 163.03/162.93 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 163.03/162.93 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__Nil2,axiom,
% 163.03/162.93 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 163.03/162.93
% 163.03/162.93 fof(fact_self__append__conv,axiom,
% 163.03/162.93 ! [V_ys_2,T_a,V_xs_2] :
% 163.03/162.93 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 163.03/162.93 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_self__append__conv2,axiom,
% 163.03/162.93 ! [V_xs_2,T_a,V_ys_2] :
% 163.03/162.93 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__is__Nil__conv,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a)
% 163.03/162.93 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 163.03/162.93 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__self__conv,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2
% 163.03/162.93 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__self__conv2,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2
% 163.03/162.93 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__appendR,axiom,
% 163.03/162.93 ! [V_xs,T_a,V_ys] :
% 163.03/162.93 ( V_ys != c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__appendL,axiom,
% 163.03/162.93 ! [V_xs,T_a,V_ys] :
% 163.03/162.93 ( V_ys = c_List_Olist_ONil(T_a)
% 163.03/162.93 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_eq__Nil__appendI,axiom,
% 163.03/162.93 ! [T_a,V_ys,V_xs] :
% 163.03/162.93 ( V_xs = V_ys
% 163.03/162.93 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__append,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_removeAll__append,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_foldr__append,axiom,
% 163.03/162.93 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__eq__appendI,axiom,
% 163.03/162.93 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 163.03/162.93 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 163.03/162.93 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__same__eq,axiom,
% 163.03/162.93 ! [V_zs_2,V_xs_2,V_ys_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2)
% 163.03/162.93 <=> V_ys_2 = V_zs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_same__append__eq,axiom,
% 163.03/162.93 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2)
% 163.03/162.93 <=> V_ys_2 = V_zs_2 ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__eq__append__conv2,axiom,
% 163.03/162.93 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2)
% 163.03/162.93 <=> ? [B_us] :
% 163.03/162.93 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us)
% 163.03/162.93 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 )
% 163.03/162.93 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2
% 163.03/162.93 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__assoc,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__of__append,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_length__append,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_zip__append,axiom,
% 163.03/162.93 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 163.03/162.93 ( 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)
% 163.03/162.93 => ( 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)
% 163.03/162.93 => 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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_set__append,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listsum__append,axiom,
% 163.03/162.93 ! [V_ys,V_xs,T_a] :
% 163.03/162.93 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.93 => 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)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__Cons,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Cons__eq__appendI,axiom,
% 163.03/162.93 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 163.03/162.93 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 163.03/162.93 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 163.03/162.93 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__append__length,axiom,
% 163.03/162.93 ! [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 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__append__length__plus,axiom,
% 163.03/162.93 ! [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) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__append1,axiom,
% 163.03/162.93 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 163.03/162.93 ( 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)))
% 163.03/162.93 => 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) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__length,axiom,
% 163.03/162.93 ! [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)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_remove1__append,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) )
% 163.03/162.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_last__snoc,axiom,
% 163.03/162.93 ! [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 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_distinct__append,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 163.03/162.93 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.93 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 163.03/162.93 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_nth__append,axiom,
% 163.03/162.93 ! [V_ys,V_xs,T_a,V_n] :
% 163.03/162.93 ( ( 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)))
% 163.03/162.93 => 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) )
% 163.03/162.93 & ( ~ 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)))
% 163.03/162.93 => 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))) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__update__append,axiom,
% 163.03/162.93 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 163.03/162.93 ( ( 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)))
% 163.03/162.93 => 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) )
% 163.03/162.93 & ( ~ 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)))
% 163.03/162.93 => 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)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_sublist__append,axiom,
% 163.03/162.93 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,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_a)),V_l_2)))),V_A_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Cons__in__lex,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2)))
% 163.03/162.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) )
% 163.03/162.93 | ( V_x_2 = V_y_2
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrelp__listrel__eq,axiom,
% 163.03/162.93 ! [V_xa_2,V_x_2,V_r_2,T_a] :
% 163.03/162.93 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2)
% 163.03/162.93 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrelp_Oequations_I2_J,axiom,
% 163.03/162.93 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] :
% 163.03/162.93 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2))
% 163.03/162.93 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 163.03/162.93 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrelp_OCons,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.03/162.93 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2)
% 163.03/162.93 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrelp_ONil,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrelp_Oequations_I1_J,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nil2__notin__lex,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Nil__notin__lex,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lenlex__conv,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lenlex__def,axiom,
% 163.03/162.93 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__append1,axiom,
% 163.03/162.93 ! [V_x_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 163.03/162.93 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Cons2,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => ~ ! [B_x,B_xs] :
% 163.03/162.93 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__add__upds,axiom,
% 163.03/162.93 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__upds(T_a,T_b,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__Nil2,axiom,
% 163.03/162.93 ! [V_as_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,c_List_Olist_ONil(T_b)) = V_m_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__Nil1,axiom,
% 163.03/162.93 ! [V_bs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,c_List_Olist_ONil(T_a),V_bs_2) = V_m_2 ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__apply__nontin,axiom,
% 163.03/162.93 ! [V_ys_2,V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.93 => hAPP(c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_fun__upds__append2__drop,axiom,
% 163.03/162.93 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_fun__upds__append__drop,axiom,
% 163.03/162.93 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__Cons,axiom,
% 163.03/162.93 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__list__update2__drop,axiom,
% 163.03/162.93 ! [V_y_2,V_m_2,V_ys_2,T_b,V_i_2,V_xs_2,T_a] :
% 163.03/162.93 ( 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_2)),V_i_2))
% 163.03/162.93 => ( 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_ys_2)))
% 163.03/162.93 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_map__upds__twist,axiom,
% 163.03/162.93 ! [V_bs_2,V_b_2,V_m_2,T_b,V_as_2,V_a_2,T_a] :
% 163.03/162.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_as_2)))
% 163.03/162.93 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_restrict__map__upds,axiom,
% 163.03/162.93 ! [V_m_2,V_D_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.93 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_D_2))
% 163.03/162.93 => c_Map_Orestrict__map(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_a),V_xs_2))),V_xs_2,V_ys_2) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__Cons1,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 => ~ ! [B_y,B_ys] :
% 163.03/162.93 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys)
% 163.03/162.93 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2))
% 163.03/162.93 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel__iff__zip,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.03/162.93 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 163.03/162.93 & ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Powp__def,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2))
% 163.03/162.93 <=> ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 163.03/162.93 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_INFI__bool__eq,axiom,
% 163.03/162.93 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_ball__UNIV,axiom,
% 163.03/162.93 ! [V_P_2,T_a] :
% 163.03/162.93 ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.93 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_ball__empty,axiom,
% 163.03/162.93 ! [V_P_2,T_a,B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 163.03/162.93 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Collect__ball__eq,axiom,
% 163.03/162.93 ! [V_P_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_congruent__def,axiom,
% 163.03/162.93 ! [V_f_2,V_r_2,T_b,T_a] :
% 163.03/162.93 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 163.03/162.93 <=> ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_INTER__def,axiom,
% 163.03/162.93 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Inf__Sup,axiom,
% 163.03/162.93 ! [V_A_2,T_a] :
% 163.03/162.93 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.93 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Sup__Inf,axiom,
% 163.03/162.93 ! [V_A_2,T_a] :
% 163.03/162.93 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.93 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_list__eq__iff__zip__eq,axiom,
% 163.03/162.93 ! [T_a,V_ys_2,V_xs_2] :
% 163.03/162.93 ( V_xs_2 = V_ys_2
% 163.03/162.93 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 163.03/162.93 & ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_WT__bodies__def,axiom,
% 163.03/162.93 ( c_Com_OWT__bodies
% 163.03/162.93 <=> ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lexord__append__left__rightI,axiom,
% 163.03/162.93 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 163.03/162.93 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 & V_x_2 = V_y_2 )
% 163.03/162.93 | ( V_xs_2 = V_ys_2
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_triples__valid__Suc,axiom,
% 163.03/162.93 ! [V_n_2,V_ts_2,T_a] :
% 163.03/162.93 ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 163.03/162.93 => c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 163.03/162.93 => ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 163.03/162.93 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,B_x) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_hoare__valids__def,axiom,
% 163.03/162.93 ! [V_ts_2,V_G_2,T_a] :
% 163.03/162.93 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_G_2,V_ts_2)
% 163.03/162.93 <=> ! [B_n] :
% 163.03/162.93 ( ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_G_2))
% 163.03/162.93 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) )
% 163.03/162.93 => ! [B_x] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 163.03/162.93 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel1__mono,axiom,
% 163.03/162.93 ! [V_s_2,V_r_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Inter__eq,axiom,
% 163.03/162.93 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,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_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel1I2,axiom,
% 163.03/162.93 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel1__eq__len,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_not__listrel1__Nil,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_not__Nil__listrel1,axiom,
% 163.03/162.93 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_append__listrel1I,axiom,
% 163.03/162.93 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.93 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 & V_us_2 = V_vs_2 )
% 163.03/162.93 | ( V_xs_2 = V_ys_2
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) )
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lexord__Nil__right,axiom,
% 163.03/162.93 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lexord__append__leftI,axiom,
% 163.03/162.93 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_Cons__listrel1__Cons,axiom,
% 163.03/162.93 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 & V_xs_2 = V_ys_2 )
% 163.03/162.93 | ( V_x_2 = V_y_2
% 163.03/162.93 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_listrel1I1,axiom,
% 163.03/162.93 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 163.03/162.93 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.93 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 163.03/162.93
% 163.03/162.93 fof(fact_lexord__lex,axiom,
% 163.03/162.93 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel1I,axiom,
% 163.03/162.94 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.94 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2))
% 163.03/162.94 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__cons__cons,axiom,
% 163.03/162.94 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.03/162.94 | ( V_a_2 = V_b_2
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel1__iff__update,axiom,
% 163.03/162.94 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.94 <=> ? [B_y,B_n] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__take__index__conv,axiom,
% 163.03/162.94 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))
% 163.03/162.94 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 )
% 163.03/162.94 | ? [B_i] :
% 163.03/162.94 ( 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_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))))
% 163.03/162.94 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2)
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__set__takeD,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__take__subset,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublist__upt__eq__take,axiom,
% 163.03/162.94 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Nil,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__0,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__eq__Nil,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__zip,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__take,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__take,axiom,
% 163.03/162.94 ! [V_i,V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__take,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__take,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Suc__Cons,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__all,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( 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))
% 163.03/162.94 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__take__subset__set__take,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_n_2,V_m_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__append,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__1__Cons,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Cons,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Cons_H,axiom,
% 163.03/162.94 ! [V_xs,V_x,T_a,V_n] :
% 163.03/162.94 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dom__map__upds,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Cons__number__of,axiom,
% 163.03/162.94 ! [V_xs,V_x,T_a,V_v] :
% 163.03/162.94 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__upd__upds__conv__if,axiom,
% 163.03/162.94 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_b,V_x_2,T_a] :
% 163.03/162.94 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 163.03/162.94 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 163.03/162.94 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Suc__conv__app__nth,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_i] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel1E,axiom,
% 163.03/162.94 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.03/162.94 => ~ ! [B_x,B_y] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 163.03/162.94 => ! [B_us,B_vs] :
% 163.03/162.94 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs))
% 163.03/162.94 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__append__leftD,axiom,
% 163.03/162.94 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate1__def,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel1__subset__listrel,axiom,
% 163.03/162.94 ! [V_r_H_2,V_r_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 163.03/162.94 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2)
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__rotate1,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate1__is__Nil__conv,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__Id__on,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct1__rotate,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)))
% 163.03/162.94 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__rotate1,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__empty,axiom,
% 163.03/162.94 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__Un,axiom,
% 163.03/162.94 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 163.03/162.94 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__Int,axiom,
% 163.03/162.94 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 163.03/162.94 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__onD,axiom,
% 163.03/162.94 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__onD1,axiom,
% 163.03/162.94 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__onD2,axiom,
% 163.03/162.94 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__simps,axiom,
% 163.03/162.94 ! [V_xs,V_x,T_b,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 163.03/162.94 & 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate1__length01,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__def_H,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 <=> ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) )
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_reflp__def,axiom,
% 163.03/162.94 ! [V_r_2,T_a] :
% 163.03/162.94 ( c_Predicate_Oreflp(T_a,V_r_2)
% 163.03/162.94 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexn__length,axiom,
% 163.03/162.94 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2
% 163.03/162.94 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_reflpE,axiom,
% 163.03/162.94 ! [V_x_2,V_r_2,T_a] :
% 163.03/162.94 ( c_Predicate_Oreflp(T_a,V_r_2)
% 163.03/162.94 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexn_Osimps_I1_J,axiom,
% 163.03/162.94 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lex__def,axiom,
% 163.03/162.94 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexn_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upd__conv__take__nth__drop,axiom,
% 163.03/162.94 ! [V_a,V_xs,T_a,V_i] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__imageI,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__take__drop__id,axiom,
% 163.03/162.94 ! [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 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__take,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__drop,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__set__dropD,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__drop__subset,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Nil,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair_Ocompositionality,axiom,
% 163.03/162.94 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__compose,axiom,
% 163.03/162.94 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair_Ocomp,axiom,
% 163.03/162.94 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_snd__comp__map__pair,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fst__comp__map__pair,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__zip,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__drop,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__0,axiom,
% 163.03/162.94 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__ident,axiom,
% 163.03/162.94 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__drop,axiom,
% 163.03/162.94 ! [V_i,V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__drop,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fst__map__pair,axiom,
% 163.03/162.94 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_snd__prod__fun,axiom,
% 163.03/162.94 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Suc__Cons,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__1__Cons,axiom,
% 163.03/162.94 ! [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 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__via__drop,axiom,
% 163.03/162.94 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__simp,axiom,
% 163.03/162.94 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__drop__subset__set__drop,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_m_2,V_n_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__all,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( 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))
% 163.03/162.94 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__eq__Nil,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> 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_2)),V_n_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__append,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__eq__conv__conj,axiom,
% 163.03/162.94 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2
% 163.03/162.94 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2)
% 163.03/162.94 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_last__drop,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Cons,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__def,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,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_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Cons_H,axiom,
% 163.03/162.94 ! [V_xs,V_x,T_a,V_n] :
% 163.03/162.94 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__drop,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_i,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__eq__append__conv__if,axiom,
% 163.03/162.94 ! [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_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 163.03/162.94 <=> ( ( 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 163.03/162.94 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 163.03/162.94 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 163.03/162.94 & ( ~ 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 163.03/162.94 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 163.03/162.94 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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 ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__surj,axiom,
% 163.03/162.94 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] :
% 163.03/162.94 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__drop_H,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_i] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Cons__number__of,axiom,
% 163.03/162.94 ! [V_xs,V_x,T_a,V_v] :
% 163.03/162.94 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__add,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_j,V_i] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_zip__append2,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_zip__append1,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_id__take__nth__drop,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_i] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__hd__drop,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_prod__fun__imageE,axiom,
% 163.03/162.94 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_ca_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2)))
% 163.03/162.94 => ~ ! [B_x,B_y] :
% 163.03/162.94 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 163.03/162.94 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_R_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd_Osimps,axiom,
% 163.03/162.94 ! [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 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__map,axiom,
% 163.03/162.94 ! [V_f_2,T_b,T_a,V_xs_2] :
% 163.03/162.94 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__append2,axiom,
% 163.03/162.94 ! [V_ys,T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__append,axiom,
% 163.03/162.94 ! [V_ys,T_a,V_xs] :
% 163.03/162.94 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__in__set,axiom,
% 163.03/162.94 ! [T_a,V_xs_2] :
% 163.03/162.94 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__conv__nth,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__drop__conv__nth,axiom,
% 163.03/162.94 ! [V_n,T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => ( 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)))
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate1__hd__tl,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__rotate__conv__nth,axiom,
% 163.03/162.94 ! [V_n,T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__tl,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl__drop,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__rotate,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl_Osimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__is__Nil__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__tl,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__rotate,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__rotate,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)))
% 163.03/162.94 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__tl,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__rotate,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl_Osimps_I2_J,axiom,
% 163.03/162.94 ! [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 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate1__rotate__swap,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl__append2,axiom,
% 163.03/162.94 ! [V_ys,T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__tl,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__conv__mod,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__Suc,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__Suc,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl__append,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__add,axiom,
% 163.03/162.94 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__id,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)
% 163.03/162.94 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__length01,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__tl,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_tl__take,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__Suc,axiom,
% 163.03/162.94 ! [V_n,T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__drop__take,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fold1__set,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.03/162.94 => ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list_Osize_I2_J,axiom,
% 163.03/162.94 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),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_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldr__conv__foldl,axiom,
% 163.03/162.94 ! [V_a_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Groups_Oab__semigroup__add(T_a)
% 163.03/162.94 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_start__le__sum,axiom,
% 163.03/162.94 ! [V_ns_2,V_n_2,V_m_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.03/162.94 => 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_n_2),V_ns_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__Cons,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__absorb0,axiom,
% 163.03/162.94 ! [V_zs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__assoc,axiom,
% 163.03/162.94 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Groups_Osemigroup__add(T_a)
% 163.03/162.94 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__Nil,axiom,
% 163.03/162.94 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__append,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__size__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsum__foldl,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.94 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__foldr1__lemma,axiom,
% 163.03/162.94 ! [V_xs_2,V_a_2,T_a] :
% 163.03/162.94 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.94 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__foldr1,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Groups_Omonoid__add(T_a)
% 163.03/162.94 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sum__eq__0__conv,axiom,
% 163.03/162.94 ! [V_ns_2,V_m_2] :
% 163.03/162.94 ( 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)
% 163.03/162.94 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.03/162.94 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list_Osize_I1_J,axiom,
% 163.03/162.94 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 163.03/162.94 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 163.03/162.94 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sup__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.94 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Inf__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.94 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sup__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Lattices_Olattice(T_a)
% 163.03/162.94 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Inf__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Lattices_Olattice(T_a)
% 163.03/162.94 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Min__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Max__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SUPR__set__fold,axiom,
% 163.03/162.94 ! [V_f_2,V_xs_2,T_b,T_a] :
% 163.03/162.94 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_INFI__set__fold,axiom,
% 163.03/162.94 ! [V_f_2,V_xs_2,T_b,T_a] :
% 163.03/162.94 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__size__estimation,axiom,
% 163.03/162.94 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__size__estimation_H,axiom,
% 163.03/162.94 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__upds__fold__map__upd,axiom,
% 163.03/162.94 ! [V_vs_2,V_ks_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),T_b))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b))))),c_Option_Ooption_OSome(T_b))),V_m_2),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ks_2),V_vs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_elem__le__sum,axiom,
% 163.03/162.94 ! [V_ns_2,V_n_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__size__conv__listsum,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,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_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_image__split__eq__Sigma,axiom,
% 163.03/162.94 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__append__rightI,axiom,
% 163.03/162.94 ! [V_r_2,V_x_2,T_a,V_y_2] :
% 163.03/162.94 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z)
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SigmaI,axiom,
% 163.03/162.94 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_UNIV__Times__UNIV,axiom,
% 163.03/162.94 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SigmaE2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 163.03/162.94 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.94 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SigmaD2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SigmaD1,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_mem__Sigma__iff,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__cartesian__product,axiom,
% 163.03/162.94 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Un__distrib2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__Un__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Un__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Diff__distrib2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__Diff__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Diff__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Compl__Times__UNIV1,axiom,
% 163.03/162.94 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Compl__Times__UNIV2,axiom,
% 163.03/162.94 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_card__cartesian__product,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Id__on__subset__Times,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_equiv__type,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__eq__cancel2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 163.03/162.94 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))
% 163.03/162.94 <=> V_A_2 = V_B_2 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__empty1,axiom,
% 163.03/162.94 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__empty,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))
% 163.03/162.94 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__empty2,axiom,
% 163.03/162.94 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Union,axiom,
% 163.03/162.94 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Int__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__Int__distrib1,axiom,
% 163.03/162.94 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__Int__distrib2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setsum__cartesian__product,axiom,
% 163.03/162.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setprod__cartesian__product,axiom,
% 163.03/162.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_card__cartesian__product__singleton,axiom,
% 163.03/162.94 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Times__subset__cancel2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))))
% 163.03/162.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Image__subset,axiom,
% 163.03/162.94 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__cartesian__productD1,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 163.03/162.94 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__cartesian__productD2,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 163.03/162.94 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SetCompr__Sigma__eq,axiom,
% 163.03/162.94 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Q_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Collect__split,axiom,
% 163.03/162.94 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Q_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fst__image__times,axiom,
% 163.03/162.94 ! [V_A_2,T_b,T_a,V_B_2] :
% 163.03/162.94 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.94 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_snd__image__times,axiom,
% 163.03/162.94 ! [V_B_2,T_b,T_a,V_A_2] :
% 163.03/162.94 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.03/162.94 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__surj__on,axiom,
% 163.03/162.94 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2
% 163.03/162.94 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2
% 163.03/162.94 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,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))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_swap__product,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__on__def,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_insert__times__insert,axiom,
% 163.03/162.94 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__equiv__class,axiom,
% 163.03/162.94 ! [V_X_2,V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair__inj__on,axiom,
% 163.03/162.94 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 163.03/162.94 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2)
% 163.03/162.94 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_UN__Times__distrib,axiom,
% 163.03/162.94 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),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(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Sigma__def,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__quotient,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_vimage__Times,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_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))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] :
% 163.03/162.94 ( class_Rings_Osemiring__0(T_c)
% 163.03/162.94 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))
% 163.03/162.94 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),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_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),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_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),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))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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))))))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 163.03/162.94 ! [V_A_2,V_I_2,T_b,T_a] :
% 163.03/162.94 ? [B_f] :
% 163.03/162.94 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_surj__id,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_image__id,axiom,
% 163.03/162.94 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_id__o,axiom,
% 163.03/162.94 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_o__id,axiom,
% 163.03/162.94 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_o__eq__id__dest,axiom,
% 163.03/162.94 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 163.03/162.94 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_ca_2)
% 163.03/162.94 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_List_Omap_Oid,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_List_Omap_Oidentity,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate0,axiom,
% 163.03/162.94 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_folding_Oempty,axiom,
% 163.03/162.94 ! [V_F_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 163.03/162.94 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_inj__on__id,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Option_Omap_Oid,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Option_Omap_Oidentity,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_apfst__id,axiom,
% 163.03/162.94 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_id__def,axiom,
% 163.03/162.94 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_apsnd__id,axiom,
% 163.03/162.94 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_id__apply,axiom,
% 163.03/162.94 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 163.03/162.94
% 163.03/162.94 fof(fact_vimage__id,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_of__int__eq__id,axiom,
% 163.03/162.94 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair_Oidentity,axiom,
% 163.03/162.94 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__pair_Oid,axiom,
% 163.03/162.94 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_apfst__def,axiom,
% 163.03/162.94 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_apsnd__def,axiom,
% 163.03/162.94 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_split__Pair,axiom,
% 163.03/162.94 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setsum__reindex__id,axiom,
% 163.03/162.94 ! [V_B_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.03/162.94 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setprod__reindex__id,axiom,
% 163.03/162.94 ! [V_B_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.03/162.94 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setprod__Sigma,axiom,
% 163.03/162.94 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.03/162.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_refl__onI,axiom,
% 163.03/162.94 ! [V_A_2,V_r_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) )
% 163.03/162.94 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setsum__Sigma,axiom,
% 163.03/162.94 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.03/162.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fold__image__Sigma,axiom,
% 163.03/162.94 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.03/162.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 163.03/162.94 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),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)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_card__SigmaI,axiom,
% 163.03/162.94 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 163.03/162.94 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_finite__SigmaI,axiom,
% 163.03/162.94 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( ! [B_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 163.03/162.94 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel__subset,axiom,
% 163.03/162.94 ! [V_A_2,V_r_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__Nil__left,axiom,
% 163.03/162.94 ! [V_r_2,V_y_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists_ONil,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__mono,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__in__lists__conv,axiom,
% 163.03/162.94 ! [V_A_2,V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__UNIV,axiom,
% 163.03/162.94 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_equiv__listrel,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.03/162.94 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listrel__refl__on,axiom,
% 163.03/162.94 ! [V_r_2,V_A_2,T_a] :
% 163.03/162.94 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.03/162.94 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Cons__in__lists__iff,axiom,
% 163.03/162.94 ! [V_A_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__lists__conv__set,axiom,
% 163.03/162.94 ! [V_A_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__eq__set,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__empty,axiom,
% 163.03/162.94 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsum__mono,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Groups_Omonoid__add(T_b)
% 163.03/162.94 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__irreflexive,axiom,
% 163.03/162.94 ! [V_y_2,V_r_2,T_a] :
% 163.03/162.94 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2))
% 163.03/162.94 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lexord__linear,axiom,
% 163.03/162.94 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 163.03/162.94 ( ! [B_a,B_b] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2))
% 163.03/162.94 | B_a = B_b
% 163.03/162.94 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) )
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 163.03/162.94 | V_x_2 = V_y_2
% 163.03/162.94 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists_Osimps,axiom,
% 163.03/162.94 ! [V_A_2,V_a_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 163.03/162.94 | ? [B_a,B_l] :
% 163.03/162.94 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l)
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 163.03/162.94 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__size__pointwise,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,V_xs_2,T_a] :
% 163.03/162.94 ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__take,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__take__lemma,axiom,
% 163.03/162.94 ! [V_ys,V_xs,T_a,V_k] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => ( 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)))
% 163.03/162.94 => ( ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 163.03/162.94 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__butlast,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_x,T_a,V_xs] :
% 163.03/162.94 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.03/162.94 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 163.03/162.94 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__set__butlastD,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast_Osimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__drop,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__butlast,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__append,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_ys] :
% 163.03/162.94 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.03/162.94 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 163.03/162.94 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__butlast,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__set__butlast__appendI,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 163.03/162.94 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) )
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__snoc,axiom,
% 163.03/162.94 ! [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 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__butlast,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__butlast,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__conv__take,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_butlast__list__update,axiom,
% 163.03/162.94 ! [V_x,V_xs,T_a,V_k] :
% 163.03/162.94 ( ( 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))
% 163.03/162.94 => 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) )
% 163.03/162.94 & ( 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))
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__butlast__last__id,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => 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 ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_snoc__eq__iff__butlast,axiom,
% 163.03/162.94 ! [V_ys_2,V_x_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2
% 163.03/162.94 <=> ( V_ys_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2
% 163.03/162.94 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__aux__max,axiom,
% 163.03/162.94 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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_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_a)),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)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),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_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition__set,axiom,
% 163.03/162.94 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 163.03/162.94 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition__filter__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition__filter2,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_P_2)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__id__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = V_xs_2
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__empty__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__append,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter_Osimps_I1_J,axiom,
% 163.03/162.94 ! [V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sum__length__filter__compl,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_removeAll__filter__not__eq,axiom,
% 163.03/162.94 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_removeAll__filter__not,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__insort__triv,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,V_x_2,V_P_2,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_Q_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__remove1,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_Q_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Q_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remove1__filter__not,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__filter,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition__filter1,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__filter__le,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,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)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__is__subset,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_P_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__filter__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__filter__less,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__minus__filter__out,axiom,
% 163.03/162.94 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition__P,axiom,
% 163.03/162.94 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2)))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2)))
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition_Osimps_I1_J,axiom,
% 163.03/162.94 ! [V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__in__sublist,axiom,
% 163.03/162.94 ! [V_s_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_partition_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_P_2,V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__filter__conv__card,axiom,
% 163.03/162.94 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__filter__def,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),V_f_2)),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,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_a)))),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__max__length,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__map__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Osimps_I2_J,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Osimps_I1_J,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__empty,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a))
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__filter__simps_I2_J,axiom,
% 163.03/162.94 ! [V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__of__filter__in,axiom,
% 163.03/162.94 ! [V_P_2,V_z_2,V_k_2,V_xs_2,T_a,T_b] :
% 163.03/162.94 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(V_P_2,V_k_2),V_z_2))
% 163.03/162.94 => hAPP(hAPP(c_Map_Omap__of(T_b,T_a),hAPP(c_List_Ofilter(tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__filter__simps_I1_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_a),T_a,c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublist__shift__lemma__Suc,axiom,
% 163.03/162.94 ! [V_is_2,V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_select__weigth__drop__zero,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_pick__drop__zero,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__transpose,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_i_2] :
% 163.03/162.94 ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__transpose,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__filter__map__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = c_List_Omap__filter(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_Option_Ooption(T_a)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),T_b),c_If(tc_Option_Ooption(T_a))),V_P_2)),hAPP(hAPP(c_COMBB(T_a,tc_Option_Ooption(T_a),T_b),c_Option_Ooption_OSome(T_a)),V_f_2))),c_Option_Ooption_ONone(T_a)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_insort__key__remove1,axiom,
% 163.03/162.94 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 163.03/162.94 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 163.03/162.94 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublist__def,axiom,
% 163.03/162.94 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted_ONil,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__single,axiom,
% 163.03/162.94 ! [V_x,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__same,axiom,
% 163.03/162.94 ! [V_xs_2,V_g_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__map__same,axiom,
% 163.03/162.94 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__filter,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__butlast,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__insort__insert__key,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_drop__upt,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__drop,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__upt,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__take,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__distinct__set__unique,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 163.03/162.94 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 163.03/162.94 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted_Oequations_I1_J,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__0,axiom,
% 163.03/162.94 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__insort,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2))
% 163.03/162.94 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__upto,axiom,
% 163.03/162.94 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__upt,axiom,
% 163.03/162.94 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__remove1,axiom,
% 163.03/162.94 ! [V_a,V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__list__of__set__range,axiom,
% 163.03/162.94 ! [V_n_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_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__upt,axiom,
% 163.03/162.94 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__insort__insert,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__conv__Cons,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__rec,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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)) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__tl,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__Suc__upt,axiom,
% 163.03/162.94 ! [V_n_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_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__map__remove1,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__insort__key,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)))
% 163.03/162.94 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_atLeastLessThan__upt,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__upt,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__conv__Nil,axiom,
% 163.03/162.94 ! [V_i,V_j] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.03/162.94 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__eq__Nil__conv,axiom,
% 163.03/162.94 ! [V_j_2,V_i_2] :
% 163.03/162.94 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 163.03/162.94 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__many,axiom,
% 163.03/162.94 ! [V_zs,V_y,V_x,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 163.03/162.94 => 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))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__many__eq,axiom,
% 163.03/162.94 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 163.03/162.94 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__add__eq__append,axiom,
% 163.03/162.94 ! [V_k,V_j,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__Suc__append,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__Suc,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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))) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_take__upt,axiom,
% 163.03/162.94 ! [V_n,V_m,V_i] :
% 163.03/162.94 ( 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))
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__upt,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__Cons,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 163.03/162.94 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__append,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 163.03/162.94 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 & c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ! [B_xa] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__rec__number__of,axiom,
% 163.03/162.94 ! [V_n,V_m] :
% 163.03/162.94 ( ( 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)))
% 163.03/162.94 => 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))) )
% 163.03/162.94 & ( ~ 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)))
% 163.03/162.94 => 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) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_upt__eq__Cons__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 163.03/162.94 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 163.03/162.94 & V_i_2 = V_x_2
% 163.03/162.94 & 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 ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_last__upt,axiom,
% 163.03/162.94 ! [V_j,V_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__insort,axiom,
% 163.03/162.94 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 163.03/162.94 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__nth,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_atLeastAtMost__upt,axiom,
% 163.03/162.94 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_atLeast__upt,axiom,
% 163.03/162.94 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 163.03/162.94 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.94 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 163.03/162.94 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.94 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__upt,axiom,
% 163.03/162.94 ! [V_j,V_k,V_i] :
% 163.03/162.94 ( 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))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_greaterThanAtMost__upt,axiom,
% 163.03/162.94 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted_Oequations_I2_J,axiom,
% 163.03/162.94 ! [V_a1_2,V_a2_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2))
% 163.03/162.94 <=> ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) )
% 163.03/162.94 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_greaterThanLessThan__upt,axiom,
% 163.03/162.94 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__map__upt,axiom,
% 163.03/162.94 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] :
% 163.03/162.94 ( 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_n_2),V_m_2)))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__list__of__set,axiom,
% 163.03/162.94 ! [V_A_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.94 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2
% 163.03/162.94 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))
% 163.03/162.94 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_atMost__upto,axiom,
% 163.03/162.94 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_insort__remove1,axiom,
% 163.03/162.94 ! [V_xs_2,V_a_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__equals__nth__mono,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 <=> ! [B_j] :
% 163.03/162.94 ( 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_2)))
% 163.03/162.94 => ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__nth__mono,axiom,
% 163.03/162.94 ! [V_j,V_i,V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => ( 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)))
% 163.03/162.94 => 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))) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__sorted__distinct__set__unique,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)))
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)))
% 163.03/162.94 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 163.03/162.94 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublist__shift__lemma,axiom,
% 163.03/162.94 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__rectangle,axiom,
% 163.03/162.94 ! [V_n_2,T_a,V_xs_2] :
% 163.03/162.94 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 163.03/162.94 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.94 => ( ! [B_i] :
% 163.03/162.94 ( 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_a))),V_xs_2)))
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 )
% 163.03/162.94 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),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_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Opsimps_I2_J,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)))
% 163.03/162.94 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Opsimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))))
% 163.03/162.94 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__column,axiom,
% 163.03/162.94 ! [V_i_2,V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 163.03/162.94 => ( 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_a))),V_xs_2)))
% 163.03/162.94 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__aux__filter__head,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_inj__on__rev,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev_Osimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Nil__is__rev__conv,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2)
% 163.03/162.94 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__is__Nil__conv,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_singleton__rev__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2)
% 163.03/162.94 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__singleton__conv,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))
% 163.03/162.94 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__conv__foldl,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__concat,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__foldl__cons,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__conv__concat,axiom,
% 163.03/162.94 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__rev,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2)))
% 163.03/162.94 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__append,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__append,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__rev,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__is__rev__conv,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2)
% 163.03/162.94 <=> V_xs_2 = V_ys_2 ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__swap,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2
% 163.03/162.94 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__rev__ident,axiom,
% 163.03/162.94 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsum__rev,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__rev,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_zip__rev,axiom,
% 163.03/162.94 ! [V_ys,T_b,V_xs,T_a] :
% 163.03/162.94 ( 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)
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Orev(T_a),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldl__foldr,axiom,
% 163.03/162.94 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldr__foldl,axiom,
% 163.03/162.94 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat_Osimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat_Osimps_I2_J,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__eq__Nil__conv,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] :
% 163.03/162.94 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 163.03/162.94 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_Nil__eq__concat__conv,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] :
% 163.03/162.94 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2)
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 163.03/162.94 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__concat,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__concat,axiom,
% 163.03/162.94 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev_Osimps_I2_J,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__eq__Cons__iff,axiom,
% 163.03/162.94 ! [V_ys_2,V_y_2,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 163.03/162.94 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__concat,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__concat,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__rev,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_last__rev,axiom,
% 163.03/162.94 ! [T_a,V_xs] :
% 163.03/162.94 ( V_xs != c_List_Olist_ONil(T_a)
% 163.03/162.94 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__transpose,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__drop,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__take,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rotate__rev,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Osimps_I3_J,axiom,
% 163.03/162.94 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__nth,axiom,
% 163.03/162.94 ! [V_xs,T_a,V_n] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__eq__concat__iff,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 163.03/162.94 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 163.03/162.94 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__injective,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 163.03/162.94 => V_xs_2 = V_ys_2 ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_rev__update,axiom,
% 163.03/162.94 ! [V_y,V_xs,T_a,V_k] :
% 163.03/162.94 ( 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)))
% 163.03/162.94 => 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) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_concat__map__singleton,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__rev__nth__mono,axiom,
% 163.03/162.94 ! [V_j,V_i,V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.03/162.94 => ( 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)))
% 163.03/162.94 => 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))) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_foldr__max__sorted,axiom,
% 163.03/162.94 ! [V_y_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2))
% 163.03/162.94 => ( ( V_xs_2 = c_List_Olist_ONil(T_a)
% 163.03/162.94 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 )
% 163.03/162.94 & ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose_Opsimps_I3_J,axiom,
% 163.03/162.94 ! [V_xss_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)))
% 163.03/162.94 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__transpose__sorted,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 163.03/162.94 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.03/162.94 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a))
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__column__length,axiom,
% 163.03/162.94 ! [V_i_2,V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 163.03/162.94 => ( 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_a))),V_xs_2)))
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__aux__filter__tail,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__nth__transpose__sorted,axiom,
% 163.03/162.94 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 163.03/162.94 => ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 163.03/162.94 => ( 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_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2))))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transpose__transpose,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 163.03/162.94 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 163.03/162.94 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_zip__takeWhile__fst,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_zip__takeWhile__snd,axiom,
% 163.03/162.94 ! [V_ys_2,V_P_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__takeWhileD,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__eq__all__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = V_xs_2
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__takeWhile__le,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,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_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__eq__take,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__takeWhile,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__tail,axiom,
% 163.03/162.94 ! [V_l_2,V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__takeWhile,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 163.03/162.94 ! [V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_return__list__def,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__append1,axiom,
% 163.03/162.94 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_nth__length__takeWhile,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__nth,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__upds__def,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__not__last,axiom,
% 163.03/162.94 ! [T_a,V_xs_2] :
% 163.03/162.94 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 163.03/162.94 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 163.03/162.94 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 163.03/162.94 ! [V_l] :
% 163.03/162.94 ( c_List_Onat__list(V_l)
% 163.03/162.94 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__remdups__concat,axiom,
% 163.03/162.94 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__remdups,axiom,
% 163.03/162.94 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__remdups__leq,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__map__remdups,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__remdups,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups_Osimps_I1_J,axiom,
% 163.03/162.94 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__eq__nil__right__iff,axiom,
% 163.03/162.94 ! [V_x_2,T_a] :
% 163.03/162.94 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2)
% 163.03/162.94 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__eq__nil__iff,axiom,
% 163.03/162.94 ! [V_x_2,T_a] :
% 163.03/162.94 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__remdups,axiom,
% 163.03/162.94 ! [V_l,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__remdups__id,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__id__iff__distinct,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2
% 163.03/162.94 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__remdups__eq,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 163.03/162.94 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__remdups,axiom,
% 163.03/162.94 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oremdups(T_a,V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remove1__remdups,axiom,
% 163.03/162.94 ! [V_x,V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => 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)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_embed__list__def,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_remdups_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__remdups__card__conv,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 163.03/162.94 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 163.03/162.94 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__neq__rev,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__neq__rev,axiom,
% 163.03/162.94 ! [V_x_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__dropWhile__le,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,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_OdropWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__dropWhile,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 163.03/162.94 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_P_2,V_xs_2) )
% 163.03/162.94 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__dropWhile,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 163.03/162.94 ! [V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = c_List_Olist_ONil(T_a)
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__dropWhile__id,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)) = V_xs_2 ).
% 163.03/162.94
% 163.03/162.94 fof(fact_hd__dropWhile,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) != c_List_Olist_ONil(T_a)
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__map,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__append1,axiom,
% 163.03/162.94 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.03/162.94 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 163.03/162.94 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 163.03/162.94 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))
% 163.03/162.94 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__eq__drop,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_dropWhile__nth,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 163.03/162.94 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsum__map__filter,axiom,
% 163.03/162.94 ! [V_f_2,V_P_2,V_xs_2,T_a,T_b] :
% 163.03/162.94 ( class_Groups_Omonoid__add(T_b)
% 163.03/162.94 => ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 163.03/162.94 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) )
% 163.03/162.94 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__nth__monoI,axiom,
% 163.03/162.94 ! [V_xs,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( ! [B_i,B_j] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.03/162.94 => ( 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)))
% 163.03/162.94 => 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))) ) )
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_n__lists_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublists__powset,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__n__lists,axiom,
% 163.03/162.94 ! [V_n,V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__set__sublists,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__n__lists,axiom,
% 163.03/162.94 ! [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) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__n__lists__elem,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,V_ys_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))))
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublists_Osimps_I1_J,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_n__lists__Nil,axiom,
% 163.03/162.94 ! [T_a,V_n] :
% 163.03/162.94 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => 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))) )
% 163.03/162.94 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.03/162.94 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_n__lists_Osimps_I1_J,axiom,
% 163.03/162.94 ! [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))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sublists_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__n__lists,axiom,
% 163.03/162.94 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__sublists,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_product_Osimps_I2_J,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__the__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a] : c_Enum_Oenum__the(T_a,V_P_2) = c_HOL_OThe(T_a,V_P_2) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_product_Osimps_I1_J,axiom,
% 163.03/162.94 ! [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)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__product,axiom,
% 163.03/162.94 ! [V_ys,T_b,V_xs,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_product__list__set,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__of__zip__enum__inject,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 163.03/162.94 => ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_xs_2))) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_ys_2)))
% 163.03/162.94 => V_xs_2 = V_ys_2 ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sort__foldl__insort,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__prod__def,axiom,
% 163.03/162.94 ! [T_b,T_a] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_a)
% 163.03/162.94 & class_Enum_Oenum(T_b) )
% 163.03/162.94 => c_Enum_Oenum__class_Oenum(tc_prod(T_a,T_b)) = c_Enum_Oproduct(T_a,T_b,c_Enum_Oenum__class_Oenum(T_a),c_Enum_Oenum__class_Oenum(T_b)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__distinct,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => hBOOL(hAPP(c_List_Odistinct(T_a),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__option__def,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => c_Enum_Oenum__class_Oenum(tc_Option_Ooption(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(hAPP(c_List_Omap(T_a,tc_Option_Ooption(T_a)),c_Option_Ooption_OSome(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_distinct__sort,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)))
% 163.03/162.94 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_filter__sort,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,V_P_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__sort,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__sort,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sort__key__simps_I1_J,axiom,
% 163.03/162.94 ! [V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_set__sort,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__enum,axiom,
% 163.03/162.94 ! [V_x_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_UNIV__enum,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__UNIV,axiom,
% 163.03/162.94 ! [T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__sort__key,axiom,
% 163.03/162.94 ! [V_xs_2,V_f_2,T_b,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sort__key__simps_I2_J,axiom,
% 163.03/162.94 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_b)
% 163.03/162.94 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__fun__code,axiom,
% 163.03/162.94 ! [T_b,T_a] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_a)
% 163.03/162.94 & class_HOL_Oequal(T_a)
% 163.03/162.94 & class_Enum_Oenum(T_b) )
% 163.03/162.94 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__fun__def,axiom,
% 163.03/162.94 ! [T_b,T_a] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_a)
% 163.03/162.94 & class_Enum_Oenum(T_b) )
% 163.03/162.94 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 163.03/162.94 ! [V_xs_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_all__n__lists__def,axiom,
% 163.03/162.94 ! [V_n_2,V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( c_Enum_Oall__n__lists(T_a,V_P_2,V_n_2)
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_ex__n__lists__def,axiom,
% 163.03/162.94 ! [V_n_2,V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( c_Enum_Oex__n__lists(T_a,V_P_2,V_n_2)
% 163.03/162.94 <=> ? [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 163.03/162.94 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__ex__fun__code,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a)
% 163.03/162.94 & class_HOL_Oequal(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__all__fun__code,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a)
% 163.03/162.94 & class_HOL_Oequal(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__ex__option__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(T_a)),V_P_2))
% 163.03/162.94 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 163.03/162.94 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__all__option__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(T_a)),V_P_2))
% 163.03/162.94 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 163.03/162.94 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__ex,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2))
% 163.03/162.94 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__all,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2))
% 163.03/162.94 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_exists__code,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_all__code,axiom,
% 163.03/162.94 ! [V_P_2,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.03/162.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__ex__prod__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__all__prod__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_order__fun_I1_J,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Orderings_Oorder(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 163.03/162.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_order__fun_I2_J,axiom,
% 163.03/162.94 ! [V_g_2,V_f_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Orderings_Oorder(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 163.03/162.94 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__all__fun__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_enum__ex__fun__def,axiom,
% 163.03/162.94 ! [V_P_2,T_a,T_b] :
% 163.03/162.94 ( ( class_Enum_Oenum(T_b)
% 163.03/162.94 & class_Enum_Oenum(T_a) )
% 163.03/162.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 163.03/162.94 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_map__of__zip__enum__is__Some,axiom,
% 163.03/162.94 ! [V_x,V_ys,T_b,T_a] :
% 163.03/162.94 ( class_Enum_Oenum(T_a)
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))
% 163.03/162.94 => ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a)),V_ys)),V_x) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__eq__filter,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_a] :
% 163.03/162.94 ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 163.03/162.94 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 163.03/162.94 ( ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) )
% 163.03/162.94 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) )
% 163.03/162.94 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_length__takeWhile__less__P__nth,axiom,
% 163.03/162.94 ! [V_xs_2,T_a,V_P_2,V_j_2] :
% 163.03/162.94 ( ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 163.03/162.94 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 163.03/162.94 => ( 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_a)),V_xs_2)))
% 163.03/162.94 => 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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__Int__eq,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_lists__IntI,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_l_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2)))
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2)))
% 163.03/162.94 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp_ONil,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_append__in__listsp__conv,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 163.03/162.94 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_in__listsp__conv__set,axiom,
% 163.03/162.94 ! [V_xs_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 163.03/162.94 <=> ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp_Oequations_I1_J,axiom,
% 163.03/162.94 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp__conj__eq,axiom,
% 163.03/162.94 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 163.03/162.94 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2))
% 163.03/162.94 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp__infI,axiom,
% 163.03/162.94 ! [V_B_2,V_l_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2))
% 163.03/162.94 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2))
% 163.03/162.94 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp__inf__eq,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp_Oequations_I2_J,axiom,
% 163.03/162.94 ! [V_a2_2,V_a1_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2)))
% 163.03/162.94 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 163.03/162.94 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp__mono,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_listsp__lists__eq,axiom,
% 163.03/162.94 ! [V_x_2,V_A_2,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 163.03/162.94 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__def,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.94 & ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_sorted_Osimps,axiom,
% 163.03/162.94 ! [V_a_2,T_a] :
% 163.03/162.94 ( class_Orderings_Olinorder(T_a)
% 163.03/162.94 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2)
% 163.03/162.94 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 163.03/162.94 | ? [B_xs,B_x] :
% 163.03/162.94 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 163.03/162.94 & ! [B_xa] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) )
% 163.03/162.94 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__Cons,axiom,
% 163.03/162.94 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 163.03/162.94 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.03/162.94 & c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__map1,axiom,
% 163.03/162.94 ! [V_bs_2,V_as_2,V_f_2,T_c,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2)
% 163.03/162.94 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__map2,axiom,
% 163.03/162.94 ! [V_bs_2,V_f_2,T_c,V_as_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2))
% 163.03/162.94 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__eq,axiom,
% 163.03/162.94 ! [T_a,V_ys_2,V_xs_2] :
% 163.03/162.94 ( V_xs_2 = V_ys_2
% 163.03/162.94 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__lengthD,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__dropI,axiom,
% 163.03/162.94 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,V_bs_2)
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__takeI,axiom,
% 163.03/162.94 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__Nil2,axiom,
% 163.03/162.94 ! [V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,c_List_Olist_ONil(T_b))
% 163.03/162.94 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__Nil,axiom,
% 163.03/162.94 ! [V_ys_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,c_List_Olist_ONil(T_a),V_ys_2)
% 163.03/162.94 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__rev1,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2)
% 163.03/162.94 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__rev,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2))
% 163.03/162.94 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__append,axiom,
% 163.03/162.94 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.03/162.94 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.94 => ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))
% 163.03/162.94 <=> ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 & c_List_Olist__all2(T_a,T_b,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__appendI,axiom,
% 163.03/162.94 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2)
% 163.03/162.94 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_ca_2,V_d_2)
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__nthD2,axiom,
% 163.03/162.94 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => ( 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_ys_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__nthD,axiom,
% 163.03/162.94 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__conv__all__nth,axiom,
% 163.03/162.94 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 163.03/162.94 & ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__update__cong,axiom,
% 163.03/162.94 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_b,V_xs_2,T_a,V_i_2] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.94 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2__update__cong2,axiom,
% 163.03/162.94 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 163.03/162.94 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 163.03/162.94 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.03/162.94 => ( 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_ys_2)))
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_list__all2I,axiom,
% 163.03/162.94 ! [V_P_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.94 ( ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2))))
% 163.03/162.94 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) )
% 163.03/162.94 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 163.03/162.94 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_SigmaE,axiom,
% 163.03/162.94 ! [V_B_2,V_A_2,V_ca_2,T_b,T_a] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 163.03/162.94 => ~ ! [B_x] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.03/162.94 => ! [B_y] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))
% 163.03/162.94 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ).
% 163.03/162.94
% 163.03/162.94 fof(fact_all__nth__imp__all__set,axiom,
% 163.03/162.94 ! [V_x_2,V_P_2,V_xs_2,T_a] :
% 163.03/162.94 ( ! [B_i] :
% 163.03/162.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.95 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 163.03/162.95 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.95 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_List_Oinsert__def,axiom,
% 163.03/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.95 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.95 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 )
% 163.03/162.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.95 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_distinct__insert,axiom,
% 163.03/162.95 ! [V_x,V_xs,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.03/162.95 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_insert__remdups,axiom,
% 163.03/162.95 ! [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)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_in__set__insert,axiom,
% 163.03/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.95 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_List_Oset__insert,axiom,
% 163.03/162.95 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_insert__Nil,axiom,
% 163.03/162.95 ! [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)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_not__in__set__insert,axiom,
% 163.03/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.03/162.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.03/162.95 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_escape,axiom,
% 163.03/162.95 ! [V_Q_2,V_ca_2,V_G_2,T_a,V_P_2] :
% 163.03/162.95 ( ! [B_Z,B_s] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 163.03/162.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) )
% 163.03/162.95 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 163.03/162.95 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 163.03/162.95 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.95 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.95 => ( V_A_2 = V_B_2
% 163.03/162.95 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.95 => ( ! [B_x] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.95 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.03/162.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_concat__map__maps,axiom,
% 163.03/162.95 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_maps__def,axiom,
% 163.03/162.95 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_maps__simps_I2_J,axiom,
% 163.03/162.95 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_maps__simps_I1_J,axiom,
% 163.03/162.95 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_finite__conv__nat__seg__image,axiom,
% 163.03/162.95 ! [V_A_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.03/162.95 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_distinct__concat,axiom,
% 163.03/162.95 ! [V_xs_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2))
% 163.03/162.95 => ( ! [B_ys] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.95 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) )
% 163.03/162.95 => ( ! [B_ys] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.95 => ! [B_zs] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 163.03/162.95 => ( B_ys != B_zs
% 163.03/162.95 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 163.03/162.95 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 163.03/162.95 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 163.03/162.95 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 163.03/162.95 & class_Groups_Ocomm__monoid__mult(T_a) )
% 163.03/162.95 => ( V_A_2 = V_B_2
% 163.03/162.95 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.03/162.95 => ( ! [B_x] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.03/162.95 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.03/162.95 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_accp__acc__eq,axiom,
% 163.03/162.95 ! [V_x_2,V_r_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))
% 163.03/162.95 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_Cons__acc__listrel1I,axiom,
% 163.03/162.95 ! [V_xs_2,V_r_2,V_x_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 163.03/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_lists__accD,axiom,
% 163.03/162.95 ! [V_r_2,V_xs_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2))))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_lists__accI,axiom,
% 163.03/162.95 ! [V_r_2,V_xs_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_acc__subset,axiom,
% 163.03/162.95 ! [V_R2_2,V_R1_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_acc__downward,axiom,
% 163.03/162.95 ! [V_a_2,V_r_2,V_b_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 163.03/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_acc_Osimps,axiom,
% 163.03/162.95 ! [V_r_2,V_a_2,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 163.03/162.95 <=> ! [B_x] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_measures__lesseq,axiom,
% 163.03/162.95 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 163.03/162.95 ( 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)))
% 163.03/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2)))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__def,axiom,
% 163.03/162.95 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),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_a,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(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_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(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_a),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),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_s_2))))) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__compI,axiom,
% 163.03/162.95 ! [V_s_2,V_ca_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.03/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 163.03/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_ca_2)),V_s_2))
% 163.03/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__UNION__distrib,axiom,
% 163.03/162.95 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__UNION__distrib2,axiom,
% 163.03/162.95 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__distrib,axiom,
% 163.03/162.95 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__distrib2,axiom,
% 163.03/162.95 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_O__assoc,axiom,
% 163.03/162.95 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__empty1,axiom,
% 163.03/162.95 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__empty2,axiom,
% 163.03/162.95 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_union__comp__emptyR,axiom,
% 163.03/162.95 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 163.03/162.95 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.03/162.95 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.03/162.95 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_union__comp__emptyL,axiom,
% 163.03/162.95 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 163.03/162.95 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.03/162.95 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.03/162.95 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 163.03/162.95
% 163.03/162.95 fof(fact_rel__comp__mono,axiom,
% 163.20/162.95 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__comp__subset__Sigma,axiom,
% 163.20/162.95 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_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))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__measures_I1_J,axiom,
% 163.20/162.95 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measures__def,axiom,
% 163.20/162.95 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_max__ext__compat,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_min__ext__compat,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measures__less,axiom,
% 163.20/162.95 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 163.20/162.95 ( 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)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__measures_I2_J,axiom,
% 163.20/162.95 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 163.20/162.95 <=> ( 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)))
% 163.20/162.95 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pred__comp__rel__comp__eq,axiom,
% 163.20/162.95 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 163.20/162.95 ( c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),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)
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_reduction__pairI,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 163.20/162.95 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__less__than,axiom,
% 163.20/162.95 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pred__comp_Ointros,axiom,
% 163.20/162.95 ! [T_c,T_b,T_a,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 163.20/162.95 => c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2,V_a_2,V_ca_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__empty,axiom,
% 163.20/162.95 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__inv__image,axiom,
% 163.20/162.95 ! [V_f_2,T_b,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__lex,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__lex__prod,axiom,
% 163.20/162.95 ! [V_rb_2,T_b,V_ra_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_ra_2)
% 163.20/162.95 => ( c_Wellfounded_Owf(T_b,V_rb_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__lenlex,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__measure,axiom,
% 163.20/162.95 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__acc__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acc__wfD,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__measures,axiom,
% 163.20/162.95 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__comp__self,axiom,
% 163.20/162.95 ! [V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__union__merge,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 163.20/162.95 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__no__loop,axiom,
% 163.20/162.95 ! [V_R_2,T_a] :
% 163.20/162.95 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfE__pf,axiom,
% 163.20/162.95 ! [V_A_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2)))
% 163.20/162.95 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__Int1,axiom,
% 163.20/162.95 ! [V_r_H_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__Int2,axiom,
% 163.20/162.95 ! [V_r_H_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__less,axiom,
% 163.20/162.95 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)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__subset,axiom,
% 163.20/162.95 ! [V_p_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__irrefl,axiom,
% 163.20/162.95 ! [V_a_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__asym,axiom,
% 163.20/162.95 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__not__sym,axiom,
% 163.20/162.95 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__not__refl,axiom,
% 163.20/162.95 ! [V_a_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_min__ext__wf,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__finite__psubset,axiom,
% 163.20/162.95 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__mlex,axiom,
% 163.20/162.95 ! [V_f_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pred__comp_Oequations,axiom,
% 163.20/162.95 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 163.20/162.95 ( c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2,V_a1_2,V_a3_2)
% 163.20/162.95 <=> ? [B_b] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 163.20/162.95 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__pair__less,axiom,
% 163.20/162.95 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_max__ext__wf,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__int__ge__less__than2,axiom,
% 163.20/162.95 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__int__ge__less__than,axiom,
% 163.20/162.95 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__lexn,axiom,
% 163.20/162.95 ! [V_n_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 <=> ~ ? [B_f] :
% 163.20/162.95 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__union__compatible,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf,axiom,
% 163.20/162.95 ! [T_a] :
% 163.20/162.95 ( class_Orderings_Owellorder(T_a)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_reduction__pair__def,axiom,
% 163.20/162.95 ! [V_P_2,T_a] :
% 163.20/162.95 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 163.20/162.95 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_reduction__pair__lemma,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,V_P_2,T_a] :
% 163.20/162.95 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 163.20/162.95 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__map__pair__image,axiom,
% 163.20/162.95 ! [V_f_2,T_b,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 163.20/162.95 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__if__measure,axiom,
% 163.20/162.95 ! [T_a,V_g_2,V_f_2,V_P_2] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 => 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))) )
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_max__extp_Oequations,axiom,
% 163.20/162.95 ! [V_a2_2,V_a1_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2)
% 163.20/162.95 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 163.20/162.95 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 163.20/162.95 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 & ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 163.20/162.95 => ? [B_xa] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pred__nat__def,axiom,
% 163.20/162.95 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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__same__fst,axiom,
% 163.20/162.95 ! [T_a,V_R_2,T_b,V_P_2] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) )
% 163.20/162.95 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__pred__nat,axiom,
% 163.20/162.95 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_max__ext_Ointros,axiom,
% 163.20/162.95 ! [V_R_2,V_Y_2,V_X_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2))
% 163.20/162.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2))
% 163.20/162.95 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2))
% 163.20/162.95 => ? [B_xa] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oone__frac__def,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Ofrac__def,axiom,
% 163.20/162.95 ! [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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Collect__split,axiom,
% 163.20/162.95 ! [V_P_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_P_2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_RangeI,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__empty__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_a,T_b] :
% 163.20/162.95 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__empty,axiom,
% 163.20/162.95 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Un__eq,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Union,axiom,
% 163.20/162.95 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Id__on,axiom,
% 163.20/162.95 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__Range,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_snd__eq__Range,axiom,
% 163.20/162.95 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_b,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 163.20/162.95 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__insert,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Int__subset,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Diff__subset,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_RangeP__Range__eq,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_RangeE,axiom,
% 163.20/162.95 ! [V_r_2,T_b,V_b_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 163.20/162.95 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_RangeP_Ointros,axiom,
% 163.20/162.95 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.20/162.95 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_RangeP_Oequations,axiom,
% 163.20/162.95 ! [V_a2_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2))
% 163.20/162.95 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__Un,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ( c_Wellfounded_Owf(T_a,V_s_2)
% 163.20/162.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_foldl__apply,axiom,
% 163.20/162.95 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) )
% 163.20/162.95 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_DomainI,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__mono,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__empty__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] :
% 163.20/162.95 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__empty,axiom,
% 163.20/162.95 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Un__eq,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Id__on,axiom,
% 163.20/162.95 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__Domain,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_fst__eq__Domain,axiom,
% 163.20/162.95 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_b,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 163.20/162.95 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__insert,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Int__subset,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Diff__subset,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Field__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Union,axiom,
% 163.20/162.95 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Collect__split,axiom,
% 163.20/162.95 ! [V_P_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_P_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_DomainP__Domain__eq,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_DomainE,axiom,
% 163.20/162.95 ! [V_r_2,T_b,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 163.20/162.95 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_DomainP_Ointros,axiom,
% 163.20/162.95 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.20/162.95 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_DomainP_Oequations,axiom,
% 163.20/162.95 ! [V_a1_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2))
% 163.20/162.95 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 163.20/162.95 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Rep__Integ__induct,axiom,
% 163.20/162.95 ! [V_P_2,V_y_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.20/162.95 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__empty,axiom,
% 163.20/162.95 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__subset,axiom,
% 163.20/162.95 ! [V_p_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2))
% 163.20/162.95 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__accp__iff,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 163.20/162.95 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_accp__wfPD,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 163.20/162.95 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__in__rel,axiom,
% 163.20/162.95 ! [V_R_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_R_2)
% 163.20/162.95 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__wf__eq,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2))
% 163.20/162.95 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__acyclicP,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Rep__Integ__cases,axiom,
% 163.20/162.95 ! [V_y_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.20/162.95 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__acyclic,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acyclic__subset,axiom,
% 163.20/162.95 ! [V_r_2,V_s_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 163.20/162.95 => ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__acyclic__wf,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 163.20/162.95 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Owf_H__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Nitpick_Owf_H(T_a,V_r_2)
% 163.20/162.95 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 163.20/162.95 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 163.20/162.95 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_inj__on__INTER,axiom,
% 163.20/162.95 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] :
% 163.20/162.95 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 => ( ! [B_i] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2))
% 163.20/162.95 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) )
% 163.20/162.95 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_zip__obtain__same__length,axiom,
% 163.20/162.95 ! [V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 163.20/162.95 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = 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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) )
% 163.20/162.95 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_map__of__eqI,axiom,
% 163.20/162.95 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 163.20/162.95 ( hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)) = hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))))
% 163.20/162.95 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2),B_x) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),B_x) )
% 163.20/162.95 => hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_the__eq__trivial,axiom,
% 163.20/162.95 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_the__sym__eq__trivial,axiom,
% 163.20/162.95 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pigeonhole__infinite,axiom,
% 163.20/162.95 ! [V_f_2,T_b,V_A_2,T_a] :
% 163.20/162.95 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.20/162.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 163.20/162.95 => ? [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.20/162.95 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Abs__Integ__induct,axiom,
% 163.20/162.95 ! [V_x_2,V_P_2] :
% 163.20/162.95 ( ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 163.20/162.95 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Abs__Integ__cases,axiom,
% 163.20/162.95 ! [V_x_2] :
% 163.20/162.95 ~ ! [B_y] :
% 163.20/162.95 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__UN__I,axiom,
% 163.20/162.95 ! [V_B_2,T_b,V_A_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.20/162.95 => ( ! [B_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 163.20/162.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 163.20/162.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_inj__on__diff__nat,axiom,
% 163.20/162.95 ! [V_k_2,V_N_2] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 163.20/162.95 => 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) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfP__SUP,axiom,
% 163.20/162.95 ! [T_a,V_r_2,T_b] :
% 163.20/162.95 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i))
% 163.20/162.95 => ( ! [B_i,B_j] :
% 163.20/162.95 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 163.20/162.95 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.20/162.95 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__not__random__dseq__def,axiom,
% 163.20/162.95 ! [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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_dropWhile__append2,axiom,
% 163.20/162.95 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_P_2,V_ys_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all2__all__nthI,axiom,
% 163.20/162.95 ! [V_P_2,V_b_2,T_b,V_a_2,T_a] :
% 163.20/162.95 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 163.20/162.95 => ( ! [B_n] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) )
% 163.20/162.95 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_mem__splitE,axiom,
% 163.20/162.95 ! [V_p_2,V_ca_2,T_c,T_b,V_z_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),V_p_2)))
% 163.20/162.95 => ~ ! [B_x,B_y] :
% 163.20/162.95 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_mem__splitI2,axiom,
% 163.20/162.95 ! [V_ca_2,V_z_2,T_c,T_b,T_a,V_p_2] :
% 163.20/162.95 ( ! [B_a,B_b] :
% 163.20/162.95 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__sorted__distinct__unique,axiom,
% 163.20/162.95 ! [V_A_2,T_a] :
% 163.20/162.95 ( class_Orderings_Olinorder(T_a)
% 163.20/162.95 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 163.20/162.95 => ? [B_x] :
% 163.20/162.95 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2
% 163.20/162.95 & c_List_Olinorder__class_Osorted(T_a,B_x)
% 163.20/162.95 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x))
% 163.20/162.95 & ! [B_y] :
% 163.20/162.95 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2
% 163.20/162.95 & c_List_Olinorder__class_Osorted(T_a,B_y)
% 163.20/162.95 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) )
% 163.20/162.95 => B_y = B_x ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_takeWhile__append2,axiom,
% 163.20/162.95 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_P_2,V_ys_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_insort__is__Cons,axiom,
% 163.20/162.95 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] :
% 163.20/162.95 ( class_Orderings_Olinorder(T_b)
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 163.20/162.95 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wfI__pf,axiom,
% 163.20/162.95 ! [V_R_2,T_a] :
% 163.20/162.95 ( ! [B_A] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A)))
% 163.20/162.95 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 163.20/162.95 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_filter__eq__Cons__iff,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_a] :
% 163.20/162.95 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 163.20/162.95 <=> ? [B_us,B_vs] :
% 163.20/162.95 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 163.20/162.95 & ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 163.20/162.95 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 & hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Cons__eq__filter__iff,axiom,
% 163.20/162.95 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 163.20/162.95 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)
% 163.20/162.95 <=> ? [B_us,B_vs] :
% 163.20/162.95 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 163.20/162.95 & ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 163.20/162.95 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 & hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Sigma__mono,axiom,
% 163.20/162.95 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acc_OaccI,axiom,
% 163.20/162.95 ! [V_r_2,V_x_2,T_a] :
% 163.20/162.95 ( ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_not__acc__down,axiom,
% 163.20/162.95 ! [V_R_2,V_x_2,T_a] :
% 163.20/162.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 163.20/162.95 => ~ ! [B_z] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ball__nth,axiom,
% 163.20/162.95 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_max__ext_Osimps,axiom,
% 163.20/162.95 ! [V_R_2,V_a2_2,V_a1_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 163.20/162.95 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 163.20/162.95 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 163.20/162.95 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 163.20/162.95 & ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 163.20/162.95 => ? [B_xa] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_sorted_OCons,axiom,
% 163.20/162.95 ! [V_x_2,V_xs_2,T_a] :
% 163.20/162.95 ( class_Orderings_Olinorder(T_a)
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) )
% 163.20/162.95 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 163.20/162.95 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__no__infinite__down__chainE,axiom,
% 163.20/162.95 ! [V_f_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__length,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ? [B_n] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.20/162.95 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_less__eq,axiom,
% 163.20/162.95 ! [V_n_2,V_m_2] :
% 163.20/162.95 ( 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_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__trancl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__simps_I1_J,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 163.20/162.95 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 | c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__iff,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ? [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__rev,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 163.20/162.95 <=> c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__append,axiom,
% 163.20/162.95 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 163.20/162.95 <=> ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 163.20/162.95 | c_List_Olist__ex(T_a,V_P_2,V_ys_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex__simps_I2_J,axiom,
% 163.20/162.95 ! [V_P_2,T_a] : ~ c_List_Olist__ex(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_less__than__def,axiom,
% 163.20/162.95 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acyclic__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 163.20/162.95 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl_Or__into__trancl,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__subset__Field2,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_r__into__trancl_H,axiom,
% 163.20/162.95 ! [V_r_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__empty,axiom,
% 163.20/162.95 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__domain,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__range,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__trancl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_r__r__into__trancl,axiom,
% 163.20/162.95 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_R_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__into__trancl2,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__trans,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__mono,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__unfold,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__subset__Sigma,axiom,
% 163.20/162.95 ! [V_A_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__Int__subset,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__insert,axiom,
% 163.20/162.95 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_reflcl__set__eq,axiom,
% 163.20/162.95 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_r__into__rtrancl,axiom,
% 163.20/162.95 ! [V_r_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 163.20/162.95 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_IdI,axiom,
% 163.20/162.95 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__into__rtrancl,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel__rtrancl__refl,axiom,
% 163.20/162.95 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__trancl__trancl,axiom,
% 163.20/162.95 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__rtrancl__trancl,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__into__trancl1,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtranclD,axiom,
% 163.20/162.95 ! [V_R_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 => ( V_a_2 = V_b_2
% 163.20/162.95 | ( V_a_2 != V_b_2
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__into__trancl2,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__eq__or__trancl,axiom,
% 163.20/162.95 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 <=> ( V_x_2 = V_y_2
% 163.20/162.95 | ( V_x_2 != V_y_2
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__rtrancl__absorb,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__trancl__absorb,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_reflcl__trancl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__reflcl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__unfold__right,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__unfold__left,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_r__comp__rtrancl__eq,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__idemp__self__comp,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__unfold,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__Int__subset,axiom,
% 163.20/162.95 ! [V_r_2,V_s_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__Un__subset,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__mono,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__subset,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__subset__rtrancl,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Image__closed__trancl,axiom,
% 163.20/162.95 ! [V_X_2,V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2))
% 163.20/162.95 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__empty,axiom,
% 163.20/162.95 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__rtrancl__UnI,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,V_x_2,T_a] :
% 163.20/162.95 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__reflcl,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__Un__rtrancl,axiom,
% 163.20/162.95 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__reflcl__absorb,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__r__diff__Id,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__idemp,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__trans,axiom,
% 163.20/162.95 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_refl__rtrancl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__rtrancl,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__rtrancl,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__Id,axiom,
% 163.20/162.95 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__Id,axiom,
% 163.20/162.95 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel__rtrancl__trans,axiom,
% 163.20/162.95 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 163.20/162.95 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_refl__Id,axiom,
% 163.20/162.95 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pair__in__Id__conv,axiom,
% 163.20/162.95 ! [V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))
% 163.20/162.95 <=> V_a_2 = V_b_2 ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Image__Id,axiom,
% 163.20/162.95 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Id__O__R,axiom,
% 163.20/162.95 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_R__O__Id,axiom,
% 163.20/162.95 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pair__leq__def,axiom,
% 163.20/162.95 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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Not__Domain__rtrancl,axiom,
% 163.20/162.95 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 163.20/162.95 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 <=> V_x_2 = V_y_2 ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acc__downwards,axiom,
% 163.20/162.95 ! [V_b_2,V_r_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acc__downwards__aux,axiom,
% 163.20/162.95 ! [V_r_2,V_a_2,V_b_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__insert,axiom,
% 163.20/162.95 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 163.20/162.95 <=> ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 163.20/162.95 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 163.20/162.95 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acyclic__insert,axiom,
% 163.20/162.95 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 163.20/162.95 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 163.20/162.95 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 163.20/162.95 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 163.20/162.95 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_refl__reflcl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Id__def,axiom,
% 163.20/162.95 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_irrefl__diff__Id,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pred__nat__trancl__eq__le,axiom,
% 163.20/162.95 ! [V_n_2,V_m_2] :
% 163.20/162.95 ( 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_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__subset__Sigma__aux,axiom,
% 163.20/162.95 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 163.20/162.95 => ( V_a_2 = V_b_2
% 163.20/162.95 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_irrefl__tranclI,axiom,
% 163.20/162.95 ! [V_x_2,V_r_2,T_a] :
% 163.20/162.95 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_sequence__trans,axiom,
% 163.20/162.95 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] :
% 163.20/162.95 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),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_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__converseI,axiom,
% 163.20/162.95 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__converseD,axiom,
% 163.20/162.95 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__Id,axiom,
% 163.20/162.95 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acyclic__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 163.20/162.95 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__UNION,axiom,
% 163.20/162.95 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__rel__comp,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equiv__comp__eq,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 163.20/162.95 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__inv__image,axiom,
% 163.20/162.95 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__Un,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__listrel1__converse,axiom,
% 163.20/162.95 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_listrel1__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__INTER,axiom,
% 163.20/162.95 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Field__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__Id__on,axiom,
% 163.20/162.95 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 163.20/162.95 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__iff,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converseI,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converseD,axiom,
% 163.20/162.95 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_refl__on__converse,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 163.20/162.95 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__Int,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Domain__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Range__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__converseI,axiom,
% 163.20/162.95 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__converseD,axiom,
% 163.20/162.95 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__converse__trancl,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Image__subset__eq,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2))
% 163.20/162.95 <=> 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)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_refl__on__comp__subset,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_comp__equivI,axiom,
% 163.20/162.95 ! [V_A_2,V_r_2,T_a] :
% 163.20/162.95 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2
% 163.20/162.95 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2
% 163.20/162.95 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__acyclic__wf__converse,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 163.20/162.95 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 163.20/162.95 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converse__def,axiom,
% 163.20/162.95 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),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_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Image__INT__eq,axiom,
% 163.20/162.95 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))
% 163.20/162.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.20/162.95 => hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_total__on__diff__Id,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))
% 163.20/162.95 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__Id,axiom,
% 163.20/162.95 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_total__on__converse,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 163.20/162.95 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__Id__on,axiom,
% 163.20/162.95 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_total__on__empty,axiom,
% 163.20/162.95 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__subset,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 163.20/162.95 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 163.20/162.95 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__rel__comp,axiom,
% 163.20/162.95 ! [V_s_2,T_c,V_r_2,T_b,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 163.20/162.95 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 163.20/162.95 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valuedD,axiom,
% 163.20/162.95 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2))
% 163.20/162.95 => V_y_2 = V_z_2 ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__def,axiom,
% 163.20/162.95 ! [V_r_2,T_b,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 163.20/162.95 <=> ! [B_x,B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))
% 163.20/162.95 => ! [B_z] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))
% 163.20/162.95 => B_y = B_z ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_total__on__def,axiom,
% 163.20/162.95 ! [V_r_2,V_A_2,T_a] :
% 163.20/162.95 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 163.20/162.95 <=> ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.20/162.95 => ! [B_xa] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 163.20/162.95 => ( B_x != B_xa
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2))
% 163.20/162.95 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__confluent,axiom,
% 163.20/162.95 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 163.20/162.95 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Image__Int__eq,axiom,
% 163.20/162.95 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2))
% 163.20/162.95 => hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 163.20/162.95 ! [V_R_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_acyclicI,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 163.20/162.95 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_single__valued__rel__pow,axiom,
% 163.20/162.95 ! [V_n_2,V_R_2,T_a] :
% 163.20/162.95 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2)
% 163.20/162.95 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__0__E,axiom,
% 163.20/162.95 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 163.20/162.95 => V_x_2 = V_y_2 ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__0__I,axiom,
% 163.20/162.95 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__Suc__I2,axiom,
% 163.20/162.95 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__Suc__I,axiom,
% 163.20/162.95 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow__swap1,axiom,
% 163.20/162.95 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow__mult,axiom,
% 163.20/162.95 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_comp__funpow,axiom,
% 163.20/162.95 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__exp,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))
% 163.20/162.95 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__1,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 163.20/162.95
% 163.20/162.95 fof(fact_relpow_Osimps_I2_J,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__commute,axiom,
% 163.20/162.95 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__add,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow__add,axiom,
% 163.20/162.95 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow_Osimps_I2_J,axiom,
% 163.20/162.95 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__imp__rtrancl,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__power,axiom,
% 163.20/162.95 ! [V_R_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_relpow_Osimps_I1_J,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow_Osimps_I1_J,axiom,
% 163.20/162.95 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_trancl__power,axiom,
% 163.20/162.95 ! [V_R_2,V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 163.20/162.95 <=> ? [B_n] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 163.20/162.95 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_funpow__code__def,axiom,
% 163.20/162.95 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__E2,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.20/162.95 => V_x_2 != V_z_2 )
% 163.20/162.95 => ~ ! [B_y,B_m] :
% 163.20/162.95 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rotate__def,axiom,
% 163.20/162.95 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__E,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.20/162.95 => V_x_2 != V_z_2 )
% 163.20/162.95 => ~ ! [B_y,B_m] :
% 163.20/162.95 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2)))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__Un__separatorE,axiom,
% 163.20/162.95 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 163.20/162.95 => ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Q_2))
% 163.20/162.95 => B_x = B_y ) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 163.20/162.95 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 163.20/162.95 => ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Q_2))
% 163.20/162.95 => B_y = B_x ) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__Suc__D2,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.20/162.95 => ? [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__Suc__E,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.20/162.95 => ~ ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__pow__Suc__E2,axiom,
% 163.20/162.95 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 163.20/162.95 => ~ ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_tranclD,axiom,
% 163.20/162.95 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 163.20/162.95 => ? [B_z] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_tranclD2,axiom,
% 163.20/162.95 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 163.20/162.95 => ? [B_z] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 163.20/162.95 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_IdE,axiom,
% 163.20/162.95 ! [V_p_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a)))
% 163.20/162.95 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__set__conv__decomp,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__set__conv__decomp__first,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 <=> ? [B_ys] :
% 163.20/162.95 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 163.20/162.95 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_in__set__conv__decomp__last,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 <=> ? [B_ys,B_zs] :
% 163.20/162.95 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 163.20/162.95 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_wf__eq__minimal,axiom,
% 163.20/162.95 ! [V_r_2,T_a] :
% 163.20/162.95 ( c_Wellfounded_Owf(T_a,V_r_2)
% 163.20/162.95 <=> ! [B_Q] :
% 163.20/162.95 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 163.20/162.95 => ? [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 163.20/162.95 & ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_transfer__nat__int__set__cong,axiom,
% 163.20/162.95 ! [V_P_H_2,V_P_2] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.20/162.95 => ( hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 163.20/162.95 => 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_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)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Int__Collect__mono,axiom,
% 163.20/162.95 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.20/162.95 => ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 163.20/162.95 => ( hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Q_2)))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_converseE,axiom,
% 163.20/162.95 ! [V_r_2,V_yx_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 163.20/162.95 => ~ ! [B_x,B_y] :
% 163.20/162.95 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x)
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_rel__compE,axiom,
% 163.20/162.95 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2)))
% 163.20/162.95 => ~ ! [B_x,B_y,B_z] :
% 163.20/162.95 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2))
% 163.20/162.95 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 163.20/162.95 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),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_a),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_a),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_a),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_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oof__frac__def,axiom,
% 163.20/162.95 ! [V_q,T_a,T_b] :
% 163.20/162.95 ( ( class_Rings_Oinverse(T_b)
% 163.20/162.95 & class_Rings_Oring__1(T_b) )
% 163.20/162.95 => 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))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 163.20/162.95 ! [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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oless__frac__def,axiom,
% 163.20/162.95 ! [V_r_2,V_q_2,T_a] :
% 163.20/162.95 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2)
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 163.20/162.95 ! [V_r_2,V_q_2,T_a] :
% 163.20/162.95 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2)
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Odenom__def,axiom,
% 163.20/162.95 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Nitpick_Onum__def,axiom,
% 163.20/162.95 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__length,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ! [B_n] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_internal__split__def,axiom,
% 163.20/162.95 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_Ball__set__list__all,axiom,
% 163.20/162.95 ! [V_P_2,V_xs_2,T_a] :
% 163.20/162.95 ( ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.20/162.95 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__simps_I1_J,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 163.20/162.95 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 & c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__iff,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__rev,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 163.20/162.95 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__append,axiom,
% 163.20/162.95 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 163.20/162.95 <=> ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 163.20/162.95 & c_List_Olist__all(T_a,V_P_2,V_ys_2) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__simps_I2_J,axiom,
% 163.20/162.95 ! [V_P_2,T_a] : c_List_Olist__all(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__all__iff__raw,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_internal__split__conv,axiom,
% 163.20/162.95 ! [V_b_2,V_a_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex1__simps_I2_J,axiom,
% 163.20/162.95 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex1(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 163.20/162.95 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 163.20/162.95 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.20/162.95 => c_List_Olist__ex1(T_a,V_P_2,V_xs_2) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_finite__less__ub,axiom,
% 163.20/162.95 ! [V_u_2,V_f_2] :
% 163.20/162.95 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 163.20/162.95 => 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)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex1__simps_I1_J,axiom,
% 163.20/162.95 ! [V_P_2,T_a] : ~ c_List_Olist__ex1(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_exists1__code,axiom,
% 163.20/162.95 ! [V_P_2,T_a] :
% 163.20/162.95 ( class_Enum_Oenum(T_a)
% 163.20/162.95 => ( ? [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 & ! [B_y] :
% 163.20/162.95 ( hBOOL(hAPP(V_P_2,B_y))
% 163.20/162.95 => B_y = B_x ) )
% 163.20/162.95 <=> c_List_Olist__ex1(T_a,V_P_2,c_Enum_Oenum__class_Oenum(T_a)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_list__ex1__iff,axiom,
% 163.20/162.95 ! [V_xs_2,V_P_2,T_a] :
% 163.20/162.95 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2)
% 163.20/162.95 <=> ? [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 & hBOOL(hAPP(V_P_2,B_x))
% 163.20/162.95 & ! [B_y] :
% 163.20/162.95 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 163.20/162.95 & hBOOL(hAPP(V_P_2,B_y)) )
% 163.20/162.95 => B_y = B_x ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measure__function__int,axiom,
% 163.20/162.95 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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equal__fun__def,axiom,
% 163.20/162.95 ! [V_g_2,V_f_2,T_a,T_b] :
% 163.20/162.95 ( ( class_HOL_Oequal(T_b)
% 163.20/162.95 & class_Enum_Oenum(T_a) )
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 163.20/162.95 <=> ! [B_x] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a))))
% 163.20/162.95 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equal,axiom,
% 163.20/162.95 ! [T_a] :
% 163.20/162.95 ( class_HOL_Oequal(T_a)
% 163.20/162.95 => c_HOL_Oequal__class_Oequal(T_a) = c_fequal ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equal__refl,axiom,
% 163.20/162.95 ! [V_x,T_a] :
% 163.20/162.95 ( class_HOL_Oequal(T_a)
% 163.20/162.95 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equal__eq,axiom,
% 163.20/162.95 ! [V_y_2,V_x_2,T_a] :
% 163.20/162.95 ( class_HOL_Oequal(T_a)
% 163.20/162.95 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x_2),V_y_2))
% 163.20/162.95 <=> V_x_2 = V_y_2 ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__equal,axiom,
% 163.20/162.95 ! [T_a] :
% 163.20/162.95 ( class_HOL_Oequal(T_a)
% 163.20/162.95 => c_fequal = c_HOL_Oequal__class_Oequal(T_a) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measure__fst,axiom,
% 163.20/162.95 ! [T_b,V_f_2,T_a] :
% 163.20/162.95 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 163.20/162.95 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measure__snd,axiom,
% 163.20/162.95 ! [T_b,V_f_2,T_a] :
% 163.20/162.95 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 163.20/162.95 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_is__measure_Ointros,axiom,
% 163.20/162.95 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_is__measure_Oequations,axiom,
% 163.20/162.95 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_is__measure_Osimps,axiom,
% 163.20/162.95 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_measure__size,axiom,
% 163.20/162.95 ! [T_a] :
% 163.20/162.95 ( class_Nat_Osize(T_a)
% 163.20/162.95 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_transfer__morphism__int__nat,axiom,
% 163.20/162.95 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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 163.20/162.95 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 163.20/162.95 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.20/162.95 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) )
% 163.20/162.95 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.20/162.95 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I5_J,axiom,
% 163.20/162.95 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I2_J,axiom,
% 163.20/162.95 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I8_J,axiom,
% 163.20/162.95 ! [V_k2_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I12_J,axiom,
% 163.20/162.95 ! [V_k1_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I7_J,axiom,
% 163.20/162.95 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I11_J,axiom,
% 163.20/162.95 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I4_J,axiom,
% 163.20/162.95 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I10_J,axiom,
% 163.20/162.95 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I3_J,axiom,
% 163.20/162.95 ! [V_k2_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I9_J,axiom,
% 163.20/162.95 ! [V_k1_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I1_J,axiom,
% 163.20/162.95 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I16_J,axiom,
% 163.20/162.95 ! [V_k2_2,V_k1_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__number__of__int__code,axiom,
% 163.20/162.95 ! [V_l_2,V_k_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I13_J,axiom,
% 163.20/162.95 ! [V_k2_2,V_k1_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.20/162.95 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I6_J,axiom,
% 163.20/162.95 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_equal__int__def,axiom,
% 163.20/162.95 ! [V_l_2,V_k_2] :
% 163.20/162.95 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2))
% 163.20/162.95 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I14_J,axiom,
% 163.20/162.95 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__code_I15_J,axiom,
% 163.20/162.95 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_bool_Osize_I3_J,axiom,
% 163.20/162.95 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_bool_Osize_I4_J,axiom,
% 163.20/162.95 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 163.20/162.95 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_eq__int__refl,axiom,
% 163.20/162.95 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__empty__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 163.20/162.95 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__bind__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_size__code,axiom,
% 163.20/162.95 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_lazy__sequence__size__code,axiom,
% 163.20/162.95 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_seq__case,axiom,
% 163.20/162.95 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2)),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_yieldn__def,axiom,
% 163.20/162.95 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 163.20/162.95 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,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_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 163.20/162.95 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_lazy__sequence_Oinject,axiom,
% 163.20/162.95 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] :
% 163.20/162.95 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2)
% 163.20/162.95 <=> ( V_a_2 = V_a_H_2
% 163.20/162.95 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact__01,axiom,
% 163.20/162.95 ! [V_xq,V_x,T_a] : hAPP(c_Lazy__Sequence_Oyield(T_a),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq)) = hAPP(c_Option_Ooption_OSome(tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_x),V_xq)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 163.20/162.95 ! [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))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__map__def,axiom,
% 163.20/162.95 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 163.20/162.95 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 163.20/162.95 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.20/162.95 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) )
% 163.20/162.95 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.20/162.95 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__single__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Opos__single__def,axiom,
% 163.20/162.95 ! [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) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 163.20/162.95 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_neg__bind__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact__02,axiom,
% 163.20/162.95 ! [V_s2_2,V_s1_2,T_b,T_a] : c_Lazy__Sequence_Oproduct(T_a,T_b,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_a,tc_prod(T_a,T_b),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_a),c_Lazy__Sequence_Obind(T_b,tc_prod(T_a,T_b),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_a,T_b)),T_b),c_Lazy__Sequence_Osingle(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_neg__map__def,axiom,
% 163.20/162.95 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_small__lazy__list_Osimps,axiom,
% 163.20/162.95 ! [V_d_2,T_a] :
% 163.20/162.95 ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 163.20/162.95 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_a),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_a),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),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_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),c_Lazy__Sequence_Oproduct(T_a,tc_List_Olist(T_a),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,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_a),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_a,tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_a)))),c_List_Olist_OCons(T_a))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_a)))) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_small__lazy__prod__def,axiom,
% 163.20/162.95 ! [V_d,T_b,T_a] :
% 163.20/162.95 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 163.20/162.95 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 163.20/162.95 => 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)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(fact__03,axiom,
% 163.20/162.95 ! [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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_neg__single__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Opos__union__def,axiom,
% 163.20/162.95 ! [V_i_2,V_yq_2,V_xq_2,T_a] : hAPP(c_New__DSequence_Opos__union(T_a,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_a,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 163.20/162.95 ! [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) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_pos__union__def,axiom,
% 163.20/162.95 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_a] : c_New__Random__Sequence_Opos__union(T_a,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_a,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)) ).
% 163.20/162.95
% 163.20/162.95 fof(fact_small__lazy_H_Osimps,axiom,
% 163.20/162.95 ! [V_i,V_d] :
% 163.20/162.95 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.20/162.95 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 163.20/162.95 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.20/162.95 => 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)))) ) ) ).
% 163.20/162.95
% 163.20/162.95 %----Arity declarations (239)
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 163.20/162.95 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Obounded__lattice(T_1)
% 163.20/162.95 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 163.20/162.95 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Obounded__lattice(T_1)
% 163.20/162.95 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Obounded__lattice(T_1)
% 163.20/162.95 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Olattice(T_1)
% 163.20/162.95 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Olattice(T_1)
% 163.20/162.95 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Odistrib__lattice(T_1)
% 163.20/162.95 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Oboolean__algebra(T_1)
% 163.20/162.95 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Orderings_Opreorder,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Orderings_Opreorder(T_1)
% 163.20/162.95 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Finite__Set_Ofinite(T_2)
% 163.20/162.95 & class_Finite__Set_Ofinite(T_1) )
% 163.20/162.95 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Lattices_Olattice,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Lattices_Olattice(T_1)
% 163.20/162.95 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Orderings_Oorder,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Orderings_Oorder(T_1)
% 163.20/162.95 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Orderings_Otop,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Orderings_Otop(T_1)
% 163.20/162.95 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Orderings_Oord,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Orderings_Oord(T_1)
% 163.20/162.95 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Orderings_Obot,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Orderings_Obot(T_1)
% 163.20/162.95 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Groups_Ouminus,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Groups_Ouminus(T_1)
% 163.20/162.95 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Groups_Ominus,axiom,
% 163.20/162.95 ! [T_2,T_1] :
% 163.20/162.95 ( class_Groups_Ominus(T_1)
% 163.20/162.95 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Enum_Oenum(T_2)
% 163.20/162.95 & class_HOL_Oequal(T_1) )
% 163.20/162.95 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_fun__Enum_Oenum,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Enum_Oenum(T_2)
% 163.20/162.95 & class_Enum_Oenum(T_1) )
% 163.20/162.95 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ocom__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Com_Ocom) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Com_Ocom) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.20/162.95 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 163.20/162.95 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 163.20/162.95 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 163.20/162.95 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 163.20/162.95 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 163.20/162.95 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 163.20/162.95 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 163.20/162.95 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 163.20/162.95 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 163.20/162.95 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 163.20/162.95 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 163.20/162.95 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 163.20/162.95 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 163.20/162.95 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 163.20/162.95 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 163.20/162.95 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 163.20/162.95 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 163.20/162.95 class_Orderings_Opreorder(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 163.20/162.95 class_Orderings_Olinorder(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 163.20/162.95 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 163.20/162.95 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 163.20/162.95 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Smallcheck_Osmall,axiom,
% 163.20/162.95 class_Smallcheck_Osmall(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 163.20/162.95 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 163.20/162.95 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 163.20/162.95 class_Lattices_Olattice(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 163.20/162.95 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 163.20/162.95 class_Divides_Oring__div(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 163.20/162.95 class_Rings_Omult__zero(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 163.20/162.95 class_Orderings_Oorder(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 163.20/162.95 class_Int_Oring__char__0(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 163.20/162.95 class_Int_Onumber__ring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 163.20/162.95 class_Rings_Osemiring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 163.20/162.95 class_Orderings_Oord(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 163.20/162.95 class_Groups_Ouminus(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 163.20/162.95 class_Groups_Osgn__if(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 163.20/162.95 class_Groups_Oabs__if(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 163.20/162.95 class_Rings_Oring__1(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 163.20/162.95 class_Groups_Ominus(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Power_Opower,axiom,
% 163.20/162.95 class_Power_Opower(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 163.20/162.95 class_Groups_Ozero(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oring,axiom,
% 163.20/162.95 class_Rings_Oring(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 163.20/162.95 class_Rings_Oidom(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Int_Onumber,axiom,
% 163.20/162.95 class_Int_Onumber(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__Groups_Oone,axiom,
% 163.20/162.95 class_Groups_Oone(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Int__Oint__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Int_Oint) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.20/162.95 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 163.20/162.95 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 163.20/162.95 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 163.20/162.95 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 163.20/162.95 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 163.20/162.95 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 163.20/162.95 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 163.20/162.95 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 163.20/162.95 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 163.20/162.95 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 163.20/162.95 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 163.20/162.95 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 163.20/162.95 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 163.20/162.95 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 163.20/162.95 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 163.20/162.95 class_Lattices_Olattice(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 163.20/162.95 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 163.20/162.95 class_Orderings_Oorder(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 163.20/162.95 class_Rings_Osemiring(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 163.20/162.95 class_Orderings_Oord(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 163.20/162.95 class_Orderings_Obot(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 163.20/162.95 class_Groups_Ominus(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Power_Opower,axiom,
% 163.20/162.95 class_Power_Opower(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 163.20/162.95 class_Groups_Ozero(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 163.20/162.95 class_Int_Onumber(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 163.20/162.95 class_Groups_Oone(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Nat_Onat) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.20/162.95 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 163.20/162.95 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 163.20/162.95 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 163.20/162.95 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 163.20/162.95 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 163.20/162.95 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 163.20/162.95 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 163.20/162.95 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 163.20/162.95 class_Lattices_Olattice(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 163.20/162.95 class_Orderings_Oorder(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 163.20/162.95 class_Orderings_Otop(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 163.20/162.95 class_Orderings_Oord(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 163.20/162.95 class_Orderings_Obot(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 163.20/162.95 class_Groups_Ouminus(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 163.20/162.95 class_Groups_Ominus(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 163.20/162.95 class_Enum_Oenum(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_HOL_Obool) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ostate__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Com_Ostate) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Com_Ostate) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ovname__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Com_Ovname) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Com__Ovname__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Com_Ovname) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 163.20/162.95 ! [T_1] :
% 163.20/162.95 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 163.20/162.95 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_List__Olist__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_List__Olist__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Finite__Set_Ofinite(T_2)
% 163.20/162.95 & class_Finite__Set_Ofinite(T_1) )
% 163.20/162.95 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_sum__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_sum__Enum_Oenum,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Enum_Oenum(T_2)
% 163.20/162.95 & class_Enum_Oenum(T_1) )
% 163.20/162.95 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_sum__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 163.20/162.95 ! [T_1] :
% 163.20/162.95 ( class_Finite__Set_Ofinite(T_1)
% 163.20/162.95 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Option__Ooption__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 163.20/162.95 ! [T_1] :
% 163.20/162.95 ( class_Enum_Oenum(T_1)
% 163.20/162.95 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nitpick__Opair____box__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_HOL_Oequal(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 163.20/162.95 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 163.20/162.95 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Finite__Set_Ofinite(T_2)
% 163.20/162.95 & class_Finite__Set_Ofinite(T_1) )
% 163.20/162.95 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__Smallcheck_Osmall,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Smallcheck_Osmall(T_2)
% 163.20/162.95 & class_Smallcheck_Osmall(T_1) )
% 163.20/162.95 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__Enum_Oenum,axiom,
% 163.20/162.95 ! [T_1,T_2] :
% 163.20/162.95 ( ( class_Enum_Oenum(T_2)
% 163.20/162.95 & class_Enum_Oenum(T_1) )
% 163.20/162.95 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_prod__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 163.20/162.95 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 163.20/162.95 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom,
% 163.20/162.95 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 163.20/162.95 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 163.20/162.95 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 163.20/162.95 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 163.20/162.95 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 163.20/162.95 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 163.20/162.95 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 163.20/162.95 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 163.20/162.95 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 163.20/162.95 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 163.20/162.95 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 163.20/162.95 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 163.20/162.95 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 163.20/162.95 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 163.20/162.95 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 163.20/162.95 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 163.20/162.95 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 163.20/162.95 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 163.20/162.95 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 163.20/162.95 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 163.20/162.95 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 163.20/162.95 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 163.20/162.95 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 163.20/162.95 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 163.20/162.95 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 163.20/162.95 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 163.20/162.95 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 163.20/162.95 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom,
% 163.20/162.95 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 163.20/162.95 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom,
% 163.20/162.95 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 163.20/162.95
% 163.20/162.95 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 163.20/162.95 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 163.20/162.95
% 163.20/162.95 %----Helper facts (20)
% 163.20/162.95 fof(help_c__COMBI__1,axiom,
% 163.20/162.95 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 163.20/162.95
% 163.20/162.95 fof(help_c__COMBK__1,axiom,
% 163.20/162.95 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 163.20/162.95
% 163.20/162.95 fof(help_c__COMBB__1,axiom,
% 163.20/162.95 ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 163.20/162.95
% 163.20/162.95 fof(help_c__COMBC__1,axiom,
% 163.20/162.95 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__COMBS__1,axiom,
% 163.20/162.96 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fequal__1,axiom,
% 163.20/162.96 ! [V_y_2,V_x_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 163.20/162.96 | V_x_2 = V_y_2 ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fequal__2,axiom,
% 163.20/162.96 ! [V_y_2,V_x_2] :
% 163.20/162.96 ( V_x_2 != V_y_2
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fFalse__1,axiom,
% 163.20/162.96 ~ hBOOL(c_fFalse) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fTrue__1,axiom,
% 163.20/162.96 hBOOL(c_fTrue) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fNot__1,axiom,
% 163.20/162.96 ! [V_P_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 163.20/162.96 | ~ hBOOL(V_P_2) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fNot__2,axiom,
% 163.20/162.96 ! [V_P_2] :
% 163.20/162.96 ( ~ ~ hBOOL(V_P_2)
% 163.20/162.96 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fconj__1,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(V_P_2)
% 163.20/162.96 | ~ hBOOL(V_Q_2)
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fconj__2,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 163.20/162.96 | hBOOL(V_P_2) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fconj__3,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 163.20/162.96 | hBOOL(V_Q_2) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fdisj__1,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(V_P_2)
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fdisj__2,axiom,
% 163.20/162.96 ! [V_P_2,V_Q_2] :
% 163.20/162.96 ( ~ hBOOL(V_Q_2)
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fdisj__3,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 163.20/162.96 | hBOOL(V_P_2)
% 163.20/162.96 | hBOOL(V_Q_2) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fimplies__1,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( hBOOL(V_P_2)
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fimplies__2,axiom,
% 163.20/162.96 ! [V_P_2,V_Q_2] :
% 163.20/162.96 ( ~ hBOOL(V_Q_2)
% 163.20/162.96 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 163.20/162.96
% 163.20/162.96 fof(help_c__fimplies__3,axiom,
% 163.20/162.96 ! [V_Q_2,V_P_2] :
% 163.20/162.96 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 163.20/162.96 | ~ hBOOL(V_P_2)
% 163.20/162.96 | hBOOL(V_Q_2) ) ).
% 163.20/162.96
% 163.20/162.96 %----Conjectures (6)
% 163.20/162.96 fof(conj_0,hypothesis,
% 163.20/162.96 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 163.20/162.96
% 163.20/162.96 fof(conj_1,hypothesis,
% 163.20/162.96 c_Com_OWT__bodies ).
% 163.20/162.96
% 163.20/162.96 fof(conj_2,hypothesis,
% 163.20/162.96 hBOOL(hAPP(c_Com_OWT,v_c)) ).
% 163.20/162.96
% 163.20/162.96 fof(conj_3,hypothesis,
% 163.20/162.96 v_Sledgehammer_058wt__2(v_ca) ).
% 163.20/162.96
% 163.20/162.96 fof(conj_4,hypothesis,
% 163.20/162.96 ! [B_pn] :
% 163.20/162.96 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_pn),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
% 163.20/162.96 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B_pn))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 163.20/162.96
% 163.20/162.96 fof(conj_5,conjecture,
% 163.20/162.96 c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(v_ca)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ).
% 163.20/162.96
% 163.20/162.96 %------------------------------------------------------------------------------
% 163.20/162.96 %-------------------------------------------
% 163.20/162.96 % Proof found
% 163.20/162.96 % SZS status Theorem for theBenchmark
% 163.20/162.96 % SZS output start Proof
% 163.20/162.96 %ClaNum:10235(EqnAxiom:2897)
% 163.20/162.96 %VarNum:70008(SingletonVarNum:20453)
% 163.20/162.96 %MaxLitNum:8
% 163.20/162.96 %MaxfuncDepth:15
% 163.20/162.96 %SharedTerms:1112
% 163.20/162.96 %goalClause: 4588
% 163.20/162.96 %singleGoalClaCount:1
% 163.20/162.96 [2898]P1(a5000)
% 163.20/162.96 [2899]P2(a5000)
% 163.20/162.96 [2903]P24(a193)
% 163.20/162.96 [2904]P25(a874)
% 163.20/162.96 [2905]P25(a880)
% 163.20/162.96 [2906]P26(a874)
% 163.20/162.96 [2907]P26(a880)
% 163.20/162.96 [2908]P26(a1)
% 163.20/162.96 [2909]P27(a874)
% 163.20/162.96 [2910]P28(a874)
% 163.20/162.96 [2911]P28(a883)
% 163.20/162.96 [2912]P101(a874)
% 163.20/162.96 [2913]P101(a880)
% 163.20/162.96 [2914]P101(a1)
% 163.20/162.96 [2915]P67(a874)
% 163.20/162.96 [2916]P67(a880)
% 163.20/162.96 [2917]P67(a1)
% 163.20/162.96 [2918]P67(a104)
% 163.20/162.96 [2919]P102(a874)
% 163.20/162.96 [2920]P102(a880)
% 163.20/162.96 [2921]P102(a1)
% 163.20/162.96 [2922]P99(a874)
% 163.20/162.96 [2923]P99(a880)
% 163.20/162.96 [2924]P99(a1)
% 163.20/162.96 [2925]P29(a874)
% 163.20/162.96 [2926]P68(a1)
% 163.20/162.96 [2927]P106(a1)
% 163.20/162.96 [2928]P79(a874)
% 163.20/162.96 [2929]P80(a874)
% 163.20/162.96 [2930]P80(a1)
% 163.20/162.96 [2931]P69(a880)
% 163.20/162.96 [2932]P69(a1)
% 163.20/162.96 [2933]P69(a104)
% 163.20/162.96 [2934]P70(a880)
% 163.20/162.96 [2935]P70(a1)
% 163.20/162.96 [2936]P70(a104)
% 163.20/162.96 [2937]P71(a880)
% 163.20/162.96 [2938]P71(a1)
% 163.20/162.96 [2939]P71(a104)
% 163.20/162.96 [2940]P72(a880)
% 163.20/162.96 [2941]P72(a1)
% 163.20/162.96 [2942]P72(a104)
% 163.20/162.96 [2943]P107(a874)
% 163.20/162.96 [2944]P75(a1)
% 163.20/162.96 [2945]P100(a874)
% 163.20/162.96 [2946]P112(a1)
% 163.20/162.96 [2947]P115(a880)
% 163.20/162.96 [2948]P115(a1)
% 163.20/162.96 [2949]P115(a104)
% 163.20/162.96 [2950]P73(a880)
% 163.20/162.96 [2951]P73(a1)
% 163.20/162.96 [2952]P73(a104)
% 163.20/162.96 [2953]P137(a880)
% 163.20/162.96 [2954]P137(a1)
% 163.20/162.96 [2955]P117(a1)
% 163.20/162.96 [2956]P116(a880)
% 163.20/162.96 [2957]P116(a1)
% 163.20/162.96 [2958]P116(a104)
% 163.20/162.96 [2959]P138(a880)
% 163.20/162.96 [2960]P138(a1)
% 163.20/162.96 [2961]P138(a104)
% 163.20/162.96 [2962]P76(a880)
% 163.20/162.96 [2963]P76(a1)
% 163.20/162.96 [2964]P76(a104)
% 163.20/162.96 [2965]P81(a1)
% 163.20/162.96 [2966]P108(a874)
% 163.20/162.96 [2967]P108(a880)
% 163.20/162.96 [2968]P108(a1)
% 163.20/162.96 [2969]P108(a104)
% 163.20/162.96 [2970]P109(a880)
% 163.20/162.96 [2971]P109(a1)
% 163.20/162.96 [2972]P109(a104)
% 163.20/162.96 [2973]P110(a874)
% 163.20/162.96 [2974]P110(a880)
% 163.20/162.96 [2975]P110(a1)
% 163.20/162.96 [2976]P110(a104)
% 163.20/162.96 [2977]P111(a874)
% 163.20/162.96 [2978]P111(a880)
% 163.20/162.96 [2979]P111(a1)
% 163.20/162.96 [2980]P111(a104)
% 163.20/162.96 [2981]P82(a880)
% 163.20/162.96 [2982]P82(a1)
% 163.20/162.96 [2983]P82(a104)
% 163.20/162.96 [2984]P120(a1)
% 163.20/162.96 [2985]P123(a880)
% 163.20/162.96 [2986]P123(a1)
% 163.20/162.96 [2987]P123(a104)
% 163.20/162.96 [2988]P83(a880)
% 163.20/162.96 [2989]P83(a1)
% 163.20/162.96 [2990]P83(a104)
% 163.20/162.96 [2991]P85(a880)
% 163.20/162.96 [2992]P85(a1)
% 163.20/162.96 [2993]P85(a104)
% 163.20/162.96 [2994]P88(a880)
% 163.20/162.96 [2995]P88(a1)
% 163.20/162.96 [2996]P88(a104)
% 163.20/162.96 [2997]P139(a1)
% 163.20/162.96 [2998]P126(a1)
% 163.20/162.96 [2999]P92(a880)
% 163.20/162.96 [3000]P92(a1)
% 163.20/162.96 [3001]P92(a104)
% 163.20/162.96 [3002]P84(a880)
% 163.20/162.96 [3003]P84(a1)
% 163.20/162.96 [3004]P84(a104)
% 163.20/162.96 [3005]P77(a1)
% 163.20/162.96 [3006]P127(a880)
% 163.20/162.96 [3007]P127(a1)
% 163.20/162.96 [3008]P127(a104)
% 163.20/162.96 [3009]P141(a1)
% 163.20/162.96 [3010]P128(a880)
% 163.20/162.96 [3011]P128(a1)
% 163.20/162.96 [3012]P128(a104)
% 163.20/162.96 [3013]P142(a880)
% 163.20/162.96 [3014]P142(a1)
% 163.20/162.96 [3015]P142(a104)
% 163.20/162.96 [3016]P124(a1)
% 163.20/162.96 [3017]P125(a1)
% 163.20/162.96 [3018]P89(a880)
% 163.20/162.96 [3019]P89(a1)
% 163.20/162.96 [3020]P89(a104)
% 163.20/162.96 [3021]P121(a880)
% 163.20/162.96 [3022]P121(a1)
% 163.20/162.96 [3023]P121(a104)
% 163.20/162.96 [3024]P129(a880)
% 163.20/162.96 [3025]P129(a1)
% 163.20/162.96 [3026]P129(a104)
% 163.20/162.96 [3027]P90(a1)
% 163.20/162.96 [3028]P140(a1)
% 163.20/162.96 [3029]P93(a1)
% 163.20/162.96 [3030]P86(a880)
% 163.20/162.96 [3031]P86(a1)
% 163.20/162.96 [3032]P86(a104)
% 163.20/162.96 [3033]P133(a880)
% 163.20/162.96 [3034]P133(a1)
% 163.20/162.96 [3035]P133(a104)
% 163.20/162.96 [3036]P135(a880)
% 163.20/162.96 [3037]P135(a1)
% 163.20/162.96 [3038]P135(a104)
% 163.20/162.96 [3039]P134(a880)
% 163.20/162.96 [3040]P134(a1)
% 163.20/162.96 [3041]P134(a104)
% 163.20/162.96 [3042]P130(a880)
% 163.20/162.96 [3043]P130(a1)
% 163.20/162.96 [3044]P130(a104)
% 163.20/162.96 [3045]P131(a1)
% 163.20/162.96 [3046]P132(a1)
% 163.20/162.96 [3047]P94(a1)
% 163.20/162.96 [3048]P95(a880)
% 163.20/162.96 [3049]P95(a1)
% 163.20/162.96 [3050]P95(a104)
% 163.20/162.96 [3051]P103(a880)
% 163.20/162.96 [3052]P103(a1)
% 163.20/162.96 [3053]P103(a104)
% 163.20/162.96 [3054]P143(a880)
% 163.20/162.96 [3055]P143(a1)
% 163.20/162.96 [3056]P143(a104)
% 163.20/162.96 [3057]P87(a1)
% 163.20/162.96 [3058]P136(a1)
% 163.20/162.96 [3059]P74(a1)
% 163.20/162.96 [3060]P60(a880)
% 163.20/162.96 [3061]P60(a1)
% 163.20/162.96 [3062]P60(a104)
% 163.20/162.96 [3063]P61(a1)
% 163.20/162.96 [3064]P113(a880)
% 163.20/162.96 [3065]P113(a1)
% 163.20/162.96 [3066]P113(a104)
% 163.20/162.96 [3067]P144(a880)
% 163.20/162.96 [3068]P144(a1)
% 163.20/162.96 [3069]P144(a104)
% 163.20/162.96 [3070]P145(a883)
% 163.20/162.96 [3071]P145(a1)
% 163.20/162.96 [3072]P78(a880)
% 163.20/162.96 [3073]P78(a1)
% 163.20/162.96 [3074]P78(a104)
% 163.20/162.96 [3075]P91(a880)
% 163.20/162.96 [3076]P91(a1)
% 163.20/162.96 [3077]P91(a104)
% 163.20/162.96 [3078]P62(a874)
% 163.20/162.96 [3079]P62(a883)
% 163.20/162.96 [3080]P96(a874)
% 163.20/162.96 [3081]P96(a875)
% 163.20/162.96 [3082]P96(a876)
% 163.20/162.96 [3083]P96(a880)
% 163.20/162.96 [3084]P96(a883)
% 163.20/162.96 [3085]P96(a1)
% 163.20/162.96 [3086]P96(a104)
% 163.20/162.96 [3087]P96(a329)
% 163.20/162.96 [3088]P96(a878)
% 163.20/162.96 [3089]P114(a880)
% 163.20/162.96 [3090]P105(a874)
% 163.20/162.96 [3091]P105(a875)
% 163.20/162.96 [3092]P105(a876)
% 163.20/162.96 [3093]P105(a880)
% 163.20/162.96 [3094]P105(a883)
% 163.20/162.96 [3095]P105(a104)
% 163.20/162.96 [3096]P105(a329)
% 163.20/162.96 [3097]P105(a878)
% 163.20/162.96 [3098]P104(a883)
% 163.20/162.96 [3099]P104(a1)
% 163.20/162.96 [3100]P98(a874)
% 163.20/162.96 [3101]P148(a886)
% 163.20/162.96 [3121]P40(a880,a254)
% 163.20/162.96 [3122]P40(a880,a323)
% 163.20/162.96 [4482]~E(a102,a84)
% 163.20/162.96 [4483]~P24(a247)
% 163.20/162.96 [2900]E(f2(a1),a84)
% 163.20/162.96 [2901]E(f3(a104),a4)
% 163.20/162.96 [2902]E(f105(a104),a5)
% 163.20/162.96 [3102]E(f194(a880),f2(a880))
% 163.20/162.96 [3103]E(f32(a24),f2(a880))
% 163.20/162.96 [3104]E(f85(a193),f2(a880))
% 163.20/162.96 [3105]E(f85(a247),f2(a880))
% 163.20/162.96 [3106]E(f106(a880),f248(a880))
% 163.20/162.96 [3107]E(f115(a880),f249(a880))
% 163.20/162.96 [3108]E(f107(a1),f35(a1))
% 163.20/162.96 [3109]P30(f79(a1))
% 163.20/162.96 [3110]P30(f2(a1))
% 163.20/162.96 [3160]P24(f333(a25,a24))
% 163.20/162.96 [3161]P24(f333(a25,a887))
% 163.20/162.96 [3176]P40(f889(a880,a880),a36)
% 163.20/162.96 [3521]E(f326(a880,a880,a254,a254),a36)
% 163.20/162.96 [4484]~E(f79(a1),f2(a1))
% 163.20/162.96 [3111]E(f116(f2(a880)),f2(a880))
% 163.20/162.96 [3112]E(f6(f2(a104)),f2(a880))
% 163.20/162.96 [3124]E(f333(f80(a1),a84),a84)
% 163.20/162.96 [3127]E(f333(a117,f2(a880)),f79(a880))
% 163.20/162.96 [3128]E(f333(a109,f79(a1)),f79(a880))
% 163.20/162.96 [3129]E(f333(a5,f79(a880)),f79(a104))
% 163.20/162.96 [3131]E(f333(a5,f2(a880)),f2(a104))
% 163.20/162.96 [3133]E(f333(f108(a1),a84),f2(a1))
% 163.20/162.96 [3134]E(f333(f108(a104),a84),f2(a104))
% 163.20/162.96 [3135]E(f333(a109,f2(a1)),f2(a880))
% 163.20/162.96 [3136]E(f333(f195(a874),a193),f2(a880))
% 163.20/162.96 [3137]E(f333(f195(a874),a247),f2(a880))
% 163.20/162.96 [3138]E(f333(f195(a875),a24),f2(a880))
% 163.20/162.96 [3139]E(f333(f108(a880),a84),f2(a880))
% 163.20/162.96 [3144]E(f333(f80(a1),f79(a1)),a102)
% 163.20/162.96 [3151]E(f333(f80(a1),f2(a1)),f2(a1))
% 163.20/162.96 [3153]E(f333(f195(a104),f2(a104)),f2(a880))
% 163.20/162.96 [3154]E(f333(f105(a1),f79(a880)),f79(a1))
% 163.20/162.96 [3155]E(f333(f105(a1),f2(a880)),f2(a1))
% 163.20/162.96 [3172]E(f333(a109,f79(a1)),f333(a117,f2(a880)))
% 163.20/162.96 [3173]E(f333(f178(a877,a875),a27),a28)
% 163.20/162.96 [3174]E(f324(f889(a880,a880),a36),a37)
% 163.20/162.96 [3175]E(f325(f889(a880,a880),a36),a38)
% 163.20/162.96 [3196]E(f333(f256(a880),f2(a880)),f194(f890(a880,a874)))
% 163.20/162.96 [3197]E(f333(f257(a880),f2(a880)),f258(f890(a880,a874)))
% 163.20/162.96 [3205]P42(f194(f890(a1,a874)))
% 163.20/162.96 [3240]E(f333(f333(f3(a104),f2(a104)),f79(a104)),f2(a104))
% 163.20/162.96 [3317]P24(f333(f333(f251(a1),a102),f2(a1)))
% 163.20/162.96 [3342]P24(f333(f333(f251(a1),f2(a1)),f79(a1)))
% 163.20/162.96 [3343]P24(f333(f333(f250(a1),f2(a1)),f79(a1)))
% 163.20/162.96 [3514]P24(f333(f63(a877),f184(a877,a875,a28)))
% 163.20/162.96 [3550]E(f333(f333(f290(a880,a880,a880),a323),f309(a880,a323)),a254)
% 163.20/162.96 [3589]P43(a1,a880,a109,f333(f250(a1),f2(a1)))
% 163.20/162.96 [3593]E(f333(f333(f43(a880,f890(a880,a874)),f258(f890(a880,a874))),f305(a880)),f194(f890(a880,a874)))
% 163.20/162.96 [3594]E(f333(f333(f44(a880,f890(a880,a874)),f258(f890(a880,a874))),f256(a880)),f258(f890(a880,a874)))
% 163.20/162.96 [3595]E(f333(f333(f44(a880,f890(a880,a874)),f258(f890(a880,a874))),f302(a880)),f258(f890(a880,a874)))
% 163.20/162.96 [3596]E(f333(f333(f44(a880,f890(a880,a874)),f258(f890(a880,a874))),f257(a880)),f258(f890(a880,a874)))
% 163.20/162.96 [3613]P21(a880,a1,f105(a1),f258(f890(a880,a874)))
% 163.20/162.96 [3624]P43(a880,a1,f105(a1),f333(f18(a874,a880),a193))
% 163.20/162.96 [3752]E(f333(f74(a880,a104,a1,a5),a109),f108(a104))
% 163.20/162.96 [3974]P56(a104,a880,a21,a5,f258(f890(a880,a874)))
% 163.20/162.96 [3982]P56(a1,f890(f889(a880,a880),a874),a111,a90,a103)
% 163.20/162.96 [4243]E(f273(a1,a1,a1,a1,f35(a1),f80(a1)),a52)
% 163.20/162.96 [4507]~E(f333(f108(a1),a102),f333(f108(a1),a84))
% 163.20/162.96 [4508]~P24(f333(a200,f79(a1)))
% 163.20/162.96 [4509]~P24(f333(a200,f2(a1)))
% 163.20/162.96 [4557]~P24(f333(f333(f251(a1),a84),f2(a1)))
% 163.20/162.96 [3189]E(f333(f333(f3(a1),a102),a102),a84)
% 163.20/162.96 [3203]E(f333(f105(a1),f333(a117,f2(a880))),f79(a1))
% 163.20/162.96 [3266]E(f333(f39(a883),f258(f890(a883,a874))),f79(a880))
% 163.20/162.96 [3287]P24(f333(a200,f333(f108(a1),a102)))
% 163.20/162.96 [3288]P24(f333(f333(f251(a1),a102),a84))
% 163.20/162.96 [3290]P24(f333(f333(f250(a1),a102),a84))
% 163.20/162.96 [3354]E(f333(f333(f311(a880),f2(a880)),f194(f890(a880,a874))),f333(f302(a880),f2(a880)))
% 163.20/162.96 [3409]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),a84)))
% 163.20/162.96 [3421]E(f333(f312(a880,a880,a117),f258(f890(a880,a874))),f333(f305(a880),f2(a880)))
% 163.20/162.96 [3460]P6(f889(a880,a880),f258(f890(f889(a880,a880),a874)),a113)
% 163.20/162.96 [3760]E(f333(f74(a880,a1,a104,f105(a1)),a21),a22)
% 163.20/162.96 [3824]P40(a880,f333(f255(f889(a880,a880)),f333(f272(a880,a880,a874),f251(a880))))
% 163.20/162.96 [4546]~P24(f333(a200,f333(f108(a1),a84)))
% 163.20/162.96 [4547]~P24(f333(f333(f251(a1),a84),a84))
% 163.20/162.96 [4548]~P24(f333(f333(f251(a1),a84),a102))
% 163.20/162.96 [4549]~P24(f333(f333(f251(a1),a102),a102))
% 163.20/162.96 [4550]~P24(f333(f333(f250(a1),a84),a102))
% 163.20/162.96 [4551]~P24(f333(f333(f92(a1),a84),a102))
% 163.20/162.96 [4552]~P24(f333(f333(f92(a1),a102),a84))
% 163.20/162.96 [4567]~P24(f333(f63(a880),f258(f890(a880,a874))))
% 163.20/162.96 [4568]~P24(f333(f63(a1),f258(f890(a1,a874))))
% 163.20/162.96 [4423]E(f333(f272(a1,a1,a874),f333(f333(f10(f890(a1,a874),f890(a1,a874),a1),f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f251(a1),f2(a1))))),f333(f333(f9(a1,a1,f890(a1,a874)),f333(f333(f10(f890(a1,f890(a1,a874)),f890(a1,f890(a1,a874)),a1),f9(a1,a1,a874)),f333(f333(f10(f890(a1,a1),f890(a1,f890(a1,a874)),a1),f333(f10(a1,f890(a1,a874),a1),a330)),a227))),f79(a1)))),a223)
% 163.20/162.96 [4588]~P20(a876,a891,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),a886),f201(a886))),f194(f890(f879(a876),a874))))
% 163.20/162.96 [3523]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a102)),a102),a102)
% 163.20/162.96 [3560]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84),f333(f80(a1),a102))
% 163.20/162.96 [3598]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84),f333(f333(f3(a1),a84),a102))
% 163.20/162.96 [3693]E(f333(f333(f62(f889(a880,a880)),f258(f890(f889(a880,a880),a874))),a113),a103)
% 163.20/162.96 [3762]E(f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f79(a1))
% 163.20/162.96 [3763]E(f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f79(a104))
% 163.20/162.96 [3764]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f79(a880))
% 163.20/162.96 [3772]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f333(a117,f2(a880)))
% 163.20/162.96 [4103]E(f333(f333(f115(f890(f889(f889(a880,a880),f889(a880,a880)),a874)),a36),f309(f889(a880,a880),f194(f890(f889(f889(a880,a880),f889(a880,a880)),a874)))),a71)
% 163.20/162.96 [4169]E(f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),f79(a880)),f2(a880))),f194(f890(f889(a880,a880),a874))))),f79(a1))
% 163.20/162.96 [4170]E(f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),f2(a880)),f2(a880))),f194(f890(f889(a880,a880),a874))))),f2(a1))
% 163.20/162.96 [4185]E(f333(f255(f889(a880,a880)),f333(f272(a880,a880,a874),f333(f333(f10(a880,f890(a880,a874),a880),f333(f9(a880,a880,a874),a330)),a117))),a323)
% 163.20/162.96 [3924]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),a102),a84)
% 163.20/162.96 [4235]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(a117,f333(a117,f333(a117,f2(a880)))))
% 163.20/162.96 [4303]P22(f890(f889(a880,a880),a874),f333(f333(f263(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874),f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)),a37),a72))
% 163.20/162.96 [4304]P22(f890(f889(a880,a880),a874),f333(f333(f263(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874),f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)),a38),a70))
% 163.20/162.96 [4315]P30(f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))))
% 163.20/162.96 [4341]E(f333(f333(f115(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)),f325(f889(a880,a880),a71)),f333(f333(f311(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f194(f890(f889(a880,a880),a874))),f194(f890(f889(a880,a880),a874)))),f194(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)))),a70)
% 163.20/162.96 [4342]E(f333(f333(f115(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)),f324(f889(a880,a880),a71)),f333(f333(f311(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f194(f890(f889(a880,a880),a874))),f194(f890(f889(a880,a880),a874)))),f194(f890(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a874)))),a72)
% 163.20/162.96 [4347]E(f333(f105(a1),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))))
% 163.20/162.96 [4361]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))))
% 163.20/162.96 [4358]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)),f333(a117,f333(a117,f2(a880))))
% 163.20/162.96 [4359]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)),f333(f333(f81(a880),f79(a880)),f79(a880)))
% 163.20/162.96 [4360]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)),f333(f39(a874),f258(f890(a874,a874))))
% 163.20/162.96 [4403]P30(f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))
% 163.20/162.96 [4404]E(f333(a109,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(a117,f333(a117,f2(a880))))
% 163.20/162.96 [4425]E(f333(f105(a1),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))
% 163.20/162.96 [4437]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [3123]P5(x31231,a330)
% 163.20/162.96 [3522]P21(a880,a880,a117,x35221)
% 163.20/162.96 [3113]P96(f879(x31131))
% 163.20/162.96 [3114]P96(f884(x31141))
% 163.20/162.96 [3115]P96(f881(x31151))
% 163.20/162.96 [3116]P96(f882(x31161))
% 163.20/162.96 [3117]P105(f879(x31171))
% 163.20/162.96 [3118]P105(f884(x31181))
% 163.20/162.96 [3119]P105(f881(x31191))
% 163.20/162.96 [3120]P105(f882(x31201))
% 163.20/162.96 [3140]P40(a1,f110(x31401))
% 163.20/162.96 [3141]P40(a1,f112(x31411))
% 163.20/162.96 [3143]P41(x31431,f197(x31431))
% 163.20/162.96 [3193]P40(f890(x31931,a874),f308(x31931))
% 163.20/162.96 [3231]E(f46(a1,x32311,x32311),f2(a1))
% 163.20/162.96 [3284]P11(x32841,f890(x32841,a874),f311(x32841))
% 163.20/162.96 [4486]~E(f333(a26,x44861),a24)
% 163.20/162.96 [4488]~E(f333(a117,x44881),x44881)
% 163.20/162.96 [4498]~E(f333(a117,x44981),f2(a880))
% 163.20/162.96 [3125]E(f333(f195(a880),x31251),x31251)
% 163.20/162.96 [3126]E(f333(f108(a1),x31261),x31261)
% 163.20/162.96 [3142]E(f333(a90,f334(x31421)),x31421)
% 163.20/162.96 [3156]E(f119(x31561,f118(x31561)),f118(x31561))
% 163.20/162.96 [3157]E(f153(x31571,f118(x31571)),f118(x31571))
% 163.20/162.96 [3162]E(f32(f333(a26,x31621)),f2(a880))
% 163.20/162.96 [3169]E(f333(f169(x31691),f118(x31691)),f118(x31691))
% 163.20/162.96 [3170]E(f333(f172(x31701),f118(x31701)),f118(x31701))
% 163.20/162.96 [3171]E(f333(f170(x31711),f118(x31711)),f118(x31711))
% 163.20/162.96 [3177]E(f333(f108(a1),x31771),f333(f107(a1),x31771))
% 163.20/162.96 [3178]E(f333(a90,f333(a111,x31781)),x31781)
% 163.20/162.96 [3180]E(f333(a5,f333(a21,x31801)),x31801)
% 163.20/162.96 [3181]E(f333(a21,f333(a5,x31811)),x31811)
% 163.20/162.96 [3182]P30(f333(f105(a1),x31821))
% 163.20/162.96 [3187]E(f333(f195(f884(x31871)),f197(x31871)),f2(a880))
% 163.20/162.96 [3188]E(f333(f195(f881(x31881)),f118(x31881)),f2(a880))
% 163.20/162.96 [3192]E(f333(f195(a875),f333(a26,x31921)),f2(a880))
% 163.20/162.96 [3201]E(f241(x32011,f197(x32011)),f194(f890(x32011,a874)))
% 163.20/162.96 [3208]E(f333(f333(f3(a880),x32081),f2(a880)),x32081)
% 163.20/162.96 [3209]E(f333(f333(f81(a880),x32091),f2(a880)),x32091)
% 163.20/162.96 [3210]E(f333(f333(f81(a1),x32101),f2(a1)),x32101)
% 163.20/162.96 [3211]E(f333(f333(f82(a880),x32111),f79(a880)),x32111)
% 163.20/162.96 [3212]E(f333(f333(f82(a1),x32121),f79(a1)),x32121)
% 163.20/162.96 [3213]E(f333(f333(f249(a880),x32131),f2(a880)),x32131)
% 163.20/162.96 [3214]E(f333(f333(f82(a880),x32141),f2(a880)),f2(a880))
% 163.20/162.96 [3215]E(f333(f333(f40(a1),x32151),f2(a1)),f2(a1))
% 163.20/162.96 [3216]E(f333(f333(f248(a880),x32161),f2(a880)),f2(a880))
% 163.20/162.96 [3222]E(f333(f173(x32221),f118(x32221)),f194(f890(x32221,a874)))
% 163.20/162.96 [3226]P24(f333(f138(x32261),f118(x32261)))
% 163.20/162.96 [3232]E(f333(f155(x32321,x32321),f7(x32321)),f35(f881(x32321)))
% 163.20/162.96 [3233]E(f333(f155(x32331,x32331),f35(x32331)),f35(f881(x32331)))
% 163.20/162.96 [3234]E(f333(f208(x32341,x32341),f7(x32341)),f35(f884(x32341)))
% 163.20/162.96 [3235]E(f333(f208(x32351,x32351),f35(x32351)),f35(f884(x32351)))
% 163.20/162.96 [3236]E(f46(a1,x32361,f2(a1)),x32361)
% 163.20/162.96 [3237]E(f333(f250(a880),f333(a117,x32371)),f333(f251(a880),x32371))
% 163.20/162.96 [3238]E(f333(f256(a880),f333(a117,x32381)),f333(f302(a880),x32381))
% 163.20/162.96 [3239]E(f333(f257(a880),f333(a117,x32391)),f333(f305(a880),x32391))
% 163.20/162.96 [3241]E(f46(a1,f2(a1),x32411),f2(a1))
% 163.20/162.96 [3250]E(f333(f333(f81(a880),x32501),f79(a880)),f333(a117,x32501))
% 163.20/162.96 [3260]E(f333(f303(a880,x32601),f2(a880)),f194(f890(a880,a874)))
% 163.20/162.96 [3272]E(f304(a880,f2(a880),x32721),f333(f302(a880),x32721))
% 163.20/162.96 [3320]E(f333(f333(f3(a880),f333(a117,x33201)),f79(a880)),x33201)
% 163.20/162.96 [3333]E(f48(f2(a1),x33331),f333(f333(f263(a1,a1),f2(a1)),f2(a1)))
% 163.20/162.96 [3384]P24(f333(f333(f251(a880),x33841),f333(a117,x33841)))
% 163.20/162.96 [3396]P24(f333(f333(f251(a880),f2(a880)),f333(a117,x33961)))
% 163.20/162.96 [3680]E(f333(f333(f3(a104),f333(a5,f333(a117,f333(a21,x36801)))),f79(a104)),x36801)
% 163.20/162.96 [3744]P24(f333(f333(f250(a1),f333(f80(a1),f333(f105(a1),x37441))),f2(a1)))
% 163.20/162.96 [3889]P24(f333(f333(f251(a1),f333(f80(a1),f333(f105(a1),f333(a117,x38891)))),f2(a1)))
% 163.20/162.96 [4513]~E(f258(f890(x45131,a874)),f194(f890(x45131,a874)))
% 163.20/162.96 [4560]~P24(f333(f333(f251(a880),x45601),f2(a880)))
% 163.20/162.96 [4574]~P24(f333(f333(f251(a1),f333(f105(a1),x45741)),f2(a1)))
% 163.20/162.96 [3191]E(f180(x31911,f118(f881(x31911))),f118(f881(x31911)))
% 163.20/162.96 [3194]E(f333(f333(f82(a1),a84),x31941),a84)
% 163.20/162.96 [3195]E(f333(f333(f81(a1),a84),x31951),x31951)
% 163.20/162.96 [3198]E(f333(a109,f333(f105(a1),x31981)),x31981)
% 163.20/162.96 [3199]E(f333(f333(f3(a1),x31991),a84),x31991)
% 163.20/162.96 [3200]E(f333(f333(f81(a1),x32001),a84),x32001)
% 163.20/162.96 [3202]E(f333(f333(f3(a880),x32021),x32021),f2(a880))
% 163.20/162.96 [3206]E(f333(f80(a1),f333(f80(a1),x32061)),x32061)
% 163.20/162.96 [3207]E(f333(f39(a880),f333(f256(a880),x32071)),x32071)
% 163.20/162.96 [3217]E(f333(f333(f81(a880),f2(a880)),x32171),x32171)
% 163.20/162.96 [3218]E(f333(f333(f81(a1),f2(a1)),x32181),x32181)
% 163.20/162.96 [3219]E(f333(f333(f82(a880),f79(a880)),x32191),x32191)
% 163.20/162.96 [3220]E(f333(f333(f82(a1),f79(a1)),x32201),x32201)
% 163.20/162.96 [3221]E(f333(f333(f249(a880),f2(a880)),x32211),x32211)
% 163.20/162.96 [3227]E(f333(f333(f3(a880),f2(a880)),x32271),f2(a880))
% 163.20/162.96 [3228]E(f333(f333(f82(a880),f2(a880)),x32281),f2(a880))
% 163.20/162.96 [3229]E(f333(f333(f40(a1),f2(a1)),x32291),f2(a1))
% 163.20/162.96 [3230]E(f333(f333(f248(a880),f2(a880)),x32301),f2(a880))
% 163.20/162.96 [3247]E(f333(f303(a880,f2(a880)),x32471),f333(f256(a880),x32471))
% 163.20/162.96 [3248]E(f333(f333(f82(a1),a102),x32481),f333(f80(a1),x32481))
% 163.20/162.96 [3252]E(f333(a109,f333(f108(a1),x32521)),f333(f108(a880),x32521))
% 163.20/162.96 [3253]E(f333(a21,f333(f108(a104),x32531)),f333(f108(a880),x32531))
% 163.20/162.96 [3254]E(f333(f39(a880),f333(f302(a880),x32541)),f333(a117,x32541))
% 163.20/162.96 [3264]E(f333(f333(f81(a880),f79(a880)),x32641),f333(a117,x32641))
% 163.20/162.96 [3268]E(f333(f76(a1),f333(f105(a1),x32681)),f333(f105(a1),x32681))
% 163.20/162.96 [3269]E(f333(f107(a1),f333(f105(a1),x32691)),f333(f105(a1),x32691))
% 163.20/162.96 [3274]E(f333(f39(x32741),f194(f890(x32741,a874))),f2(a880))
% 163.20/162.96 [3276]E(f333(f333(f40(a880),x32761),f333(a117,f2(a880))),x32761)
% 163.20/162.96 [3285]E(f46(a880,x32851,f333(a117,f2(a880))),f2(a880))
% 163.20/162.96 [3286]E(f46(a1,x32861,f333(f108(a1),a102)),f2(a1))
% 163.20/162.96 [3302]E(f333(f333(f40(a1),x33021),f333(f108(a1),a102)),f333(f80(a1),x33021))
% 163.20/162.96 [3306]E(f140(a880,f333(f303(a880,x33061),f2(a880))),f118(a880))
% 163.20/162.96 [3307]E(f333(f333(f81(a1),x33071),f79(a1)),f333(f333(f3(a1),x33071),a102))
% 163.20/162.96 [3308]E(f333(f333(f3(a1),x33081),f79(a1)),f333(f333(f81(a1),x33081),a102))
% 163.20/162.96 [3313]P24(f333(f333(f201(a24),x33131),x33131))
% 163.20/162.96 [3314]P24(f333(f333(f250(a880),x33141),x33141))
% 163.20/162.96 [3315]P24(f333(f333(f250(a1),x33151),x33151))
% 163.20/162.96 [3316]P24(f333(f333(f92(a1),x33161),x33161))
% 163.20/162.96 [3321]E(f333(f80(a1),f333(f108(a1),x33211)),f333(f108(a1),f333(f80(a1),x33211)))
% 163.20/162.96 [3322]P24(f333(f63(a880),f333(f256(a880),x33221)))
% 163.20/162.96 [3323]P24(f333(f63(a880),f333(f302(a880),x33231)))
% 163.20/162.96 [3331]E(f162(x33311,f258(f890(x33311,a874))),f258(f890(f881(x33311),a874)))
% 163.20/162.96 [3336]P24(f333(f333(f250(a880),f2(a880)),x33361))
% 163.20/162.96 [3347]E(f333(f333(f81(a880),f116(x33471)),f333(a117,f2(a880))),f116(f333(a117,x33471)))
% 163.20/162.96 [3348]E(f333(f255(x33481),f333(f18(a874,x33481),a247)),f194(f890(x33481,a874)))
% 163.20/162.96 [3349]E(f333(f255(x33491),f333(f18(a874,x33491),a193)),f258(f890(x33491,a874)))
% 163.20/162.96 [3353]E(f333(f333(f311(a880),x33531),f333(f256(a880),x33531)),f333(f256(a880),f333(a117,x33531)))
% 163.20/162.96 [3365]E(f333(f333(f81(a1),f79(a1)),f333(f105(a1),x33651)),f333(f105(a1),f333(a117,x33651)))
% 163.20/162.96 [3368]E(f333(f333(f152(f881(x33681)),f118(x33681)),f118(f881(x33681))),f55(x33681,f118(x33681)))
% 163.20/162.96 [3387]E(f194(f890(f889(x33871,x33871),a874)),f260(x33871,f194(f890(x33871,a874))))
% 163.20/162.96 [3388]E(f333(f310(x33881),f258(f890(x33881,a874))),f258(f890(f890(x33881,a874),a874)))
% 163.20/162.96 [3389]E(f333(f80(f890(x33891,a874)),f194(f890(x33891,a874))),f258(f890(x33891,a874)))
% 163.20/162.96 [3390]E(f333(f80(f890(x33901,a874)),f258(f890(x33901,a874))),f194(f890(x33901,a874)))
% 163.20/162.96 [3392]P24(f333(f63(x33921),f194(f890(x33921,a874))))
% 163.20/162.96 [3394]E(f333(f303(a880,x33941),f333(a117,x33941)),f333(f333(f311(a880),x33941),f194(f890(a880,a874))))
% 163.20/162.96 [3395]E(f86(f889(a880,a880),f49(x33951,f2(a880))),f333(f333(f263(a880,a880),f2(a880)),x33951))
% 163.20/162.96 [3408]E(f333(f333(f311(a880),f333(a117,x34081)),f333(f302(a880),x34081)),f333(f302(a880),f333(a117,x34081)))
% 163.20/162.96 [3412]P40(x34121,f194(f890(f889(x34121,x34121),a874)))
% 163.20/162.96 [3415]P24(f333(f333(f250(a1),f2(a1)),f333(f105(a1),x34151)))
% 163.20/162.96 [3423]E(f333(f333(f81(a880),f333(f195(a880),x34231)),f333(a117,f2(a880))),f333(f195(a880),f333(a117,x34231)))
% 163.20/162.96 [3530]P42(f333(f312(a880,a1,f105(a1)),x35301))
% 163.20/162.96 [3567]P50(x35671,f194(f890(x35671,a874)),f194(f890(f889(x35671,x35671),a874)))
% 163.20/162.96 [3586]E(f333(f333(f263(a1,a1),f333(f108(a1),a102)),f333(f333(f3(a1),x35861),f79(a1))),f51(f333(f108(a1),a102),x35861))
% 163.20/162.96 [3636]P59(x36361,f333(f18(f890(x36361,a874),x36361),f333(f18(a874,x36361),a247)))
% 163.20/162.96 [3835]P24(f333(f333(f335(f890(f889(a880,a880),a874)),f334(x38351)),a103))
% 163.20/162.96 [3858]P24(f333(f333(f335(f890(f889(a880,a880),a874)),f333(a111,x38581)),a103))
% 163.20/162.96 [3991]P21(x39911,f890(x39911,a874),f333(f333(f9(x39911,f890(x39911,a874),f890(x39911,a874)),f311(x39911)),f194(f890(x39911,a874))),f258(f890(x39911,a874)))
% 163.20/162.96 [4545]~E(f333(a5,f333(a117,f333(a21,x45451))),f2(a104))
% 163.20/162.96 [4553]~P24(f333(a200,f333(f105(a1),x45531)))
% 163.20/162.96 [4556]~P24(f333(f333(f251(a880),x45561),x45561))
% 163.20/162.96 [4569]~P24(f333(f333(f250(a880),f333(a117,x45691)),x45691))
% 163.20/162.96 [3338]E(f333(a109,f333(f80(a1),f333(f105(a1),x33381))),f2(a880))
% 163.20/162.96 [3341]E(f333(f333(f81(a1),f333(f80(a1),x33411)),x33411),f2(a1))
% 163.20/162.96 [3346]E(f333(f39(a1),f333(f303(a1,f2(a1)),x33461)),f333(a109,x33461))
% 163.20/162.96 [3358]E(f333(f333(f264(a880),f333(a117,f2(a880))),x33581),f333(a117,f2(a880)))
% 163.20/162.96 [3457]E(f333(f286(x34571),f194(f890(f889(x34571,x34571),a874))),f194(f890(x34571,a874)))
% 163.20/162.96 [3464]E(f41(f890(x34641,a874),f194(f890(f890(x34641,a874),a874))),f194(f890(x34641,a874)))
% 163.20/162.96 [3465]E(f41(f890(x34651,a874),f258(f890(f890(x34651,a874),a874))),f258(f890(x34651,a874)))
% 163.20/162.96 [3466]E(f42(f890(x34661,a874),f194(f890(f890(x34661,a874),a874))),f258(f890(x34661,a874)))
% 163.20/162.96 [3467]E(f42(f890(x34671,a874),f258(f890(f890(x34671,a874),a874))),f194(f890(x34671,a874)))
% 163.20/162.96 [3512]E(f333(f333(f311(f881(x35121)),f118(x35121)),f194(f890(f881(x35121),a874))),f163(x35121,f118(f890(x35121,a874))))
% 163.20/162.96 [3513]E(f333(f333(f311(f881(x35131)),f118(x35131)),f194(f890(f881(x35131),a874))),f162(x35131,f194(f890(x35131,a874))))
% 163.20/162.96 [3549]E(f333(f333(f81(a880),f6(x35491)),f333(a117,f2(a880))),f6(f333(a5,f333(a117,f333(a21,x35491)))))
% 163.20/162.96 [3578]E(f333(f39(a1),f333(f312(a880,a1,f105(a1)),x35781)),f333(f39(a880),x35781))
% 163.20/162.96 [3581]P24(f333(f333(f250(a880),x35811),f333(f333(f82(a880),x35811),x35811)))
% 163.20/162.96 [3617]E(f333(f312(a1,a880,a109),f304(a1,f2(a1),f333(f105(a1),x36171))),f333(f302(a880),x36171))
% 163.20/162.96 [3631]E(f333(f333(f40(a880),f333(a117,f2(a880))),f333(f108(a880),x36311)),f333(a109,f333(f333(f40(a1),f79(a1)),f333(f108(a1),x36311))))
% 163.20/162.96 [3633]E(f333(f173(a880),f140(a880,f333(f303(a880,f2(a880)),f333(a117,x36331)))),f333(f302(a880),x36331))
% 163.20/162.96 [3634]E(f333(f333(f81(a880),f333(f195(a104),x36341)),f333(a117,f2(a880))),f333(f195(a104),f333(a5,f333(a117,f333(a21,x36341)))))
% 163.20/162.96 [3654]E(f333(f312(a1,a880,a109),f333(f312(a880,a1,f105(a1)),x36541)),x36541)
% 163.20/162.96 [3685]E(f333(f333(f311(a880),f2(a880)),f333(f312(a880,a880,a117),f333(f256(a880),x36851))),f333(f256(a880),f333(a117,x36851)))
% 163.20/162.96 [3692]P54(x36921,x36921,f309(x36921,f194(f890(f889(x36921,x36921),a874))))
% 163.20/162.96 [3698]P24(f333(a200,f333(f80(a1),f333(f105(a1),f333(a117,x36981)))))
% 163.20/162.96 [3709]E(f333(f333(f3(f890(a880,a874)),f333(f257(a880),x37091)),f333(f333(f311(a880),x37091),f194(f890(a880,a874)))),f333(f257(a880),f333(a117,x37091)))
% 163.20/162.96 [3735]E(f333(f333(f311(f890(x37351,a874)),f194(f890(x37351,a874))),f194(f890(f890(x37351,a874),a874))),f333(f310(x37351),f194(f890(x37351,a874))))
% 163.20/162.96 [3765]E(f333(f333(f3(f890(a880,a874)),f333(f305(a880),x37651)),f333(f333(f311(a880),f333(a117,x37651)),f194(f890(a880,a874)))),f333(f305(a880),f333(a117,x37651)))
% 163.20/162.96 [3774]E(f333(f333(f311(f884(x37741)),f197(x37741)),f333(f312(x37741,f884(x37741),f242(x37741)),f258(f890(x37741,a874)))),f258(f890(f884(x37741),a874)))
% 163.20/162.96 [4251]P11(x42511,f890(x42511,a874),f333(f333(f10(f890(x42511,a874),f890(f890(x42511,a874),f890(x42511,a874)),x42511),f333(f9(f890(x42511,a874),f890(x42511,a874),f890(x42511,a874)),f3(f890(x42511,a874)))),f333(f333(f9(x42511,f890(x42511,a874),f890(x42511,a874)),f311(x42511)),f194(f890(x42511,a874)))))
% 163.20/162.96 [4340]E(f333(f255(f889(a1,a1)),f333(f272(a1,a1,a874),f333(f333(f10(f890(a1,a874),f890(a1,a874),a1),f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),x43401)))),f251(a1)))),f112(x43401))
% 163.20/162.96 [4379]E(f333(f255(f889(a1,a1)),f333(f272(a1,a1,a874),f333(f333(f20(a1,f890(a1,a874),f890(a1,a874)),f333(f333(f10(f890(a874,a874),f890(f890(a1,a874),f890(a1,a874)),a1),f10(a874,a874,a1)),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),x43791)))),f251(a1)))),f110(x43791))
% 163.20/162.96 [4444]E(f333(f255(f889(f890(x44441,a874),f890(x44441,a874))),f333(f272(f890(x44441,a874),f890(x44441,a874),a874),f333(f333(f9(f890(x44441,a874),f890(f890(x44441,a874),a874),f890(f890(x44441,a874),a874)),f333(f333(f10(f890(f890(x44441,a874),f890(a874,a874)),f890(f890(f890(x44441,a874),a874),f890(f890(x44441,a874),a874)),f890(x44441,a874)),f20(f890(x44441,a874),a874,a874)),f333(f333(f10(f890(f890(x44441,a874),a874),f890(f890(x44441,a874),f890(a874,a874)),f890(x44441,a874)),f333(f10(a874,f890(a874,a874),f890(x44441,a874)),a331)),f251(f890(x44441,a874))))),f63(x44441)))),f308(x44441))
% 163.20/162.96 [4573]~P24(f333(f63(f881(x45731)),f258(f890(f881(x45731),a874))))
% 163.20/162.96 [4584]~P24(f333(f333(f250(a1),f2(a1)),f333(f80(a1),f333(f105(a1),f333(a117,x45841)))))
% 163.20/162.96 [3490]E(f333(f333(f3(a1),f333(f333(f81(a1),x34901),a102)),a102),x34901)
% 163.20/162.96 [3505]E(f333(f173(a880),f140(a880,f333(f303(a880,f2(a880)),x35051))),f333(f256(a880),x35051))
% 163.20/162.96 [3790]E(f333(f288(x37901,x37901),f309(x37901,f194(f890(f889(x37901,x37901),a874)))),f309(x37901,f194(f890(f889(x37901,x37901),a874))))
% 163.20/162.96 [3836]P24(f333(f333(f250(a880),x38361),f333(f333(f82(a880),x38361),f333(f333(f82(a880),x38361),x38361))))
% 163.20/162.96 [4107]P24(f333(f63(a880),f333(f255(a880),f333(f333(f9(a880,a880,a874),f251(a880)),x41071))))
% 163.20/162.96 [4108]P24(f333(f63(a880),f333(f255(a880),f333(f333(f9(a880,a880,a874),f250(a880)),x41081))))
% 163.20/162.96 [4397]E(f333(f255(f889(x43971,x43971)),f333(f333(f10(f890(x43971,a874),a874,f889(x43971,x43971)),f87(x43971)),f333(f333(f9(f889(x43971,x43971),f890(x43971,f889(x43971,x43971)),f890(x43971,a874)),f333(f333(f10(f890(f889(x43971,x43971),a874),f890(f890(x43971,f889(x43971,x43971)),f890(x43971,a874)),f889(x43971,x43971)),f10(f889(x43971,x43971),a874,x43971)),a330)),f333(f333(f20(x43971,x43971,f889(x43971,x43971)),f263(x43971,x43971)),f7(x43971))))),f309(x43971,f194(f890(f889(x43971,x43971),a874))))
% 163.20/162.96 [4576]~E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45761)),x45761),a84)
% 163.20/162.96 [4577]~E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45771)),x45771),f2(a1))
% 163.20/162.96 [3969]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),a102),x39691))),f333(f333(f3(a1),a102),x39691)),f333(f333(f3(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x39691)),x39691)))
% 163.20/162.96 [4087]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f80(a1),x40871)),a102))),f333(f333(f81(a1),f333(f80(a1),x40871)),a102)),f333(f80(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x40871)),x40871)))
% 163.20/162.96 [4164]E(f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x41641),f2(a880))),f194(f890(f889(a880,a880),a874))))),f333(f105(a1),x41641))
% 163.20/162.96 [4175]E(f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),f338(x41751)),f552(x41751))),f194(f890(f889(a880,a880),a874))))),x41751)
% 163.20/162.96 [4183]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),a102),x41831))),f333(f333(f3(a1),a102),x41831))),a102),f333(f333(f3(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41831)),x41831)))
% 163.20/162.96 [4213]E(f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x42131)),f333(f312(a880,a1,f105(a1)),f333(f255(a880),f333(f333(f10(a1,a874,a880),x42131),f105(a1)))))
% 163.20/162.96 [4259]P42(f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x42591)))
% 163.20/162.96 [4281]P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x42811),f194(f890(f889(a880,a880),a874)))),a72))
% 163.20/162.96 [4287]E(f333(f312(a1,a880,a109),f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),f333(f333(f10(a880,a874,a1),x42871),a109)))),f333(f255(a880),x42871))
% 163.20/162.96 [4457]E(f314(a880,f333(f333(f44(f889(a880,a880),f890(a880,a874)),f333(a111,x44571)),f333(f272(a880,a880,f890(a880,a874)),f333(f333(f9(a880,f890(a880,a874),f890(a880,f890(a880,a874))),f333(f333(f10(f890(a880,f890(f890(a880,a874),f890(a880,a874))),f890(f890(a880,a874),f890(a880,f890(a880,a874))),a880),f9(a880,f890(a880,a874),f890(a880,a874))),f333(f333(f10(f890(a880,a880),f890(a880,f890(f890(a880,a874),f890(a880,a874))),a880),f333(f10(a880,f890(f890(a880,a874),f890(a880,a874)),a880),f311(a880))),f3(a880)))),f194(f890(a880,a874)))))),f333(a109,x44571))
% 163.20/162.96 [4589]~P24(f333(f333(f92(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45891)),x45891)))
% 163.20/162.96 [3940]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x39401)),x39401)),a102),f333(f333(f81(a1),x39401),x39401))
% 163.20/162.96 [4198]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),x41981),a102))),f333(f333(f3(a1),x41981),a102))),a102),f333(f333(f3(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41981)),x41981)),a102))
% 163.20/162.96 [4587]~E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45871)),x45871)),a102),a102)
% 163.20/162.96 [4598]~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45981)),x45981)),a84))
% 163.20/162.96 [4160]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41601)),x41601)),a102)),f333(f333(f89(a880,a880),f333(f108(a880),x41601)),f333(f333(f20(a880,a880,a880),f81(a880)),f7(a880))))
% 163.20/162.96 [4166]E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),a102),x41661))),f333(f333(f3(a1),a102),x41661)),f333(f333(f3(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41661)),x41661)),a102)))
% 163.20/162.96 [4197]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f80(a1),x41971))),f333(f80(a1),x41971))),a102),f333(f80(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41971)),x41971)),a102)))
% 163.20/162.96 [4221]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),a84),x42211))),f333(f333(f3(a1),a84),x42211))),a102),f333(f333(f3(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42211)),x42211)),a102)))
% 163.20/162.96 [4472]E(f333(a90,f333(f333(f44(f889(a880,a880),f890(f889(a880,a880),a874)),f333(a111,x44721)),f333(f272(a880,a880,f890(f889(a880,a880),a874)),f333(f333(f10(f890(a880,f890(f889(a880,a880),a874)),f890(a880,f890(f889(a880,a880),a874)),a880),f333(f10(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874),a880),f287(f889(a880,a880),f889(a880,a880),a113))),f333(f333(f9(a880,f890(f889(a880,a880),a874),f890(a880,f890(f889(a880,a880),a874))),f333(f333(f10(f890(a880,f890(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f890(f890(f889(a880,a880),a874),f890(a880,f890(f889(a880,a880),a874))),a880),f9(a880,f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f10(f890(a880,f889(a880,a880)),f890(a880,f890(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),a880),f333(f10(f889(a880,a880),f890(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),a880),f311(f889(a880,a880)))),f333(f9(a880,a880,f889(a880,a880)),f263(a880,a880))))),f194(f890(f889(a880,a880),a874))))))),f333(f80(a1),x44721))
% 163.20/162.96 [4599]~P24(f333(f333(f92(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45991)),x45991)),a102)))
% 163.20/162.96 [4224]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42241)),x42241)),a102)),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),x42241),a102))),f333(f333(f81(a1),x42241),a102)))
% 163.20/162.96 [4362]E(f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x43621),f333(a117,f333(a117,f333(a117,x43621))))
% 163.20/162.96 [4601]~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x46011)),x46011)),a102)),a102))
% 163.20/162.96 [4405]E(f333(f333(f81(a880),x44051),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(a117,f333(a117,x44051)))
% 163.20/162.96 [4406]E(f333(f333(f82(a880),x44061),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f81(a880),x44061),x44061))
% 163.20/162.96 [4407]E(f333(f333(f40(a880),f333(f333(f81(a880),x44071),x44071)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x44071)
% 163.20/162.96 [4438]E(f46(a880,f333(a117,f333(a117,x44381)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a880,x44381,f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [4435]E(f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x44351),f333(a117,f333(a117,x44351)))
% 163.20/162.96 [4436]E(f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x44361),f333(f333(f81(a880),x44361),x44361))
% 163.20/162.96 [4448]E(f333(f333(f40(a880),f333(a117,f333(a117,x44481))),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(a117,f333(f333(f40(a880),x44481),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [4480]E(f333(f272(a1,a1,f889(a1,a1)),f333(f333(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f333(f333(f10(f890(a1,f889(a1,a1)),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f333(f20(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f333(f333(f10(a874,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f101(f889(a1,a1))),f333(f333(f10(a1,a874,a1),f333(f250(a1),f2(a1))),f333(f333(f9(a1,a1,a1),f3(a1)),x44801))))),f333(f333(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f333(f333(f9(a1,a1,a1),f333(f333(f10(a1,f890(a1,a1),a1),f81(a1)),f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f79(a1))))),f333(f333(f9(a1,a1,a1),f3(a1)),x44801))))),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))),f45(x44801))
% 163.20/162.96 [3163]P96(f888(x31631,x31632))
% 163.20/162.96 [3164]P96(f889(x31641,x31642))
% 163.20/162.96 [3165]P96(f885(x31651,x31652))
% 163.20/162.96 [3166]P105(f888(x31661,x31662))
% 163.20/162.96 [3167]P105(f889(x31671,x31672))
% 163.20/162.96 [3168]P105(f885(x31681,x31682))
% 163.20/162.96 [3185]P31(a1,f179(x31851,x31852))
% 163.20/162.96 [3186]P40(x31861,f154(x31861,x31862))
% 163.20/162.96 [3249]P34(x32491,x32492,f118(x32491))
% 163.20/162.96 [3280]P50(x32801,x32802,f260(x32801,x32802))
% 163.20/162.96 [3281]P54(x32811,x32811,f260(x32811,x32812))
% 163.20/162.96 [3552]P21(x35521,x35521,f7(x35521),x35522)
% 163.20/162.96 [3553]P21(x35531,x35531,f35(x35531),x35532)
% 163.20/162.96 [3562]P35(x35621,x35622,f118(x35621),f118(x35621))
% 163.20/162.96 [3563]P21(x35631,f884(x35631),f242(x35631),x35632)
% 163.20/162.96 [3572]P21(f881(x35721),f881(x35721),f170(x35721),x35722)
% 163.20/162.96 [4491]~E(f34(x44911,x44912),a24)
% 163.20/162.96 [4492]~E(f33(x44921,x44922),a24)
% 163.20/162.96 [4522]~P36(x45221,x45222,f118(x45221))
% 163.20/162.96 [4523]~P38(x45231,x45232,f118(x45231))
% 163.20/162.96 [3145]E(f333(f7(x31451),x31452),x31452)
% 163.20/162.96 [3146]E(f333(f255(x31461),x31462),x31462)
% 163.20/162.96 [3148]E(f333(f35(x31481),x31482),x31482)
% 163.20/162.96 [3158]E(f333(f198(x31581),x31582),f120(x31581))
% 163.20/162.96 [3183]E(f86(x31831,f333(a330,x31832)),x31832)
% 163.20/162.96 [3184]E(f91(x31841,f333(a330,x31842)),x31842)
% 163.20/162.96 [3204]E(f333(f137(x32041,x32042),f118(x32041)),f118(x32041))
% 163.20/162.96 [3223]E(f153(x32231,f153(x32231,x32232)),f153(x32231,x32232))
% 163.20/162.96 [3224]E(f309(x32241,f309(x32241,x32242)),f309(x32241,x32242))
% 163.20/162.96 [3244]E(f333(f333(f127(x32441),x32442),f118(x32441)),x32442)
% 163.20/162.96 [3255]E(f333(f333(f174(x32551),x32552),f118(x32551)),f118(x32551))
% 163.20/162.96 [3256]E(f333(f333(f139(x32561),x32562),f118(x32561)),f118(x32561))
% 163.20/162.96 [3258]E(f243(x32581,x32582,f197(x32581)),f2(a880))
% 163.20/162.96 [3259]E(f156(x32591,x32592,f118(x32591)),f2(a880))
% 163.20/162.96 [3261]E(f171(x32611,x32612,f118(x32611)),f118(x32611))
% 163.20/162.96 [3262]E(f177(x32621,x32622,f118(x32621)),f118(x32621))
% 163.20/162.96 [3263]E(f175(x32631,f118(x32631),x32632),f118(x32631))
% 163.20/162.96 [3267]E(f333(f173(x32671),f153(x32671,x32672)),f333(f173(x32671),x32672))
% 163.20/162.96 [3270]E(f333(f259(x32701,x32701),f260(x32701,x32702)),x32702)
% 163.20/162.96 [3271]E(f333(f261(x32711,x32711),f260(x32711,x32712)),x32712)
% 163.20/162.96 [3279]E(f333(f288(x32791,x32791),f260(x32791,x32792)),f260(x32791,x32792))
% 163.20/162.96 [3294]E(f309(f881(x32941),f158(x32941,x32942)),f159(x32941,f309(x32941,x32942)))
% 163.20/162.96 [3296]P24(f333(f138(a1),f179(x32961,x32962)))
% 163.20/162.96 [3304]E(f333(f259(x33041,x33041),f309(x33041,x33042)),f258(f890(x33041,a874)))
% 163.20/162.96 [3305]E(f333(f261(x33051,x33051),f309(x33051,x33052)),f258(f890(x33051,a874)))
% 163.20/162.96 [3309]P24(f333(f138(x33091),f153(x33091,x33092)))
% 163.20/162.96 [3311]P24(f333(f161(x33111,x33112),f118(x33111)))
% 163.20/162.96 [3319]E(f333(f173(a1),f179(x33191,x33192)),f304(a1,x33191,x33192))
% 163.20/162.96 [3334]P55(x33341,f194(f890(x33341,a874)),x33342)
% 163.20/162.96 [3339]E(f333(f271(a1,a1),f47(x33391,x33392)),f46(a1,x33391,x33392))
% 163.20/162.96 [3340]E(f333(f303(a880,x33401),f333(a117,x33402)),f304(a880,x33401,x33402))
% 163.20/162.96 [3357]E(f333(f333(f152(x33571),x33572),f118(x33571)),f141(x33571,x33572,f118(x33571)))
% 163.20/162.96 [3370]E(f304(a880,f333(a117,x33701),x33702),f306(a880,x33701,x33702))
% 163.20/162.96 [3373]P50(x33731,f258(f890(x33731,a874)),f309(x33731,x33732))
% 163.20/162.96 [3434]E(f333(f333(f3(a880),x34341),f333(a117,x34342)),f333(f39(a880),f307(a880,x34342,x34341)))
% 163.20/162.96 [3491]E(f168(x34911,x34912,f118(x34911)),f333(f333(f263(f881(x34911),f881(x34911)),f118(x34911)),f118(x34911)))
% 163.20/162.96 [3510]E(f333(f272(x35101,x35102,f889(x35101,x35102)),f263(x35101,x35102)),f35(f889(x35101,x35102)))
% 163.20/162.96 [3515]P24(f333(f333(f335(f881(x35151)),f118(x35151)),f162(x35151,x35152)))
% 163.20/162.96 [3516]E(f333(f195(f881(x35161)),f119(x35161,x35162)),f333(f333(f3(a880),f333(f195(f881(x35161)),x35162)),f79(a880)))
% 163.20/162.96 [3524]P24(f333(f63(a880),f307(a880,x35241,x35242)))
% 163.20/162.96 [3525]P24(f333(f63(a880),f306(a880,x35251,x35252)))
% 163.20/162.96 [3526]P24(f333(f63(a880),f304(a880,x35261,x35262)))
% 163.20/162.96 [3527]P24(f333(f63(a1),f307(a1,x35271,x35272)))
% 163.20/162.96 [3528]P24(f333(f63(a1),f306(a1,x35281,x35282)))
% 163.20/162.96 [3529]P24(f333(f63(a1),f304(a1,x35291,x35292)))
% 163.20/162.96 [3630]E(f333(f312(a880,a880,a117),f304(a880,x36301,x36302)),f304(a880,f333(a117,x36301),f333(a117,x36302)))
% 163.20/162.96 [3651]E(f333(f333(f290(x36511,x36511,x36511),f309(x36511,x36512)),f309(x36511,x36512)),f309(x36511,x36512))
% 163.20/162.96 [3683]E(f333(f333(f263(a104,a104),f333(f333(f40(a104),x36831),x36832)),f46(a104,x36831,x36832)),f23(x36831,x36832))
% 163.20/162.96 [3684]E(f333(f333(f263(a1,a1),f333(f333(f40(a1),x36841),x36842)),f46(a1,x36841,x36842)),f47(x36841,x36842))
% 163.20/162.96 [3713]E(f333(f333(f263(a880,a880),f333(f333(f40(a880),x37131),x37132)),f46(a880,x37131,x37132)),f86(f889(a880,a880),f49(x37131,x37132)))
% 163.20/162.96 [3757]P24(f333(f333(f251(a880),f333(f333(f3(a880),x37571),x37572)),f333(a117,x37571)))
% 163.20/162.96 [3857]E(f333(f333(f81(a1),f333(f333(f82(a1),x38571),f333(f333(f40(a1),x38572),x38571))),f46(a1,x38572,x38571)),x38572)
% 163.20/162.96 [3861]E(f333(f333(f44(a880,f890(f889(f881(x38611),f881(x38611)),a874)),f258(f890(a880,a874))),f144(x38611,x38612)),f146(x38611,x38612))
% 163.20/162.96 [4082]P24(f333(f333(f335(f889(f881(x40821),f881(x40821))),f333(f333(f263(f881(x40821),f881(x40821)),f118(x40821)),f118(x40821))),f159(x40821,x40822)))
% 163.20/162.96 [4245]E(f273(x42451,x42451,x42452,x42452,f7(x42451),f7(x42452)),f35(f889(x42451,x42452)))
% 163.20/162.96 [4247]E(f273(x42471,x42471,x42472,x42472,f35(x42471),f35(x42472)),f35(f889(x42471,x42472)))
% 163.20/162.96 [4500]~E(f333(f242(x45001),x45002),f197(x45001))
% 163.20/162.96 [4510]~P41(x45101,f333(f242(x45101),x45102))
% 163.20/162.96 [3242]E(f333(f246(x32421),f333(f242(x32421),x32422)),x32422)
% 163.20/162.96 [3243]E(f333(f170(x32431),f333(f170(x32431),x32432)),x32432)
% 163.20/162.96 [3245]E(f333(f333(f139(x32451),f2(a880)),x32452),x32452)
% 163.20/162.96 [3257]E(f333(f333(f174(x32571),f2(a880)),x32572),f118(x32571))
% 163.20/162.96 [3265]E(f333(f333(f127(x32651),f118(x32651)),x32652),x32652)
% 163.20/162.96 [3273]E(f333(f195(f884(x32731)),f333(f242(x32731),x32732)),f2(a880))
% 163.20/162.96 [3275]E(f41(f890(x32751,a874),f333(f310(x32751),x32752)),x32752)
% 163.20/162.96 [3277]E(f333(f173(x32771),f333(f169(x32771),x32772)),f333(f173(x32771),x32772))
% 163.20/162.96 [3278]E(f333(f173(x32781),f333(f170(x32781),x32782)),f333(f173(x32781),x32782))
% 163.20/162.96 [3283]E(f333(f333(f3(a104),x32831),x32832),f333(f333(a4,x32831),x32832))
% 163.20/162.96 [3298]E(f333(f333(f81(a880),x32981),x32982),f333(f333(f81(a880),x32982),x32981))
% 163.20/162.96 [3299]E(f333(f333(f81(a1),x32991),x32992),f333(f333(f81(a1),x32992),x32991))
% 163.20/162.96 [3300]E(f333(f333(f82(a880),x33001),x33002),f333(f333(f82(a880),x33002),x33001))
% 163.20/162.96 [3301]E(f333(f333(f82(a1),x33011),x33012),f333(f333(f82(a1),x33012),x33011))
% 163.20/162.96 [3326]E(f333(f333(f189(x33261,x33261),f2(a880)),x33262),f35(x33261))
% 163.20/162.96 [3327]E(f333(f195(f881(x33271)),f333(f169(x33271),x33272)),f333(f195(f881(x33271)),x33272))
% 163.20/162.96 [3328]E(f333(f195(f881(x33281)),f333(f170(x33281),x33282)),f333(f195(f881(x33281)),x33282))
% 163.20/162.96 [3329]E(f175(x33291,x33292,f194(f890(a880,a874))),f118(x33291))
% 163.20/162.96 [3330]E(f333(f333(f155(x33301,x33301),f7(x33301)),x33302),x33302)
% 163.20/162.96 [3332]E(f333(f262(a1,a1),f47(x33321,x33322)),f333(f333(f40(a1),x33321),x33322))
% 163.20/162.96 [3350]E(f333(f195(f881(x33501)),f153(x33501,x33502)),f333(f39(x33501),f333(f173(x33501),x33502)))
% 163.20/162.96 [3351]E(f32(f33(x33511,x33512)),f333(f333(f81(a880),f32(x33512)),f333(a117,f2(a880))))
% 163.20/162.96 [3352]E(f333(f286(x33521),f333(f288(x33521,x33521),x33522)),f333(f286(x33521),x33522))
% 163.20/162.96 [3356]P24(f333(f63(x33561),f333(f173(x33561),x33562)))
% 163.20/162.96 [3364]E(f333(f333(f81(a1),x33641),f333(f80(a1),x33642)),f333(f333(f3(a1),x33641),x33642))
% 163.20/162.96 [3372]P20(x33721,x33722,f194(f890(f879(x33721),a874)))
% 163.20/162.96 [3374]E(f333(f313(x33741,x33741,f7(x33741)),x33742),x33742)
% 163.20/162.96 [3375]E(f333(f313(x33751,x33751,f35(x33751)),x33752),x33752)
% 163.20/162.96 [3376]E(f333(f312(x33761,x33761,f7(x33761)),x33762),x33762)
% 163.20/162.96 [3377]E(f333(f312(x33771,x33771,f35(x33771)),x33772),x33772)
% 163.20/162.96 [3378]P24(f333(f258(f890(x33781,a874)),x33782))
% 163.20/162.96 [3380]E(f333(f39(a880),f333(f303(a880,x33801),x33802)),f333(f333(f3(a880),x33802),x33801))
% 163.20/162.96 [3381]E(f333(f303(a880,f333(a117,x33811)),x33812),f307(a880,x33811,x33812))
% 163.20/162.96 [3393]E(f333(f333(f311(x33931),x33932),f194(f890(x33931,a874))),f333(f255(x33931),f333(a330,x33932)))
% 163.20/162.96 [3397]E(f333(f333(f311(x33971),x33972),f194(f890(x33971,a874))),f241(x33971,f333(f242(x33971),x33972)))
% 163.20/162.96 [3400]E(f309(x34001,f333(f288(x34001,x34001),x34002)),f333(f288(x34001,x34001),f309(x34001,x34002)))
% 163.20/162.96 [3404]E(f333(f333(f81(a880),f333(a117,x34041)),x34042),f333(f333(f81(a880),x34041),f333(a117,x34042)))
% 163.20/162.96 [3405]E(f333(f333(f3(a880),f333(a117,x34051)),f333(a117,x34052)),f333(f333(f3(a880),x34051),x34052))
% 163.20/162.96 [3410]E(f56(x34101,f2(a880),x34102),f333(f333(f152(f881(x34101)),f118(x34101)),f118(f881(x34101))))
% 163.20/162.96 [3411]E(f333(f39(a880),f306(a880,x34111,x34112)),f333(f333(f3(a880),x34112),x34111))
% 163.20/162.96 [3420]P40(x34201,f333(f333(f289(a880,x34201),a254),x34202))
% 163.20/162.96 [3422]P31(a880,f140(a880,f333(f303(a880,x34221),x34222)))
% 163.20/162.96 [3424]P24(f333(f63(a880),f333(f303(a880,x34241),x34242)))
% 163.20/162.96 [3425]P24(f333(f63(a1),f333(f303(a1,x34251),x34252)))
% 163.20/162.96 [3427]E(f333(f288(f881(x34271),f881(x34271)),f158(x34271,x34272)),f158(x34271,f333(f288(x34271,x34271),x34272)))
% 163.20/162.96 [3428]E(f333(f195(a875),f33(x34281,x34282)),f333(f333(f81(a880),f333(f195(a875),x34282)),f333(a117,f2(a880))))
% 163.20/162.96 [3430]E(f333(f303(a1,x34301),f333(f333(f81(a1),x34302),f79(a1))),f304(a1,x34301,x34302))
% 163.20/162.96 [3433]E(f333(f333(f40(a1),f333(f80(a1),x34331)),f333(f80(a1),x34332)),f333(f333(f40(a1),x34331),x34332))
% 163.20/162.96 [3441]E(f184(x34411,x34412,f333(f18(f884(x34412),x34411),f197(x34412))),f194(f890(x34411,a874)))
% 163.20/162.96 [3442]E(f186(x34421,x34422,f333(f18(f884(x34422),x34421),f197(x34422))),f194(f890(x34422,a874)))
% 163.20/162.96 [3443]E(f333(f333(f189(f889(x34431,x34431),a874),f79(a880)),x34432),x34432)
% 163.20/162.96 [3445]E(f333(f333(f115(f890(x34451,a874)),x34452),f194(f890(x34451,a874))),x34452)
% 163.20/162.96 [3446]E(f333(f333(f3(f890(x34461,a874)),x34462),f194(f890(x34461,a874))),x34462)
% 163.20/162.96 [3447]E(f333(f333(f106(f890(x34471,a874)),x34472),f258(f890(x34471,a874))),x34472)
% 163.20/162.96 [3448]E(f333(f262(a880,a880),f86(f889(a880,a880),f49(x34481,x34482))),f333(f333(f40(a880),x34481),x34482))
% 163.20/162.96 [3455]E(f315(x34551,f333(a22,x34552),f333(f80(a1),f333(a22,x34552))),f333(f333(f318(a1),x34551),x34552))
% 163.20/162.96 [3456]E(f304(a1,f333(f333(f81(a1),x34561),f79(a1)),x34562),f306(a1,x34561,x34562))
% 163.20/162.96 [3461]E(f333(f271(a880,a880),f86(f889(a880,a880),f49(x34611,x34612))),f46(a880,x34611,x34612))
% 163.20/162.96 [3468]E(f316(x34681,f333(a22,x34682),f333(f80(a1),f333(a22,x34682))),f317(a1,x34681,x34682))
% 163.20/162.96 [3471]P24(f333(f333(f335(x34711),x34712),f258(f890(x34711,a874))))
% 163.20/162.96 [3476]E(f333(f333(f3(a880),f333(a117,x34761)),x34762),f333(f39(a880),f304(a880,x34762,x34761)))
% 163.20/162.96 [3501]E(f333(f333(f115(f890(x35011,a874)),x35012),f258(f890(x35011,a874))),f258(f890(x35011,a874)))
% 163.20/162.96 [3502]E(f333(f333(f3(f890(x35021,a874)),x35022),f258(f890(x35021,a874))),f194(f890(x35021,a874)))
% 163.20/162.96 [3503]E(f333(f333(f106(f890(x35031,a874)),x35032),f194(f890(x35031,a874))),f194(f890(x35031,a874)))
% 163.20/162.96 [3518]E(f46(a1,f333(f80(a1),x35181),f333(f80(a1),x35182)),f333(f80(a1),f46(a1,x35181,x35182)))
% 163.20/162.96 [3519]E(f46(a1,f333(f105(a1),x35191),f333(f105(a1),x35192)),f333(f105(a1),f46(a880,x35191,x35192)))
% 163.20/162.96 [3531]E(f333(f195(f881(x35311)),f333(f172(x35311),x35312)),f333(f333(f3(a880),f333(f195(f881(x35311)),x35312)),f79(a880)))
% 163.20/162.96 [3554]E(f333(f333(f40(a1),f46(a1,x35541,x35542)),x35542),f2(a1))
% 163.20/162.96 [3565]E(f333(a5,f46(a880,f333(a21,x35651),f333(a21,x35652))),f46(a104,x35651,x35652))
% 163.20/162.96 [3599]E(f333(a5,f333(f333(f3(a880),f333(a21,x35991)),f333(a21,x35992))),f333(f333(f3(a104),x35991),x35992))
% 163.20/162.96 [3600]E(f333(a5,f333(f333(f81(a880),f333(a21,x36001)),f333(a21,x36002))),f333(f333(f81(a104),x36001),x36002))
% 163.20/162.96 [3601]E(f333(a5,f333(f333(f82(a880),f333(a21,x36011)),f333(a21,x36012))),f333(f333(f82(a104),x36011),x36012))
% 163.20/162.96 [3602]E(f333(a5,f333(f333(f40(a880),f333(a21,x36021)),f333(a21,x36022))),f333(f333(f40(a104),x36021),x36022))
% 163.20/162.96 [3611]E(f333(f312(a880,a880,a117),f333(f303(a880,x36111),x36112)),f333(f303(a880,f333(a117,x36111)),f333(a117,x36112)))
% 163.20/162.96 [3635]P24(f333(f49(x36351,x36352),f86(f889(a880,a880),f49(x36351,x36352))))
% 163.20/162.96 [3657]E(f333(f333(f81(a880),f333(f333(f81(a880),f32(x36571)),f32(x36572))),f333(a117,f2(a880))),f32(f34(x36571,x36572)))
% 163.20/162.96 [3658]E(f46(a880,f333(a117,f46(a880,x36581,x36582)),x36582),f46(a880,f333(a117,x36581),x36582))
% 163.20/162.96 [3672]E(f333(f333(f44(f890(x36721,a874),f890(x36721,a874)),x36722),f7(f890(x36721,a874))),f41(f890(x36721,a874),x36722))
% 163.20/162.96 [3673]E(f333(f333(f43(f890(x36731,a874),f890(x36731,a874)),x36732),f7(f890(x36731,a874))),f42(f890(x36731,a874),x36732))
% 163.20/162.96 [3674]E(f333(f312(f881(x36741),f890(x36741,a874),f173(x36741)),f333(f173(f881(x36741)),f55(x36741,x36742))),f333(f310(x36741),f333(f173(x36741),x36742)))
% 163.20/162.96 [3677]P24(f333(f333(f335(f890(x36771,a874)),x36772),f333(f310(x36771),x36772)))
% 163.20/162.96 [3682]E(f46(a1,f333(f80(a1),f46(a1,x36821,x36822)),x36822),f46(a1,f333(f80(a1),x36821),x36822))
% 163.20/162.96 [3694]P24(f333(f333(f250(f890(x36941,a874)),x36942),f258(f890(x36941,a874))))
% 163.20/162.96 [3696]E(f333(f333(f290(x36961,x36961,x36961),f309(x36961,x36962)),f309(x36961,f309(x36961,x36962))),f309(x36961,x36962))
% 163.20/162.96 [3697]E(f333(f333(f115(f890(x36971,a874)),f333(f261(x36971,x36971),x36972)),f333(f259(x36971,x36971),x36972)),f333(f286(x36971),x36972))
% 163.20/162.96 [3718]E(f320(x37181,x37182,f258(f890(x37181,a874)),f258(f890(x37182,a874))),f258(f890(f888(x37181,x37182),a874)))
% 163.20/162.96 [3766]P24(f333(f333(f250(a880),f46(a880,x37661,x37662)),x37661))
% 163.20/162.96 [3788]P24(f333(f333(f250(a1),f333(f80(a1),f333(f105(a1),x37881))),f333(f105(a1),x37882)))
% 163.20/162.96 [3815]P24(f333(f333(f335(f890(x38151,a874)),f194(f890(x38151,a874))),f333(f310(x38151),x38152)))
% 163.20/162.96 [3820]E(f309(x38201,f333(f333(f290(x38201,x38201,x38201),x38202),f309(x38201,x38202))),f309(x38201,x38202))
% 163.20/162.96 [3823]E(f333(f333(f290(x38231,x38231,x38231),f309(x38231,x38232)),x38232),f333(f333(f290(x38231,x38231,x38231),x38232),f309(x38231,x38232)))
% 163.20/162.96 [3825]E(f333(a109,f333(f333(f81(a1),f333(f333(f3(a1),x38251),x38252)),f79(a1))),f333(f39(a1),f304(a1,x38252,x38251)))
% 163.20/162.96 [3837]E(f333(f259(x38371,x38371),f333(f333(f290(x38371,x38371,x38371),x38372),f309(x38371,x38372))),f333(f259(x38371,x38371),x38372))
% 163.20/162.96 [3838]E(f333(f261(x38381,x38381),f333(f333(f290(x38381,x38381,x38381),x38382),f309(x38381,x38382))),f333(f261(x38381,x38381),x38382))
% 163.20/162.96 [3854]E(f333(f333(f81(a880),f333(f333(f81(a880),f333(f195(a875),x38541)),f333(f195(a875),x38542))),f333(a117,f2(a880))),f333(f195(a875),f34(x38541,x38542)))
% 163.20/162.96 [3865]P21(a880,a880,f333(f333(f9(a880,a880,a880),f81(a880)),x38651),x38652)
% 163.20/162.96 [3867]P31(a880,f333(f170(a880),f333(f333(f155(f881(x38671),a880),f195(f881(x38671))),f180(x38671,x38672))))
% 163.20/162.96 [3909]P24(f333(f333(f251(a1),f333(f80(a1),f333(f105(a1),f333(a117,x39091)))),f333(f105(a1),x39092)))
% 163.20/162.96 [3955]E(f333(f143(f881(x39551),x39551,f333(f9(x39551,f881(x39551),f881(x39551)),f152(x39551)),f118(x39551)),x39552),f333(f170(x39551),x39552))
% 163.20/162.96 [4006]P24(f333(f333(f250(f890(f889(f881(x40061),f881(x40061)),a874)),f159(x40061,x40062)),f309(f881(x40061),f158(x40061,x40062))))
% 163.20/162.96 [4035]P24(f333(f49(x40351,x40352),f333(f333(f263(a880,a880),f333(f333(f40(a880),x40351),x40352)),f46(a880,x40351,x40352))))
% 163.20/162.96 [4046]P24(f333(f333(f250(f890(f889(f881(x40461),f881(x40461)),a874)),f158(x40461,f309(x40461,x40462))),f309(f881(x40461),f158(x40461,x40462))))
% 163.20/162.96 [4272]E(f333(f333(f274(f889(a104,a104),a104,f889(a104,a104),f889(x42721,f889(a104,a104))),f278(f333(f167(a104),f333(f333(f155(f889(a104,x42721),a104),f262(a104,x42721)),x42722)))),f333(f333(f10(x42721,f890(f889(a104,a104),f889(x42721,f889(a104,a104))),a104),f263(x42721,f889(a104,a104))),f279(x42721,x42722))),f277(x42721,x42722))
% 163.20/162.96 [4387]E(f333(f244(a880,f889(x43871,f882(x43871)),f2(a880),f333(f272(x43871,f882(x43871),a880),f333(f18(f890(f882(x43871),a880),x43871),f333(f333(f9(f882(x43871),a880,a880),f333(f333(f10(a880,f890(a880,a880),f882(x43871)),f81(a880)),f195(f882(x43871)))),f79(a880))))),f333(f134(x43871),x43872)),f333(f195(f882(x43871)),x43872))
% 163.20/162.96 [4471]E(f333(f272(f890(f889(x44711,x44711),a874),f890(f889(x44711,x44711),a874),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f333(f333(f9(f890(f889(x44711,x44711),a874),f890(f890(f889(x44711,x44711),a874),f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874))),f890(f890(f889(x44711,x44711),a874),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874))))),f333(f333(f10(f890(f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874)),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f890(f890(f890(f889(x44711,x44711),a874),f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874))),f890(f890(f889(x44711,x44711),a874),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874))))),f890(f889(x44711,x44711),a874)),f10(f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874)),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874))),f890(f889(x44711,x44711),a874))),f333(f333(f10(f890(f890(x44712,x44711),f890(f890(f889(x44712,x44712),a874),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f890(f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874)),f890(f890(x44712,x44711),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f890(f889(x44711,x44711),a874)),f20(f890(x44712,x44711),f890(f889(x44712,x44712),a874),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f333(f333(f10(f890(f890(x44712,x44711),f890(f889(x44712,x44712),a874)),f890(f890(x44712,x44711),f890(f890(f889(x44712,x44712),a874),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f890(f889(x44711,x44711),a874)),f333(f10(f890(f889(x44712,x44712),a874),f890(f890(f889(x44712,x44712),a874),f889(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874))),f890(x44712,x44711)),f263(f890(f889(x44712,x44712),a874),f890(f889(x44712,x44712),a874)))),f289(x44711,x44712))))),f289(x44711,x44712))),f75(x44711,x44712))
% 163.20/162.96 [4554]~E(f333(f310(x45541),x45542),f194(f890(f890(x45541,a874),a874)))
% 163.20/162.96 [4572]~P24(f333(f333(f335(x45721),x45722),f194(f890(x45721,a874))))
% 163.20/162.96 [4579]~P24(f333(f333(f251(f890(x45791,a874)),x45792),f194(f890(x45791,a874))))
% 163.20/162.96 [3383]E(f333(f333(f3(a880),x33831),f333(f333(f81(a880),x33831),x33832)),f2(a880))
% 163.20/162.96 [3385]E(f333(f333(f115(f890(x33851,a874)),x33852),x33852),x33852)
% 163.20/162.96 [3386]E(f333(f333(f106(f890(x33861,a874)),x33862),x33862),x33862)
% 163.20/162.96 [3413]E(f333(f333(f3(f890(x34131,a874)),x34132),x34132),f194(f890(x34131,a874)))
% 163.20/162.96 [3416]E(f333(f144(x34161,x34162),f2(a880)),f194(f890(f889(f881(x34161),f881(x34161)),a874)))
% 163.20/162.96 [3417]E(f333(f333(f81(a880),x34171),f333(a117,x34172)),f333(a117,f333(f333(f81(a880),x34171),x34172)))
% 163.20/162.96 [3429]E(f202(f333(f105(a1),x34291),f333(f105(a1),x34292)),f333(f105(a1),f333(f333(f3(a880),x34291),x34292)))
% 163.20/162.96 [3432]E(f333(f333(f40(a1),f333(f80(a1),x34321)),x34322),f333(f333(f40(a1),x34321),f333(f80(a1),x34322)))
% 163.20/162.96 [3436]E(f333(f39(a1),f333(f303(a1,x34361),x34362)),f333(a109,f333(f333(f3(a1),x34362),x34361)))
% 163.20/162.96 [3439]E(f333(f333(f81(a880),f333(a117,x34391)),x34392),f333(a117,f333(f333(f81(a880),x34391),x34392)))
% 163.20/162.96 [3444]E(f333(f80(f890(x34441,a874)),f333(f80(f890(x34441,a874)),x34442)),x34442)
% 163.20/162.96 [3458]E(f180(x34581,f333(f333(f152(f881(x34581)),f118(x34581)),x34582)),f180(x34581,x34582))
% 163.20/162.96 [3462]E(f333(f333(f81(a880),x34621),f333(f333(f82(a880),x34621),x34622)),f333(f333(f82(a880),x34621),f333(a117,x34622)))
% 163.20/162.96 [3469]E(f333(f333(a4,f333(a5,x34691)),f333(a5,x34692)),f333(a5,f333(f333(f3(a880),x34691),x34692)))
% 163.20/162.96 [3482]E(f333(f333(f82(a1),f333(f80(a1),x34821)),x34822),f333(f80(a1),f333(f333(f82(a1),x34821),x34822)))
% 163.20/162.96 [3484]E(f333(f333(f264(a1),f333(f105(a1),x34841)),x34842),f333(f105(a1),f333(f333(f264(a880),x34841),x34842)))
% 163.20/162.96 [3485]E(f333(f333(f81(a104),f333(a5,x34851)),f333(a5,x34852)),f333(a5,f333(f333(f81(a880),x34851),x34852)))
% 163.20/162.96 [3486]E(f333(f333(f82(a104),f333(a5,x34861)),f333(a5,x34862)),f333(a5,f333(f333(f82(a880),x34861),x34862)))
% 163.20/162.96 [3487]E(f333(f333(f248(a880),f333(a117,x34871)),f333(a117,x34872)),f333(a117,f333(f333(f248(a880),x34871),x34872)))
% 163.20/162.96 [3488]E(f333(f333(f249(a880),f333(a117,x34881)),f333(a117,x34882)),f333(a117,f333(f333(f249(a880),x34881),x34882)))
% 163.20/162.96 [3494]E(f333(f173(a880),f140(a880,f333(f303(a880,x34941),x34942))),f333(f303(a880,x34941),x34942))
% 163.20/162.96 [3495]E(f314(x34951,f333(f333(f311(x34951),x34952),f194(f890(x34951,a874)))),x34952)
% 163.20/162.96 [3499]E(f333(f259(x34991,x34992),f194(f890(f889(x34991,x34992),a874))),f194(f890(x34992,a874)))
% 163.20/162.96 [3500]E(f333(f261(x35001,x35002),f194(f890(f889(x35001,x35002),a874))),f194(f890(x35001,a874)))
% 163.20/162.96 [3504]E(f333(a109,f333(f333(f3(a1),x35041),x35042)),f333(f39(a1),f306(a1,x35042,x35041)))
% 163.20/162.96 [3509]E(f333(f333(f81(a880),x35091),f333(f333(f82(a880),x35092),x35091)),f333(f333(f82(a880),f333(a117,x35092)),x35091))
% 163.20/162.96 [3511]E(f333(f333(f62(x35111),f194(f890(x35111,a874))),x35112),f194(f890(f890(x35111,a874),a874)))
% 163.20/162.96 [3520]E(f333(f195(f881(a880)),f140(a880,f333(f303(a880,x35201),x35202))),f333(f333(f3(a880),x35202),x35201))
% 163.20/162.96 [3535]E(f333(f333(f115(f890(x35351,a874)),f194(f890(x35351,a874))),x35352),x35352)
% 163.20/162.96 [3536]E(f333(f333(f106(f890(x35361,a874)),f258(f890(x35361,a874))),x35362),x35362)
% 163.20/162.96 [3537]E(f333(f333(f81(a1),f333(f80(a1),x35371)),f333(f80(a1),x35372)),f333(f80(a1),f333(f333(f81(a1),x35371),x35372)))
% 163.20/162.96 [3540]E(f333(f333(f81(a1),f333(f108(a1),x35401)),f333(f108(a1),x35402)),f333(f108(a1),f333(f333(f81(a1),x35401),x35402)))
% 163.20/162.96 [3542]E(f333(f333(f81(a1),f333(f105(a1),x35421)),f333(f105(a1),x35422)),f333(f105(a1),f333(f333(f81(a880),x35421),x35422)))
% 163.20/162.96 [3543]E(f333(f333(f82(a1),f333(f108(a1),x35431)),f333(f108(a1),x35432)),f333(f108(a1),f333(f333(f82(a1),x35431),x35432)))
% 163.20/162.96 [3545]E(f333(f333(f82(a1),f333(f105(a1),x35451)),f333(f105(a1),x35452)),f333(f105(a1),f333(f333(f82(a880),x35451),x35452)))
% 163.20/162.96 [3546]E(f333(f333(f40(a1),f333(f105(a1),x35461)),f333(f105(a1),x35462)),f333(f105(a1),f333(f333(f40(a880),x35461),x35462)))
% 163.20/162.96 [3566]E(f333(f333(f8(x35661,a880),f333(f18(a880,x35661),f79(a880))),x35662),f333(f39(x35661),x35662))
% 163.20/162.96 [3573]E(f333(f80(a1),f46(a1,f333(f80(a1),x35731),x35732)),f46(a1,x35731,f333(f80(a1),x35732)))
% 163.20/162.96 [3575]E(f333(f173(a1),f179(x35751,f333(f333(f3(a1),x35752),f79(a1)))),f333(f303(a1,x35751),x35752))
% 163.20/162.96 [3579]P24(f333(f333(f250(a880),x35791),f333(f333(f81(a880),x35792),x35791)))
% 163.20/162.96 [3580]P24(f333(f333(f250(a880),x35801),f333(f333(f81(a880),x35801),x35802)))
% 163.20/162.96 [3583]E(f333(f333(f115(f890(x35831,a874)),f258(f890(x35831,a874))),x35832),f258(f890(x35831,a874)))
% 163.20/162.96 [3584]E(f333(f333(f3(f890(x35841,a874)),f194(f890(x35841,a874))),x35842),f194(f890(x35841,a874)))
% 163.20/162.96 [3585]E(f333(f333(f106(f890(x35851,a874)),f194(f890(x35851,a874))),x35852),f194(f890(x35851,a874)))
% 163.20/162.96 [3590]E(f333(f333(f263(a1,a1),x35901),f333(f80(a1),x35902)),f333(a52,f333(f333(f263(a1,a1),x35901),x35902)))
% 163.20/162.96 [3591]E(f333(f303(a1,f333(f333(f81(a1),x35911),f79(a1))),x35912),f307(a1,x35911,x35912))
% 163.20/162.96 [3603]E(f333(f333(f82(a880),x36031),f333(f333(f40(a880),x36032),x36031)),f333(f333(f3(a880),x36032),f46(a880,x36032,x36031)))
% 163.20/162.96 [3604]E(f333(f333(f82(a1),x36041),f333(f333(f40(a1),x36042),x36041)),f333(f333(f3(a1),x36042),f46(a1,x36042,x36041)))
% 163.20/162.96 [3608]E(f333(f173(a1),f179(f333(f333(f81(a1),x36081),f79(a1)),x36082)),f306(a1,x36081,x36082))
% 163.20/162.96 [3612]P24(f333(f333(f250(f890(x36121,a874)),x36122),x36122))
% 163.20/162.96 [3615]E(f333(f333(f115(f890(x36151,a874)),x36152),f333(f80(f890(x36151,a874)),x36152)),f258(f890(x36151,a874)))
% 163.20/162.96 [3616]E(f333(f333(f106(f890(x36161,a874)),x36162),f333(f80(f890(x36161,a874)),x36162)),f194(f890(x36161,a874)))
% 163.20/162.96 [3622]E(f333(f333(f3(a880),f333(f333(f3(a880),x36221),f79(a880))),x36222),f333(f333(f3(a880),x36221),f333(a117,x36222)))
% 163.20/162.96 [3627]E(f333(f333(f3(f890(x36271,a874)),f258(f890(x36271,a874))),x36272),f333(f80(f890(x36271,a874)),x36272))
% 163.20/162.96 [3628]E(f333(f333(f3(a1),f333(f108(a1),x36281)),f333(f108(a1),x36282)),f333(f108(a1),f333(f333(f81(a1),x36281),f333(f80(a1),x36282))))
% 163.20/162.96 [3641]E(f333(f173(a880),f140(a880,f333(f303(a880,x36411),f333(a117,x36412)))),f304(a880,x36411,x36412))
% 163.20/162.96 [3649]P24(f333(f333(f333(f333(a203,a24),x36491),x36492),x36491))
% 163.20/162.96 [3655]E(f333(f195(f881(f881(x36551))),f55(x36551,x36552)),f333(f333(f264(a880),f333(a117,f333(a117,f2(a880)))),f333(f195(f881(x36551)),x36552)))
% 163.20/162.96 [3675]E(f333(f333(f189(f889(x36751,x36751),a874),f2(a880)),x36752),f309(x36751,f194(f890(f889(x36751,x36751),a874))))
% 163.20/162.96 [3679]P24(f333(f138(a880),f140(a880,f333(f303(a880,x36791),x36792))))
% 163.20/162.96 [3695]E(f333(f312(a1,a880,a109),f304(a1,f333(f105(a1),x36951),f333(f105(a1),x36952))),f304(a880,x36951,x36952))
% 163.20/162.96 [3705]E(f191(a880,f2(a880),f7(a880),f333(f333(f3(a880),x37051),x37052)),f333(f333(f3(a880),x37051),f333(a117,x37052)))
% 163.20/162.96 [3706]E(f333(a109,f333(f333(f3(a1),x37061),f333(f333(f81(a1),x37062),f79(a1)))),f333(f39(a1),f307(a1,x37062,x37061)))
% 163.20/162.96 [3736]E(f333(f333(f155(a880,a880),a117),f140(a880,f333(f303(a880,x37361),x37362))),f140(a880,f333(f303(a880,f333(a117,x37361)),f333(a117,x37362))))
% 163.20/162.96 [3742]E(f333(f173(a1),f179(f333(f333(f81(a1),x37421),f79(a1)),f333(f333(f3(a1),x37422),f79(a1)))),f307(a1,x37421,x37422))
% 163.20/162.96 [3753]P24(f333(f333(f250(f890(x37531,a874)),f194(f890(x37531,a874))),x37532))
% 163.20/162.96 [3758]E(f86(x37581,f333(f333(f9(x37581,x37581,a874),a330),x37582)),x37582)
% 163.20/162.96 [3759]E(f91(x37591,f333(f333(f9(x37591,x37591,a874),a330),x37592)),x37592)
% 163.20/162.96 [3767]E(f333(f173(a880),f140(a880,f333(f303(a880,f333(a117,x37671)),f333(a117,x37672)))),f306(a880,x37671,x37672))
% 163.20/162.96 [3791]E(f333(f333(f270(x37911,x37912),f258(f890(x37911,a874))),f333(f18(f890(x37912,a874),x37911),f258(f890(x37912,a874)))),f258(f890(f889(x37911,x37912),a874)))
% 163.20/162.96 [3827]E(f333(f255(x38271),f333(f333(f10(a874,a874,x38271),a328),x38272)),f333(f80(f890(x38271,a874)),f333(f255(x38271),x38272)))
% 163.20/162.96 [3830]E(f333(f255(x38301),f333(f333(f9(x38301,x38301,a874),a330),x38302)),f333(f333(f311(x38301),x38302),f194(f890(x38301,a874))))
% 163.20/162.96 [3851]P24(f333(f333(f250(a880),f333(f39(x38511),f333(f173(x38511),x38512))),f333(f195(f881(x38511)),x38512)))
% 163.20/162.96 [3852]P24(f333(f333(f250(a880),f333(f195(f881(x38521)),f153(x38521,x38522))),f333(f195(f881(x38521)),x38522)))
% 163.20/162.96 [3862]E(f333(f255(x38621),f333(f333(f9(x38621,f890(x38621,a874),a874),f335(x38621)),x38622)),x38622)
% 163.20/162.96 [3876]E(f333(f333(f174(x38761),f333(f333(f3(a880),f333(f195(f881(x38761)),x38762)),f79(a880))),x38762),f119(x38761,x38762))
% 163.20/162.96 [3896]E(f191(a880,f2(a880),f333(f333(f10(a880,a880,a880),a117),f333(f248(a880),x38961)),x38962),f333(f333(f248(a880),f333(a117,x38961)),x38962))
% 163.20/162.96 [3900]E(f41(f890(x39001,a874),f333(f312(f890(f889(x39001,x39001),a874),f890(x39001,a874),f286(x39001)),x39002)),f333(f286(x39001),f41(f890(f889(x39001,x39001),a874),x39002)))
% 163.20/162.96 [3901]E(f191(a880,f333(a117,x39011),f333(f333(f10(a880,a880,a880),a117),f333(f249(a880),x39011)),x39012),f333(f333(f249(a880),f333(a117,x39011)),x39012))
% 163.20/162.96 [3903]E(f333(f333(f263(a1,a1),f333(f333(f40(a1),f333(f76(a1),x39031)),f333(f76(a1),x39032))),f46(a1,f333(f76(a1),x39031),f333(f76(a1),x39032))),f54(x39031,x39032))
% 163.20/162.96 [3925]P24(f333(f333(f250(f890(f890(x39251,a874),a874)),x39252),f333(f310(x39251),f41(f890(x39251,a874),x39252))))
% 163.20/162.96 [3960]E(f333(f333(f44(x39601,f890(x39601,a874)),x39602),f333(f333(f9(x39601,f890(x39601,a874),f890(x39601,a874)),f311(x39601)),f194(f890(x39601,a874)))),x39602)
% 163.20/162.96 [3961]E(f333(f333(f290(x39611,x39611,x39611),f333(f288(x39611,x39611),x39612)),f309(x39611,f333(f288(x39611,x39611),x39612))),f333(f288(x39611,x39611),f333(f333(f290(x39611,x39611,x39611),x39612),f309(x39611,x39612))))
% 163.20/162.96 [4027]E(f333(f173(x40271),f333(f143(f881(x40271),f881(x40271),f127(x40271),f118(x40271)),x40272)),f333(f333(f44(f881(x40271),f890(x40271,a874)),f333(f173(f881(x40271)),x40272)),f173(x40271)))
% 163.20/162.96 [4058]E(f333(f333(f115(f890(f889(x40581,x40581),a874)),f309(x40581,f194(f890(f889(x40581,x40581),a874)))),f333(f333(f290(x40581,x40581,x40581),f309(x40581,x40582)),x40582)),f309(x40581,x40582))
% 163.20/162.96 [4093]E(f333(f333(f182(x40931,x40931),x40932),x40932),f333(f333(f155(x40931,f889(x40931,x40931)),f333(f333(f20(x40931,x40931,f889(x40931,x40931)),f263(x40931,x40931)),f7(x40931))),x40932))
% 163.20/162.96 [4206]E(f333(f143(a880,f881(x42061),f333(f9(f881(x42061),a880,a880),f333(f333(f10(a880,f890(a880,a880),f881(x42061)),f249(a880)),f195(f881(x42061)))),f2(a880)),f333(f170(f881(x42061)),x42062)),f333(f195(f881(f881(x42061))),f180(x42061,x42062)))
% 163.20/162.96 [4286]E(f333(f333(f289(f889(a880,f881(x42861)),f881(x42861)),f326(a880,f881(x42861),a254,f146(x42861,x42862))),f333(f333(f20(f881(x42861),f881(x42861),f889(a880,f881(x42861))),f333(f333(f10(a880,f890(f881(x42861),f889(a880,f881(x42861))),f881(x42861)),f263(a880,f881(x42861))),f195(f881(x42861)))),f7(f881(x42861)))),f147(x42861,x42862))
% 163.20/162.96 [4427]E(f333(f255(x44271),f333(f333(f10(f890(f890(x44271,a874),a874),a874,x44271),f88(f890(x44271,a874))),f333(f333(f10(f890(f890(x44271,a874),a874),f890(f890(x44271,a874),a874),x44271),f333(f20(f890(x44271,a874),a874,a874),f333(f333(f10(a874,f890(a874,a874),f890(x44271,a874)),a336),f333(f333(f9(f890(x44271,a874),f890(f890(x44271,a874),a874),a874),f335(f890(x44271,a874))),x44272)))),f335(x44271)))),f42(f890(x44271,a874),x44272))
% 163.20/162.96 [4580]~P24(f333(f333(f251(a1),f333(f105(a1),x45801)),f333(f80(a1),f333(f105(a1),x45802))))
% 163.20/162.96 [3507]E(f333(f333(f3(a880),f333(f333(f81(a880),x35071),x35072)),x35072),x35071)
% 163.20/162.96 [3508]E(f333(f333(f3(a880),f333(f333(f81(a880),x35081),x35082)),x35081),x35082)
% 163.20/162.96 [3574]E(f333(f333(f81(a880),f333(f333(f3(a880),x35741),x35742)),x35742),f333(f333(f249(a880),x35741),x35742))
% 163.20/162.96 [3681]E(f333(f333(f82(a880),f333(f333(f40(a880),x36811),x36812)),x36812),f333(f333(f3(a880),x36811),f46(a880,x36811,x36812)))
% 163.20/162.96 [3710]E(f333(f173(a880),f140(a880,f333(f303(a880,f333(a117,x37101)),x37102))),f307(a880,x37101,x37102))
% 163.20/162.96 [3717]E(f333(f105(a1),f226(f333(a109,f333(f76(a1),x37171)),f333(a109,f333(f76(a1),x37172)))),f333(f333(a227,x37171),x37172))
% 163.20/162.96 [3719]E(f333(f333(f115(f890(x37191,a874)),f333(f80(f890(x37191,a874)),x37192)),x37192),f258(f890(x37191,a874)))
% 163.20/162.96 [3720]E(f333(f333(f106(f890(x37201,a874)),f333(f80(f890(x37201,a874)),x37202)),x37202),f194(f890(x37201,a874)))
% 163.20/162.96 [3732]P24(f333(f333(f250(a880),f333(f333(f3(a880),x37321),x37322)),x37321))
% 163.20/162.96 [3733]P24(f333(f333(f250(a880),f333(f333(f40(a880),x37331),x37332)),x37331))
% 163.20/162.96 [3755]P24(f333(f333(f251(a880),x37551),f333(a117,f333(f333(f81(a880),x37552),x37551))))
% 163.20/162.96 [3756]P24(f333(f333(f251(a880),x37561),f333(a117,f333(f333(f81(a880),x37561),x37562))))
% 163.20/162.96 [3778]E(f333(f333(f82(a880),f333(a109,f333(f76(a1),x37781))),f333(a109,f333(f76(a1),x37782))),f333(a109,f333(f76(a1),f333(f333(f82(a1),x37781),x37782))))
% 163.20/162.96 [3787]P24(f333(f333(f250(a1),f2(a1)),f333(f333(f264(a1),f333(f76(a1),x37871)),x37872)))
% 163.20/162.96 [3856]E(f333(f287(f881(x38561),f881(x38561),f159(x38561,x38562)),f333(f333(f311(f881(x38561)),f118(x38561)),f194(f890(f881(x38561),a874)))),f333(f333(f311(f881(x38561)),f118(x38561)),f194(f890(f881(x38561),a874))))
% 163.20/162.96 [3874]E(f333(f333(f115(f890(f889(x38741,x38741),a874)),f309(x38741,x38742)),f309(x38741,f194(f890(f889(x38741,x38741),a874)))),f309(x38741,x38742))
% 163.20/162.96 [3956]E(f333(f255(f890(x39561,a874)),f333(f333(f9(f890(x39561,a874),f890(x39561,a874),a874),f250(f890(x39561,a874))),x39562)),f333(f310(x39561),x39562))
% 163.20/162.96 [3972]E(f333(f333(f155(a1,a880),a109),f333(f333(f127(a1),f333(f333(f155(a880,a1),f105(a1)),x39721)),f333(f333(f155(a880,a1),f105(a1)),x39722))),f333(f333(f127(a880),x39721),x39722))
% 163.20/162.96 [4005]E(f333(f312(a1,a1,f333(f333(f9(a1,a1,a1),f81(a1)),x40051)),f333(f303(a1,f2(a1)),f333(f333(f3(a1),x40052),x40051))),f333(f303(a1,x40051),x40052))
% 163.20/162.96 [4007]P51(x40071,f333(f333(f3(f890(f889(x40071,x40071),a874)),x40072),f309(x40071,f194(f890(f889(x40071,x40071),a874)))))
% 163.20/162.96 [4025]E(f333(f195(f881(x40251)),f333(f143(f881(x40251),f881(x40251),f127(x40251),f118(x40251)),x40252)),f333(f167(a880),f333(f333(f155(f881(x40251),a880),f195(f881(x40251))),x40252)))
% 163.20/162.96 [4030]P50(x40301,f258(f890(x40301,a874)),f333(f333(f115(f890(f889(x40301,x40301),a874)),x40302),f309(x40301,f194(f890(f889(x40301,x40301),a874)))))
% 163.20/162.96 [4072]E(f191(a880,f2(a880),f333(f333(f10(a880,a880,a880),a117),f333(f333(f9(a880,a880,a880),f248(a880)),x40721)),x40722),f333(f333(f248(a880),x40722),f333(a117,x40721)))
% 163.20/162.96 [4075]E(f191(a880,f333(a117,x40751),f333(f333(f10(a880,a880,a880),a117),f333(f333(f9(a880,a880,a880),f249(a880)),x40751)),x40752),f333(f333(f249(a880),x40752),f333(a117,x40751)))
% 163.20/162.96 [4078]E(f333(f312(x40781,f881(x40781),f333(f333(f9(x40781,f881(x40781),f881(x40781)),f152(x40781)),f118(x40781))),x40782),f176(x40781,x40782,f333(f333(f311(f881(x40781)),f118(x40781)),f194(f890(f881(x40781),a874)))))
% 163.20/162.96 [4079]E(f333(f333(f115(f890(f889(x40791,x40791),a874)),f333(f333(f290(x40791,x40791,x40791),x40792),f309(x40791,x40792))),f309(x40791,f194(f890(f889(x40791,x40791),a874)))),f309(x40791,x40792))
% 163.20/162.96 [4088]P24(f333(f333(f250(f890(f889(x40881,x40881),a874)),f260(x40881,x40882)),f333(f333(f270(x40881,x40881),x40882),f333(f18(f890(x40881,a874),x40881),x40882))))
% 163.20/162.96 [4091]E(f333(f312(a1,a880,a109),f333(f333(f115(f890(a1,a874)),f333(f312(a880,a1,f105(a1)),x40911)),f333(f312(a880,a1,f105(a1)),x40912))),f333(f333(f115(f890(a880,a874)),x40911),x40912))
% 163.20/162.96 [4092]E(f333(f312(a1,a880,a109),f333(f333(f106(f890(a1,a874)),f333(f312(a880,a1,f105(a1)),x40921)),f333(f312(a880,a1,f105(a1)),x40922))),f333(f333(f106(f890(a880,a874)),x40921),x40922))
% 163.20/162.96 [4096]E(f333(f255(x40961),f333(f333(f10(a874,a874,x40961),a328),f333(f333(f9(x40961,f890(x40961,a874),a874),f335(x40961)),x40962))),f333(f80(f890(x40961,a874)),x40962))
% 163.20/162.96 [4122]E(f333(f143(f881(x41221),f881(x41221),f127(x41221),f118(x41221)),f333(f333(f155(f881(x41221),f881(x41221)),f170(x41221)),f333(f170(f881(x41221)),x41222))),f333(f170(x41221),f333(f143(f881(x41221),f881(x41221),f127(x41221),f118(x41221)),x41222)))
% 163.20/162.96 [4148]E(f333(f333(f44(a880,f890(f889(x41481,x41481),a874)),f258(f890(a880,a874))),f333(f333(f9(a880,f890(f889(x41481,x41481),a874),f890(f889(x41481,x41481),a874)),f189(f889(x41481,x41481),a874)),x41482)),f309(x41481,x41482))
% 163.20/162.96 [4165]E(f86(x41651,f333(f333(f10(f890(x41651,a874),a874,x41651),f333(a330,x41652)),f333(f333(f9(x41651,f890(x41651,a874),f890(x41651,a874)),f311(x41651)),f194(f890(x41651,a874))))),f314(x41651,x41652))
% 163.20/162.96 [4174]E(f333(f195(f881(x41741)),f153(x41741,f333(f143(f881(x41741),f881(x41741),f127(x41741),f118(x41741)),x41742))),f333(f39(x41741),f333(f333(f44(f881(x41741),f890(x41741,a874)),f333(f173(f881(x41741)),x41742)),f173(x41741))))
% 163.20/162.96 [4190]E(f333(f333(f115(f890(f889(x41901,x41901),a874)),x41902),f333(f333(f290(x41901,x41901,x41901),f333(f333(f290(x41901,x41901,x41901),x41902),f309(x41901,x41902))),x41902)),f333(f333(f290(x41901,x41901,x41901),x41902),f309(x41901,x41902)))
% 163.20/162.96 [4218]P24(f333(f333(f250(f890(f889(x42181,x42181),a874)),f333(f333(f290(x42181,x42181,x42181),x42182),f309(x42181,x42182))),f333(f333(f270(x42181,x42181),f333(f286(x42181),x42182)),f333(f18(f890(x42181,a874),x42181),f333(f286(x42181),x42182)))))
% 163.20/162.96 [4260]E(f333(f255(f881(x42601)),f333(f333(f9(f881(x42601),f890(x42601,a874),a874),f333(f333(f10(f890(x42601,a874),f890(f890(x42601,a874),a874),f881(x42601)),f250(f890(x42601,a874))),f173(x42601))),x42602)),f162(x42601,x42602))
% 163.20/162.96 [4274]E(f333(f157(f881(x42741),x42741,f118(x42741),f333(f333(f10(f881(x42741),f890(f881(x42741),f881(x42741)),x42741),f333(f9(f881(x42741),f881(x42741),f881(x42741)),f127(x42741))),f333(f333(f9(x42741,f881(x42741),f881(x42741)),f152(x42741)),f118(x42741)))),x42742),f333(f169(x42741),x42742))
% 163.20/162.96 [4313]P21(f890(x43131,x43132),f890(f889(x43131,x43132),a874),f333(f333(f10(f890(f889(x43131,x43132),a874),f890(f889(x43131,x43132),a874),f890(x43131,x43132)),f255(f889(x43131,x43132))),f333(f333(f10(f890(x43131,f890(x43132,a874)),f890(f889(x43131,x43132),a874),f890(x43131,x43132)),f272(x43131,x43132,a874)),f333(f10(x43132,f890(x43132,a874),x43131),f333(f9(x43132,x43132,a874),a330)))),f258(f890(f890(x43131,x43132),a874)))
% 163.20/162.96 [4368]E(f333(f333(f44(x43681,f890(f889(x43681,x43681),a874)),x43682),f333(f333(f9(x43681,f890(f889(x43681,x43681),a874),f890(f889(x43681,x43681),a874)),f333(f333(f10(f889(x43681,x43681),f890(f890(f889(x43681,x43681),a874),f890(f889(x43681,x43681),a874)),x43681),f311(f889(x43681,x43681))),f333(f333(f20(x43681,x43681,f889(x43681,x43681)),f263(x43681,x43681)),f7(x43681)))),f194(f890(f889(x43681,x43681),a874)))),f260(x43681,x43682))
% 163.20/162.96 [4376]E(f212(x43761,f333(f333(f263(a1,a1),f333(f80(a1),f333(f333(f74(f889(a1,a1),a1,x43761,f262(a1,a1)),f222(x43761)),x43762))),f333(f333(f74(f889(a1,a1),a1,x43761,f271(a1,a1)),f222(x43761)),x43762))),f236(x43761,x43762))
% 163.20/162.96 [4466]E(f333(f255(f890(x44661,a874)),f333(f333(f10(f890(f890(x44661,a874),a874),a874,f890(x44661,a874)),f87(f890(x44661,a874))),f333(f333(f9(f890(x44661,a874),f890(f890(x44661,a874),a874),f890(f890(x44661,a874),a874)),f333(f333(f10(f890(f890(x44661,a874),f890(a874,a874)),f890(f890(f890(x44661,a874),a874),f890(f890(x44661,a874),a874)),f890(x44661,a874)),f20(f890(x44661,a874),a874,a874)),f333(f333(f10(f890(f890(x44661,a874),a874),f890(f890(x44661,a874),f890(a874,a874)),f890(x44661,a874)),f333(f10(a874,f890(a874,a874),f890(x44661,a874)),a331)),f333(f333(f9(f890(x44661,a874),f890(f890(x44661,a874),f890(x44661,a874)),f890(f890(x44661,a874),a874)),f333(f333(f10(f890(f890(x44661,a874),a874),f890(f890(f890(x44661,a874),f890(x44661,a874)),f890(f890(x44661,a874),a874)),f890(x44661,a874)),f10(f890(x44661,a874),a874,f890(x44661,a874))),a330)),f80(f890(x44661,a874)))))),f333(f333(f10(f890(f890(x44661,a874),a874),a874,f890(x44661,a874)),f333(f335(f890(x44661,a874)),x44662)),f310(x44661))))),f333(f310(x44661),f333(f80(f890(x44661,a874)),x44662)))
% 163.20/162.96 [4582]~P24(f333(f333(f251(a880),f333(f333(f81(a880),x45821),x45822)),x45822))
% 163.20/162.96 [4583]~P24(f333(f333(f251(a880),f333(f333(f81(a880),x45831),x45832)),x45831))
% 163.20/162.96 [3792]E(f333(f333(f3(a880),x37921),f333(f333(f82(a880),f333(f333(f40(a880),x37921),x37922)),x37922)),f46(a880,x37921,x37922))
% 163.20/162.96 [3793]E(f333(f333(f3(a1),x37931),f333(f333(f82(a1),f333(f333(f40(a1),x37931),x37932)),x37932)),f46(a1,x37931,x37932))
% 163.20/162.96 [3828]E(f333(f333(f155(a880,x38281),f333(f166(x38281),x38282)),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(x38281)),x38282)))),x38282)
% 163.20/162.96 [3883]E(f333(f287(x38831,x38831,f309(x38831,f194(f890(f889(x38831,x38831),a874)))),x38832),x38832)
% 163.20/162.96 [4008]E(f309(x40081,f333(f333(f115(f890(f889(x40081,x40081),a874)),x40082),f309(x40081,f194(f890(f889(x40081,x40081),a874))))),f309(x40081,x40082))
% 163.20/162.96 [4009]E(f309(x40091,f333(f333(f3(f890(f889(x40091,x40091),a874)),x40092),f309(x40091,f194(f890(f889(x40091,x40091),a874))))),f309(x40091,x40092))
% 163.20/162.96 [4187]E(f333(f105(a1),f333(f333(f40(a880),f333(f333(f82(a880),f333(a109,f333(f76(a1),x41871))),f333(a109,f333(f76(a1),x41872)))),f226(f333(a109,f333(f76(a1),x41871)),f333(a109,f333(f76(a1),x41872))))),f228(x41871,x41872))
% 163.20/162.96 [4210]E(f333(f333(f3(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42101)),x42101)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42102)),x42102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),x42101),x42102))),f333(f333(f3(a1),x42101),x42102))),a102))
% 163.20/162.96 [4234]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42341)),x42341)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42342)),x42342)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),x42341),x42342))),f333(f333(f81(a1),x42341),x42342)))
% 163.20/162.96 [4238]E(f333(f333(f274(f889(a104,a104),a104,f889(a104,a104),f889(x42381,f889(a104,a104))),f278(f333(a5,f333(f195(f881(x42381)),x42382)))),f333(f333(f10(x42381,f890(f889(a104,a104),f889(x42381,f889(a104,a104))),a104),f263(x42381,f889(a104,a104))),f333(f333(f10(a880,x42381,a104),f333(f166(x42381),x42382)),a21))),f284(x42381,x42382))
% 163.20/162.96 [4267]E(f333(f333(f3(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42671)),x42671)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42672)),x42672)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),f333(f333(f81(a1),x42671),a102)),x42672))),f333(f333(f3(a1),f333(f333(f81(a1),x42671),a102)),x42672)))
% 163.20/162.96 [4318]E(f333(f143(a880,f881(x43181),f333(f9(f881(x43181),a880,a880),f333(f333(f10(a880,f890(a880,a880),f881(x43181)),f249(a880)),f195(f881(x43181)))),f2(a880)),f333(f170(f881(x43181)),f180(x43181,x43182))),f333(f195(f881(f881(x43181))),f333(f137(f881(x43181),f333(f333(f10(a874,a874,f881(x43181)),a328),f333(f333(f9(f881(x43181),f881(x43181),a874),a330),f118(x43181)))),x43182)))
% 163.20/162.96 [4324]E(f333(f333(f44(a880,f890(x43241,a874)),f258(f890(a880,a874))),f333(f333(f9(a880,f890(a880,f890(x43241,a874)),f890(x43241,a874)),f333(f333(f10(f890(a880,a874),f890(f890(a880,f890(x43241,a874)),f890(x43241,a874)),a880),f44(a880,f890(x43241,a874))),f303(a880,f2(a880)))),x43242)),f333(f333(f44(a880,f890(x43241,a874)),f258(f890(a880,a874))),x43242))
% 163.20/162.96 [4345]P24(f333(f63(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),x43451)),f333(f333(f9(a880,a880,a874),f251(a880)),x43452)))))
% 163.20/162.96 [4476]E(f333(f255(f889(f881(x44761),f881(x44761))),f333(f272(f881(x44761),f881(x44761),a874),f333(f333(f20(f881(x44761),f890(f881(x44761),a874),f890(f881(x44761),a874)),f333(f333(f10(f890(f881(x44761),f890(a874,a874)),f890(f890(f881(x44761),a874),f890(f881(x44761),a874)),f881(x44761)),f20(f881(x44761),a874,a874)),f333(f333(f10(f890(f881(x44761),a874),f890(f881(x44761),f890(a874,a874)),f881(x44761)),f333(f10(a874,f890(a874,a874),f881(x44761)),a332)),f333(f333(f9(f881(x44761),f890(f881(x44761),a880),f890(f881(x44761),a874)),f333(f333(f10(f890(a880,a874),f890(f890(f881(x44761),a880),f890(f881(x44761),a874)),f881(x44761)),f10(a880,a874,f881(x44761))),f333(f333(f10(a880,f890(a880,a874),f881(x44761)),f251(a880)),f195(f881(x44761))))),f195(f881(x44761)))))),f333(f333(f20(f881(x44761),f890(f881(x44761),a874),f890(f881(x44761),a874)),f333(f333(f10(f890(f881(x44761),f890(a874,a874)),f890(f890(f881(x44761),a874),f890(f881(x44761),a874)),f881(x44761)),f20(f881(x44761),a874,a874)),f333(f333(f10(f890(f881(x44761),a874),f890(f881(x44761),f890(a874,a874)),f881(x44761)),f333(f10(a874,f890(a874,a874),f881(x44761)),a331)),f333(f333(f9(f881(x44761),f890(f881(x44761),a880),f890(f881(x44761),a874)),f333(f333(f10(f890(a880,a874),f890(f890(f881(x44761),a880),f890(f881(x44761),a874)),f881(x44761)),f10(a880,a874,f881(x44761))),f333(f333(f10(a880,f890(a880,a874),f881(x44761)),a330),f195(f881(x44761))))),f195(f881(x44761)))))),f333(f333(f9(f881(x44761),f890(f889(f881(x44761),f881(x44761)),a874),f890(f881(x44761),a874)),f333(f333(f10(f890(f881(x44761),f890(f890(f889(f881(x44761),f881(x44761)),a874),a874)),f890(f890(f889(f881(x44761),f881(x44761)),a874),f890(f881(x44761),a874)),f881(x44761)),f9(f881(x44761),f890(f889(f881(x44761),f881(x44761)),a874),a874)),f333(f333(f10(f890(f881(x44761),f889(f881(x44761),f881(x44761))),f890(f881(x44761),f890(f890(f889(f881(x44761),f881(x44761)),a874),a874)),f881(x44761)),f333(f10(f889(f881(x44761),f881(x44761)),f890(f890(f889(f881(x44761),f881(x44761)),a874),a874),f881(x44761)),f335(f889(f881(x44761),f881(x44761))))),f263(f881(x44761),f881(x44761))))),f146(x44761,x44762)))))),f147(x44761,x44762))
% 163.20/162.96 [4602]~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x46021)),x46021)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x46022)),x46022)))
% 163.20/162.96 [4236]E(f333(a109,f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x42361),x42362)),f194(f890(f889(a880,a880),a874)))))),f333(f333(f3(a880),x42361),x42362))
% 163.20/162.96 [4241]E(f333(f333(f290(x42411,x42411,x42411),f333(f333(f115(f890(f889(x42411,x42411),a874)),x42412),f309(x42411,f194(f890(f889(x42411,x42411),a874))))),f309(x42411,f333(f333(f115(f890(f889(x42411,x42411),a874)),x42412),f309(x42411,f194(f890(f889(x42411,x42411),a874)))))),f309(x42411,x42412))
% 163.20/162.96 [4278]E(f277(x42781,f333(f137(f889(a104,x42781),f333(f272(a104,x42781,a874),f333(f333(f10(a874,f890(x42781,a874),a104),f18(a874,x42781)),f333(f251(a104),f2(a104))))),x42782)),f277(x42781,x42782))
% 163.20/162.96 [4279]E(f279(x42791,f333(f137(f889(a104,x42791),f333(f272(a104,x42791,a874),f333(f333(f10(a874,f890(x42791,a874),a104),f18(a874,x42791)),f333(f251(a104),f2(a104))))),x42792)),f279(x42791,x42792))
% 163.20/162.96 [4280]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),x42801),f333(f333(f3(a1),x42802),a102)))),f333(f333(f81(a1),x42801),f333(f333(f3(a1),x42802),a102)))),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42801)),x42801)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42802)),x42802)))
% 163.20/162.96 [4282]E(f333(f80(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x42821),x42822)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x42822),x42821)),f194(f890(f889(a880,a880),a874))))))
% 163.20/162.96 [4338]E(f333(f333(f289(f881(a880),x43381),f146(a880,a254)),f333(f333(f9(x43381,f881(f890(x43381,a880)),f881(a880)),f333(f333(f10(f890(f890(x43381,a880),a880),f890(f881(f890(x43381,a880)),f881(a880)),x43381),f155(f890(x43381,a880),a880)),f333(f9(f890(x43381,a880),x43381,a880),f7(f890(x43381,a880))))),x43382)),f154(x43381,x43382))
% 163.20/162.96 [4365]E(f333(f333(f89(a1,a880),f333(f108(a1),f333(f333(f81(a1),x43651),a102))),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f2(a880))),f333(f333(f10(a880,a880,a1),a117),f333(f333(f10(a880,a880,a1),f333(f248(a880),x43652)),a109)))),f333(f333(f248(a880),f333(a117,x43652)),f333(f108(a880),x43651)))
% 163.20/162.96 [4366]E(f333(f333(f89(a1,a880),f333(f108(a1),f333(f333(f81(a1),x43661),a102))),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f333(a117,x43662))),f333(f333(f10(a880,a880,a1),a117),f333(f333(f10(a880,a880,a1),f333(f249(a880),x43662)),a109)))),f333(f333(f249(a880),f333(a117,x43662)),f333(f108(a880),x43661)))
% 163.20/162.96 [4386]E(f333(f143(f881(x43861),f881(x43861),f127(x43861),f118(x43861)),f333(f333(f155(f881(x43861),f881(x43861)),f157(f881(x43861),x43861,f118(x43861),f333(f333(f10(f881(x43861),f890(f881(x43861),f881(x43861)),x43861),f18(f881(x43861),f881(x43861))),f333(f333(f9(x43861,f881(x43861),f881(x43861)),f152(x43861)),f118(x43861))))),x43862)),f333(f333(f155(f881(x43861),x43861),f142(x43861)),f333(f137(f881(x43861),f333(f333(f10(a874,a874,f881(x43861)),a328),f333(f333(f9(f881(x43861),f881(x43861),a874),a330),f118(x43861)))),x43862)))
% 163.20/162.96 [4458]E(f333(f272(a1,a1,a874),f333(f333(f9(a1,f890(a1,a874),f890(a1,a874)),f333(f333(f10(f890(a1,f890(a874,a874)),f890(f890(a1,a874),f890(a1,a874)),a1),f20(a1,a874,a874)),f333(f333(f10(f890(a1,a874),f890(a1,f890(a874,a874)),a1),f333(f10(a874,f890(a874,a874),a1),a331)),f333(f333(f10(f890(a1,a1),f890(a1,a874),a1),f333(f10(a1,a874,a1),f333(a330,x44581))),f333(f333(f10(a1,f890(a1,a1),a1),f81(a1)),f333(f82(a1),x44582)))))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),f333(a336,f333(f333(f251(a1),f2(a1)),x44582))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),f333(f333(f9(a1,a1,a874),f251(a1)),x44582))))),f333(f333(f10(a874,a874,a1),f333(a336,f333(a328,f333(f333(f251(a1),f2(a1)),x44582)))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f251(a1),x44582))),f333(f333(f9(a1,a1,a874),f250(a1)),f2(a1))))))),f50(x44581,x44582))
% 163.20/162.96 [4460]E(f333(f255(x44601),f333(f333(f10(f890(a880,a874),a874,x44601),f87(a880)),f333(f333(f9(x44601,f890(a880,a874),f890(a880,a874)),f333(f333(f10(f890(a880,f890(a874,a874)),f890(f890(a880,a874),f890(a880,a874)),x44601),f20(a880,a874,a874)),f333(f333(f10(f890(a880,a874),f890(a880,f890(a874,a874)),x44601),f333(f10(a874,f890(a874,a874),a880),a331)),f333(f333(f9(x44601,f890(a880,x44601),f890(a880,a874)),f333(f333(f10(f890(x44601,a874),f890(f890(a880,x44601),f890(a880,a874)),x44601),f10(x44601,a874,a880)),a330)),f333(f166(x44601),x44602))))),f333(f333(f9(a880,a880,a874),f251(a880)),f333(f195(f881(x44601)),x44602))))),f333(f173(x44601),x44602))
% 163.20/162.96 [4591]~E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45911)),x45911)),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x45912)),x45912))
% 163.20/162.96 [4199]E(f333(f333(f3(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41991)),x41991)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x41992)),x41992)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),x41991),x41992))),f333(f333(f3(a1),x41991),x41992)))
% 163.20/162.96 [4200]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42001)),x42001)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42002)),x42002)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),x42001),x42002))),f333(f333(f81(a1),x42001),x42002)))
% 163.20/162.96 [4291]E(f333(f333(f3(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42911)),x42911)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42912)),x42912)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f3(a1),x42911),x42912))),f333(f333(f3(a1),x42911),x42912))),a102))
% 163.20/162.96 [4292]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42921)),x42921)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42922)),x42922)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),x42921),x42922))),f333(f333(f81(a1),x42921),x42922))),a102))
% 163.20/162.96 [4325]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),x43251),x43252))),f333(f333(f82(a1),x43251),x43252))),a102)),x43252),f333(f333(f82(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x43251)),x43251)),x43252))
% 163.20/162.96 [4381]E(f333(f143(f881(f881(x43811)),f881(f881(x43811)),f127(f881(x43811)),f118(f881(x43811))),f333(f333(f155(f881(x43811),f881(f881(x43811))),f157(f881(f881(x43811)),x43811,f118(f881(x43811)),f333(f18(f890(f881(x43811),f881(f881(x43811))),x43811),f333(f333(f9(f881(x43811),f881(f881(x43811)),f881(f881(x43811))),f152(f881(x43811))),f118(f881(x43811)))))),x43812)),f333(f333(f155(f881(x43811),f881(x43811)),f172(x43811)),f333(f137(f881(x43811),f333(f333(f10(a874,a874,f881(x43811)),a328),f333(f333(f9(f881(x43811),f881(x43811),a874),a330),f118(x43811)))),x43812)))
% 163.20/162.96 [4390]E(f333(f333(f89(a1,a880),f333(f108(a1),f333(f333(f81(a1),x43901),a102))),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f2(a880))),f333(f333(f10(a880,a880,a1),a117),f333(f333(f9(a1,a880,a880),f333(f333(f10(a880,f890(a880,a880),a1),f248(a880)),a109)),x43902)))),f333(f333(f248(a880),f333(f108(a880),x43901)),f333(a117,x43902)))
% 163.20/162.96 [4391]E(f333(f333(f89(a1,a880),f333(f108(a1),f333(f333(f81(a1),x43911),a102))),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f333(a117,x43912))),f333(f333(f10(a880,a880,a1),a117),f333(f333(f9(a1,a880,a880),f333(f333(f10(a880,f890(a880,a880),a1),f249(a880)),a109)),x43912)))),f333(f333(f249(a880),f333(f108(a880),x43911)),f333(a117,x43912)))
% 163.20/162.96 [4600]~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x46001)),x46001)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x46002)),x46002)),a102)))
% 163.20/162.96 [4229]E(f333(f333(f264(a1),x42291),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42292)),x42292)),a102))),f333(f333(f89(a1,a1),f333(f333(f264(a1),x42291),f333(f108(a880),x42292))),f333(f333(f20(a1,a1,a1),f82(a1)),f7(a1))))
% 163.20/162.96 [4265]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),x42651),x42652))),f333(f333(f82(a1),x42651),x42652))),a102),f333(f333(f82(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x42651)),x42651)),a102)),x42652))
% 163.20/162.96 [4327]E(f333(f333(f40(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x43271)),x43271)),a102))),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x43272)),x43272)),a102))),f333(f333(f40(a1),f333(f108(a1),x43271)),f333(f108(a1),x43272)))
% 163.20/162.96 [4380]E(f333(f272(x43801,x43801,a874),f333(f333(f20(x43801,a874,f890(x43801,a874)),f333(f333(f10(f890(x43801,f890(a874,a874)),f890(a874,f890(x43801,a874)),x43801),f9(x43801,a874,a874)),f333(f333(f10(f890(x43801,a874),f890(x43801,f890(a874,a874)),x43801),f333(f10(a874,f890(a874,a874),x43801),a331)),a330))),x43802)),f260(x43801,x43802))
% 163.20/162.96 [4441]E(f46(a1,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x44411)),x44411)),a102)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x44412)),x44412)),a102))),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a1,f333(f108(a1),x44411),f333(f108(a1),x44412))))
% 163.20/162.96 [4408]E(f333(f333(f40(a880),x44081),f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x44082)),f333(f333(f40(a880),x44081),f333(a117,f333(a117,f333(a117,x44082)))))
% 163.20/162.96 [4409]E(f46(a880,x44091,f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x44092)),f46(a880,x44091,f333(a117,f333(a117,f333(a117,x44092)))))
% 163.20/162.96 [4410]E(f46(a880,f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x44101),x44102),f46(a880,f333(a117,f333(a117,f333(a117,x44101))),x44102))
% 163.20/162.96 [4434]E(f126(f333(x44341,f333(f333(f82(a104),f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x44342))),f333(f210(x44341),x44342))
% 163.20/162.96 [4439]E(f333(f333(f40(a880),f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),x44391)),x44392),f333(f333(f40(a880),f333(a117,f333(a117,f333(a117,x44391)))),x44392))
% 163.20/162.96 [4501]~E(f34(x45011,x45012),f333(a26,x45013))
% 163.20/162.96 [4502]~E(f33(x45021,x45022),f333(a26,x45023))
% 163.20/162.96 [4503]~E(f333(a26,x45031),f34(x45032,x45033))
% 163.20/162.96 [4504]~E(f333(a26,x45041),f33(x45042,x45043))
% 163.20/162.96 [4517]~E(f29(x45171,x45172,x45173),a24)
% 163.20/162.96 [4518]~E(f31(x45181,x45182,x45183),a24)
% 163.20/162.96 [4519]~E(f30(x45191,x45192,x45193),a24)
% 163.20/162.96 [3225]E(f333(f199(x32251,x32252),x32253),f124(x32251,x32252))
% 163.20/162.96 [3246]E(f333(f209(x32461,x32462),x32463),f333(f128(x32461),x32462))
% 163.20/162.96 [3324]E(f333(f333(f155(x33241,x33242),x33243),f118(x33241)),f118(x33242))
% 163.20/162.96 [3325]E(f333(f333(f208(x33251,x33252),x33253),f197(x33251)),f197(x33252))
% 163.20/162.96 [3345]E(f32(f29(x33451,x33452,x33453)),f2(a880))
% 163.20/162.96 [3366]E(f333(f190(x33661,x33662,x33663),f2(a880)),x33662)
% 163.20/162.96 [3367]E(f333(f195(a875),f29(x33671,x33672,x33673)),f2(a880))
% 163.20/162.96 [3369]E(f333(f333(f182(x33691,x33692),x33693),f118(x33692)),f118(f889(x33691,x33692)))
% 163.20/162.96 [3403]E(f86(x34031,f64(x34031,x34032,x34033)),f333(f65(x34031,x34032),x34033))
% 163.20/162.96 [3454]E(f141(x34541,x34542,f153(x34541,x34543)),f153(x34541,f141(x34541,x34542,x34543)))
% 163.20/162.96 [3472]E(f333(f262(f881(x34721),f881(x34721)),f168(x34721,x34722,x34723)),f333(f137(x34721,x34722),x34723))
% 163.20/162.96 [3547]E(f19(x35471,x35472,x35473,f2(a104)),x35472)
% 163.20/162.96 [3548]E(f191(x35481,x35482,x35483,f2(a880)),x35482)
% 163.20/162.96 [3555]E(f164(x35551,x35552,x35553,f118(x35551)),f118(x35552))
% 163.20/162.96 [3556]E(f165(x35561,x35562,x35563,f118(x35561)),f118(x35562))
% 163.20/162.96 [3564]E(f333(f333(f166(x35641),f333(f333(f152(x35641),x35642),x35643)),f2(a880)),x35642)
% 163.20/162.96 [3592]E(f61(x35921,x35922,f118(x35921),x35923),f118(f889(x35921,x35922)))
% 163.20/162.96 [3614]P21(x36141,x36142,x36143,f194(f890(x36141,a874)))
% 163.20/162.96 [3769]E(f333(f74(x37691,x37692,x37691,x37693),f35(x37691)),x37693)
% 163.20/162.96 [3942]P24(f333(f333(f335(f889(x39421,x39421)),f333(f333(f263(x39421,x39421),x39422),x39422)),f309(x39421,x39423)))
% 163.20/162.96 [4593]~P24(f333(f333(f335(f889(f881(x45931),f881(x45931))),f333(f333(f263(f881(x45931),f881(x45931)),x45932),f118(x45931))),f146(x45931,x45933)))
% 163.20/162.96 [4594]~P24(f333(f333(f335(f889(f881(x45941),f881(x45941))),f333(f333(f263(f881(x45941),f881(x45941)),x45942),f118(x45941))),f148(x45941,x45943)))
% 163.20/162.96 [4595]~P24(f333(f333(f335(f889(f881(x45951),f881(x45951))),f333(f333(f263(f881(x45951),f881(x45951)),x45952),f118(x45951))),f158(x45951,x45953)))
% 163.20/162.96 [4596]~P24(f333(f333(f335(f889(f881(x45961),f881(x45961))),f333(f333(f263(f881(x45961),f881(x45961)),f118(x45961)),x45962)),f146(x45961,x45963)))
% 163.20/162.96 [4597]~P24(f333(f333(f335(f889(f881(x45971),f881(x45971))),f333(f333(f263(f881(x45971),f881(x45971)),f118(x45971)),x45972)),f158(x45971,x45973)))
% 163.20/162.96 [3297]E(f333(f333(f211(x32971),x32972),x32973),f212(x32971,f225(x32972,x32973)))
% 163.20/162.96 [3355]E(f333(f288(x33551,x33552),f333(f288(x33552,x33551),x33553)),x33553)
% 163.20/162.96 [3379]E(f333(f333(f182(x33791,x33792),f118(x33791)),x33793),f118(f889(x33791,x33792)))
% 163.20/162.96 [3382]E(f175(x33821,x33822,f333(f256(a880),x33823)),f333(f333(f174(x33821),x33823),x33822))
% 163.20/162.96 [3399]E(f153(x33991,f333(f137(x33991,x33992),x33993)),f333(f137(x33991,x33992),f153(x33991,x33993)))
% 163.20/162.96 [3401]E(f333(f259(x34011,x34012),f333(f288(x34012,x34011),x34013)),f333(f261(x34012,x34011),x34013))
% 163.20/162.96 [3402]E(f333(f261(x34021,x34022),f333(f288(x34022,x34021),x34023)),f333(f259(x34022,x34021),x34023))
% 163.20/162.96 [3418]E(f333(f137(x34181,x34182),f333(f170(x34181),x34183)),f333(f170(x34181),f333(f137(x34181,x34182),x34183)))
% 163.20/162.96 [3431]E(f333(f333(f139(x34311),x34312),f333(f172(x34311),x34313)),f333(f333(f139(x34311),f333(a117,x34312)),x34313))
% 163.20/162.96 [3449]E(f32(f30(x34491,x34492,x34493)),f333(f333(f81(a880),f32(x34493)),f333(a117,f2(a880))))
% 163.20/162.96 [3450]E(f333(f313(x34501,x34502,x34503),f194(f890(x34502,a874))),f194(f890(x34501,a874)))
% 163.20/162.96 [3451]E(f333(f313(x34511,x34512,x34513),f258(f890(x34512,a874))),f258(f890(x34511,a874)))
% 163.20/162.96 [3452]E(f333(f312(x34521,x34522,x34523),f194(f890(x34521,a874))),f194(f890(x34522,a874)))
% 163.20/162.96 [3453]E(f333(f287(x34531,x34532,x34533),f194(f890(x34531,a874))),f194(f890(x34532,a874)))
% 163.20/162.96 [3480]E(f333(f333(f311(x34801),x34802),f333(f173(x34801),x34803)),f333(f173(x34801),f141(x34801,x34802,x34803)))
% 163.20/162.96 [3492]E(f243(x34921,x34922,f333(f242(x34921),x34923)),f333(f333(f81(a880),f333(x34922,x34923)),f333(a117,f2(a880))))
% 163.20/162.96 [3568]E(f333(f195(a875),f30(x35681,x35682,x35683)),f333(f333(f81(a880),f333(f195(a875),x35683)),f333(a117,f2(a880))))
% 163.20/162.96 [3569]E(f333(f312(f889(x35691,x35692),x35692,f271(x35691,x35692)),x35693),f333(f259(x35691,x35692),x35693))
% 163.20/162.96 [3570]E(f333(f312(f889(x35701,x35702),x35701,f262(x35701,x35702)),x35703),f333(f261(x35701,x35702),x35703))
% 163.20/162.96 [3640]E(f333(f333(f263(x36401,x36402),f333(f262(x36401,x36402),x36403)),f333(f271(x36401,x36402),x36403)),x36403)
% 163.20/162.96 [3647]E(f333(f195(f882(x36471)),f129(x36471,x36472,x36473)),f333(f333(f81(a880),f333(f195(f882(x36471)),x36473)),f333(a117,f2(a880))))
% 163.20/162.96 [3650]E(f333(f333(f272(x36501,x36502,x36501),f18(x36501,x36502)),x36503),f333(f262(x36501,x36502),x36503))
% 163.20/162.96 [3670]E(f185(x36701,x36702,x36703,f333(f18(f884(x36702),x36701),f197(x36702))),x36703)
% 163.20/162.96 [3671]E(f185(x36711,x36712,f333(f18(f884(x36712),x36711),f197(x36712)),x36713),x36713)
% 163.20/162.96 [3721]E(f32(f31(x37211,x37212,x37213)),f333(f333(f81(a880),f333(f333(f81(a880),f32(x37212)),f32(x37213))),f333(a117,f2(a880))))
% 163.20/162.96 [3773]E(f333(f74(x37731,x37731,x37732,f35(x37731)),x37733),x37733)
% 163.20/162.96 [3877]E(f333(f195(a875),f31(x38771,x38772,x38773)),f333(f333(f81(a880),f333(f333(f81(a880),f333(f195(a875),x38772)),f333(f195(a875),x38773))),f333(a117,f2(a880))))
% 163.20/162.96 [3951]P24(f333(f333(f250(f890(x39511,a874)),f333(f173(x39511),f333(f137(x39511,x39512),x39513))),f333(f173(x39511),x39513)))
% 163.20/162.96 [3996]P24(f333(f333(f250(f890(x39961,a874)),f333(f173(x39961),f333(f333(f174(x39961),x39962),x39963))),f333(f173(x39961),x39963)))
% 163.20/162.96 [3997]P24(f333(f333(f250(f890(x39971,a874)),f333(f173(x39971),f333(f333(f139(x39971),x39972),x39973))),f333(f173(x39971),x39973)))
% 163.20/162.96 [4001]P24(f333(f333(f250(f890(x40011,a874)),f333(f173(x40011),f171(x40011,x40012,x40013))),f333(f173(x40011),x40013)))
% 163.20/162.96 [4002]P24(f333(f333(f250(f890(x40021,a874)),f333(f173(x40021),f175(x40021,x40022,x40023))),f333(f173(x40021),x40022)))
% 163.20/162.96 [4023]P21(f889(x40231,x40232),f889(x40232,x40231),f333(f272(x40231,x40232,f889(x40232,x40231)),f333(f9(x40232,x40231,f889(x40232,x40231)),f263(x40232,x40231))),x40233)
% 163.20/162.96 [4034]E(f333(f333(f333(f189(f881(x40341),f881(x40341)),f46(a880,x40342,f333(f195(f881(x40341)),x40343))),f169(x40341)),x40343),f333(f333(f333(f189(f881(x40341),f881(x40341)),x40342),f169(x40341)),x40343))
% 163.20/162.96 [4076]P24(f333(f333(f335(f889(f881(x40761),f881(x40761))),f333(f333(f263(f881(x40761),f881(x40761)),x40762),x40762)),f159(x40761,f309(x40761,x40763))))
% 163.20/162.96 [4222]E(f86(f889(x42221,x42222),f333(f333(f20(f889(x42221,x42222),x42222,a874),f333(f333(f10(x42221,f890(x42222,a874),f889(x42221,x42222)),x42223),f262(x42221,x42222))),f271(x42221,x42222))),f86(f889(x42221,x42222),f333(f272(x42221,x42222,a874),x42223)))
% 163.20/162.96 [4223]E(f91(f889(x42231,x42232),f333(f333(f20(f889(x42231,x42232),x42232,a874),f333(f333(f10(x42231,f890(x42232,a874),f889(x42231,x42232)),x42233),f262(x42231,x42232))),f271(x42231,x42232))),f91(f889(x42231,x42232),f333(f272(x42231,x42232,a874),x42233)))
% 163.20/162.96 [4257]E(f333(f333(f289(f889(a880,x42571),x42571),f326(a880,x42571,a254,x42572)),f333(f333(f20(x42571,x42571,f889(a880,x42571)),f333(f333(f10(a880,f890(x42571,f889(a880,x42571)),x42571),f263(a880,x42571)),x42573)),f7(x42571))),f327(x42571,x42573,x42572))
% 163.20/162.96 [4320]E(f333(f273(x43201,x43201,x43202,x43202,f7(x43201),f7(x43202)),x43203),x43203)
% 163.20/162.96 [4401]E(f333(f143(f881(f881(x44011)),f881(f881(x44011)),f127(f881(x44011)),f118(f881(x44011))),f333(f333(f155(f881(x44011),f881(f881(x44011))),f333(f333(f9(f881(x44011),f881(x44011),f881(f881(x44011))),f333(f333(f10(f890(x44011,f881(x44011)),f890(f881(x44011),f881(f881(x44011))),f881(x44011)),f155(x44011,f881(x44011))),f333(f9(x44011,f881(x44011),f881(x44011)),f152(x44011)))),x44012)),f56(x44011,x44013,x44012))),f56(x44011,f333(a117,x44013),x44012))
% 163.20/162.96 [4473]E(f333(f244(a880,f889(x44731,f882(x44731)),f2(a880),f333(f272(x44731,f882(x44731),a880),f333(f333(f9(x44731,a880,f890(f882(x44731),a880)),f333(f333(f10(f890(f882(x44731),f890(a880,a880)),f890(a880,f890(f882(x44731),a880)),x44731),f9(f882(x44731),a880,a880)),f333(f333(f10(f890(f882(x44731),a880),f890(f882(x44731),f890(a880,a880)),x44731),f333(f10(a880,f890(a880,a880),f882(x44731)),f81(a880))),f333(f333(f9(x44731,f890(f882(x44731),a880),f890(f882(x44731),a880)),f333(f333(f10(f890(a880,a880),f890(f890(f882(x44731),a880),f890(f882(x44731),a880)),x44731),f10(a880,a880,f882(x44731))),f333(f333(f10(a880,f890(a880,a880),x44731),f81(a880)),x44732))),f131(x44731,x44732))))),f79(a880)))),f333(f134(x44731),x44733)),f333(f131(x44731,x44732),x44733))
% 163.20/162.96 [4475]E(f333(f333(f89(a1,x44751),f228(f333(f333(f74(f889(a1,a1),a1,x44751,f271(a1,a1)),f222(x44751)),x44752),f333(f333(f74(f889(a1,a1),a1,x44751,f271(a1,a1)),f222(x44751)),x44753))),f333(f333(f20(a1,a1,x44751),f333(f333(f10(a1,f890(a1,x44751),a1),f211(x44751)),f333(f333(f20(a1,a1,a1),f333(f333(f10(a1,f890(a1,a1),a1),f81(a1)),f333(f333(f10(a1,a1,a1),f333(f82(a1),f333(f333(f74(f889(a1,a1),a1,x44751,f262(a1,a1)),f222(x44751)),x44752))),f333(f333(f9(a1,a1,a1),f40(a1)),f333(f333(f74(f889(a1,a1),a1,x44751,f271(a1,a1)),f222(x44751)),x44752))))),f333(f333(f10(a1,a1,a1),f333(f82(a1),f333(f333(f74(f889(a1,a1),a1,x44751,f262(a1,a1)),f222(x44751)),x44753))),f333(f333(f9(a1,a1,a1),f40(a1)),f333(f333(f74(f889(a1,a1),a1,x44751,f271(a1,a1)),f222(x44751)),x44753)))))),f7(a1))),f239(x44751,x44752,x44753))
% 163.20/162.96 [4512]~E(f333(f333(f152(x45121),x45122),x45123),x45123)
% 163.20/162.96 [4521]~E(f333(f333(f152(x45211),x45212),x45213),f118(x45211))
% 163.20/162.96 [4543]~E(f333(f333(f311(x45431),x45432),x45433),f194(f890(x45431,a874)))
% 163.20/162.96 [4570]~E(f333(f312(x45701,f890(x45701,a874),x45702),x45703),f333(f310(x45701),x45703))
% 163.20/162.96 [3360]E(f333(f333(f160(x33601,f118(x33601)),x33602),x33603),f118(x33601))
% 163.20/162.96 [3361]E(f333(f142(x33611),f333(f333(f152(x33611),x33612),x33613)),x33612)
% 163.20/162.96 [3362]E(f333(f172(x33621),f333(f333(f152(x33621),x33622),x33623)),x33623)
% 163.20/162.96 [3406]E(f333(f333(f139(x34061),f79(a880)),f333(f333(f152(x34061),x34062),x34063)),x34063)
% 163.20/162.96 [3438]E(f119(x34381,f333(f333(f139(x34381),x34382),x34383)),f333(f333(f139(x34381),x34382),f119(x34381,x34383)))
% 163.20/162.96 [3440]E(f333(f333(f160(x34401,x34402),x34403),f333(f333(f166(x34401),x34402),x34403)),x34402)
% 163.20/162.96 [3463]E(f333(f333(f311(x34631),x34632),f333(f333(f311(x34631),x34632),x34633)),f333(f333(f311(x34631),x34632),x34633))
% 163.20/162.96 [3474]E(f333(f333(f178(x34741,x34742),f118(f889(x34741,x34742))),x34743),f197(x34742))
% 163.20/162.96 [3477]E(f333(f333(f311(x34771),x34772),f333(f173(x34771),x34773)),f333(f173(x34771),f333(f333(f152(x34771),x34772),x34773)))
% 163.20/162.96 [3479]E(f333(f333(f139(x34791),x34792),f333(f172(x34791),x34793)),f333(f172(x34791),f333(f333(f139(x34791),x34792),x34793)))
% 163.20/162.96 [3489]E(f333(f333(f174(x34891),f79(a880)),f333(f333(f152(x34891),x34892),x34893)),f333(f333(f152(x34891),x34892),f118(x34891)))
% 163.20/162.96 [3534]E(f333(f65(x35341,x35342),f333(f333(f311(x35341),x35343),f194(f890(x35341,a874)))),x35343)
% 163.20/162.96 [3576]E(f333(f333(f81(a880),x35761),f333(f333(f81(a880),x35762),x35763)),f333(f333(f81(a880),x35762),f333(f333(f81(a880),x35761),x35763)))
% 163.20/162.96 [3577]E(f333(f333(f81(a1),x35771),f333(f333(f81(a1),x35772),x35773)),f333(f333(f81(a1),x35772),f333(f333(f81(a1),x35771),x35773)))
% 163.20/162.96 [3582]E(f333(f333(f270(x35821,x35822),f194(f890(x35821,a874))),x35823),f194(f890(f889(x35821,x35822),a874)))
% 163.20/162.96 [3606]E(f333(f333(f115(f890(x36061,a874)),x36062),x36063),f333(f333(f115(f890(x36061,a874)),x36063),x36062))
% 163.20/162.96 [3607]E(f333(f333(f106(f890(x36071,a874)),x36072),x36073),f333(f333(f106(f890(x36071,a874)),x36073),x36072))
% 163.20/162.96 [3609]E(f333(f333(f127(x36091),x36092),f333(f333(f152(x36091),x36093),f118(x36091))),f333(f169(x36091),f333(f333(f152(x36091),x36093),x36092)))
% 163.20/162.96 [3610]E(f333(f333(f127(x36101),f333(f170(x36101),x36102)),f333(f170(x36101),x36103)),f333(f170(x36101),f333(f333(f127(x36101),x36103),x36102)))
% 163.20/162.96 [3618]E(f333(f172(x36181),f333(f333(f174(x36181),f333(a117,x36182)),x36183)),f333(f333(f174(x36181),x36182),f333(f172(x36181),x36183)))
% 163.20/162.96 [3625]P24(f333(f333(f335(x36251),x36252),f333(f333(f311(x36251),x36252),x36253)))
% 163.20/162.96 [3629]E(f333(f333(f43(x36291,f890(x36292,a874)),f194(f890(x36291,a874))),x36293),f258(f890(x36292,a874)))
% 163.20/162.96 [3632]E(f333(f287(x36321,x36321,f260(x36321,x36322)),x36323),f333(f333(f106(f890(x36321,a874)),x36322),x36323))
% 163.20/162.96 [3646]E(f333(f195(f881(x36461)),f333(f333(f152(x36461),x36462),x36463)),f333(f333(f81(a880),f333(f195(f881(x36461)),x36463)),f333(a117,f2(a880))))
% 163.20/162.96 [3652]E(f145(x36521,f333(f333(f127(x36521),x36522),f333(f333(f152(x36521),x36523),f118(x36521)))),x36523)
% 163.20/162.96 [3653]E(f119(x36531,f333(f333(f127(x36531),x36532),f333(f333(f152(x36531),x36533),f118(x36531)))),x36532)
% 163.20/162.96 [3659]E(f333(f333(f127(x36591),f333(f333(f174(x36591),x36592),x36593)),f333(f333(f139(x36591),x36592),x36593)),x36593)
% 163.20/162.96 [3668]E(f333(f333(f3(a880),f333(f333(f81(a880),x36681),x36682)),f333(f333(f81(a880),x36683),x36682)),f333(f333(f3(a880),x36681),x36683))
% 163.20/162.96 [3669]E(f333(f333(f3(a880),f333(f333(f81(a880),x36691),x36692)),f333(f333(f81(a880),x36691),x36693)),f333(f333(f3(a880),x36692),x36693))
% 163.20/162.96 [3676]E(f333(f333(f127(x36761),f333(f170(x36761),x36762)),f333(f333(f152(x36761),x36763),f118(x36761))),f333(f170(x36761),f333(f333(f152(x36761),x36763),x36762)))
% 163.20/162.96 [3678]E(f333(f333(f81(a880),f333(f195(f881(x36781)),x36782)),f333(f195(f881(x36781)),x36783)),f333(f195(f881(x36781)),f333(f333(f127(x36781),x36782),x36783)))
% 163.20/162.96 [3688]E(f333(f333(f115(f890(x36881,a874)),f333(f173(x36881),x36882)),f333(f173(x36881),x36883)),f333(f173(x36881),f333(f333(f127(x36881),x36882),x36883)))
% 163.20/162.96 [3689]E(f46(a880,f333(f333(f82(a880),x36891),x36892),f333(f333(f82(a880),x36891),x36893)),f333(f333(f82(a880),x36891),f46(a880,x36892,x36893)))
% 163.20/162.96 [3702]E(f333(f333(f174(x37021),f333(f333(f3(a880),x37022),f79(a880))),f333(f172(x37021),x37023)),f333(f172(x37021),f333(f333(f174(x37021),x37022),x37023)))
% 163.20/162.96 [3707]E(f333(f333(f106(f890(x37071,a874)),x37072),f333(f80(f890(x37071,a874)),x37073)),f333(f333(f3(f890(x37071,a874)),x37072),x37073))
% 163.20/162.96 [3708]E(f333(f333(f3(f890(x37081,a874)),x37082),f333(f80(f890(x37081,a874)),x37083)),f333(f333(f106(f890(x37081,a874)),x37082),x37083))
% 163.20/162.96 [3724]E(f333(f333(f270(x37241,x37242),x37243),f333(f18(f890(x37242,a874),x37241),f194(f890(x37242,a874)))),f194(f890(f889(x37241,x37242),a874)))
% 163.20/162.96 [3726]E(f333(f333(f3(a880),f333(f333(f82(a880),x37261),x37262)),f333(f333(f82(a880),x37261),x37263)),f333(f333(f82(a880),x37261),f333(f333(f3(a880),x37262),x37263)))
% 163.20/162.96 [3727]E(f333(f333(f81(a880),f333(f333(f82(a880),x37271),x37272)),f333(f333(f82(a880),x37271),x37273)),f333(f333(f82(a880),x37271),f333(f333(f81(a880),x37272),x37273)))
% 163.20/162.96 [3728]E(f333(f333(f3(a1),f333(f333(f82(a1),x37281),x37282)),f333(f333(f82(a1),x37281),x37283)),f333(f333(f82(a1),x37281),f333(f333(f3(a1),x37282),x37283)))
% 163.20/162.96 [3729]E(f333(f333(f81(a1),f333(f333(f82(a1),x37291),x37292)),f333(f333(f82(a1),x37291),x37293)),f333(f333(f82(a1),x37291),f333(f333(f81(a1),x37292),x37293)))
% 163.20/162.96 [3730]E(f333(f333(f82(a1),f333(f333(f264(a1),x37301),x37302)),f333(f333(f264(a1),x37301),x37303)),f333(f333(f264(a1),x37301),f333(f333(f81(a880),x37302),x37303)))
% 163.20/162.96 [3743]E(f333(f333(f44(x37431,f890(x37432,a874)),x37433),f333(f18(f890(x37432,a874),x37431),f194(f890(x37432,a874)))),f194(f890(x37432,a874)))
% 163.20/162.96 [3745]E(f46(a880,f333(f333(f82(a880),x37451),x37452),f333(f333(f82(a880),x37453),x37452)),f333(f333(f82(a880),f46(a880,x37451,x37453)),x37452))
% 163.20/162.96 [3749]E(f46(a1,f333(f333(f3(a1),x37491),f46(a1,x37492,x37493)),x37493),f46(a1,f333(f333(f3(a1),x37491),x37492),x37493))
% 163.20/162.96 [3750]E(f46(a1,f333(f333(f82(a1),x37501),f46(a1,x37502,x37503)),x37503),f46(a1,f333(f333(f82(a1),x37501),x37502),x37503))
% 163.20/162.96 [3751]P24(f333(f333(f250(f890(x37511,a874)),x37512),f333(f333(f311(x37511),x37513),x37512)))
% 163.20/162.96 [3754]E(f333(f312(f889(x37541,x37542),x37541,f262(x37541,x37542)),f333(f173(f889(x37541,x37542)),x37543)),f184(x37541,x37542,f333(f178(x37541,x37542),x37543)))
% 163.20/162.96 [3807]P24(f333(f63(x38071),f184(x38071,x38072,f333(f178(x38071,x38072),x38073))))
% 163.20/162.96 [3832]E(f333(f333(f43(f890(x38321,a874),f890(x38321,a874)),x38322),f333(f115(f890(x38321,a874)),x38323)),f333(f333(f115(f890(x38321,a874)),x38323),f42(f890(x38321,a874),x38322)))
% 163.20/162.96 [3833]E(f333(f333(f44(f890(x38331,a874),f890(x38331,a874)),x38332),f333(f106(f890(x38331,a874)),x38333)),f333(f333(f106(f890(x38331,a874)),x38333),f41(f890(x38331,a874),x38332)))
% 163.20/162.96 [3841]E(f333(f173(x38411),f333(f333(f333(f189(f881(x38411),f881(x38411)),x38412),f169(x38411)),x38413)),f333(f173(x38411),x38413))
% 163.20/162.96 [3845]E(f333(f333(f174(x38451),f333(f195(f881(x38451)),f177(x38451,x38452,x38453))),x38453),f177(x38451,x38452,x38453))
% 163.20/162.96 [3846]E(f184(x38461,x38462,f333(f333(f10(x38462,f884(x38462),x38461),f242(x38462)),x38463)),f258(f890(x38461,a874)))
% 163.20/162.96 [3850]E(f333(f195(f881(x38501)),f333(f333(f333(f189(f881(x38501),f881(x38501)),x38502),f169(x38501)),x38503)),f333(f195(f881(x38501)),x38503))
% 163.20/162.96 [3853]E(f333(f333(f272(x38531,x38532,x38532),f333(f18(f890(x38532,x38532),x38531),f7(x38532))),x38533),f333(f271(x38531,x38532),x38533))
% 163.20/162.96 [3859]E(f46(a1,f333(f333(f3(a1),f46(a1,x38591,x38592)),x38593),x38592),f46(a1,f333(f333(f3(a1),x38591),x38593),x38592))
% 163.20/162.96 [3860]E(f46(a1,f333(f333(f264(a1),f46(a1,x38601,x38602)),x38603),x38602),f46(a1,f333(f333(f264(a1),x38601),x38603),x38602))
% 163.20/162.96 [3863]E(f333(f333(f44(f890(f889(x38631,x38632),a874),f890(x38632,a874)),x38633),f259(x38631,x38632)),f333(f259(x38631,x38632),f41(f890(f889(x38631,x38632),a874),x38633)))
% 163.20/162.96 [3864]E(f333(f333(f44(f890(f889(x38641,x38642),a874),f890(x38641,a874)),x38643),f261(x38641,x38642)),f333(f261(x38641,x38642),f41(f890(f889(x38641,x38642),a874),x38643)))
% 163.20/162.96 [3887]E(f333(f74(x38871,x38871,x38871,x38872),f333(f333(f189(x38871,x38871),x38873),x38872)),f333(f333(f189(x38871,x38871),f333(a117,x38873)),x38872))
% 163.20/162.96 [3897]E(f244(f884(x38971),x38972,f197(x38971),f333(f333(f10(x38971,f884(x38971),x38972),f242(x38971)),x38973)),f333(f208(x38972,x38971),x38973))
% 163.20/162.96 [3904]E(f333(f333(f139(x39041),f333(f333(f3(a880),f333(f195(f881(x39041)),x39042)),x39043)),f333(f170(x39041),x39042)),f333(f170(x39041),f333(f333(f174(x39041),x39043),x39042)))
% 163.20/162.96 [3905]E(f333(f333(f174(x39051),f333(f333(f3(a880),f333(f195(f881(x39051)),x39052)),x39053)),f333(f170(x39051),x39052)),f333(f170(x39051),f333(f333(f139(x39051),x39053),x39052)))
% 163.20/162.96 [3908]E(f333(f333(f81(a880),f333(f167(a880),f333(f333(f155(x39081,a880),x39082),x39083))),f333(f195(f881(x39081)),x39083)),f156(x39081,x39082,x39083))
% 163.20/162.96 [3926]E(f333(f169(x39261),f333(f333(f333(f189(f881(x39261),f881(x39261)),x39262),f169(x39261)),x39263)),f333(f333(f333(f189(f881(x39261),f881(x39261)),f333(a117,x39262)),f169(x39261)),x39263))
% 163.20/162.96 [3943]P24(f333(f333(f250(a880),f333(f195(f881(x39431)),f333(f137(x39431,x39432),x39433))),f333(f195(f881(x39431)),x39433)))
% 163.20/162.96 [3959]E(f333(f333(f115(f890(f890(x39591,a874),a874)),f333(f310(x39591),x39592)),f333(f312(f890(x39591,a874),f890(x39591,a874),f333(f311(x39591),x39593)),f333(f310(x39591),x39592))),f333(f310(x39591),f333(f333(f311(x39591),x39593),x39592)))
% 163.20/162.96 [3978]P20(x39781,x39782,f333(f333(f311(f879(x39781)),f333(f333(f333(f93(x39781),x39783),a24),x39783)),f194(f890(f879(x39781),a874))))
% 163.20/162.96 [3993]P24(f333(f333(f250(a880),f333(f195(f881(x39931)),f177(x39931,x39932,x39933))),f333(f195(f881(x39931)),x39933)))
% 163.20/162.96 [4000]E(f333(f261(x40001,x40002),f333(f255(f889(x40001,x40002)),f333(f272(x40001,x40002,a874),x40003))),f333(f255(x40001),f333(f333(f10(f890(x40002,a874),a874,x40001),f87(x40002)),x40003)))
% 163.20/162.96 [4010]E(f333(f312(a880,a880,f333(f333(f9(a880,a880,a880),f81(a880)),x40101)),f304(a880,x40102,x40103)),f304(a880,f333(f333(f81(a880),x40102),x40101),f333(f333(f81(a880),x40103),x40101)))
% 163.20/162.96 [4013]P24(f333(f63(f884(x40131)),f333(f312(x40132,f884(x40131),f333(f178(x40132,x40131),x40133)),f258(f890(x40132,a874)))))
% 163.20/162.96 [4026]E(f333(f312(a880,a880,f333(f333(f9(a880,a880,a880),f81(a880)),x40261)),f333(f303(a880,x40262),x40263)),f333(f303(a880,f333(f333(f81(a880),x40262),x40261)),f333(f333(f81(a880),x40263),x40261)))
% 163.20/162.96 [4043]E(f333(f333(f182(x40431,x40432),f333(f333(f155(f889(x40431,x40432),x40431),f262(x40431,x40432)),x40433)),f333(f333(f155(f889(x40431,x40432),x40432),f271(x40431,x40432)),x40433)),x40433)
% 163.20/162.96 [4048]E(f333(f333(f81(a880),f333(f333(f82(a880),x40481),f46(a880,f333(f333(f40(a880),x40482),x40481),x40483))),f46(a880,x40482,x40481)),f46(a880,x40482,f333(f333(f82(a880),x40481),x40483)))
% 163.20/162.96 [4061]E(f333(f333(f127(x40611),x40612),f333(f143(f881(x40611),f881(x40611),f127(x40611),f118(x40611)),x40613)),f333(f143(f881(x40611),f881(x40611),f127(x40611),x40612),x40613))
% 163.20/162.96 [4080]P24(f333(f333(f335(f889(x40801,x40801)),f333(f333(f263(x40801,x40801),x40802),x40802)),f333(f333(f189(f889(x40801,x40801),a874),f2(a880)),x40803)))
% 163.20/162.96 [4086]E(f333(f255(x40861),f333(f333(f10(f890(x40862,a874),a874,x40861),f87(x40862)),f333(f9(x40862,x40861,a874),x40863))),f333(f259(x40862,x40861),f333(f255(f889(x40862,x40861)),f333(f272(x40862,x40861,a874),x40863))))
% 163.20/162.96 [4104]E(f333(f333(f115(f890(x41041,a874)),f333(f333(f44(a880,f890(x41041,a874)),f304(a880,f79(a880),x41042)),x41043)),f333(x41043,f2(a880))),f333(f333(f44(a880,f890(x41041,a874)),f333(f302(a880),x41042)),x41043))
% 163.20/162.96 [4119]E(f333(f143(f881(x41191),f881(x41191),f127(x41191),f118(x41191)),f333(f333(f155(f881(x41191),f881(x41191)),f137(x41191,x41192)),x41193)),f333(f137(x41191,x41192),f333(f143(f881(x41191),f881(x41191),f127(x41191),f118(x41191)),x41193)))
% 163.20/162.96 [4124]E(f333(f271(f881(x41241),f881(x41241)),f168(x41241,x41242,x41243)),f333(f137(x41241,f333(f74(a874,a874,x41241,a328),x41242)),x41243))
% 163.20/162.96 [4139]E(f333(f333(f43(x41391,f890(x41392,a874)),f258(f890(x41391,a874))),f333(f333(f10(f890(x41392,a874),f890(x41392,a874),x41391),f255(x41392)),f333(f9(x41392,x41391,a874),x41393))),f333(f255(x41392),f333(f333(f10(f890(x41391,a874),a874,x41392),f88(x41391)),x41393)))
% 163.20/162.96 [4168]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f82(a1),x41681),f333(f333(f40(a1),x41682),x41681))),f46(a1,x41682,x41681))),x41683),f333(f333(f81(a1),x41682),x41683))
% 163.20/162.96 [4208]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f82(a1),f333(f333(f40(a1),x42081),x42082)),x42082)),f46(a1,x42081,x42082))),x42083),f333(f333(f81(a1),x42081),x42083))
% 163.20/162.96 [4239]E(f86(f889(x42391,x42392),f333(f272(x42391,x42392,a874),f333(f333(f10(f890(x42392,f889(x42391,x42392)),f890(x42392,a874),x42391),f333(f10(f889(x42391,x42392),a874,x42392),x42393)),f263(x42391,x42392)))),f86(f889(x42391,x42392),x42393))
% 163.20/162.96 [4240]E(f91(f889(x42401,x42402),f333(f272(x42401,x42402,a874),f333(f333(f10(f890(x42402,f889(x42401,x42402)),f890(x42402,a874),x42401),f333(f10(f889(x42401,x42402),a874,x42402),x42403)),f263(x42401,x42402)))),f91(f889(x42401,x42402),x42403))
% 163.20/162.96 [4269]P24(f333(f333(f250(f890(x42691,a874)),f41(f890(x42691,a874),f333(f333(f106(f890(f890(x42691,a874),a874)),x42692),x42693))),f333(f333(f106(f890(x42691,a874)),f41(f890(x42691,a874),x42692)),f41(f890(x42691,a874),x42693))))
% 163.20/162.96 [4270]E(f333(f170(x42701),f333(f333(f333(f189(f881(x42701),f881(x42701)),f333(f333(f3(a880),f333(f195(f881(x42701)),x42702)),f46(a880,x42703,f333(f195(f881(x42701)),x42702)))),f169(x42701)),x42702)),f333(f333(f333(f189(f881(x42701),f881(x42701)),x42703),f169(x42701)),f333(f170(x42701),x42702)))
% 163.20/162.96 [4283]E(f333(f255(x42831),f333(f333(f10(a874,a874,x42831),a328),f333(f333(f9(x42831,f884(x42832),a874),f333(f333(f10(f884(x42832),f890(f884(x42832),a874),x42831),a330),x42833)),f197(x42832)))),f184(x42831,x42832,x42833))
% 163.20/162.96 [4310]P24(f333(f333(f250(a880),f333(f195(f881(x43101)),f333(f333(f139(x43101),f333(f195(f881(x43101)),f177(x43101,x43102,x43103))),x43103))),f333(f195(f881(x43101)),x43103)))
% 163.20/162.96 [4349]E(f333(f255(x43491),f333(f333(f10(f890(x43492,a874),a874,x43491),f87(x43492)),f333(f333(f10(f884(x43491),f890(x43492,a874),x43491),f333(f9(x43492,f884(x43491),a874),f333(f333(f10(f884(x43491),f890(f884(x43491),a874),x43492),a330),x43493))),f242(x43491)))),f186(x43492,x43491,x43493))
% 163.20/162.96 [4581]~P24(f333(f64(x45811,x45812,f194(f890(x45811,a874))),x45813))
% 163.20/162.96 [4592]~P24(f333(f333(f335(f889(x45921,x45921)),f333(f333(f263(x45921,x45921),x45922),x45923)),f154(x45921,f118(f890(x45921,a880)))))
% 163.20/162.96 [3619]E(f333(f195(f881(x36191)),f333(f333(f174(x36191),x36192),x36193)),f333(f333(f248(a880),f333(f195(f881(x36191)),x36193)),x36192))
% 163.20/162.96 [3620]E(f333(f195(f881(x36201)),f333(f333(f139(x36201),x36202),x36203)),f333(f333(f3(a880),f333(f195(f881(x36201)),x36203)),x36202))
% 163.20/162.96 [3645]E(f333(f195(f881(f881(x36451))),f56(x36451,x36452,x36453)),f333(f333(f264(a880),f333(f195(f881(x36451)),x36453)),x36452))
% 163.20/162.96 [3661]E(f333(f333(f40(a880),f333(f333(f40(a880),x36611),x36612)),x36613),f333(f333(f40(a880),x36611),f333(f333(f82(a880),x36612),x36613)))
% 163.20/162.96 [3662]E(f333(f333(f3(a880),f333(f333(f3(a880),x36621),x36622)),x36623),f333(f333(f3(a880),x36621),f333(f333(f81(a880),x36622),x36623)))
% 163.20/162.96 [3663]E(f333(f333(f81(a880),f333(f333(f81(a880),x36631),x36632)),x36633),f333(f333(f81(a880),x36631),f333(f333(f81(a880),x36632),x36633)))
% 163.20/162.96 [3664]E(f333(f333(f81(a1),f333(f333(f81(a1),x36641),x36642)),x36643),f333(f333(f81(a1),x36641),f333(f333(f81(a1),x36642),x36643)))
% 163.20/162.96 [3665]E(f333(f333(f82(a880),f333(f333(f82(a880),x36651),x36652)),x36653),f333(f333(f82(a880),x36651),f333(f333(f82(a880),x36652),x36653)))
% 163.20/162.96 [3666]E(f333(f333(f82(a1),f333(f333(f82(a1),x36661),x36662)),x36663),f333(f333(f82(a1),x36661),f333(f333(f82(a1),x36662),x36663)))
% 163.20/162.96 [3667]E(f333(f333(f264(a1),f333(f333(f264(a1),x36671),x36672)),x36673),f333(f333(f264(a1),x36671),f333(f333(f82(a880),x36672),x36673)))
% 163.20/162.96 [3686]E(f163(x36861,f333(f333(f152(f890(x36861,a874)),x36862),x36863)),f176(x36861,x36862,f163(x36861,x36863)))
% 163.20/162.96 [3725]E(f333(f333(f3(a880),f333(f333(f3(a880),x37251),x37252)),x37253),f333(f333(f3(a880),f333(f333(f3(a880),x37251),x37253)),x37252))
% 163.20/162.96 [3731]E(f333(f242(f889(x37311,f882(x37311))),f333(f333(f263(x37311,f882(x37311)),x37312),x37313)),f333(f134(x37311),f129(x37311,x37312,x37313)))
% 163.20/162.96 [3734]E(f333(f333(f106(f890(x37341,a874)),x37342),f333(f333(f3(f890(x37341,a874)),x37343),x37342)),f194(f890(x37341,a874)))
% 163.20/162.96 [3779]E(f41(f890(x37791,a874),f333(f333(f311(f890(x37791,a874)),x37792),x37793)),f333(f333(f115(f890(x37791,a874)),x37792),f41(f890(x37791,a874),x37793)))
% 163.20/162.96 [3780]E(f42(f890(x37801,a874),f333(f333(f311(f890(x37801,a874)),x37802),x37803)),f333(f333(f106(f890(x37801,a874)),x37802),f42(f890(x37801,a874),x37803)))
% 163.20/162.96 [3782]E(f333(f333(f3(a880),f333(f333(f82(a880),x37821),x37822)),f333(f333(f82(a880),x37823),x37822)),f333(f333(f82(a880),f333(f333(f3(a880),x37821),x37823)),x37822))
% 163.20/162.96 [3783]E(f333(f333(f81(a880),f333(f333(f82(a880),x37831),x37832)),f333(f333(f82(a880),x37833),x37832)),f333(f333(f82(a880),f333(f333(f81(a880),x37831),x37833)),x37832))
% 163.20/162.96 [3784]E(f333(f333(f3(a1),f333(f333(f82(a1),x37841),x37842)),f333(f333(f82(a1),x37843),x37842)),f333(f333(f82(a1),f333(f333(f3(a1),x37841),x37843)),x37842))
% 163.20/162.96 [3785]E(f333(f333(f81(a1),f333(f333(f82(a1),x37851),x37852)),f333(f333(f82(a1),x37853),x37852)),f333(f333(f82(a1),f333(f333(f81(a1),x37851),x37853)),x37852))
% 163.20/162.96 [3786]E(f333(f333(f248(a880),f333(f333(f3(a880),x37861),x37862)),f333(f333(f3(a880),x37863),x37862)),f333(f333(f3(a880),f333(f333(f248(a880),x37861),x37863)),x37862))
% 163.20/162.96 [3810]E(f333(f333(f106(f890(f881(x38101),a874)),f161(x38101,x38102)),f161(x38101,x38103)),f161(x38101,f333(f333(f106(f890(x38101,a874)),x38102),x38103)))
% 163.20/162.96 [3812]E(f333(f333(f115(f890(x38121,a874)),x38122),f333(f333(f115(f890(x38121,a874)),x38122),x38123)),f333(f333(f115(f890(x38121,a874)),x38122),x38123))
% 163.20/162.96 [3813]E(f333(f333(f115(f890(x38131,a874)),x38132),f333(f333(f3(f890(x38131,a874)),x38133),x38132)),f333(f333(f115(f890(x38131,a874)),x38132),x38133))
% 163.20/162.96 [3814]E(f333(f333(f106(f890(x38141,a874)),x38142),f333(f333(f106(f890(x38141,a874)),x38142),x38143)),f333(f333(f106(f890(x38141,a874)),x38142),x38143))
% 163.20/162.96 [3826]E(f333(f333(f290(x38261,x38262,x38262),x38263),f309(x38262,f194(f890(f889(x38262,x38262),a874)))),x38263)
% 163.20/162.96 [3829]E(f333(f333(f115(f890(x38291,a874)),f333(f333(f311(x38291),x38292),f194(f890(x38291,a874)))),x38293),f333(f333(f311(x38291),x38292),x38293))
% 163.20/162.96 [3844]E(f333(f333(f3(a880),f333(f333(f3(a880),f333(a117,x38441)),x38442)),f333(a117,x38443)),f333(f333(f3(a880),f333(f333(f3(a880),x38441),x38442)),x38443))
% 163.20/162.96 [3871]E(f333(f333(f106(f890(f890(x38711,a874),a874)),f333(f310(x38711),x38712)),f333(f310(x38711),x38713)),f333(f310(x38711),f333(f333(f106(f890(x38711,a874)),x38712),x38713)))
% 163.20/162.96 [3875]E(f333(f333(f115(f890(x38751,a874)),f333(f80(f890(x38751,a874)),x38752)),x38753),f333(f80(f890(x38751,a874)),f333(f333(f3(f890(x38751,a874)),x38752),x38753)))
% 163.20/162.96 [3885]E(f333(f333(f311(x38851),x38852),f333(f333(f3(f890(x38851,a874)),x38853),f333(f333(f311(x38851),x38852),f194(f890(x38851,a874))))),f333(f333(f311(x38851),x38852),x38853))
% 163.20/162.96 [3894]P24(f333(f333(f250(f890(x38941,a874)),x38942),f333(f333(f115(f890(x38941,a874)),x38943),x38942)))
% 163.20/162.96 [3895]P24(f333(f333(f250(f890(x38951,a874)),x38952),f333(f333(f115(f890(x38951,a874)),x38952),x38953)))
% 163.20/162.96 [3898]E(f333(f333(f106(f890(x38981,a874)),f333(f80(f890(x38981,a874)),x38982)),f333(f80(f890(x38981,a874)),x38983)),f333(f80(f890(x38981,a874)),f333(f333(f115(f890(x38981,a874)),x38982),x38983)))
% 163.20/162.96 [3899]E(f333(f333(f115(f890(x38991,a874)),f333(f80(f890(x38991,a874)),x38992)),f333(f80(f890(x38991,a874)),x38993)),f333(f80(f890(x38991,a874)),f333(f333(f106(f890(x38991,a874)),x38992),x38993)))
% 163.20/162.96 [3913]P24(f333(f333(f250(f890(x39131,a874)),f333(f173(x39131),x39132)),f333(f173(x39131),f333(f333(f152(x39131),x39133),x39132))))
% 163.20/162.96 [3922]E(f333(f333(f115(f890(x39221,a874)),f333(f333(f3(f890(x39221,a874)),x39222),x39223)),f333(f333(f106(f890(x39221,a874)),x39222),x39223)),x39222)
% 163.20/162.96 [3980]E(f333(f333(f8(x39801,a1),f333(f333(f10(a880,a1,x39801),f105(a1)),x39802)),x39803),f333(f105(a1),f333(f333(f8(x39801,a880),x39802),x39803)))
% 163.20/162.96 [3981]E(f333(f333(f11(x39811,a1),f333(f333(f10(a880,a1,x39811),f105(a1)),x39812)),x39813),f333(f105(a1),f333(f333(f11(x39811,a880),x39812),x39813)))
% 163.20/162.96 [4028]E(f333(f333(f127(x40281),f177(x40281,x40282,x40283)),f333(f333(f139(x40281),f333(f195(f881(x40281)),f177(x40281,x40282,x40283))),x40283)),x40283)
% 163.20/162.96 [4032]E(f333(f80(f890(f889(x40321,x40322),a874)),f333(f333(f270(x40321,x40322),x40323),f333(f18(f890(x40322,a874),x40321),f258(f890(x40322,a874))))),f333(f333(f270(x40321,x40322),f333(f80(f890(x40321,a874)),x40323)),f333(f18(f890(x40322,a874),x40321),f258(f890(x40322,a874)))))
% 163.20/162.96 [4033]E(f333(f80(f890(f889(x40331,x40332),a874)),f333(f333(f270(x40331,x40332),f258(f890(x40331,a874))),f333(f18(f890(x40332,a874),x40331),x40333))),f333(f333(f270(x40331,x40332),f258(f890(x40331,a874))),f333(f18(f890(x40332,a874),x40331),f333(f80(f890(x40332,a874)),x40333))))
% 163.20/162.96 [4081]E(f333(f333(f44(f890(x40811,a874),f890(x40811,a874)),x40812),f333(f333(f9(f890(x40811,a874),f890(x40811,a874),f890(x40811,a874)),f106(f890(x40811,a874))),x40813)),f333(f333(f106(f890(x40811,a874)),f41(f890(x40811,a874),x40812)),x40813))
% 163.20/162.96 [4089]E(f333(f143(f881(x40891),f881(x40891),f127(x40891),f118(x40891)),f333(f333(f152(f881(x40891)),x40892),x40893)),f333(f333(f127(x40891),x40892),f333(f143(f881(x40891),f881(x40891),f127(x40891),f118(x40891)),x40893)))
% 163.20/162.96 [4110]E(f333(f333(f311(f890(x41101,a874)),f333(f287(x41101,x41101,x41102),f333(f333(f311(x41101),x41103),f194(f890(x41101,a874))))),f194(f890(f890(x41101,a874),a874))),f333(f333(f62(x41101),f333(f333(f311(x41101),x41103),f194(f890(x41101,a874)))),x41102))
% 163.20/162.96 [4120]E(f333(f333(f81(a880),f333(f333(f82(a880),x41201),f333(f333(f40(a880),x41202),x41203))),f333(f333(f40(a880),f333(f333(f82(a880),x41201),f46(a880,x41202,x41203))),x41203)),f333(f333(f40(a880),f333(f333(f82(a880),x41201),x41202)),x41203))
% 163.20/162.96 [4121]E(f333(f333(f81(a1),f333(f333(f82(a1),x41211),f333(f333(f40(a1),x41212),x41213))),f333(f333(f40(a1),f333(f333(f82(a1),x41211),f46(a1,x41212,x41213))),x41213)),f333(f333(f40(a1),f333(f333(f82(a1),x41211),x41212)),x41213))
% 163.20/162.96 [4155]E(f333(f333(f3(f890(x41551,a874)),f333(f173(x41551),x41552)),f333(f333(f311(x41551),x41553),f194(f890(x41551,a874)))),f333(f173(x41551),f333(f137(x41551,f333(f333(f10(a874,a874,x41551),a328),f333(a330,x41553))),x41552)))
% 163.20/162.96 [4205]E(f333(f333(f127(x42051),f333(f143(f881(x42051),f881(x42051),f127(x42051),f118(x42051)),x42052)),f333(f143(f881(x42051),f881(x42051),f127(x42051),f118(x42051)),x42053)),f333(f143(f881(x42051),f881(x42051),f127(x42051),f118(x42051)),f333(f333(f127(f881(x42051)),x42052),x42053)))
% 163.20/162.96 [4211]E(f333(f333(f263(f881(x42111),f881(x42111)),f333(f137(x42111,x42112),x42113)),f333(f137(x42111,f333(f74(a874,a874,x42111,a328),x42112)),x42113)),f168(x42111,x42112,x42113))
% 163.20/162.96 [4215]E(f333(f333(f81(a880),f333(f333(f81(a880),f333(f333(f40(a880),x42151),x42152)),f333(f333(f40(a880),x42153),x42152))),f333(f333(f40(a880),f333(f333(f81(a880),f46(a880,x42151,x42152)),f46(a880,x42153,x42152))),x42152)),f333(f333(f40(a880),f333(f333(f81(a880),x42151),x42153)),x42152))
% 163.20/162.96 [4216]E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f40(a1),x42161),x42162)),f333(f333(f40(a1),x42163),x42162))),f333(f333(f40(a1),f333(f333(f81(a1),f46(a1,x42161,x42162)),f46(a1,x42163,x42162))),x42162)),f333(f333(f40(a1),f333(f333(f81(a1),x42161),x42163)),x42162))
% 163.20/162.96 [4273]E(f333(f333(f106(f890(f881(x42731),a874)),f333(f333(f9(f881(x42731),f890(f881(x42731),a874),a874),f335(f881(x42731))),f162(x42731,x42732))),f333(f333(f9(f881(x42731),f890(f881(x42731),a874),a874),f335(f881(x42731))),f162(x42731,x42733))),f161(x42731,f333(f333(f106(f890(x42731,a874)),f333(f333(f9(x42731,f890(x42731,a874),a874),f335(x42731)),x42732)),f333(f333(f9(x42731,f890(x42731,a874),a874),f335(x42731)),x42733))))
% 163.20/162.96 [4285]E(f333(f255(x42851),f333(f333(f20(x42851,a874,a874),f333(f333(f10(a874,f890(a874,a874),x42851),a332),f333(f333(f9(x42851,x42851,a874),a330),x42852))),f333(f333(f9(x42851,f890(x42851,a874),a874),f335(x42851)),x42853))),f333(f333(f311(x42851),x42852),x42853))
% 163.20/162.96 [4307]E(f333(f333(f89(f881(f881(x43071)),f881(f881(x43071))),f55(x43071,x43072)),f333(f333(f20(f881(f881(x43071)),f881(f881(x43071)),f881(f881(x43071))),f333(f333(f10(f881(f881(x43071)),f890(f881(f881(x43071)),f881(f881(x43071))),f881(f881(x43071))),f127(f881(x43071))),f333(f155(f881(x43071),f881(x43071)),f333(f152(x43071),x43073)))),f7(f881(f881(x43071))))),f55(x43071,f333(f333(f152(x43071),x43073),x43072)))
% 163.20/162.96 [4311]E(f333(f255(x43111),f333(f333(f20(x43111,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43111),a332),f333(f333(f9(x43111,f890(x43111,a874),a874),f335(x43111)),x43112))),f333(f333(f9(x43111,f890(x43111,a874),a874),f335(x43111)),x43113))),f333(f333(f115(f890(x43111,a874)),x43112),x43113))
% 163.20/162.96 [4312]E(f333(f255(x43121),f333(f333(f20(x43121,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43121),a331),f333(f333(f9(x43121,f890(x43121,a874),a874),f335(x43121)),x43122))),f333(f333(f9(x43121,f890(x43121,a874),a874),f335(x43121)),x43123))),f333(f333(f106(f890(x43121,a874)),x43122),x43123))
% 163.20/162.96 [4402]E(f333(f333(f44(x44021,f890(f890(x44021,a874),a874)),x44022),f333(f333(f9(x44021,f890(f890(x44021,a874),a874),f890(f890(x44021,a874),a874)),f333(f333(f10(f890(x44021,a874),f890(f890(f890(x44021,a874),a874),f890(f890(x44021,a874),a874)),x44021),f311(f890(x44021,a874))),f333(f333(f10(f890(x44021,a874),f890(x44021,a874),x44021),f287(x44021,x44021,x44023)),f333(f333(f9(x44021,f890(x44021,a874),f890(x44021,a874)),f311(x44021)),f194(f890(x44021,a874)))))),f194(f890(f890(x44021,a874),a874)))),f333(f333(f62(x44021),x44022),x44023))
% 163.20/162.96 [4411]E(f333(f333(f211(x44111),f333(f333(f82(a1),f333(f333(f74(f889(a1,a1),a1,x44111,f262(a1,a1)),f222(x44111)),x44112)),f333(f333(f74(f889(a1,a1),a1,x44111,f262(a1,a1)),f222(x44111)),x44113))),f333(f333(f82(a1),f333(f333(f74(f889(a1,a1),a1,x44111,f271(a1,a1)),f222(x44111)),x44112)),f333(f333(f74(f889(a1,a1),a1,x44111,f271(a1,a1)),f222(x44111)),x44113))),f237(x44111,x44112,x44113))
% 163.20/162.96 [4415]E(f333(f255(f881(x44151)),f333(f333(f20(f881(x44151),a874,a874),f333(f333(f10(a874,f890(a874,a874),f881(x44151)),a331),f333(f333(f9(f881(x44151),a880,a874),f333(f333(f10(a880,f890(a880,a874),f881(x44151)),a330),f195(f881(x44151)))),x44152))),f333(f333(f9(f881(x44151),f890(x44151,a874),a874),f333(f333(f10(f890(x44151,a874),f890(f890(x44151,a874),a874),f881(x44151)),f250(f890(x44151,a874))),f173(x44151))),f333(f173(x44151),x44153)))),f333(f173(f881(x44151)),f56(x44151,x44152,x44153)))
% 163.20/162.96 [3799]E(f46(a880,f333(f333(f81(a880),f333(f333(f82(a880),x37991),x37992)),x37993),x37992),f46(a880,x37993,x37992))
% 163.20/162.96 [3843]E(f140(a880,f333(f303(a880,f333(f333(f81(a880),x38431),x38432)),x38433)),f333(f333(f139(a880),x38432),f140(a880,f333(f303(a880,x38431),x38433))))
% 163.20/162.96 [3884]E(f333(f333(f81(a1),f333(f105(a1),x38841)),f333(f333(f81(a1),f333(f105(a1),x38842)),x38843)),f333(f333(f81(a1),f333(f105(a1),f333(f333(f81(a880),x38841),x38842))),x38843))
% 163.20/162.96 [3890]E(f333(f333(f115(f890(x38901,a874)),f333(f333(f3(f890(x38901,a874)),x38902),x38903)),x38903),f333(f333(f115(f890(x38901,a874)),x38902),x38903))
% 163.20/162.96 [3891]E(f333(f333(f3(f890(x38911,a874)),f333(f333(f3(f890(x38911,a874)),x38912),x38913)),x38913),f333(f333(f3(f890(x38911,a874)),x38912),x38913))
% 163.20/162.96 [3914]E(f333(f333(f290(x39141,x39141,x39142),f309(x39141,f194(f890(f889(x39141,x39141),a874)))),x39143),x39143)
% 163.20/162.96 [3920]E(f333(f333(f115(f890(x39201,a874)),f333(f286(x39201),x39202)),f333(f286(x39201),x39203)),f333(f286(x39201),f333(f333(f115(f890(f889(x39201,x39201),a874)),x39202),x39203)))
% 163.20/162.96 [3931]E(f277(x39311,f333(f333(f152(f889(a104,x39311)),f333(f333(f263(a104,x39311),f2(a104)),x39312)),x39313)),f277(x39311,x39313))
% 163.20/162.96 [3934]E(f333(f333(f115(f890(x39341,a874)),f41(f890(x39341,a874),x39342)),f41(f890(x39341,a874),x39343)),f41(f890(x39341,a874),f333(f333(f115(f890(f890(x39341,a874),a874)),x39342),x39343)))
% 163.20/162.96 [3935]E(f333(f333(f106(f890(x39351,a874)),f42(f890(x39351,a874),x39352)),f42(f890(x39351,a874),x39353)),f42(f890(x39351,a874),f333(f333(f115(f890(f890(x39351,a874),a874)),x39352),x39353)))
% 163.20/162.96 [3973]E(f333(f333(f290(x39731,x39731,x39731),f333(f333(f189(f889(x39731,x39731),a874),x39732),x39733)),x39733),f333(f333(f189(f889(x39731,x39731),a874),f333(a117,x39732)),x39733))
% 163.20/162.96 [4019]P24(f333(f333(f250(f890(x40191,a874)),f333(f333(f3(f890(x40191,a874)),x40192),x40193)),x40192))
% 163.20/162.96 [4020]P24(f333(f333(f250(f890(x40201,a874)),f333(f333(f106(f890(x40201,a874)),x40202),x40203)),x40203))
% 163.20/162.96 [4021]P24(f333(f333(f250(f890(x40211,a874)),f333(f333(f106(f890(x40211,a874)),x40212),x40213)),x40212))
% 163.20/162.96 [4045]E(f309(x40451,f333(f333(f115(f890(f889(x40451,x40451),a874)),f309(x40451,x40452)),f309(x40451,x40453))),f309(x40451,f333(f333(f115(f890(f889(x40451,x40451),a874)),x40452),x40453)))
% 163.20/162.96 [4049]E(f41(f890(x40491,a874),f333(f333(f311(f890(x40491,a874)),x40492),f333(f333(f311(f890(x40491,a874)),x40493),f194(f890(f890(x40491,a874),a874))))),f333(f333(f115(f890(x40491,a874)),x40492),x40493))
% 163.20/162.96 [4050]E(f42(f890(x40501,a874),f333(f333(f311(f890(x40501,a874)),x40502),f333(f333(f311(f890(x40501,a874)),x40503),f194(f890(f890(x40501,a874),a874))))),f333(f333(f106(f890(x40501,a874)),x40502),x40503))
% 163.20/162.96 [4056]E(f333(f333(f290(x40561,x40561,x40561),f333(f333(f189(f889(x40561,x40561),a874),x40562),x40563)),x40563),f333(f333(f290(x40561,x40561,x40561),x40563),f333(f333(f189(f889(x40561,x40561),a874),x40562),x40563)))
% 163.20/162.96 [4125]E(f333(f333(f115(f890(x41251,a874)),f333(f255(x41251),f333(f333(f9(x41251,x41251,a874),a330),x41252))),x41253),f333(f333(f311(x41251),x41252),x41253))
% 163.20/162.96 [4126]E(f333(a109,f333(f333(f8(x41261,a1),f333(f333(f10(a880,a1,x41261),f105(a1)),x41262)),x41263)),f333(f333(f8(x41261,a880),x41262),x41263))
% 163.20/162.96 [4127]E(f333(a109,f333(f333(f11(x41271,a1),f333(f333(f10(a880,a1,x41271),f105(a1)),x41272)),x41273)),f333(f333(f11(x41271,a880),x41272),x41273))
% 163.20/162.96 [4202]E(f333(f157(f881(x42021),x42021,f333(f172(x42021),x42022),f333(f18(f890(f881(x42021),f881(x42021)),x42021),f333(f333(f9(f881(x42021),f881(x42021),f881(x42021)),f127(x42021)),x42022))),x42023),f333(f172(x42021),f333(f333(f127(x42021),x42023),x42022)))
% 163.20/162.96 [4233]P24(f333(f333(f250(f890(f890(x42331,a874),a874)),f333(f333(f115(f890(f890(x42331,a874),a874)),f333(f310(x42331),x42332)),f333(f310(x42331),x42333))),f333(f310(x42331),f333(f333(f115(f890(x42331,a874)),x42332),x42333))))
% 163.20/162.96 [4326]E(f333(f255(x43261),f333(f333(f20(x43261,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43261),a331),f333(f333(f9(x43261,f890(x43261,a874),a874),f335(x43261)),x43262))),f333(f333(f10(a874,a874,x43261),a328),f333(f333(f9(x43261,f890(x43261,a874),a874),f335(x43261)),x43263)))),f333(f333(f3(f890(x43261,a874)),x43262),x43263))
% 163.20/162.96 [4350]E(f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,a880,a874),f251(a880)),f333(f195(f881(x43501)),x43502)))),f333(f333(f10(x43501,a874,a880),x43503),f333(f166(x43501),x43502))))),f333(f195(f881(x43501)),f333(f137(x43501,x43503),x43502)))
% 163.20/162.96 [4352]E(f333(f195(f881(x43521)),f175(x43521,x43522,x43523)),f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,a880,a874),f251(a880)),f333(f195(f881(x43521)),x43522)))),f333(f333(f9(a880,f890(a880,a874),a874),f335(a880)),x43523)))))
% 163.20/162.96 [4463]E(f333(f333(f106(f890(f889(f881(x44631),f881(x44631)),a874)),f333(f312(f889(f889(x44631,f881(x44631)),f889(x44631,f881(x44631))),f889(f881(x44631),f881(x44631)),f273(f889(x44631,f881(x44631)),f881(x44631),f889(x44631,f881(x44631)),f881(x44631),f333(f272(x44631,f881(x44631),f881(x44631)),f152(x44631)),f333(f272(x44631,f881(x44631),f881(x44631)),f152(x44631)))),f326(x44631,f881(x44631),x44632,f333(f144(x44631,x44632),x44633)))),f333(f255(f889(f881(x44631),f881(x44631))),f333(f272(f881(x44631),f881(x44631),a874),f333(f333(f9(f881(x44631),f890(f881(x44631),a874),f890(f881(x44631),a874)),f333(f333(f10(f890(a874,a874),f890(f890(f881(x44631),a874),f890(f881(x44631),a874)),f881(x44631)),f10(a874,a874,f881(x44631))),f333(f333(f10(a874,f890(a874,a874),f881(x44631)),a331),f333(f333(f9(f881(x44631),a880,a874),f333(f333(f10(a880,f890(a880,a874),f881(x44631)),a330),f195(f881(x44631)))),f333(a117,x44633))))),f333(f333(f9(f881(x44631),a880,a874),f333(f333(f10(a880,f890(a880,a874),f881(x44631)),a330),f195(f881(x44631)))),f333(a117,x44633)))))),f333(f144(x44631,x44632),f333(a117,x44633)))
% 163.20/162.96 [3936]E(f46(a880,f333(a117,f333(f333(f81(a880),f333(f333(f82(a880),x39361),x39362)),x39363)),x39362),f46(a880,f333(a117,x39363),x39362))
% 163.20/162.96 [4188]E(f333(f255(x41881),f333(f333(f20(x41881,a874,a874),f333(f333(f10(a874,f890(a874,a874),x41881),a331),x41882)),x41883)),f333(f333(f106(f890(x41881,a874)),f333(f255(x41881),x41882)),f333(f255(x41881),x41883)))
% 163.20/162.96 [4189]E(f333(f255(x41891),f333(f333(f20(x41891,a874,a874),f333(f333(f10(a874,f890(a874,a874),x41891),a332),x41892)),x41893)),f333(f333(f115(f890(x41891,a874)),f333(f255(x41891),x41892)),f333(f255(x41891),x41893)))
% 163.20/162.96 [4191]E(f333(f333(f127(x41911),f333(f333(f139(x41911),f46(a880,x41912,f333(f195(f881(x41911)),x41913))),x41913)),f333(f333(f174(x41911),f46(a880,x41912,f333(f195(f881(x41911)),x41913))),x41913)),f333(f333(f333(f189(f881(x41911),f881(x41911)),x41912),f169(x41911)),x41913))
% 163.20/162.96 [4196]E(f333(f255(x41961),f333(f333(f20(x41961,a874,a874),f333(f333(f10(a874,f890(a874,a874),x41961),a336),x41962)),x41963)),f333(f333(f115(f890(x41961,a874)),f333(f80(f890(x41961,a874)),f333(f255(x41961),x41962))),f333(f255(x41961),x41963)))
% 163.20/162.96 [4217]E(f333(f333(f81(a880),f333(f195(f881(x42171)),f333(f137(x42171,x42172),x42173))),f333(f195(f881(x42171)),f333(f137(x42171,f333(f333(f10(a874,a874,x42171),a328),x42172)),x42173))),f333(f195(f881(x42171)),x42173))
% 163.20/162.96 [4242]P24(f333(f333(f250(f890(x42421,a874)),f333(f333(f115(f890(x42421,a874)),f42(f890(x42421,a874),x42422)),f42(f890(x42421,a874),x42423))),f42(f890(x42421,a874),f333(f333(f106(f890(f890(x42421,a874),a874)),x42422),x42423))))
% 163.20/162.96 [4255]E(f333(f173(x42551),f333(f137(x42551,f333(f333(f10(a874,a874,x42551),a328),f333(f333(f9(x42551,x42551,a874),a330),x42552))),x42553)),f333(f333(f3(f890(x42551,a874)),f333(f173(x42551),x42553)),f333(f333(f311(x42551),x42552),f194(f890(x42551,a874)))))
% 163.20/162.96 [4264]P24(f333(f333(f250(f890(f889(x42641,x42641),a874)),f333(f333(f115(f890(f889(x42641,x42641),a874)),f309(x42641,x42642)),f309(x42641,x42643))),f309(x42641,f333(f333(f115(f890(f889(x42641,x42641),a874)),x42642),x42643))))
% 163.20/162.96 [4290]E(f333(f333(f82(a880),f333(a117,f333(a117,f2(a880)))),f333(f333(f8(a880,a880),f333(f333(f10(a880,a880,a880),f333(f81(a880),x42901)),f333(f333(f9(a880,a880,a880),f82(a880)),x42902))),f333(f256(a880),x42903))),f333(f333(f82(a880),x42903),f333(f333(f81(a880),x42901),f333(f333(f81(a880),x42901),f333(f333(f82(a880),f333(f333(f3(a880),x42903),f79(a880))),x42902)))))
% 163.20/162.96 [4302]E(f333(f255(x43021),f333(f333(f20(x43021,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43021),a331),f333(f333(f9(x43021,f890(x43021,a874),a874),f335(x43021)),f333(f173(x43021),x43022)))),x43023)),f333(f173(x43021),f333(f137(x43021,x43023),x43022)))
% 163.20/162.96 [4462]E(f333(f255(x44621),f333(f333(f10(f890(a880,a874),a874,x44621),f87(a880)),f333(f333(f9(x44621,f890(a880,a874),f890(a880,a874)),f333(f333(f10(f890(a880,f890(a874,a874)),f890(f890(a880,a874),f890(a880,a874)),x44621),f20(a880,a874,a874)),f333(f333(f10(f890(a880,a874),f890(a880,f890(a874,a874)),x44621),f333(f10(a874,f890(a874,a874),a880),a331)),f333(f333(f9(x44621,f890(a880,x44621),f890(a880,a874)),f333(f333(f10(f890(x44621,a874),f890(f890(a880,x44621),f890(a880,a874)),x44621),f10(x44621,a874,a880)),a330)),f333(f166(x44621),x44622))))),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,a880,a874),f251(a880)),f333(f195(f881(x44621)),x44622)))),f333(f333(f9(a880,f890(a880,a874),a874),f335(a880)),x44623))))),f333(f173(x44621),f175(x44621,x44622,x44623)))
% 163.20/162.96 [4339]E(f333(f255(x43391),f333(f333(f20(x43391,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43391),a336),f333(f333(f10(a874,a874,x43391),a328),f333(f333(f9(x43391,x43391,a874),a330),x43392)))),x43393)),f333(f333(f311(x43391),x43392),f333(f255(x43391),x43393)))
% 163.20/162.96 [4377]E(f333(f333(f155(f889(x43771,a880),x43771),f262(x43771,a880)),f333(f137(f889(x43771,a880),f333(f333(f9(f889(x43771,a880),f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),f889(x43771,a880)),f335(a880)),f271(x43771,a880))),x43772)),f333(f333(f182(x43771,a880),x43773),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(x43771)),x43773)))))),f175(x43771,x43773,x43772))
% 163.20/162.96 [4447]E(f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f8(a880,a1),f333(f333(f10(a1,a1,a880),f333(f81(a1),x44471)),f333(f333(f9(a880,a1,a1),f333(f333(f10(a1,f890(a1,a1),a880),f82(a1)),f105(a1))),x44472))),f333(f256(a880),x44473))),f333(f333(f82(a1),f333(f105(a1),x44473)),f333(f333(f81(a1),x44471),f333(f333(f81(a1),x44471),f333(f333(f82(a1),f333(f105(a1),f333(f333(f3(a880),x44473),f79(a880)))),x44472)))))
% 163.20/162.96 [4456]E(f333(f255(f889(x44561,x44562)),f333(f272(x44561,x44562,a874),f333(f333(f9(x44561,f890(f889(x44562,x44561),a874),f890(x44562,a874)),f333(f333(f10(f890(x44562,f890(f890(f889(x44562,x44561),a874),a874)),f890(f890(f889(x44562,x44561),a874),f890(x44562,a874)),x44561),f9(x44562,f890(f889(x44562,x44561),a874),a874)),f333(f333(f10(f890(x44562,f889(x44562,x44561)),f890(x44562,f890(f890(f889(x44562,x44561),a874),a874)),x44561),f333(f10(f889(x44562,x44561),f890(f890(f889(x44562,x44561),a874),a874),x44562),f335(f889(x44562,x44561)))),f333(f9(x44562,x44561,f889(x44562,x44561)),f263(x44562,x44561))))),x44563))),f333(f288(x44562,x44561),x44563))
% 163.20/162.96 [4477]E(f333(f255(f881(x44771)),f333(f333(f10(f890(x44771,a874),a874,f881(x44771)),f87(x44771)),f333(f333(f10(f890(x44771,f890(f881(x44771),a874)),f890(x44771,a874),f881(x44771)),f333(f10(f890(f881(x44771),a874),a874,x44771),f87(f881(x44771)))),f333(f333(f9(f881(x44771),f890(x44771,f890(f881(x44771),a874)),f890(x44771,f890(f881(x44771),a874))),f333(f333(f10(f890(x44771,f890(f890(f881(x44771),a874),f890(f881(x44771),a874))),f890(f890(x44771,f890(f881(x44771),a874)),f890(x44771,f890(f881(x44771),a874))),f881(x44771)),f20(x44771,f890(f881(x44771),a874),f890(f881(x44771),a874))),f333(f333(f10(f890(x44771,f890(f881(x44771),f890(a874,a874))),f890(x44771,f890(f890(f881(x44771),a874),f890(f881(x44771),a874))),f881(x44771)),f333(f10(f890(f881(x44771),f890(a874,a874)),f890(f890(f881(x44771),a874),f890(f881(x44771),a874)),x44771),f20(f881(x44771),a874,a874))),f333(f333(f10(f890(x44771,f890(f881(x44771),a874)),f890(x44771,f890(f881(x44771),f890(a874,a874))),f881(x44771)),f333(f10(f890(f881(x44771),a874),f890(f881(x44771),f890(a874,a874)),x44771),f333(f10(a874,f890(a874,a874),f881(x44771)),a331))),f333(f333(f9(f881(x44771),f890(x44771,f890(f881(x44771),f881(x44771))),f890(x44771,f890(f881(x44771),a874))),f333(f333(f10(f890(f890(f881(x44771),f881(x44771)),f890(f881(x44771),a874)),f890(f890(x44771,f890(f881(x44771),f881(x44771))),f890(x44771,f890(f881(x44771),a874))),f881(x44771)),f10(f890(f881(x44771),f881(x44771)),f890(f881(x44771),a874),x44771)),f333(f333(f10(f890(f881(x44771),a874),f890(f890(f881(x44771),f881(x44771)),f890(f881(x44771),a874)),f881(x44771)),f10(f881(x44771),a874,f881(x44771))),a330))),f152(x44771)))))),f333(f333(f9(x44771,f890(f881(x44771),a874),f890(f881(x44771),a874)),f333(f333(f10(f890(a874,a874),f890(f890(f881(x44771),a874),f890(f881(x44771),a874)),x44771),f10(a874,a874,f881(x44771))),f333(f333(f10(a874,f890(a874,a874),x44771),a331),f333(f333(f9(x44771,f890(x44771,a874),a874),f335(x44771)),x44772)))),f333(f333(f9(f881(x44771),f890(f881(x44771),a874),a874),f335(f881(x44771))),x44773)))))),f176(x44771,x44772,x44773))
% 163.20/162.96 [4478]E(f333(f333(f89(a1,f889(a1,a1)),f333(f333(f3(a1),x44781),x44782)),f333(f333(f9(a1,f889(a1,a1),f889(a1,a1)),f333(f333(f20(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f333(f333(f10(a874,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f101(f889(a1,a1))),f333(f250(a1),f2(a1)))),f333(f263(a1,a1),f333(f333(f81(a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x44783)),f79(a1))))),f333(f333(f263(a1,a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x44783)),x44781))),f333(f45(x44782),f333(f333(f263(a1,a1),x44783),x44781)))
% 163.20/162.96 [4506]~E(f33(x45061,x45062),f34(x45063,x45064))
% 163.20/162.96 [4524]~E(f333(a26,x45241),f29(x45242,x45243,x45244))
% 163.20/162.96 [4525]~E(f333(a26,x45251),f31(x45252,x45253,x45254))
% 163.20/162.96 [4526]~E(f333(a26,x45261),f30(x45262,x45263,x45264))
% 163.20/162.96 [4527]~E(f29(x45271,x45272,x45273),f333(a26,x45274))
% 163.20/162.96 [4528]~E(f31(x45281,x45282,x45283),f333(a26,x45284))
% 163.20/162.96 [4529]~E(f30(x45291,x45292,x45293),f333(a26,x45294))
% 163.20/162.96 [3498]E(f333(f333(f333(f73(x34981,x34982),x34983),x34984),f333(x34983,x34984)),x34983)
% 163.20/162.96 [3506]E(f121(x35061,f333(x35062,x35063),f333(x35064,x35063)),f333(f213(x35061,x35062,x35064),x35063))
% 163.20/162.96 [3557]E(f333(f333(f265(x35571,x35572,x35573),x35574),f2(a880)),x35572)
% 163.20/162.96 [3597]E(f191(x35971,x35972,x35973,f333(a117,x35974)),f333(x35973,x35974))
% 163.20/162.96 [3637]E(f171(x36371,x36372,f171(x36371,x36373,x36374)),f171(x36371,x36373,f171(x36371,x36372,x36374)))
% 163.20/162.96 [3638]E(f121(x36381,f129(x36381,x36382,x36383),x36384),f129(x36381,x36382,f121(x36381,x36383,x36384)))
% 163.20/162.96 [3768]E(f333(f244(x37681,x37682,x37683,x37684),f197(x37682)),x37683)
% 163.20/162.96 [3770]E(f333(f157(x37701,x37702,x37703,x37704),f118(x37702)),x37703)
% 163.20/162.96 [3771]E(f333(f143(x37711,x37712,x37713,x37714),f118(x37712)),x37714)
% 163.20/162.96 [3806]E(f333(f195(f885(x38061,x38062)),f230(x38061,x38062,x38063,x38064)),f2(a880))
% 163.20/162.96 [3881]E(f333(f244(f884(x38811),x38812,f197(x38811),f333(f18(f884(x38811),x38812),f197(x38811))),f333(x38813,x38814)),f197(x38811))
% 163.20/162.96 [3923]E(f333(f333(f115(f890(x39231,a874)),f184(x39231,x39232,x39233)),f184(x39231,x39232,x39234)),f184(x39231,x39232,f185(x39231,x39232,x39234,x39233)))
% 163.20/162.96 [3957]E(f333(f333(f274(x39571,x39572,x39573,f889(x39572,x39573)),x39574),f263(x39572,x39573)),x39574)
% 163.20/162.96 [3966]E(f245(x39661,x39662,x39663,x39664,f197(x39662)),x39663)
% 163.20/162.96 [3967]E(f187(x39671,x39672,x39673,x39674,f118(x39672)),x39673)
% 163.20/162.96 [3968]E(f187(x39681,x39682,x39683,f118(x39681),x39684),x39683)
% 163.20/162.96 [4249]P44(x42491,x42492,x42493,x42494,f194(f890(x42491,a874)),x42494)
% 163.20/162.96 [3303]E(f333(f333(f18(x33031,x33032),x33033),x33034),x33033)
% 163.20/162.96 [3419]E(f333(f333(f208(x34191,x34192),x34193),f333(f242(x34191),x34194)),f333(f242(x34192),f333(x34193,x34194)))
% 163.20/162.96 [3588]E(f171(x35881,x35882,f333(f137(x35881,x35883),x35884)),f333(f137(x35881,x35883),f171(x35881,x35882,x35884)))
% 163.20/162.96 [3621]E(f333(f333(f66(x36211,x36212,x36213),x36214),f194(f890(x36211,a874))),x36214)
% 163.20/162.96 [3644]E(f333(f333(f166(x36441),f333(f333(f152(x36441),x36442),x36443)),f333(a117,x36444)),f333(f333(f166(x36441),x36443),x36444))
% 163.20/162.96 [3687]P32(x36871,f2(a880),f333(f333(f333(f93(x36871),x36872),f333(a26,x36873)),x36874))
% 163.20/162.96 [3712]E(f333(f333(x37121,x37122),f333(f190(x37123,x37124,x37121),x37122)),f333(f190(x37123,x37124,x37121),f333(a117,x37122)))
% 163.20/162.96 [3804]E(f333(f333(f160(x38041,f333(f333(f152(x38041),x38042),x38043)),f2(a880)),x38044),f333(f333(f152(x38041),x38044),x38043))
% 163.20/162.96 [3816]E(f333(f333(f44(f890(x38161,a874),f890(x38162,a874)),x38163),f313(x38162,x38161,x38164)),f333(f313(x38162,x38161,x38164),f41(f890(x38161,a874),x38163)))
% 163.20/162.96 [3817]E(f333(f333(f44(f890(x38171,a874),f890(x38172,a874)),x38173),f312(x38171,x38172,x38174)),f333(f312(x38171,x38172,x38174),f41(f890(x38171,a874),x38173)))
% 163.20/162.96 [3907]E(f184(x39071,x39072,f188(x39071,x39072,x39073,x39074)),f333(f333(f106(f890(x39071,a874)),f184(x39071,x39072,x39073)),x39074))
% 163.20/162.96 [3911]E(f333(f131(x39111,x39112),f129(x39111,x39113,x39114)),f333(f333(f81(a880),f333(f333(f81(a880),f333(x39112,x39113)),f333(f131(x39111,x39112),x39114))),f333(a117,f2(a880))))
% 163.20/162.96 [3930]E(f333(f143(x39301,x39302,f333(f9(x39302,x39301,x39301),x39303),x39304),f333(f170(x39302),f118(x39302))),x39304)
% 163.20/162.96 [3979]E(f77(x39791,x39792,x39793,x39794,f194(f890(x39791,a874))),x39793)
% 163.20/162.96 [4022]E(f333(f333(f333(f333(f73(x40221,f884(x40222)),f333(f18(f884(x40222),x40221),f197(x40222))),x40223),f197(x40222)),x40224),f197(x40222))
% 163.20/162.96 [4171]E(f333(f272(x41711,x41712,x41713),f333(f333(f10(f890(x41712,f889(x41711,x41712)),f890(x41712,x41713),x41711),f333(f10(f889(x41711,x41712),x41713,x41712),x41714)),f263(x41711,x41712))),x41714)
% 163.20/162.96 [3496]E(f333(f271(x34961,x34962),f333(f333(f263(x34961,x34962),x34963),x34964)),x34964)
% 163.20/162.96 [3497]E(f333(f262(x34971,x34972),f333(f333(f263(x34971,x34972),x34973),x34974)),x34973)
% 163.20/162.96 [3532]E(f333(f195(f881(x35321)),f333(f333(f155(x35322,x35321),x35323),x35324)),f333(f195(f881(x35322)),x35324))
% 163.20/162.96 [3533]E(f333(f195(f881(x35331)),f333(f333(f160(x35331,x35332),x35333),x35334)),f333(f195(f881(x35331)),x35332))
% 163.20/162.96 [3551]E(f333(f333(f139(x35511),f333(a117,x35512)),f333(f333(f152(x35511),x35513),x35514)),f333(f333(f139(x35511),x35512),x35514))
% 163.20/162.96 [3623]E(f333(f333(f311(x36231),x36232),f333(f333(f311(x36231),x36233),x36234)),f333(f333(f311(x36231),x36233),f333(f333(f311(x36231),x36232),x36234)))
% 163.20/162.96 [3626]E(f333(f333(f155(x36261,x36262),x36263),f119(x36261,x36264)),f119(x36262,f333(f333(f155(x36261,x36262),x36263),x36264)))
% 163.20/162.96 [3642]E(f333(f170(x36421),f333(f333(f155(x36422,x36421),x36423),x36424)),f333(f333(f155(x36422,x36421),x36423),f333(f170(x36422),x36424)))
% 163.20/162.96 [3643]E(f333(f333(f155(x36431,x36432),x36433),f333(f172(x36431),x36434)),f333(f172(x36432),f333(f333(f155(x36431,x36432),x36433),x36434)))
% 163.20/162.96 [3656]E(f333(f333(f174(x36561),f333(a117,x36562)),f333(f333(f152(x36561),x36563),x36564)),f333(f333(f152(x36561),x36563),f333(f333(f174(x36561),x36562),x36564)))
% 163.20/162.96 [3660]E(f333(f173(x36601),f333(f333(f155(x36602,x36601),x36603),x36604)),f333(f312(x36602,x36601,x36603),f333(f173(x36602),x36604)))
% 163.20/162.96 [3711]E(f19(x37111,x37112,x37113,f333(a5,f333(a117,f333(a21,x37114)))),f333(x37113,x37114))
% 163.20/162.96 [3714]E(f333(f333(f127(x37141),f333(f137(x37141,x37142),x37143)),f333(f137(x37141,x37142),x37144)),f333(f137(x37141,x37142),f333(f333(f127(x37141),x37143),x37144)))
% 163.20/162.96 [3722]E(f153(x37221,f333(f333(f155(x37222,x37221),x37223),f153(x37222,x37224))),f153(x37221,f333(f333(f155(x37222,x37221),x37223),x37224)))
% 163.20/162.96 [3737]E(f333(f288(x37371,x37371),f333(f333(f289(x37372,x37371),x37373),x37374)),f333(f333(f289(x37372,x37371),f333(f288(x37372,x37372),x37373)),x37374))
% 163.20/162.96 [3746]E(f333(f333(f290(x37461,x37462,x37463),x37464),f194(f890(f889(x37462,x37463),a874))),f194(f890(f889(x37461,x37463),a874)))
% 163.20/162.96 [3747]E(f333(f333(f174(x37471),f333(f333(f3(a880),x37472),x37473)),f333(f333(f139(x37471),x37473),x37474)),f333(f333(f139(x37471),x37473),f333(f333(f174(x37471),x37472),x37474)))
% 163.20/162.96 [3796]E(f41(f890(x37961,a874),f333(f312(x37962,f890(x37961,a874),x37963),x37964)),f333(f333(f44(x37962,f890(x37961,a874)),x37964),x37963))
% 163.20/162.96 [3797]E(f42(f890(x37971,a874),f333(f312(x37972,f890(x37971,a874),x37973),x37974)),f333(f333(f43(x37972,f890(x37971,a874)),x37974),x37973))
% 163.20/162.96 [3798]E(f333(f195(f881(f889(x37981,x37982))),f333(f333(f182(x37981,x37982),x37983),x37984)),f333(f333(f248(a880),f333(f195(f881(x37981)),x37983)),f333(f195(f881(x37982)),x37984)))
% 163.20/162.96 [3800]E(f333(f313(x38001,x38002,x38003),f333(f80(f890(x38002,a874)),x38004)),f333(f80(f890(x38001,a874)),f333(f313(x38001,x38002,x38003),x38004)))
% 163.20/162.96 [3831]E(f333(f188(x38311,x38312,x38313,f194(f890(x38311,a874))),x38314),f197(x38312))
% 163.20/162.96 [3849]E(f333(f313(x38491,x38492,x38493),f333(f255(x38492),x38494)),f333(f255(x38491),f333(f333(f10(x38492,a874,x38491),x38494),x38493)))
% 163.20/162.96 [3866]E(f333(f333(f166(x38661),f333(f333(f127(x38661),x38662),f333(f333(f152(x38661),x38663),x38664))),f333(f195(f881(x38661)),x38662)),x38663)
% 163.20/162.96 [3870]E(f333(f188(x38701,x38702,f333(f18(f884(x38702),x38701),f197(x38702)),x38703),x38704),f197(x38702))
% 163.20/162.96 [3888]E(f333(f312(x38881,x38882,x38883),f333(f313(x38881,x38882,x38883),x38884)),f333(f333(f106(f890(x38882,a874)),x38884),f333(f312(x38881,x38882,x38883),f258(f890(x38881,a874)))))
% 163.20/162.96 [3906]P24(f333(f333(f335(x39061),f333(x39062,x39063)),f333(f312(x39064,x39061,x39062),f258(f890(x39064,a874)))))
% 163.20/162.96 [3919]E(f333(f333(f270(x39191,x39192),f333(f173(x39191),x39193)),f333(f18(f890(x39192,a874),x39191),f333(f173(x39192),x39194))),f333(f173(f889(x39191,x39192)),f61(x39191,x39192,x39193,x39194)))
% 163.20/162.96 [3933]E(f156(x39331,x39332,f333(f333(f152(x39331),x39333),x39334)),f333(f333(f81(a880),f333(f333(f81(a880),f333(x39332,x39333)),f156(x39331,x39332,x39334))),f333(a117,f2(a880))))
% 163.20/162.96 [3949]E(f191(f881(x39491),f333(f333(f152(x39491),x39492),x39493),f333(f333(f9(a880,f881(x39491),f881(x39491)),f139(x39491)),x39493),x39494),f333(f333(f139(x39491),x39494),f333(f333(f152(x39491),x39492),x39493)))
% 163.20/162.96 [3950]P21(x39501,f889(x39502,x39501),f337(x39503,x39504,x39502,x39501),f333(f333(f44(x39502,f890(x39501,a874)),x39504),x39503))
% 163.20/162.96 [3958]E(f333(f333(f3(f890(x39581,a874)),f333(f333(f3(f890(x39581,a874)),x39582),x39583)),f333(f333(f311(x39581),x39584),f194(f890(x39581,a874)))),f333(f333(f3(f890(x39581,a874)),x39582),f333(f333(f311(x39581),x39584),x39583)))
% 163.20/162.96 [3971]E(f333(f333(f189(f890(x39711,x39712),f890(x39711,x39712)),x39713),f74(x39712,x39712,x39711,x39714)),f74(x39712,x39712,x39711,f333(f333(f189(x39712,x39712),x39713),x39714)))
% 163.20/162.96 [4044]E(f333(f333(f333(f189(f881(x40441),f881(x40441)),x40442),f169(x40441)),f333(f333(f333(f189(f881(x40441),f881(x40441)),x40443),f169(x40441)),x40444)),f333(f333(f333(f189(f881(x40441),f881(x40441)),f333(f333(f81(a880),x40442),x40443)),f169(x40441)),x40444))
% 163.20/162.96 [4128]P24(f333(f333(f250(f890(x41281,a874)),f333(f173(x41281),f333(f333(f160(x41281,x41282),x41283),x41284))),f333(f333(f311(x41281),x41284),f333(f173(x41281),x41282))))
% 163.20/162.96 [4159]E(f333(f333(f44(f890(x41591,a874),f890(f889(x41591,x41592),a874)),x41593),f333(f333(f9(f890(x41591,a874),f890(x41591,f890(x41592,a874)),f890(f889(x41591,x41592),a874)),f270(x41591,x41592)),x41594)),f333(f333(f270(x41591,x41592),f41(f890(x41591,a874),x41593)),x41594))
% 163.20/162.96 [4201]E(f219(x42011,x42012,x42013,f333(f74(x42012,f890(a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(x42012))))),x42011,f214(x42012)),x42014)),f220(x42011,x42012,x42014,x42013))
% 163.20/162.96 [4220]E(f216(x42201,x42202,x42203,f333(f74(x42202,f890(a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(f884(x42202)))))),x42201,f215(x42202)),x42204)),f217(x42201,x42202,x42204,x42203))
% 163.20/162.96 [4227]P24(f333(f68(x42271,x42272,x42273,x42274,f194(f890(x42271,a874))),x42274))
% 163.20/162.96 [4268]E(f333(f333(f44(x42681,f890(x42682,a874)),x42683),f333(f333(f9(x42681,f890(x42682,a874),f890(x42682,a874)),f333(f333(f10(x42682,f890(f890(x42682,a874),f890(x42682,a874)),x42681),f311(x42682)),x42684)),f194(f890(x42682,a874)))),f333(f312(x42681,x42682,x42684),x42683))
% 163.20/162.96 [4275]P24(f333(f333(f250(f890(x42751,a874)),f333(f259(x42752,x42751),f333(f333(f106(f890(f889(x42752,x42751),a874)),x42753),x42754))),f333(f333(f106(f890(x42751,a874)),f333(f259(x42752,x42751),x42753)),f333(f259(x42752,x42751),x42754))))
% 163.20/162.96 [4276]P24(f333(f333(f250(f890(x42761,a874)),f333(f261(x42761,x42762),f333(f333(f106(f890(f889(x42761,x42762),a874)),x42763),x42764))),f333(f333(f106(f890(x42761,a874)),f333(f261(x42761,x42762),x42763)),f333(f261(x42761,x42762),x42764))))
% 163.20/162.96 [4336]P24(f333(f333(f250(f890(f889(x43361,x43362),a874)),f333(f312(x43362,f889(x43361,x43362),f337(x43363,x43364,x43361,x43362)),f333(f333(f44(x43361,f890(x43362,a874)),x43364),x43363))),f333(f333(f270(x43361,x43362),x43364),x43363)))
% 163.20/162.96 [4337]E(f333(f123(x43371,f889(x43371,x43372),x43373),f333(f333(f10(f890(x43372,f882(f889(x43371,x43372))),f882(f889(x43371,x43372)),x43371),f123(x43372,f889(x43371,x43372),x43374)),f333(f333(f10(f890(x43372,f889(x43371,x43372)),f890(x43372,f882(f889(x43371,x43372))),x43371),f333(f10(f889(x43371,x43372),f882(f889(x43371,x43372)),x43372),f128(f889(x43371,x43372)))),f263(x43371,x43372)))),f133(x43371,x43372,x43373,x43374))
% 163.20/162.96 [4383]E(f86(f889(x43831,x43832),f333(f272(x43831,x43832,a874),f333(f333(f9(x43831,f890(x43832,a874),f890(x43832,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x43832,a874),f890(x43832,a874)),x43831),f10(a874,a874,x43832)),f333(f333(f10(a874,f890(a874,a874),x43831),a331),f333(a330,x43833)))),f333(a330,x43834)))),f333(f333(f263(x43831,x43832),x43833),x43834))
% 163.20/162.96 [4384]E(f91(f889(x43841,x43842),f333(f272(x43841,x43842,a874),f333(f333(f9(x43841,f890(x43842,a874),f890(x43842,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x43842,a874),f890(x43842,a874)),x43841),f10(a874,a874,x43842)),f333(f333(f10(a874,f890(a874,a874),x43841),a331),f333(a330,x43843)))),f333(a330,x43844)))),f333(f333(f263(x43841,x43842),x43843),x43844))
% 163.20/162.96 [4464]E(f333(f333(f272(f881(x44641),f881(x44641),f889(f881(x44641),f881(x44641))),f333(f333(f20(f881(x44641),f890(f881(x44641),f889(f881(x44641),f881(x44641))),f890(f881(x44641),f889(f881(x44641),f881(x44641)))),f333(f333(f10(f890(f881(x44641),f890(f889(f881(x44641),f881(x44641)),f889(f881(x44641),f881(x44641)))),f890(f890(f881(x44641),f889(f881(x44641),f881(x44641))),f890(f881(x44641),f889(f881(x44641),f881(x44641)))),f881(x44641)),f20(f881(x44641),f889(f881(x44641),f881(x44641)),f889(f881(x44641),f881(x44641)))),f333(f333(f10(f890(f881(x44641),f889(f881(x44641),f881(x44641))),f890(f881(x44641),f890(f889(f881(x44641),f881(x44641)),f889(f881(x44641),f881(x44641)))),f881(x44641)),f333(f10(f889(f881(x44641),f881(x44641)),f890(f889(f881(x44641),f881(x44641)),f889(f881(x44641),f881(x44641))),f881(x44641)),f333(f101(f889(f881(x44641),f881(x44641))),f333(x44642,x44643)))),f333(f333(f10(f881(x44641),f890(f881(x44641),f889(f881(x44641),f881(x44641))),f881(x44641)),f263(f881(x44641),f881(x44641))),f333(f152(x44641),x44643))))),f333(f333(f9(f881(x44641),f890(f881(x44641),f881(x44641)),f890(f881(x44641),f889(f881(x44641),f881(x44641)))),f333(f333(f10(f890(f881(x44641),f889(f881(x44641),f881(x44641))),f890(f890(f881(x44641),f881(x44641)),f890(f881(x44641),f889(f881(x44641),f881(x44641)))),f881(x44641)),f10(f881(x44641),f889(f881(x44641),f881(x44641)),f881(x44641))),f263(f881(x44641),f881(x44641)))),f333(f152(x44641),x44643)))),f168(x44641,x44642,x44644)),f168(x44641,x44642,f333(f333(f152(x44641),x44643),x44644)))
% 163.20/162.96 [4470]E(f333(f143(f890(x44701,f884(x44702)),f889(x44701,x44702),f333(f9(f889(x44701,x44702),f890(x44701,f884(x44702)),f890(x44701,f884(x44702))),f333(f272(x44701,x44702,f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702)))),f333(f333(f9(x44701,f890(x44702,f884(x44702)),f890(x44702,f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702))))),f333(f333(f10(f890(f884(x44702),f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702)))),f890(f890(x44702,f884(x44702)),f890(x44702,f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702))))),x44701),f10(f884(x44702),f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702))),x44702)),f333(f333(f10(f890(f890(x44701,f884(x44702)),f890(f884(x44702),f890(x44701,f884(x44702)))),f890(f884(x44702),f890(f890(x44701,f884(x44702)),f890(x44701,f884(x44702)))),x44701),f9(f890(x44701,f884(x44702)),f884(x44702),f890(x44701,f884(x44702)))),f333(f9(f890(x44701,f884(x44702)),x44701,f890(f884(x44702),f890(x44701,f884(x44702)))),f73(x44701,f884(x44702)))))),f242(x44702)))),x44703),f333(f170(f889(x44701,x44702)),x44704)),f185(x44701,x44702,x44703,f333(f178(x44701,x44702),x44704)))
% 163.20/162.96 [3571]E(f333(f195(f879(x35711)),f333(f333(f333(f93(x35711),x35712),x35713),x35714)),f2(a880))
% 163.20/162.96 [3690]E(f333(f333(f174(x36901),x36902),f333(f333(f174(x36901),x36903),x36904)),f333(f333(f174(x36901),f333(f333(f248(a880),x36902),x36903)),x36904))
% 163.20/162.96 [3691]E(f333(f333(f139(x36911),x36912),f333(f333(f139(x36911),x36913),x36914)),f333(f333(f139(x36911),f333(f333(f81(a880),x36912),x36913)),x36914))
% 163.20/162.96 [3703]E(f333(f333(f127(x37031),f333(f333(f152(x37031),x37032),x37033)),x37034),f333(f333(f152(x37031),x37032),f333(f333(f127(x37031),x37033),x37034)))
% 163.20/162.96 [3704]E(f333(f333(f127(x37041),f333(f333(f127(x37041),x37042),x37043)),x37044),f333(f333(f127(x37041),x37042),f333(f333(f127(x37041),x37043),x37044)))
% 163.20/162.96 [3781]E(f333(f333(f166(x37811),f333(f333(f152(x37811),x37812),x37813)),x37814),f191(x37811,x37812,f333(f166(x37811),x37813),x37814))
% 163.20/162.96 [3789]E(f333(f333(f189(x37891,x37891),x37892),f333(f333(f189(x37891,x37891),x37893),x37894)),f333(f333(f189(x37891,x37891),f333(f333(f82(a880),x37893),x37892)),x37894))
% 163.20/162.96 [3819]E(f333(f333(f115(f890(x38191,a874)),x38192),f333(f333(f311(x38191),x38193),x38194)),f333(f333(f311(x38191),x38193),f333(f333(f115(f890(x38191,a874)),x38192),x38194)))
% 163.20/162.96 [3834]E(f333(f333(f333(f189(x38341,x38341),x38342),x38343),f333(x38343,x38344)),f333(x38343,f333(f333(f333(f189(x38341,x38341),x38342),x38343),x38344)))
% 163.20/162.96 [3839]E(f333(f333(f290(x38391,x38392,x38393),f194(f890(f889(x38391,x38392),a874))),x38394),f194(f890(f889(x38391,x38393),a874)))
% 163.20/162.96 [3855]E(f333(f333(f115(f890(x38551,a874)),f333(f333(f311(x38551),x38552),x38553)),x38554),f333(f333(f311(x38551),x38552),f333(f333(f115(f890(x38551,a874)),x38553),x38554)))
% 163.20/162.96 [3872]E(f185(x38721,x38722,f333(f178(x38721,x38722),x38723),f333(f178(x38721,x38722),x38724)),f333(f178(x38721,x38722),f333(f333(f127(f889(x38721,x38722)),x38724),x38723)))
% 163.20/162.96 [3873]E(f333(f39(f889(x38731,x38732)),f333(f333(f270(x38731,x38732),x38733),f333(f18(f890(x38732,a874),x38731),x38734))),f333(f333(f82(a880),f333(f39(x38731),x38733)),f333(f39(x38732),x38734)))
% 163.20/162.96 [3879]E(f333(f333(f106(f890(x38791,a874)),f333(f333(f311(x38791),x38792),x38793)),f333(f333(f311(x38791),x38792),x38794)),f333(f333(f311(x38791),x38792),f333(f333(f106(f890(x38791,a874)),x38793),x38794)))
% 163.20/162.96 [3892]E(f333(f333(f115(f890(x38921,a874)),x38922),f333(f333(f115(f890(x38921,a874)),x38923),x38924)),f333(f333(f115(f890(x38921,a874)),x38923),f333(f333(f115(f890(x38921,a874)),x38922),x38924)))
% 163.20/162.96 [3893]E(f333(f333(f106(f890(x38931,a874)),x38932),f333(f333(f106(f890(x38931,a874)),x38933),x38934)),f333(f333(f106(f890(x38931,a874)),x38933),f333(f333(f106(f890(x38931,a874)),x38932),x38934)))
% 163.20/162.96 [3902]E(f66(x39021,x39022,f333(f333(f10(x39022,f890(x39022,x39022),x39021),x39023),x39024)),f333(f67(x39022,x39021,x39023),x39024))
% 163.20/162.96 [3912]E(f180(x39121,f333(f333(f155(f881(x39122),f881(x39121)),f333(f155(x39122,x39121),x39123)),x39124)),f333(f333(f155(f881(x39122),f881(x39121)),f333(f155(x39122,x39121),x39123)),f180(x39122,x39124)))
% 163.20/162.96 [3929]E(f333(f143(f881(x39291),f881(x39291),f127(x39291),f118(x39291)),f333(f333(f155(x39292,f881(x39291)),x39293),x39294)),f165(x39292,x39291,x39293,x39294))
% 163.20/162.96 [3932]E(f188(x39321,x39322,x39323,f333(f80(f890(x39321,a874)),f333(f333(f311(x39321),x39324),f194(f890(x39321,a874))))),f333(f333(f333(f73(x39321,f884(x39322)),x39323),x39324),f197(x39322)))
% 163.20/162.96 [3975]E(f333(f333(f333(f73(x39751,f884(x39752)),f333(f178(x39751,x39752),x39753)),f333(f262(x39751,x39752),x39754)),f333(f242(x39752),f333(f271(x39751,x39752),x39754))),f333(f178(x39751,x39752),f333(f333(f152(f889(x39751,x39752)),x39754),x39753)))
% 163.20/162.96 [3992]E(f333(f74(x39921,x39921,x39921,f333(f333(f189(x39921,x39921),x39922),x39923)),f333(f333(f189(x39921,x39921),x39924),x39923)),f333(f333(f189(x39921,x39921),f333(f333(f81(a880),x39922),x39924)),x39923))
% 163.20/162.96 [4014]E(f333(f333(f106(f890(x40141,a874)),f333(f333(f115(f890(x40141,a874)),x40142),x40143)),f333(f333(f115(f890(x40141,a874)),x40142),x40144)),f333(f333(f115(f890(x40141,a874)),x40142),f333(f333(f106(f890(x40141,a874)),x40143),x40144)))
% 163.20/162.96 [4015]E(f333(f333(f106(f890(x40151,a874)),f333(f333(f3(f890(x40151,a874)),x40152),x40153)),f333(f333(f3(f890(x40151,a874)),x40152),x40154)),f333(f333(f3(f890(x40151,a874)),x40152),f333(f333(f115(f890(x40151,a874)),x40153),x40154)))
% 163.20/162.96 [4016]E(f333(f333(f115(f890(x40161,a874)),f333(f333(f3(f890(x40161,a874)),x40162),x40163)),f333(f333(f3(f890(x40161,a874)),x40162),x40164)),f333(f333(f3(f890(x40161,a874)),x40162),f333(f333(f106(f890(x40161,a874)),x40163),x40164)))
% 163.20/162.96 [4017]E(f333(f333(f115(f890(x40171,a874)),f333(f333(f106(f890(x40171,a874)),x40172),x40173)),f333(f333(f106(f890(x40171,a874)),x40172),x40174)),f333(f333(f106(f890(x40171,a874)),x40172),f333(f333(f115(f890(x40171,a874)),x40173),x40174)))
% 163.20/162.96 [4018]E(f333(f333(f3(f890(x40181,a874)),f333(f333(f106(f890(x40181,a874)),x40182),x40183)),f333(f333(f106(f890(x40181,a874)),x40182),x40184)),f333(f333(f106(f890(x40181,a874)),x40182),f333(f333(f3(f890(x40181,a874)),x40183),x40184)))
% 163.20/162.96 [4024]E(f333(f39(f889(x40241,x40242)),f333(f333(f270(x40241,x40242),f333(f333(f311(x40241),x40243),f194(f890(x40241,a874)))),f333(f18(f890(x40242,a874),x40241),x40244))),f333(f39(x40242),x40244))
% 163.20/162.96 [4059]E(f333(f333(f44(x40591,f890(x40592,a874)),x40593),f333(f333(f10(f890(x40592,a874),f890(x40592,a874),x40591),f80(f890(x40592,a874))),x40594)),f333(f80(f890(x40592,a874)),f333(f333(f43(x40591,f890(x40592,a874)),x40593),x40594)))
% 163.20/162.96 [4060]E(f333(f333(f43(x40601,f890(x40602,a874)),x40603),f333(f333(f10(f890(x40602,a874),f890(x40602,a874),x40601),f80(f890(x40602,a874))),x40604)),f333(f80(f890(x40602,a874)),f333(f333(f44(x40601,f890(x40602,a874)),x40603),x40604)))
% 163.20/162.96 [4074]E(f333(f333(f290(x40741,x40741,x40741),f333(f333(f189(f889(x40741,x40741),a874),x40742),x40743)),f333(f333(f189(f889(x40741,x40741),a874),x40744),x40743)),f333(f333(f189(f889(x40741,x40741),a874),f333(f333(f81(a880),x40742),x40744)),x40743))
% 163.20/162.96 [4105]E(f333(f333(f43(x41051,f890(f890(x41052,a874),a874)),x41053),f333(f333(f10(f890(x41052,a874),f890(f890(x41052,a874),a874),x41051),f310(x41052)),x41054)),f333(f310(x41052),f333(f333(f43(x41051,f890(x41052,a874)),x41053),x41054)))
% 163.20/162.96 [4133]E(f333(f333(f43(f890(x41331,a874),f890(x41332,a874)),x41333),f333(f333(f9(f890(x41331,a874),f890(x41331,f890(x41332,a874)),f890(x41332,a874)),f43(x41331,f890(x41332,a874))),x41334)),f333(f333(f43(x41331,f890(x41332,a874)),f41(f890(x41331,a874),x41333)),x41334))
% 163.20/162.96 [4134]E(f333(f333(f44(f890(x41341,a874),f890(x41342,a874)),x41343),f333(f333(f9(f890(x41341,a874),f890(x41341,f890(x41342,a874)),f890(x41342,a874)),f44(x41341,f890(x41342,a874))),x41344)),f333(f333(f44(x41341,f890(x41342,a874)),f41(f890(x41341,a874),x41343)),x41344))
% 163.20/162.96 [4137]E(f333(f333(f155(x41371,x41372),x41373),f333(f143(f881(x41371),f881(x41371),f127(x41371),f118(x41371)),x41374)),f333(f143(f881(x41372),f881(x41372),f127(x41372),f118(x41372)),f333(f333(f155(f881(x41371),f881(x41372)),f333(f155(x41371,x41372),x41373)),x41374)))
% 163.20/162.96 [4141]E(f191(f881(x41411),f118(x41411),f333(f333(f10(f881(x41411),f881(x41411),a880),f333(f152(x41411),x41412)),f333(f333(f9(a880,f881(x41411),f881(x41411)),f174(x41411)),x41413)),x41414),f333(f333(f174(x41411),x41414),f333(f333(f152(x41411),x41412),x41413)))
% 163.20/162.96 [4181]P24(f333(f333(f250(f890(x41811,a874)),f333(f312(x41812,x41811,x41813),f333(f313(x41812,x41811,x41813),x41814))),x41814))
% 163.20/162.96 [4184]E(f333(f312(f889(x41841,x41842),f889(x41842,x41841),f333(f272(x41841,x41842,f889(x41842,x41841)),f333(f9(x41842,x41841,f889(x41842,x41841)),f263(x41842,x41841)))),f333(f333(f270(x41841,x41842),x41843),f333(f18(f890(x41842,a874),x41841),x41844))),f333(f333(f270(x41842,x41841),x41844),f333(f18(f890(x41841,a874),x41842),x41843)))
% 163.20/162.96 [4193]E(f333(f333(f44(x41931,f890(x41932,a874)),x41933),f333(f333(f10(f890(x41931,a874),f890(x41932,a874),x41931),f313(x41932,x41931,x41934)),f333(f333(f9(x41931,f890(x41931,a874),f890(x41931,a874)),f311(x41931)),f194(f890(x41931,a874))))),f333(f313(x41932,x41931,x41934),x41933))
% 163.20/162.96 [4194]E(f333(f333(f44(x41941,f890(x41942,a874)),x41943),f333(f333(f10(f890(x41941,a874),f890(x41942,a874),x41941),f287(x41941,x41942,x41944)),f333(f333(f9(x41941,f890(x41941,a874),f890(x41941,a874)),f311(x41941)),f194(f890(x41941,a874))))),f333(f287(x41941,x41942,x41944),x41943))
% 163.20/162.96 [4289]E(f333(f333(f115(f890(x42891,a874)),f333(f333(f115(f890(x42891,a874)),f333(f333(f106(f890(x42891,a874)),x42892),x42893)),f333(f333(f106(f890(x42891,a874)),x42893),x42894))),f333(f333(f106(f890(x42891,a874)),x42894),x42892)),f333(f333(f106(f890(x42891,a874)),f333(f333(f106(f890(x42891,a874)),f333(f333(f115(f890(x42891,a874)),x42892),x42893)),f333(f333(f115(f890(x42891,a874)),x42893),x42894))),f333(f333(f115(f890(x42891,a874)),x42894),x42892)))
% 163.20/162.96 [4351]E(f333(f143(f881(x43511),f881(x43511),f127(x43511),f118(x43511)),f333(f333(f155(x43512,f881(x43511)),f333(f333(f9(x43512,f881(x43511),f881(x43511)),f333(f333(f10(x43511,f890(f881(x43511),f881(x43511)),x43512),f152(x43511)),x43513)),f118(x43511))),x43514)),f333(f333(f155(x43512,x43511),x43513),x43514))
% 163.20/162.96 [4367]E(f333(f333(f89(a1,x43671),f333(f108(a1),f333(f333(f81(a1),x43672),a102))),f333(f333(f20(a1,x43671,x43671),f333(f333(f9(a1,x43671,f890(x43671,x43671)),f333(f333(f10(a874,f890(x43671,f890(x43671,x43671)),a1),f101(x43671)),a200)),x43673)),f333(f333(f10(a880,x43671,a1),x43674),a109))),f191(x43671,x43673,x43674,f333(f108(a880),x43672)))
% 163.20/162.96 [4585]~P24(f333(f333(f194(f890(x45851,f890(x45852,a874))),x45853),x45854))
% 163.20/162.96 [3842]E(f333(f333(f166(x38421),f333(f333(f127(x38421),x38422),x38423)),f333(f333(f81(a880),f333(f195(f881(x38421)),x38422)),x38424)),f333(f333(f166(x38421),x38423),x38424))
% 163.20/162.96 [3848]E(f333(f333(f139(x38481),x38482),f333(f333(f174(x38481),f333(f333(f81(a880),x38483),x38482)),x38484)),f333(f333(f174(x38481),x38483),f333(f333(f139(x38481),x38482),x38484)))
% 163.20/162.96 [3947]E(f333(f333(f115(f890(x39471,a874)),f333(f259(x39472,x39471),x39473)),f333(f259(x39472,x39471),x39474)),f333(f259(x39472,x39471),f333(f333(f115(f890(f889(x39472,x39471),a874)),x39473),x39474)))
% 163.20/162.96 [3948]E(f333(f333(f115(f890(x39481,a874)),f333(f261(x39481,x39482),x39483)),f333(f261(x39481,x39482),x39484)),f333(f261(x39481,x39482),f333(f333(f115(f890(f889(x39481,x39482),a874)),x39483),x39484)))
% 163.20/162.96 [3952]E(f333(f333(f115(f890(x39521,a874)),f333(f333(f115(f890(x39521,a874)),x39522),x39523)),x39524),f333(f333(f115(f890(x39521,a874)),x39522),f333(f333(f115(f890(x39521,a874)),x39523),x39524)))
% 163.20/162.96 [3953]E(f333(f333(f3(f890(x39531,a874)),f333(f333(f106(f890(x39531,a874)),x39532),x39533)),x39534),f333(f333(f106(f890(x39531,a874)),x39532),f333(f333(f3(f890(x39531,a874)),x39533),x39534)))
% 163.20/162.96 [3954]E(f333(f333(f106(f890(x39541,a874)),f333(f333(f106(f890(x39541,a874)),x39542),x39543)),x39544),f333(f333(f106(f890(x39541,a874)),x39542),f333(f333(f106(f890(x39541,a874)),x39543),x39544)))
% 163.20/162.96 [3994]E(f333(f333(f115(f890(f889(x39941,x39942),a874)),f333(f288(x39942,x39941),x39943)),f333(f288(x39942,x39941),x39944)),f333(f288(x39942,x39941),f333(f333(f115(f890(f889(x39942,x39941),a874)),x39943),x39944)))
% 163.20/162.96 [3995]E(f333(f333(f106(f890(f889(x39951,x39952),a874)),f333(f288(x39952,x39951),x39953)),f333(f288(x39952,x39951),x39954)),f333(f288(x39952,x39951),f333(f333(f106(f890(f889(x39952,x39951),a874)),x39953),x39954)))
% 163.20/162.96 [4062]E(f333(f333(f106(f890(x40621,a874)),f333(f333(f115(f890(x40621,a874)),x40622),x40623)),f333(f333(f115(f890(x40621,a874)),x40624),x40623)),f333(f333(f115(f890(x40621,a874)),f333(f333(f106(f890(x40621,a874)),x40622),x40624)),x40623))
% 163.20/162.96 [4063]E(f333(f333(f115(f890(x40631,a874)),f333(f333(f3(f890(x40631,a874)),x40632),x40633)),f333(f333(f3(f890(x40631,a874)),x40634),x40633)),f333(f333(f3(f890(x40631,a874)),f333(f333(f115(f890(x40631,a874)),x40632),x40634)),x40633))
% 163.20/162.96 [4064]E(f333(f333(f115(f890(x40641,a874)),f333(f333(f106(f890(x40641,a874)),x40642),x40643)),f333(f333(f106(f890(x40641,a874)),x40644),x40643)),f333(f333(f106(f890(x40641,a874)),f333(f333(f115(f890(x40641,a874)),x40642),x40644)),x40643))
% 163.20/162.96 [4065]E(f333(f333(f3(f890(x40651,a874)),f333(f333(f106(f890(x40651,a874)),x40652),x40653)),f333(f333(f106(f890(x40651,a874)),x40654),x40653)),f333(f333(f106(f890(x40651,a874)),f333(f333(f3(f890(x40651,a874)),x40652),x40654)),x40653))
% 163.20/162.96 [4066]E(f333(f333(f3(f890(x40661,a874)),f333(f333(f106(f890(x40661,a874)),x40662),x40663)),f333(f333(f106(f890(x40661,a874)),x40664),x40663)),f333(f333(f3(f890(x40661,a874)),f333(f333(f106(f890(x40661,a874)),x40662),x40663)),x40664))
% 163.20/162.96 [4077]E(f333(f333(f3(f890(x40771,a874)),f333(f333(f3(f890(x40771,a874)),x40772),f333(f333(f311(x40771),x40773),f194(f890(x40771,a874))))),x40774),f333(f333(f3(f890(x40771,a874)),x40772),f333(f333(f311(x40771),x40773),x40774)))
% 163.20/162.96 [4130]E(f333(f333(f115(f890(x41301,a874)),f333(f333(f311(x41301),x41302),f333(f333(f311(x41301),x41303),f194(f890(x41301,a874))))),f333(f286(x41301),x41304)),f333(f286(x41301),f333(f333(f311(f889(x41301,x41301)),f333(f333(f263(x41301,x41301),x41302),x41303)),x41304)))
% 163.20/162.96 [4156]E(f333(f333(f44(a880,f890(x41561,a874)),f333(f302(a880),x41562)),f333(f333(f10(a880,f890(x41561,a874),a880),x41563),f333(f333(f9(a880,a880,a880),f81(a880)),x41564))),f333(f333(f44(a880,f890(x41561,a874)),f304(a880,x41564,f333(f333(f81(a880),x41562),x41564))),x41563))
% 163.20/162.96 [4157]E(f176(x41571,f333(f287(x41571,x41571,x41572),f333(f333(f311(x41571),x41573),f194(f890(x41571,a874)))),f333(f287(f881(x41571),f881(x41571),f159(x41571,x41572)),f333(f333(f311(f881(x41571)),x41574),f194(f890(f881(x41571),a874))))),f333(f287(f881(x41571),f881(x41571),f159(x41571,x41572)),f333(f333(f311(f881(x41571)),f333(f333(f152(x41571),x41573),x41574)),f194(f890(f881(x41571),a874)))))
% 163.20/162.96 [4225]E(f333(f178(x42251,x42252),f333(f333(f155(x42251,f889(x42251,x42252)),f333(f333(f20(x42251,x42252,f889(x42251,x42252)),f263(x42251,x42252)),x42253)),x42254)),f188(x42251,x42252,f333(f74(x42252,f884(x42252),x42251,f242(x42252)),x42253),f333(f173(x42251),x42254)))
% 163.20/162.96 [4231]E(f333(f255(x42311),f333(f333(f9(x42311,f890(x42312,a874),a874),f333(f333(f10(x42312,f890(f890(x42312,a874),a874),x42311),f335(x42312)),x42313)),x42314)),f333(f313(x42311,x42312,x42313),x42314))
% 163.20/162.96 [4319]E(f333(f255(x43191),f333(f333(f9(x43191,f890(f889(x43192,x43191),a874),a874),f333(f333(f10(f889(x43192,x43191),f890(f890(f889(x43192,x43191),a874),a874),x43191),f335(f889(x43192,x43191))),f333(f263(x43192,x43191),x43193))),x43194)),f333(f287(x43192,x43191,x43194),f333(f333(f311(x43192),x43193),f194(f890(x43192,a874)))))
% 163.20/162.96 [4335]E(f333(f333(f155(f889(x43351,a880),x43351),f262(x43351,a880)),f333(f137(f889(x43351,a880),f333(f333(f10(a880,a874,f889(x43351,a880)),x43352),f333(f333(f10(a880,a880,f889(x43351,a880)),a117),f271(x43351,a880)))),f333(f333(f182(x43351,a880),x43353),x43354))),f333(f333(f155(f889(x43351,a880),x43351),f262(x43351,a880)),f333(f137(f889(x43351,a880),f333(f333(f10(a880,a874,f889(x43351,a880)),x43352),f271(x43351,a880))),f333(f333(f182(x43351,a880),x43353),f333(f333(f155(a880,a880),a117),x43354)))))
% 163.20/162.96 [4343]P24(f333(f333(f250(f890(f890(x43431,a874),a874)),f333(f333(f44(x43432,f890(f890(x43431,a874),a874)),x43433),f333(f333(f10(f890(x43431,a874),f890(f890(x43431,a874),a874),x43432),f310(x43431)),x43434))),f333(f310(x43431),f333(f333(f44(x43432,f890(x43431,a874)),x43433),x43434))))
% 163.20/162.96 [4389]E(f333(f333(f89(a1,x43891),f333(f108(a1),f333(f333(f81(a1),x43892),a102))),f333(f333(f20(a1,x43891,x43891),f333(f333(f9(a1,x43891,f890(x43891,x43891)),f333(f333(f10(a874,f890(x43891,f890(x43891,x43891)),a1),f101(x43891)),a200)),x43893)),f333(f333(f20(a1,x43891,x43891),f333(f333(f10(a880,f890(x43891,x43891),a1),x43894),a109)),f333(f333(f10(a880,x43891,a1),f190(x43891,x43893,x43894)),a109)))),f333(f190(x43891,x43893,x43894),f333(f108(a880),x43892)))
% 163.20/162.96 [4392]E(f333(f333(f155(x43921,x43922),f333(f74(f884(x43922),x43922,x43921,f246(x43922)),x43923)),f333(f137(x43921,f333(f333(f10(a874,a874,x43921),a328),f333(f333(f9(x43921,f884(x43922),a874),f333(f333(f10(f884(x43922),f890(f884(x43922),a874),x43921),a330),x43923)),f197(x43922)))),x43924)),f164(x43921,x43922,x43923,x43924))
% 163.20/162.96 [4421]E(f333(f255(f889(x44211,x44212)),f333(f272(x44211,x44212,a874),f333(f333(f9(x44211,f890(x44212,a874),f890(x44212,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x44212,a874),f890(x44212,a874)),x44211),f10(a874,a874,x44212)),f333(f333(f10(a874,f890(a874,a874),x44211),a331),f333(f333(f9(x44211,f890(x44211,a874),a874),f335(x44211)),x44213)))),f333(f333(f9(x44212,f890(x44212,a874),a874),f335(x44212)),x44214)))),f238(x44211,x44212,x44213,x44214))
% 163.20/162.96 [4459]E(f333(f333(f44(x44591,f890(f889(x44591,x44592),a874)),x44593),f333(f333(f20(x44591,f890(x44592,f890(f889(x44591,x44592),a874)),f890(f889(x44591,x44592),a874)),f333(f333(f10(f890(x44592,a874),f890(f890(x44592,f890(f889(x44591,x44592),a874)),f890(f889(x44591,x44592),a874)),x44591),f44(x44592,f890(f889(x44591,x44592),a874))),x44594)),f333(f333(f9(x44591,f890(f889(x44591,x44592),a874),f890(x44592,f890(f889(x44591,x44592),a874))),f333(f333(f10(f890(x44592,f890(f890(f889(x44591,x44592),a874),f890(f889(x44591,x44592),a874))),f890(f890(f889(x44591,x44592),a874),f890(x44592,f890(f889(x44591,x44592),a874))),x44591),f9(x44592,f890(f889(x44591,x44592),a874),f890(f889(x44591,x44592),a874))),f333(f333(f10(f890(x44592,f889(x44591,x44592)),f890(x44592,f890(f890(f889(x44591,x44592),a874),f890(f889(x44591,x44592),a874))),x44591),f333(f10(f889(x44591,x44592),f890(f890(f889(x44591,x44592),a874),f890(f889(x44591,x44592),a874)),x44592),f311(f889(x44591,x44592)))),f263(x44591,x44592)))),f194(f890(f889(x44591,x44592),a874))))),f333(f333(f270(x44591,x44592),x44593),x44594))
% 163.20/162.96 [4003]E(f333(f333(f127(x40031),f333(f333(f174(x40031),x40032),x40033)),f333(f333(f174(x40031),f333(f333(f3(a880),x40032),f333(f195(f881(x40031)),x40033))),x40034)),f333(f333(f174(x40031),x40032),f333(f333(f127(x40031),x40033),x40034)))
% 163.20/162.96 [4004]E(f333(f333(f127(x40041),f333(f333(f139(x40041),x40042),x40043)),f333(f333(f139(x40041),f333(f333(f3(a880),x40042),f333(f195(f881(x40041)),x40043))),x40044)),f333(f333(f139(x40041),x40042),f333(f333(f127(x40041),x40043),x40044)))
% 163.20/162.96 [4053]E(f333(f333(f81(a880),f333(f333(f82(a880),x40531),x40532)),f333(f333(f81(a880),f333(f333(f82(a880),x40533),x40532)),x40534)),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f81(a880),x40531),x40533)),x40532)),x40534))
% 163.20/162.96 [4252]P24(f333(f333(f250(f890(x42521,a874)),f333(f333(f3(f890(x42521,a874)),f333(f259(x42522,x42521),x42523)),f333(f259(x42522,x42521),x42524))),f333(f259(x42522,x42521),f333(f333(f3(f890(f889(x42522,x42521),a874)),x42523),x42524))))
% 163.20/162.96 [4253]P24(f333(f333(f250(f890(x42531,a874)),f333(f333(f3(f890(x42531,a874)),f333(f261(x42531,x42532),x42533)),f333(f261(x42531,x42532),x42534))),f333(f261(x42531,x42532),f333(f333(f3(f890(f889(x42531,x42532),a874)),x42533),x42534))))
% 163.20/162.96 [4369]E(f333(f333(f81(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x43691),x43692)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x43693),x43694)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),f333(f333(f81(a880),x43691),x43693)),f333(f333(f81(a880),x43692),x43694))),f194(f890(f889(a880,a880),a874))))))
% 163.20/162.96 [4416]E(f333(f333(f82(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x44161),x44162)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x44163),x44164)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),f333(f333(f81(a880),f333(f333(f82(a880),x44161),x44163)),f333(f333(f82(a880),x44162),x44164))),f333(f333(f81(a880),f333(f333(f82(a880),x44161),x44164)),f333(f333(f82(a880),x44162),x44163)))),f194(f890(f889(a880,a880),a874))))))
% 163.20/162.96 [4442]E(f333(f255(x44421),f333(f333(f10(f890(x44422,a874),a874,x44421),f88(x44422)),f333(f333(f10(f890(x44422,a874),f890(x44422,a874),x44421),f333(f20(x44422,a874,a874),f333(f333(f10(a874,f890(a874,a874),x44422),a336),f333(f333(f9(x44422,f890(x44422,a874),a874),f335(x44422)),x44423)))),f333(f333(f9(x44421,f890(x44422,f890(x44421,a874)),f890(x44422,a874)),f333(f333(f10(f890(f890(x44421,a874),a874),f890(f890(x44422,f890(x44421,a874)),f890(x44422,a874)),x44421),f10(f890(x44421,a874),a874,x44422)),f335(x44421))),x44424)))),f333(f333(f43(x44422,f890(x44421,a874)),x44423),x44424))
% 163.20/162.96 [4474]E(f333(f333(f290(x44741,x44741,x44741),f333(f333(f311(f889(x44741,x44741)),f333(f333(f263(x44741,x44741),x44742),x44743)),x44744)),f309(x44741,f333(f333(f311(f889(x44741,x44741)),f333(f333(f263(x44741,x44741),x44742),x44743)),x44744))),f333(f333(f115(f890(f889(x44741,x44741),a874)),f333(f333(f290(x44741,x44741,x44741),x44744),f309(x44741,x44744))),f333(f255(f889(x44741,x44741)),f333(f272(x44741,x44741,a874),f333(f333(f9(x44741,f890(x44741,a874),f890(x44741,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x44741,a874),f890(x44741,a874)),x44741),f10(a874,a874,x44741)),f333(f333(f10(a874,f890(a874,a874),x44741),a331),f333(f333(f9(x44741,f890(f889(x44741,x44741),a874),a874),f333(f333(f10(f889(x44741,x44741),f890(f890(f889(x44741,x44741),a874),a874),x44741),f335(f889(x44741,x44741))),f333(f333(f9(x44741,x44741,f889(x44741,x44741)),f263(x44741,x44741)),x44742))),f309(x44741,x44744))))),f333(f333(f9(x44741,f890(f889(x44741,x44741),a874),a874),f333(f333(f10(f889(x44741,x44741),f890(f890(f889(x44741,x44741),a874),a874),x44741),f335(f889(x44741,x44741))),f333(f263(x44741,x44741),x44743))),f309(x44741,x44744)))))))
% 163.20/162.96 [4254]E(f333(f137(x42541,f333(f333(f20(x42541,a874,a874),f333(f333(f10(a874,f890(a874,a874),x42541),a331),x42542)),x42543)),x42544),f333(f137(x42541,x42543),f333(f137(x42541,x42542),x42544)))
% 163.20/162.96 [4363]E(f333(f333(f127(x43631),f333(f333(f333(f101(f881(x43631)),f333(f333(f335(a880),f2(a880)),x43632)),f333(f333(f152(x43631),x43633),f118(x43631))),f118(x43631))),f175(x43631,x43634,f333(f255(a880),f333(f333(f9(a880,f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),a880),f335(a880)),a117)),x43632)))),f175(x43631,f333(f333(f152(x43631),x43633),x43634),x43632))
% 163.20/162.96 [4468]E(f333(f255(f889(x44681,x44682)),f333(f333(f10(f890(a880,a874),a874,f889(x44681,x44682)),f87(a880)),f333(f333(f9(f889(x44681,x44682),f890(a880,a874),f890(a880,a874)),f333(f333(f10(f890(a880,f890(a874,a874)),f890(f890(a880,a874),f890(a880,a874)),f889(x44681,x44682)),f20(a880,a874,a874)),f333(f333(f10(f890(a880,a874),f890(a880,f890(a874,a874)),f889(x44681,x44682)),f333(f10(a874,f890(a874,a874),a880),a331)),f333(f333(f9(f889(x44681,x44682),f890(a880,f889(x44681,x44682)),f890(a880,a874)),f333(f333(f10(f890(f889(x44681,x44682),a874),f890(f890(a880,f889(x44681,x44682)),f890(a880,a874)),f889(x44681,x44682)),f10(f889(x44681,x44682),a874,a880)),a330)),f333(f333(f20(a880,x44682,f889(x44681,x44682)),f333(f333(f10(x44681,f890(x44682,f889(x44681,x44682)),a880),f263(x44681,x44682)),f333(f166(x44681),x44683))),f333(f166(x44682),x44684)))))),f333(f333(f9(a880,a880,a874),f251(a880)),f333(f333(f248(a880),f333(f195(f881(x44681)),x44683)),f333(f195(f881(x44682)),x44684)))))),f333(f173(f889(x44681,x44682)),f333(f333(f182(x44681,x44682),x44683),x44684)))
% 163.20/162.96 [4382]E(f333(f255(f889(x43821,x43822)),f333(f272(x43821,x43822,a874),f333(f333(f9(x43821,f890(x43822,a874),f890(x43822,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x43822,a874),f890(x43822,a874)),x43821),f10(a874,a874,x43822)),f333(f333(f10(a874,f890(a874,a874),x43821),a331),x43823))),x43824))),f333(f333(f270(x43821,x43822),f333(f255(x43821),x43823)),f333(f18(f890(x43822,a874),x43821),f333(f255(x43822),x43824))))
% 163.20/162.96 [4385]E(f333(f255(f889(x43851,x43852)),f333(f272(x43851,x43852,a874),f333(f333(f20(x43851,f890(x43852,a874),f890(x43852,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x43852,a874),f890(x43852,a874)),x43851),f10(a874,a874,x43852)),f333(f333(f10(a874,f890(a874,a874),x43851),a331),x43853))),x43854))),f333(f333(f270(x43851,x43852),f333(f255(x43851),x43853)),f333(f333(f10(f890(x43852,a874),f890(x43852,a874),x43851),f255(x43852)),x43854)))
% 163.20/162.96 [4399]E(f333(f255(x43991),f333(f333(f10(f890(x43992,a874),a874,x43991),f88(x43992)),f333(f333(f10(f890(x43992,a874),f890(x43992,a874),x43991),f333(f20(x43992,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43992),a336),f333(f333(f9(x43992,f890(x43992,a874),a874),f335(x43992)),x43993)))),x43994))),f333(f333(f43(x43992,f890(x43991,a874)),x43993),f333(f333(f10(f890(x43991,a874),f890(x43991,a874),x43992),f255(x43991)),f333(f9(x43991,x43992,a874),x43994))))
% 163.20/162.96 [4454]E(f333(f333(f155(f889(x44541,a880),x44541),f262(x44541,a880)),f333(f137(f889(x44541,a880),f333(f333(f9(f889(x44541,a880),f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),f889(x44541,a880)),f335(a880)),f271(x44541,a880))),x44542)),f333(f333(f182(x44541,a880),x44543),f140(a880,f333(f303(a880,x44544),f333(f333(f81(a880),x44544),f333(f195(f881(x44541)),x44543))))))),f333(f333(f155(f889(x44541,a880),x44541),f262(x44541,a880)),f333(f137(f889(x44541,a880),f333(f333(f9(f889(x44541,a880),f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),f889(x44541,a880)),f335(a880)),f333(f333(f9(f889(x44541,a880),a880,a880),f333(f333(f10(a880,f890(a880,a880),f889(x44541,a880)),f81(a880)),f271(x44541,a880))),x44544))),x44542)),f333(f333(f182(x44541,a880),x44543),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(x44541)),x44543)))))))
% 163.20/162.96 [4455]E(f333(a117,f333(f333(f249(a880),f333(f195(f881(x44551)),x44552)),f333(f143(a880,f881(x44553),f333(f9(f881(x44553),a880,a880),f333(f333(f10(a880,f890(a880,a880),f881(x44553)),f249(a880)),f333(f333(f9(f881(x44553),a880,a880),f333(f333(f10(a880,f890(a880,a880),f881(x44553)),f3(a880)),f195(f881(x44553)))),f333(a117,f2(a880))))),f2(a880)),f333(f170(f881(x44553)),f333(f137(f881(x44553),f333(f333(f10(a874,a874,f881(x44553)),a328),f333(f333(f9(f881(x44553),f881(x44553),a874),a330),f118(x44553)))),x44554))))),f333(f333(f249(a880),f333(a117,f333(f195(f881(x44551)),x44552))),f333(f143(a880,f881(x44553),f333(f9(f881(x44553),a880,a880),f333(f333(f10(a880,f890(a880,a880),f881(x44553)),f249(a880)),f195(f881(x44553)))),f2(a880)),f333(f170(f881(x44553)),x44554))))
% 163.20/162.96 [4398]E(f333(f333(f127(x43981),f175(x43981,x43982,x43983)),f175(x43981,x43984,f333(f255(a880),f333(f333(f9(a880,f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),a880),f335(a880)),f333(f333(f9(a880,a880,a880),f81(a880)),f333(f195(f881(x43981)),x43982)))),x43983)))),f175(x43981,f333(f333(f127(x43981),x43982),x43984),x43983))
% 163.20/162.96 [4461]E(f333(f333(f152(f881(x44611)),f333(f333(f152(x44611),x44612),f333(f143(f881(x44611),f881(x44611),f127(x44611),f118(x44611)),f333(f333(f155(f881(x44611),f881(x44611)),f157(f881(x44611),x44611,f118(x44611),f333(f333(f10(f881(x44611),f890(f881(x44611),f881(x44611)),x44611),f18(f881(x44611),f881(x44611))),f333(f333(f9(x44611,f881(x44611),f881(x44611)),f152(x44611)),f118(x44611))))),x44613)))),f180(x44611,f333(f333(f152(f881(x44611)),x44614),f333(f143(f881(f881(x44611)),f881(f881(x44611)),f127(f881(x44611)),f118(f881(x44611))),f333(f333(f155(f881(x44611),f881(f881(x44611))),f157(f881(f881(x44611)),x44611,f118(f881(x44611)),f333(f18(f890(f881(x44611),f881(f881(x44611))),x44611),f333(f333(f9(f881(x44611),f881(f881(x44611)),f881(f881(x44611))),f152(f881(x44611))),f118(f881(x44611)))))),x44613))))),f180(x44611,f333(f333(f152(f881(x44611)),f333(f333(f152(x44611),x44612),x44614)),x44613)))
% 163.20/162.96 [4469]E(f333(f255(f889(x44691,x44691)),f333(f272(x44691,x44691,a874),f333(f333(f9(x44691,f890(f889(x44692,x44692),a874),f890(x44691,a874)),f333(f333(f10(f890(x44691,f890(f890(f889(x44692,x44692),a874),a874)),f890(f890(f889(x44692,x44692),a874),f890(x44691,a874)),x44691),f9(x44691,f890(f889(x44692,x44692),a874),a874)),f333(f333(f10(f890(x44691,f889(x44692,x44692)),f890(x44691,f890(f890(f889(x44692,x44692),a874),a874)),x44691),f333(f10(f889(x44692,x44692),f890(f890(f889(x44692,x44692),a874),a874),x44691),f335(f889(x44692,x44692)))),f333(f333(f9(x44691,f890(x44691,x44692),f890(x44691,f889(x44692,x44692))),f333(f333(f10(f890(x44692,f889(x44692,x44692)),f890(f890(x44691,x44692),f890(x44691,f889(x44692,x44692))),x44691),f10(x44692,f889(x44692,x44692),x44691)),f333(f333(f10(x44692,f890(x44692,f889(x44692,x44692)),x44691),f263(x44692,x44692)),x44693))),x44693)))),x44694))),f333(f333(f289(x44692,x44691),x44694),x44693))
% 163.20/162.96 [4530]~E(f34(x45301,x45302),f29(x45303,x45304,x45305))
% 163.20/162.96 [4531]~E(f34(x45311,x45312),f31(x45313,x45314,x45315))
% 163.20/162.96 [4532]~E(f34(x45321,x45322),f30(x45323,x45324,x45325))
% 163.20/162.96 [4533]~E(f33(x45331,x45332),f29(x45333,x45334,x45335))
% 163.20/162.96 [4534]~E(f33(x45341,x45342),f31(x45343,x45344,x45345))
% 163.20/162.96 [4535]~E(f33(x45351,x45352),f30(x45353,x45354,x45355))
% 163.20/162.96 [4536]~E(f29(x45361,x45362,x45363),f34(x45364,x45365))
% 163.20/162.96 [4537]~E(f29(x45371,x45372,x45373),f33(x45374,x45375))
% 163.20/162.96 [4538]~E(f31(x45381,x45382,x45383),f34(x45384,x45385))
% 163.20/162.96 [4539]~E(f31(x45391,x45392,x45393),f33(x45394,x45395))
% 163.20/162.96 [4540]~E(f30(x45401,x45402,x45403),f34(x45404,x45405))
% 163.20/162.96 [4541]~E(f30(x45411,x45412,x45413),f33(x45414,x45415))
% 163.20/162.96 [3945]E(f333(f185(x39451,x39452,x39453,x39454),x39455),f333(f244(f884(x39452),x39452,f333(x39453,x39455),f242(x39452)),f333(x39454,x39455)))
% 163.20/162.96 [4029]E(f185(x40291,x40292,f185(x40291,x40292,x40293,x40294),x40295),f185(x40291,x40292,x40293,f185(x40291,x40292,x40294,x40295)))
% 163.20/162.96 [4207]E(f333(f333(f115(f890(x42071,a874)),f333(f173(x42071),f333(f333(f174(x42071),f333(f195(f881(x42072)),x42073)),x42074))),f184(x42071,x42072,x42075)),f184(x42071,x42072,f187(x42071,x42072,x42075,x42074,x42073)))
% 163.20/162.96 [3777]E(f333(f333(f272(x37771,x37772,x37773),x37774),x37775),f333(f333(x37774,f333(f262(x37771,x37772),x37775)),f333(f271(x37771,x37772),x37775)))
% 163.20/162.96 [3801]E(f333(f244(x38011,x38012,x38013,x38014),f333(f242(x38012),x38015)),f333(x38014,x38015))
% 163.20/162.96 [3811]E(f333(f333(f333(f67(x38111,x38112,x38113),x38114),x38115),f194(f890(x38112,a874))),x38115)
% 163.20/162.96 [3976]E(f245(x39761,x39762,x39763,x39764,f333(f242(x39762),x39765)),f333(x39764,x39765))
% 163.20/162.96 [4083]E(f333(f74(f884(x40831),f884(x40832),f884(x40833),f333(f208(x40831,x40832),x40834)),f333(f208(x40833,x40831),x40835)),f333(f208(x40833,x40832),f333(f74(x40831,x40832,x40833,x40834),x40835)))
% 163.20/162.96 [4085]E(f333(f74(f881(x40851),f881(x40852),f881(x40853),f333(f155(x40851,x40852),x40854)),f333(f155(x40853,x40851),x40855)),f333(f155(x40853,x40852),f333(f74(x40851,x40852,x40853,x40854),x40855)))
% 163.20/162.96 [4138]E(f333(f244(x41381,f889(x41382,f882(x41382)),x41383,f333(f272(x41382,f882(x41382),x41381),x41384)),f333(f134(x41382),x41385)),f132(x41381,x41382,x41383,x41384,x41385))
% 163.20/162.96 [4158]E(f86(x41581,f68(x41582,x41581,x41583,x41584,x41585)),f333(f333(f66(x41582,x41581,x41583),x41584),x41585))
% 163.20/162.96 [4195]E(f333(f333(f81(a880),f333(f333(f81(a880),f333(x41951,f333(f262(x41952,x41953),x41954))),f333(x41955,f333(f271(x41952,x41953),x41954)))),f333(a117,f2(a880))),f276(x41952,x41953,x41951,x41955,x41954))
% 163.20/162.96 [4394]E(f164(x43941,x43942,f333(f333(f9(x43941,f884(x43942),f884(x43942)),f333(f333(f20(x43941,f884(x43942),f890(f884(x43942),f884(x43942))),f333(f333(f10(a874,f890(f884(x43942),f890(f884(x43942),f884(x43942))),x43941),f101(f884(x43942))),x43943)),f333(f333(f10(x43942,f884(x43942),x43941),f242(x43942)),x43944))),f197(x43942)),x43945),f333(f333(f155(x43941,x43942),x43944),f333(f137(x43941,x43943),x43945)))
% 163.20/162.96 [4578]~E(f333(f333(f333(f73(x45781,f884(x45782)),x45783),x45784),f333(f242(x45782),x45785)),f333(f18(f884(x45782),x45781),f197(x45782)))
% 163.20/162.96 [3715]E(f333(f333(f174(x37151),x37152),f333(f333(f155(x37153,x37151),x37154),x37155)),f333(f333(f155(x37153,x37151),x37154),f333(f333(f174(x37153),x37152),x37155)))
% 163.20/162.96 [3716]E(f333(f333(f139(x37161),x37162),f333(f333(f155(x37163,x37161),x37164),x37165)),f333(f333(f155(x37163,x37161),x37164),f333(f333(f139(x37163),x37162),x37165)))
% 163.20/162.96 [3741]E(f333(f333(f155(x37411,x37412),x37413),f333(f333(f152(x37411),x37414),x37415)),f333(f333(f152(x37412),f333(x37413,x37414)),f333(f333(f155(x37411,x37412),x37413),x37415)))
% 163.20/162.96 [3805]E(f333(f312(x38051,x38052,x38053),f333(f333(f311(x38051),x38054),x38055)),f333(f333(f311(x38052),f333(x38053,x38054)),f333(f312(x38051,x38052,x38053),x38055)))
% 163.20/162.96 [3868]E(f333(f333(f182(x38681,x38682),f333(f333(f174(x38681),x38683),x38684)),f333(f333(f174(x38682),x38683),x38685)),f333(f333(f174(f889(x38681,x38682)),x38683),f333(f333(f182(x38681,x38682),x38684),x38685)))
% 163.20/162.96 [3869]E(f333(f333(f182(x38691,x38692),f333(f333(f139(x38691),x38693),x38694)),f333(f333(f139(x38692),x38693),x38695)),f333(f333(f139(f889(x38691,x38692)),x38693),f333(f333(f182(x38691,x38692),x38694),x38695)))
% 163.20/162.96 [3878]E(f333(f333(f160(x38781,f333(f333(f152(x38781),x38782),x38783)),f333(a117,x38784)),x38785),f333(f333(f152(x38781),x38782),f333(f333(f160(x38781,x38783),x38784),x38785)))
% 163.20/162.96 [3880]E(f333(f244(f884(x38801),x38802,f197(x38801),x38803),f333(f333(f18(f884(x38802),x38804),f197(x38802)),x38805)),f197(x38801))
% 163.20/162.96 [3882]E(f333(f333(f127(x38821),f333(f333(f155(x38822,x38821),x38823),x38824)),f333(f333(f155(x38822,x38821),x38823),x38825)),f333(f333(f155(x38822,x38821),x38823),f333(f333(f127(x38822),x38824),x38825)))
% 163.20/162.96 [3886]E(f333(f333(x38861,x38862),f333(f333(f265(x38863,x38864,x38861),x38862),x38865)),f333(f333(f265(x38863,x38864,x38861),x38862),f333(a117,x38865)))
% 163.20/162.96 [3915]E(f165(x39151,x39152,x39153,f333(f333(f152(x39151),x39154),x39155)),f333(f333(f127(x39152),f333(x39153,x39154)),f165(x39151,x39152,x39153,x39155)))
% 163.20/162.96 [3927]E(f333(f333(f290(x39271,x39272,x39273),f333(f288(x39272,x39271),x39274)),f333(f288(x39273,x39272),x39275)),f333(f288(x39273,x39271),f333(f333(f290(x39273,x39272,x39271),x39275),x39274)))
% 163.20/162.96 [3962]E(f333(f333(f333(f189(f881(x39621),f881(x39621)),x39622),f169(x39621)),f333(f333(f155(x39623,x39621),x39624),x39625)),f333(f333(f155(x39623,x39621),x39624),f333(f333(f333(f189(f881(x39623),f881(x39623)),x39622),f169(x39623)),x39625)))
% 163.20/162.96 [3963]E(f333(f333(f274(x39631,x39632,x39631,x39633),f333(f263(x39632,x39631),x39634)),x39635),f333(x39635,x39634))
% 163.20/162.96 [3990]E(f156(x39901,x39902,f333(f333(f155(x39903,x39901),x39904),x39905)),f156(x39903,f333(f74(x39901,a880,x39903,x39902),x39904),x39905))
% 163.20/162.96 [4051]E(f333(f333(f74(f884(x40511),f884(x40512),x40513,f333(f208(x40511,x40512),x40514)),f333(f18(f884(x40511),x40513),f197(x40511))),x40515),f197(x40512))
% 163.20/162.96 [4052]E(f177(f889(x40521,x40522),f333(f74(x40522,a874,f889(x40521,x40522),x40523),f271(x40521,x40522)),f333(f333(f182(x40521,x40522),x40524),x40525)),f333(f333(f182(x40521,x40522),x40524),f177(x40522,x40523,x40525)))
% 163.20/162.96 [4057]E(f333(f312(x40571,x40572,f333(f333(f10(x40573,x40572,x40571),x40574),x40575)),f258(f890(x40571,a874))),f333(f312(x40573,x40572,x40574),f333(f312(x40571,x40573,x40575),f258(f890(x40571,a874)))))
% 163.20/162.96 [4068]E(f177(f889(x40681,x40682),f333(f74(x40681,a874,f889(x40681,x40682),x40683),f262(x40681,x40682)),f333(f333(f182(x40681,x40682),x40684),x40685)),f333(f333(f182(x40681,x40682),f177(x40681,x40683,x40684)),x40685))
% 163.20/162.96 [4090]E(f333(f333(f115(f890(x40901,a874)),f333(f313(x40901,x40902,x40903),f333(f333(f311(x40902),x40904),f194(f890(x40902,a874))))),f333(f313(x40901,x40902,x40903),x40905)),f333(f313(x40901,x40902,x40903),f333(f333(f311(x40902),x40904),x40905)))
% 163.20/162.96 [4146]E(f333(f333(f127(f889(x41461,x41462)),f333(f333(f155(x41462,f889(x41461,x41462)),f333(f263(x41461,x41462),x41463)),x41464)),f61(x41461,x41462,x41465,x41464)),f61(x41461,x41462,f333(f333(f152(x41461),x41463),x41465),x41464))
% 163.20/162.96 [4147]E(f333(f333(f155(x41471,x41472),x41473),f177(x41471,f333(f74(x41472,a874,x41471,x41474),x41473),x41475)),f177(x41472,x41474,f333(f333(f155(x41471,x41472),x41473),x41475)))
% 163.20/162.96 [4153]E(f333(f143(x41531,x41532,f333(f9(x41532,x41531,x41531),f333(f9(x41531,x41532,x41531),x41533)),x41534),f333(f170(x41532),f333(f170(x41532),x41535))),f333(f143(x41531,x41532,x41533,x41534),x41535))
% 163.20/162.96 [4154]E(f333(f333(f333(f73(x41541,f884(x41542)),f188(x41541,x41542,x41543,x41544)),x41545),f333(x41543,x41545)),f188(x41541,x41542,x41543,f333(f333(f311(x41541),x41545),x41544)))
% 163.20/162.96 [4228]E(f333(f244(f881(x42281),x42281,f164(x42282,x42281,x42283,x42284),f333(f333(f9(x42281,f881(x42281),f881(x42281)),f152(x42281)),f164(x42282,x42281,x42283,x42284))),f333(x42283,x42285)),f164(x42282,x42281,x42283,f333(f333(f152(x42282),x42285),x42284)))
% 163.20/162.96 [4262]P24(f333(f333(f250(f890(x42621,a874)),f333(f312(x42622,x42621,x42623),f333(f333(f106(f890(x42622,a874)),x42624),x42625))),f333(f333(f106(f890(x42621,a874)),f333(f312(x42622,x42621,x42623),x42624)),f333(f312(x42622,x42621,x42623),x42625))))
% 163.20/162.96 [4263]P24(f333(f333(f250(f890(x42631,a874)),f333(f287(x42632,x42631,x42633),f333(f333(f106(f890(x42632,a874)),x42634),x42635))),f333(f333(f106(f890(x42631,a874)),f333(f287(x42632,x42631,x42633),x42634)),f333(f287(x42632,x42631,x42633),x42635))))
% 163.20/162.96 [4370]E(f333(f271(x43701,x43702),f333(f273(x43703,x43701,x43702,x43702,x43704,f35(x43702)),x43705)),f333(f271(x43703,x43702),x43705))
% 163.20/162.96 [4371]E(f333(f262(x43711,x43712),f333(f273(x43711,x43711,x43713,x43712,f35(x43711),x43714),x43715)),f333(f262(x43711,x43713),x43715))
% 163.20/162.96 [4465]E(f333(f143(f890(x44651,f884(x44652)),f889(x44651,x44652),f333(f333(f10(f890(x44651,f890(x44652,f890(x44651,f884(x44652)))),f890(f889(x44651,x44652),f890(x44651,f884(x44652))),f890(x44651,f884(x44652))),f272(x44651,x44652,f890(x44651,f884(x44652)))),f333(f333(f9(f890(x44651,f884(x44652)),f890(x44652,f884(x44652)),f890(x44651,f890(x44652,f890(x44651,f884(x44652))))),f333(f333(f10(f890(x44651,f890(f890(x44652,f884(x44652)),f890(x44652,f890(x44651,f884(x44652))))),f890(f890(x44652,f884(x44652)),f890(x44651,f890(x44652,f890(x44651,f884(x44652))))),f890(x44651,f884(x44652))),f9(x44651,f890(x44652,f884(x44652)),f890(x44652,f890(x44651,f884(x44652))))),f333(f333(f10(f890(x44651,f890(f884(x44652),f890(x44651,f884(x44652)))),f890(x44651,f890(f890(x44652,f884(x44652)),f890(x44652,f890(x44651,f884(x44652))))),f890(x44651,f884(x44652))),f333(f10(f890(f884(x44652),f890(x44651,f884(x44652))),f890(f890(x44652,f884(x44652)),f890(x44652,f890(x44651,f884(x44652)))),x44651),f10(f884(x44652),f890(x44651,f884(x44652)),x44652))),f73(x44651,f884(x44652))))),f242(x44652))),x44653),f333(f333(f182(x44651,x44652),x44654),x44655)),f187(x44651,x44652,x44653,x44654,x44655))
% 163.20/162.96 [4467]P20(x44671,x44672,f333(f333(f311(f879(x44671)),f333(f333(f333(f93(x44671),f333(f333(f9(x44671,f890(a876,a874),f890(a876,a874)),f333(f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),x44671),f20(a876,a874,a874)),f333(f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),x44671),f333(f10(a874,f890(a874,a874),a876),a331)),x44673))),f333(f333(f10(a874,a874,a876),a328),x44674))),f33(x44674,x44675)),x44673)),f194(f890(f879(x44671),a874))))
% 163.20/162.96 [3558]E(f333(f333(f333(f333(f214(x35581),x35582),x35583),x35584),x35585),f209(x35581,x35582))
% 163.20/162.96 [3559]E(f333(f333(f333(f333(f215(x35591),x35592),x35593),x35594),x35595),f199(x35591,x35592))
% 163.20/162.96 [3605]E(f98(x36051,x36052,f333(f333(f333(f93(x36051),x36053),x36054),x36055)),f2(a880))
% 163.20/162.96 [3699]E(f333(f333(f333(f333(f73(x36991,x36992),x36993),x36994),x36995),x36994),x36995)
% 163.20/162.96 [3916]E(f333(f333(f43(x39161,f890(x39162,a874)),f333(f333(f311(x39161),x39163),x39164)),x39165),f333(f333(f106(f890(x39162,a874)),f333(x39165,x39163)),f333(f333(f43(x39161,f890(x39162,a874)),x39164),x39165)))
% 163.20/162.96 [3917]E(f333(f333(f44(x39171,f890(x39172,a874)),f333(f333(f311(x39171),x39173),x39174)),x39175),f333(f333(f115(f890(x39172,a874)),f333(x39175,x39173)),f333(f333(f44(x39171,f890(x39172,a874)),x39174),x39175)))
% 163.20/162.96 [3970]E(f333(f123(x39701,x39702,f333(x39703,x39704)),f333(f333(f9(x39701,a104,f882(x39702)),x39705),x39704)),f333(f206(x39701,x39702,x39703,x39705),x39704))
% 163.20/162.96 [3983]E(f333(f333(f115(f890(x39831,a874)),f333(f313(x39831,x39832,x39833),x39834)),f333(f313(x39831,x39832,x39833),x39835)),f333(f313(x39831,x39832,x39833),f333(f333(f115(f890(x39832,a874)),x39834),x39835)))
% 163.20/162.96 [3984]E(f333(f333(f3(f890(x39841,a874)),f333(f313(x39841,x39842,x39843),x39844)),f333(f313(x39841,x39842,x39843),x39845)),f333(f313(x39841,x39842,x39843),f333(f333(f3(f890(x39842,a874)),x39844),x39845)))
% 163.20/162.96 [3985]E(f333(f333(f106(f890(x39851,a874)),f333(f313(x39851,x39852,x39853),x39854)),f333(f313(x39851,x39852,x39853),x39855)),f333(f313(x39851,x39852,x39853),f333(f333(f106(f890(x39852,a874)),x39854),x39855)))
% 163.20/162.96 [3986]E(f333(f333(f115(f890(x39861,a874)),f333(f312(x39862,x39861,x39863),x39864)),f333(f312(x39862,x39861,x39863),x39865)),f333(f312(x39862,x39861,x39863),f333(f333(f115(f890(x39862,a874)),x39864),x39865)))
% 163.20/162.96 [3987]E(f333(f333(f115(f890(x39871,a874)),f333(f287(x39872,x39871,x39873),x39874)),f333(f287(x39872,x39871,x39873),x39875)),f333(f287(x39872,x39871,x39873),f333(f333(f115(f890(x39872,a874)),x39874),x39875)))
% 163.20/162.96 [3989]E(f188(x39891,x39892,f188(x39891,x39892,x39893,x39894),x39895),f188(x39891,x39892,x39893,f333(f333(f106(f890(x39891,a874)),x39894),x39895)))
% 163.20/162.96 [4047]E(f333(f333(f160(x40471,f333(f333(f127(x40471),x40472),f333(f333(f152(x40471),x40473),x40474))),f333(f195(f881(x40471)),x40472)),x40475),f333(f333(f127(x40471),x40472),f333(f333(f152(x40471),x40475),x40474)))
% 163.20/162.96 [4055]E(f333(f333(f43(x40551,f890(x40552,a874)),x40553),f333(f333(f10(f890(x40552,a874),f890(x40552,a874),x40551),f333(f311(x40552),x40554)),x40555)),f333(f333(f311(x40552),x40554),f333(f333(f43(x40551,f890(x40552,a874)),x40553),x40555)))
% 163.20/162.96 [4123]E(f188(x41231,x41232,f333(f333(f333(f73(x41231,f884(x41232)),x41233),x41234),f333(f242(x41232),x41235)),f333(f80(f890(x41231,a874)),f333(f333(f311(x41231),x41234),f194(f890(x41231,a874))))),f188(x41231,x41232,x41233,f333(f80(f890(x41231,a874)),f333(f333(f311(x41231),x41234),f194(f890(x41231,a874))))))
% 163.20/162.96 [4212]E(f333(f333(f155(x42121,x42122),x42123),f333(f137(x42121,f333(f74(x42122,a874,x42121,x42124),x42123)),x42125)),f333(f137(x42122,x42124),f333(f333(f155(x42121,x42122),x42123),x42125)))
% 163.20/162.96 [4219]E(f333(f195(f881(x42191)),f333(f137(x42191,x42192),f333(f333(f155(x42193,x42191),x42194),x42195))),f333(f195(f881(x42193)),f333(f137(x42193,f333(f74(x42191,a874,x42193,x42192),x42194)),x42195)))
% 163.20/162.96 [4356]E(f333(f333(f115(f890(x43561,a874)),f333(f333(f3(f890(x43561,a874)),f184(x43561,x43562,x43563)),f333(f255(x43561),f333(f333(f9(x43561,f890(x43561,a874),a874),f335(x43561)),f333(f333(f3(f890(x43561,a874)),x43564),f184(x43561,x43562,x43565)))))),f333(f255(x43561),f333(f333(f9(x43561,f890(x43561,a874),a874),f335(x43561)),f333(f333(f106(f890(x43561,a874)),x43564),f184(x43561,x43562,x43565))))),f184(x43561,x43562,f77(x43561,f884(x43562),x43563,x43565,x43564)))
% 163.20/162.96 [4449]E(f333(f157(f881(f889(x44491,x44492)),x44492,f118(f889(x44491,x44492)),f333(f333(f9(x44492,f890(f881(x44492),f881(f889(x44491,x44492))),f890(f881(x44492),f881(f889(x44491,x44492)))),f333(f333(f10(f890(f881(f889(x44491,x44492)),f881(f889(x44491,x44492))),f890(f890(f881(x44492),f881(f889(x44491,x44492))),f890(f881(x44492),f881(f889(x44491,x44492)))),x44492),f10(f881(f889(x44491,x44492)),f881(f889(x44491,x44492)),f881(x44492))),f333(f333(f10(f889(x44491,x44492),f890(f881(f889(x44491,x44492)),f881(f889(x44491,x44492))),x44492),f152(f889(x44491,x44492))),f333(f263(x44491,x44492),x44493)))),f333(f182(x44491,x44492),x44494))),x44495),f333(f333(f182(x44491,x44492),f333(f333(f152(x44491),x44493),x44494)),x44495))
% 163.20/162.96 [3910]E(f333(f333(f160(x39101,f333(f333(f160(x39101,x39102),x39103),x39104)),x39103),x39105),f333(f333(f160(x39101,x39102),x39103),x39105))
% 163.20/162.96 [3964]E(f333(f259(x39641,x39642),f333(f333(f311(f889(x39641,x39642)),f333(f333(f263(x39641,x39642),x39643),x39644)),x39645)),f333(f333(f311(x39642),x39644),f333(f259(x39641,x39642),x39645)))
% 163.20/162.96 [3965]E(f333(f261(x39651,x39652),f333(f333(f311(f889(x39651,x39652)),f333(f333(f263(x39651,x39652),x39653),x39654)),x39655)),f333(f333(f311(x39651),x39653),f333(f261(x39651,x39652),x39655)))
% 163.20/162.96 [4011]E(f125(x40111,x40112,f333(x40113,x40114),f333(f333(f9(x40111,a104,f882(f884(x40112))),x40115),x40114)),f333(f204(x40111,x40112,x40113,x40115),x40114))
% 163.20/162.96 [4040]E(f333(f333(f115(f890(f889(x40401,x40402),a874)),f333(f333(f270(x40401,x40402),x40403),x40404)),f333(f333(f270(x40401,x40402),x40405),x40404)),f333(f333(f270(x40401,x40402),f333(f333(f115(f890(x40401,a874)),x40403),x40405)),x40404))
% 163.20/162.96 [4041]E(f333(f333(f3(f890(f889(x40411,x40412),a874)),f333(f333(f270(x40411,x40412),x40413),x40414)),f333(f333(f270(x40411,x40412),x40415),x40414)),f333(f333(f270(x40411,x40412),f333(f333(f3(f890(x40411,a874)),x40413),x40415)),x40414))
% 163.20/162.96 [4042]E(f333(f333(f106(f890(f889(x40421,x40422),a874)),f333(f333(f270(x40421,x40422),x40423),x40424)),f333(f333(f270(x40421,x40422),x40425),x40424)),f333(f333(f270(x40421,x40422),f333(f333(f106(f890(x40421,a874)),x40423),x40425)),x40424))
% 163.20/162.96 [4101]E(f333(f333(f106(f890(x41011,a874)),f333(f333(f43(x41012,f890(x41011,a874)),x41013),x41014)),f333(f333(f43(x41012,f890(x41011,a874)),x41015),x41014)),f333(f333(f43(x41012,f890(x41011,a874)),f333(f333(f115(f890(x41012,a874)),x41013),x41015)),x41014))
% 163.20/162.96 [4102]E(f333(f333(f115(f890(x41021,a874)),f333(f333(f44(x41022,f890(x41021,a874)),x41023),x41024)),f333(f333(f44(x41022,f890(x41021,a874)),x41025),x41024)),f333(f333(f44(x41022,f890(x41021,a874)),f333(f333(f115(f890(x41022,a874)),x41023),x41025)),x41024))
% 163.20/162.96 [4116]E(f333(f333(f43(x41161,f890(x41162,a874)),x41163),f333(f333(f10(f890(x41162,a874),f890(x41162,a874),x41161),f333(f115(f890(x41162,a874)),x41164)),x41165)),f333(f333(f115(f890(x41162,a874)),x41164),f333(f333(f43(x41161,f890(x41162,a874)),x41163),x41165)))
% 163.20/162.96 [4117]E(f333(f333(f44(x41171,f890(x41172,a874)),x41173),f333(f333(f10(f890(x41172,a874),f890(x41172,a874),x41171),f333(f3(f890(x41172,a874)),x41174)),x41175)),f333(f333(f3(f890(x41172,a874)),x41174),f333(f333(f43(x41171,f890(x41172,a874)),x41173),x41175)))
% 163.20/162.96 [4118]E(f333(f333(f44(x41181,f890(x41182,a874)),x41183),f333(f333(f10(f890(x41182,a874),f890(x41182,a874),x41181),f333(f106(f890(x41182,a874)),x41184)),x41185)),f333(f333(f106(f890(x41182,a874)),x41184),f333(f333(f44(x41181,f890(x41182,a874)),x41183),x41185)))
% 163.20/162.96 [4152]E(f185(x41521,x41522,x41523,f333(f178(x41521,x41522),f333(f170(f889(x41521,x41522)),f333(f333(f182(x41521,x41522),x41524),x41525)))),f187(x41521,x41522,x41523,x41524,x41525))
% 163.20/162.96 [4172]E(f191(f881(x41721),f333(f333(f152(x41721),x41722),x41723),f333(f333(f10(f881(x41721),f881(x41721),a880),f333(f152(x41721),x41724)),f333(f333(f9(a880,x41721,f881(x41721)),f160(x41721,x41723)),x41722)),x41725),f333(f333(f160(x41721,f333(f333(f152(x41721),x41724),x41723)),x41725),x41722))
% 163.20/162.96 [4176]E(f333(f333(f43(x41761,f890(f889(x41762,x41763),a874)),x41764),f333(f333(f10(f890(f889(x41763,x41762),a874),f890(f889(x41762,x41763),a874),x41761),f288(x41763,x41762)),x41765)),f333(f288(x41763,x41762),f333(f333(f43(x41761,f890(f889(x41763,x41762),a874)),x41764),x41765)))
% 163.20/162.96 [4177]E(f333(f333(f44(x41771,f890(f889(x41772,x41773),a874)),x41774),f333(f333(f10(f890(f889(x41773,x41772),a874),f890(f889(x41772,x41773),a874),x41771),f288(x41773,x41772)),x41775)),f333(f288(x41773,x41772),f333(f333(f44(x41771,f890(f889(x41773,x41772),a874)),x41774),x41775)))
% 163.20/162.96 [4237]E(f184(x42371,x42372,f333(f333(f20(x42371,f884(x42373),f884(x42372)),f333(f333(f10(f890(x42373,x42372),f890(f884(x42373),f884(x42372)),x42371),f208(x42373,x42372)),x42374)),x42375)),f184(x42371,x42373,x42375))
% 163.20/162.96 [4288]P24(f333(f333(f250(f890(x42881,a874)),f333(f333(f3(f890(x42881,a874)),f333(f312(x42882,x42881,x42883),x42884)),f333(f312(x42882,x42881,x42883),x42885))),f333(f312(x42882,x42881,x42883),f333(f333(f3(f890(x42882,a874)),x42884),x42885))))
% 163.20/162.96 [4453]E(f333(f157(f881(f889(x44531,x44532)),x44531,f118(f889(x44531,x44532)),f333(f333(f9(x44531,f890(f881(x44531),f881(f889(x44531,x44532))),f890(f881(x44531),f881(f889(x44531,x44532)))),f333(f333(f10(f890(f881(f889(x44531,x44532)),f881(f889(x44531,x44532))),f890(f890(f881(x44531),f881(f889(x44531,x44532))),f890(f881(x44531),f881(f889(x44531,x44532)))),x44531),f10(f881(f889(x44531,x44532)),f881(f889(x44531,x44532)),f881(x44531))),f333(f333(f10(f889(x44531,x44532),f890(f881(f889(x44531,x44532)),f881(f889(x44531,x44532))),x44531),f152(f889(x44531,x44532))),f333(f333(f9(x44531,x44532,f889(x44531,x44532)),f263(x44531,x44532)),x44533)))),f333(f333(f9(f881(x44531),f881(x44532),f881(f889(x44531,x44532))),f182(x44531,x44532)),x44534))),x44535),f333(f333(f182(x44531,x44532),x44535),f333(f333(f152(x44532),x44533),x44534)))
% 163.20/162.96 [4140]E(f333(f333(f115(f890(x41401,a874)),f333(f287(x41402,x41401,x41403),x41404)),f333(f287(x41402,x41401,x41405),x41404)),f333(f287(x41402,x41401,f333(f333(f115(f890(f889(x41402,x41401),a874)),x41403),x41405)),x41404))
% 163.20/162.96 [4179]E(f333(f333(f127(f889(x41791,x41792)),f333(f333(f182(x41791,x41792),x41793),f333(f333(f174(x41792),f333(f195(f881(x41791)),x41793)),x41794))),f333(f333(f182(x41791,x41792),x41795),f333(f333(f139(x41792),f333(f195(f881(x41791)),x41793)),x41794))),f333(f333(f182(x41791,x41792),f333(f333(f127(x41791),x41793),x41795)),x41794))
% 163.20/162.96 [4293]E(f333(f333(f270(x42931,x42932),x42933),f333(f333(f20(x42931,f890(x42932,a874),f890(x42932,a874)),f333(f333(f10(f890(x42932,a874),f890(f890(x42932,a874),f890(x42932,a874)),x42931),f115(f890(x42932,a874))),x42934)),x42935)),f333(f333(f115(f890(f889(x42931,x42932),a874)),f333(f333(f270(x42931,x42932),x42933),x42934)),f333(f333(f270(x42931,x42932),x42933),x42935)))
% 163.20/162.96 [4294]E(f333(f333(f270(x42941,x42942),x42943),f333(f333(f20(x42941,f890(x42942,a874),f890(x42942,a874)),f333(f333(f10(f890(x42942,a874),f890(f890(x42942,a874),f890(x42942,a874)),x42941),f3(f890(x42942,a874))),x42944)),x42945)),f333(f333(f3(f890(f889(x42941,x42942),a874)),f333(f333(f270(x42941,x42942),x42943),x42944)),f333(f333(f270(x42941,x42942),x42943),x42945)))
% 163.20/162.96 [4295]E(f333(f333(f270(x42951,x42952),x42953),f333(f333(f20(x42951,f890(x42952,a874),f890(x42952,a874)),f333(f333(f10(f890(x42952,a874),f890(f890(x42952,a874),f890(x42952,a874)),x42951),f106(f890(x42952,a874))),x42954)),x42955)),f333(f333(f106(f890(f889(x42951,x42952),a874)),f333(f333(f270(x42951,x42952),x42953),x42954)),f333(f333(f270(x42951,x42952),x42953),x42955)))
% 163.20/162.96 [4299]E(f333(f333(f43(x42991,f890(x42992,a874)),x42993),f333(f333(f9(x42991,f890(x42992,a874),f890(x42992,a874)),f333(f333(f10(f890(x42992,a874),f890(f890(x42992,a874),f890(x42992,a874)),x42991),f115(f890(x42992,a874))),x42994)),x42995)),f333(f333(f115(f890(x42992,a874)),f333(f333(f43(x42991,f890(x42992,a874)),x42993),x42994)),x42995))
% 163.20/162.96 [4300]E(f333(f333(f44(x43001,f890(x43002,a874)),x43003),f333(f333(f9(x43001,f890(x43002,a874),f890(x43002,a874)),f333(f333(f10(f890(x43002,a874),f890(f890(x43002,a874),f890(x43002,a874)),x43001),f3(f890(x43002,a874))),x43004)),x43005)),f333(f333(f3(f890(x43002,a874)),f333(f333(f44(x43001,f890(x43002,a874)),x43003),x43004)),x43005))
% 163.20/162.96 [4301]E(f333(f333(f44(x43011,f890(x43012,a874)),x43013),f333(f333(f9(x43011,f890(x43012,a874),f890(x43012,a874)),f333(f333(f10(f890(x43012,a874),f890(f890(x43012,a874),f890(x43012,a874)),x43011),f106(f890(x43012,a874))),x43014)),x43015)),f333(f333(f106(f890(x43012,a874)),f333(f333(f44(x43011,f890(x43012,a874)),x43013),x43014)),x43015))
% 163.20/162.96 [4305]E(f333(f333(f43(x43051,f890(x43052,a874)),x43053),f333(f333(f20(x43051,f890(x43052,a874),f890(x43052,a874)),f333(f333(f10(f890(x43052,a874),f890(f890(x43052,a874),f890(x43052,a874)),x43051),f106(f890(x43052,a874))),x43054)),x43055)),f333(f333(f106(f890(x43052,a874)),f333(f333(f43(x43051,f890(x43052,a874)),x43053),x43054)),f333(f333(f43(x43051,f890(x43052,a874)),x43053),x43055)))
% 163.20/162.96 [4306]E(f333(f333(f44(x43061,f890(x43062,a874)),x43063),f333(f333(f20(x43061,f890(x43062,a874),f890(x43062,a874)),f333(f333(f10(f890(x43062,a874),f890(f890(x43062,a874),f890(x43062,a874)),x43061),f115(f890(x43062,a874))),x43064)),x43065)),f333(f333(f115(f890(x43062,a874)),f333(f333(f44(x43061,f890(x43062,a874)),x43063),x43064)),f333(f333(f44(x43061,f890(x43062,a874)),x43063),x43065)))
% 163.20/162.96 [4316]E(f333(f333(f43(x43161,f890(x43162,a874)),x43163),f333(f333(f20(x43161,f890(x43162,a874),f890(x43162,a874)),f333(f333(f10(f890(x43162,a874),f890(f890(x43162,a874),f890(x43162,a874)),x43161),f106(f890(x43162,a874))),x43164)),x43165)),f333(f333(f106(f890(x43162,a874)),f42(f890(x43162,a874),f333(f312(x43161,f890(x43162,a874),x43164),x43163))),f42(f890(x43162,a874),f333(f312(x43161,f890(x43162,a874),x43165),x43163))))
% 163.20/162.96 [4317]E(f333(f333(f44(x43171,f890(x43172,a874)),x43173),f333(f333(f20(x43171,f890(x43172,a874),f890(x43172,a874)),f333(f333(f10(f890(x43172,a874),f890(f890(x43172,a874),f890(x43172,a874)),x43171),f115(f890(x43172,a874))),x43174)),x43175)),f333(f333(f115(f890(x43172,a874)),f41(f890(x43172,a874),f333(f312(x43171,f890(x43172,a874),x43174),x43173))),f41(f890(x43172,a874),f333(f312(x43171,f890(x43172,a874),x43175),x43173))))
% 163.20/162.96 [4353]E(f333(f333(f139(x43531),f333(f195(f881(x43531)),f177(x43531,x43532,f333(f333(f155(x43533,x43531),x43534),x43535)))),f333(f333(f155(x43533,x43531),x43534),x43535)),f333(f333(f155(x43533,x43531),x43534),f333(f333(f139(x43533),f333(f195(f881(x43533)),f177(x43533,f333(f74(x43531,a874,x43533,x43532),x43534),x43535))),x43535)))
% 163.20/162.96 [4230]E(f333(f333(f127(f889(x42301,x42302)),f333(f333(f182(x42301,x42302),f333(f333(f174(x42301),f333(f195(f881(x42302)),x42303)),x42304)),x42303)),f333(f333(f182(x42301,x42302),f333(f333(f139(x42301),f333(f195(f881(x42302)),x42303)),x42304)),x42305)),f333(f333(f182(x42301,x42302),x42304),f333(f333(f127(x42302),x42303),x42305)))
% 163.20/162.96 [4344]E(f86(x43441,f333(f333(f20(x43441,a874,a874),f333(f333(f10(a874,f890(a874,a874),x43441),a331),f333(f333(f9(x43441,f890(x43441,a874),a874),f335(x43441)),x43442))),f333(f333(f9(x43441,x43443,a874),f333(f333(f10(x43443,f890(x43443,a874),x43441),a330),x43444)),x43445))),f333(f78(x43441,x43443,x43442,x43444),x43445))
% 163.20/162.96 [4400]E(f333(f333(f89(a1,x44001),f333(f108(a1),f333(f333(f81(a1),x44002),a102))),f333(f333(f20(a1,x44001,x44001),f333(f333(f9(a1,x44001,f890(x44001,x44001)),f333(f333(f10(a874,f890(x44001,f890(x44001,x44001)),a1),f101(x44001)),a200)),f191(x44001,x44003,x44004,x44005))),f333(f333(f10(a880,x44001,a1),x44004),f333(f333(f9(a1,a880,a880),f333(f333(f10(a880,f890(a880,a880),a1),f81(a880)),a109)),x44005)))),f191(x44001,x44003,x44004,f333(f333(f81(a880),f333(f108(a880),x44002)),x44005)))
% 163.20/162.96 [4450]E(f333(f178(x44501,x44502),f333(f333(f155(f889(x44501,x44503),f889(x44501,x44502)),f333(f272(x44501,x44503,f889(x44501,x44502)),f333(f333(f9(x44501,f890(x44503,x44502),f890(x44503,f889(x44501,x44502))),f333(f333(f10(f890(x44502,f889(x44501,x44502)),f890(f890(x44503,x44502),f890(x44503,f889(x44501,x44502))),x44501),f10(x44502,f889(x44501,x44502),x44503)),f263(x44501,x44502))),x44504))),x44505)),f333(f74(f884(x44503),f884(x44502),x44501,f333(f208(x44503,x44502),x44504)),f333(f178(x44501,x44503),x44505)))
% 163.20/162.96 [4393]E(f184(x43931,x43932,f333(f333(f20(x43931,f884(x43932),f884(x43932)),f333(f333(f20(x43931,f884(x43932),f890(f884(x43932),f884(x43932))),f333(f333(f10(a874,f890(f884(x43932),f890(f884(x43932),f884(x43932))),x43931),f101(f884(x43932))),x43933)),x43934)),x43935)),f333(f333(f115(f890(x43931,a874)),f333(f333(f106(f890(x43931,a874)),f184(x43931,x43932,x43934)),f333(f255(x43931),x43933))),f333(f333(f106(f890(x43931,a874)),f184(x43931,x43932,x43935)),f333(f255(x43931),f333(f333(f10(a874,a874,x43931),a328),x43933)))))
% 163.20/162.96 [4446]E(f333(f333(f89(a1,x44461),f333(f108(a1),f333(f333(f81(a1),x44462),a102))),f333(f333(f20(a1,x44461,x44461),f333(f333(f9(a1,x44461,f890(x44461,x44461)),f333(f333(f10(a874,f890(x44461,f890(x44461,x44461)),a1),f101(x44461)),a200)),f333(f190(x44461,x44463,x44464),x44465))),f333(f333(f20(a1,x44461,x44461),f333(f333(f10(a880,f890(x44461,x44461),a1),x44464),f333(f333(f9(a1,a880,a880),f333(f333(f10(a880,f890(a880,a880),a1),f81(a880)),a109)),x44465))),f333(f333(f10(a880,x44461,a1),f190(x44461,x44463,x44464)),f333(f333(f9(a1,a880,a880),f333(f333(f10(a880,f890(a880,a880),a1),f81(a880)),a109)),x44465))))),f333(f190(x44461,x44463,x44464),f333(f333(f81(a880),f333(f108(a880),x44462)),x44465)))
% 163.20/162.96 [4479]E(f333(f255(f889(x44791,x44792)),f333(f272(x44791,x44792,a874),f333(f333(f10(f890(x44792,f890(x44793,a874)),f890(x44792,a874),x44791),f333(f10(f890(x44793,a874),a874,x44792),f87(x44793))),f333(f333(f9(x44791,f890(x44792,f890(x44793,a874)),f890(x44792,f890(x44793,a874))),f333(f333(f10(f890(f890(x44793,a874),f890(x44793,a874)),f890(f890(x44792,f890(x44793,a874)),f890(x44792,f890(x44793,a874))),x44791),f10(f890(x44793,a874),f890(x44793,a874),x44792)),f333(f333(f10(f890(x44793,f890(a874,a874)),f890(f890(x44793,a874),f890(x44793,a874)),x44791),f20(x44793,a874,a874)),f333(f333(f10(f890(x44793,a874),f890(x44793,f890(a874,a874)),x44791),f333(f10(a874,f890(a874,a874),x44793),a331)),f333(f333(f9(x44791,f890(f889(x44791,x44793),a874),f890(x44793,a874)),f333(f333(f10(f890(x44793,f890(f890(f889(x44791,x44793),a874),a874)),f890(f890(f889(x44791,x44793),a874),f890(x44793,a874)),x44791),f9(x44793,f890(f889(x44791,x44793),a874),a874)),f333(f333(f10(f890(x44793,f889(x44791,x44793)),f890(x44793,f890(f890(f889(x44791,x44793),a874),a874)),x44791),f333(f10(f889(x44791,x44793),f890(f890(f889(x44791,x44793),a874),a874),x44793),f335(f889(x44791,x44793)))),f263(x44791,x44793)))),x44794))))),f333(f333(f9(x44792,f890(f889(x44793,x44792),a874),f890(x44793,a874)),f333(f333(f10(f890(x44793,f890(f890(f889(x44793,x44792),a874),a874)),f890(f890(f889(x44793,x44792),a874),f890(x44793,a874)),x44792),f9(x44793,f890(f889(x44793,x44792),a874),a874)),f333(f333(f10(f890(x44793,f889(x44793,x44792)),f890(x44793,f890(f890(f889(x44793,x44792),a874),a874)),x44792),f333(f10(f889(x44793,x44792),f890(f890(f889(x44793,x44792),a874),a874),x44793),f335(f889(x44793,x44792)))),f333(f9(x44793,x44792,f889(x44793,x44792)),f263(x44793,x44792))))),x44795))))),f333(f333(f290(x44791,x44793,x44792),x44794),x44795))
% 163.20/162.96 [4562]~E(f31(x45621,x45622,x45623),f29(x45624,x45625,x45626))
% 163.20/162.96 [4565]~E(f30(x45651,x45652,x45653),f29(x45654,x45655,x45656))
% 163.20/162.96 [4566]~E(f30(x45661,x45662,x45663),f31(x45664,x45665,x45666))
% 163.20/162.96 [3999]E(f132(x39991,x39992,x39993,x39994,f129(x39992,x39995,x39996)),f333(f333(x39994,x39995),x39996))
% 163.20/162.96 [4069]E(f233(x40691,x40692,x40693,x40694,f230(x40691,x40692,x40695,x40696)),f333(f333(x40694,x40695),x40696))
% 163.20/162.96 [4070]E(f234(x40701,x40702,x40703,x40704,f230(x40701,x40702,x40705,x40706)),f333(f333(x40704,x40705),x40706))
% 163.20/162.96 [4209]E(f187(x42091,x42092,f185(x42091,x42092,x42093,x42094),x42095,x42096),f185(x42091,x42092,x42093,f187(x42091,x42092,x42094,x42095,x42096)))
% 163.20/162.96 [4333]E(f333(f74(f889(x43331,x43332),x43332,f889(x43333,x43334),f271(x43331,x43332)),f273(x43333,x43331,x43334,x43332,x43335,x43336)),f333(f74(x43334,x43332,f889(x43333,x43334),x43336),f271(x43333,x43334)))
% 163.20/162.96 [4334]E(f333(f74(f889(x43341,x43342),x43341,f889(x43343,x43344),f262(x43341,x43342)),f273(x43343,x43341,x43344,x43342,x43345,x43346)),f333(f74(x43343,x43341,f889(x43343,x43344),x43345),f262(x43343,x43344)))
% 163.20/162.96 [3939]E(f333(f333(f74(x39391,x39392,x39393,x39394),x39395),x39396),f333(x39394,f333(x39395,x39396)))
% 163.20/162.96 [4129]E(f235(x41291,x41292,x41293,x41294,f230(x41291,x41292,x41295,x41296)),f333(f333(f81(a880),f333(f333(f81(a880),f333(x41293,x41295)),f333(x41294,x41296))),f333(a117,f2(a880))))
% 163.20/162.96 [3740]E(f333(f333(f272(x37401,x37402,x37403),x37404),f333(f333(f263(x37401,x37402),x37405),x37406)),f333(f333(x37404,x37405),x37406))
% 163.20/162.96 [3802]E(f333(f333(f333(f10(x38021,x38022,x38023),x38024),x38025),x38026),f333(x38024,f333(x38025,x38026)))
% 163.20/162.96 [3803]E(f333(f333(f333(f9(x38031,x38032,x38033),x38034),x38035),x38036),f333(f333(x38034,x38036),x38035))
% 163.20/162.96 [3821]E(f333(f333(f333(f20(x38211,x38212,x38213),x38214),x38215),x38216),f333(f333(x38214,x38216),f333(x38215,x38216)))
% 163.20/162.96 [3840]E(f333(f157(x38401,x38402,x38403,x38404),f333(f333(f152(x38402),x38405),x38406)),f333(f333(x38404,x38405),x38406))
% 163.20/162.96 [3944]E(f333(f333(f152(f889(x39441,x39442)),f333(f333(f263(x39441,x39442),x39443),x39444)),f333(f333(f182(x39441,x39442),x39445),x39446)),f333(f333(f182(x39441,x39442),f333(f333(f152(x39441),x39443),x39445)),f333(f333(f152(x39442),x39444),x39446)))
% 163.20/162.96 [3946]E(f333(f333(f155(x39461,x39462),x39463),f333(f333(f160(x39461,x39464),x39465),x39466)),f333(f333(f160(x39462,f333(f333(f155(x39461,x39462),x39463),x39464)),x39465),f333(x39463,x39466)))
% 163.20/162.96 [3988]E(f333(f143(x39881,x39882,x39883,x39884),f333(f333(f152(x39882),x39885),x39886)),f333(f143(x39881,x39882,x39883,f333(f333(x39883,x39884),x39885)),x39886))
% 163.20/162.96 [4012]E(f275(x40121,x40122,x40123,x40124,f333(f333(f263(x40121,x40122),x40125),x40126)),f333(f333(x40124,x40125),x40126))
% 163.20/162.96 [4095]E(f333(f333(f44(x40951,f890(x40952,a874)),x40953),f333(f74(x40954,f890(x40952,a874),x40951,x40955),x40956)),f333(f333(f44(x40954,f890(x40952,a874)),f333(f312(x40951,x40954,x40956),x40953)),x40955))
% 163.20/162.96 [4143]E(f333(f333(f155(x41431,x41432),x41433),f333(f333(f155(x41434,x41431),x41435),x41436)),f333(f333(f155(x41434,x41432),f333(f74(x41431,x41432,x41434,x41433),x41435)),x41436))
% 163.20/162.96 [4145]E(f333(f333(f208(x41451,x41452),x41453),f333(f333(f208(x41454,x41451),x41455),x41456)),f333(f333(f208(x41454,x41452),f333(f74(x41451,x41452,x41454,x41453),x41455)),x41456))
% 163.20/162.96 [4150]E(f333(f313(x41501,x41502,f333(f74(x41503,x41502,x41501,x41504),x41505)),x41506),f333(f313(x41501,x41503,x41505),f333(f313(x41503,x41502,x41504),x41506)))
% 163.20/162.96 [4151]E(f333(f312(x41511,x41512,f333(f74(x41513,x41512,x41511,x41514),x41515)),x41516),f333(f312(x41513,x41512,x41514),f333(f312(x41511,x41513,x41515),x41516)))
% 163.20/162.96 [4178]E(f185(x41781,x41782,x41783,f333(f333(f333(f73(x41781,f884(x41782)),x41784),x41785),f333(f242(x41782),x41786))),f333(f333(f333(f73(x41781,f884(x41782)),f185(x41781,x41782,x41783,x41784)),x41785),f333(f242(x41782),x41786)))
% 163.20/162.96 [4180]E(f333(f143(x41801,x41802,x41803,f333(f143(x41801,x41802,x41803,x41804),x41805)),x41806),f333(f143(x41801,x41802,x41803,x41804),f333(f333(f127(x41802),x41805),x41806)))
% 163.20/162.96 [4321]E(f333(f273(x43211,x43211,x43212,x43213,f35(x43211),x43214),f333(f333(f263(x43211,x43212),x43215),x43216)),f333(f333(f263(x43211,x43213),x43215),f333(x43214,x43216)))
% 163.20/162.96 [4322]E(f333(f273(x43221,x43222,x43223,x43223,x43224,f35(x43223)),f333(f333(f263(x43221,x43223),x43225),x43226)),f333(f333(f263(x43222,x43223),f333(x43224,x43225)),x43226))
% 163.20/162.96 [4426]E(f333(f333(f155(f889(x44261,x44262),f889(x44261,x44263)),f333(f272(x44261,x44262,f889(x44261,x44263)),f333(f333(f9(x44261,f890(x44262,x44263),f890(x44262,f889(x44261,x44263))),f333(f333(f10(f890(x44263,f889(x44261,x44263)),f890(f890(x44262,x44263),f890(x44262,f889(x44261,x44263))),x44261),f10(x44263,f889(x44261,x44263),x44262)),f263(x44261,x44263))),x44264))),f333(f333(f182(x44261,x44262),x44265),x44266)),f333(f333(f182(x44261,x44263),x44265),f333(f333(f155(x44262,x44263),x44264),x44266)))
% 163.20/162.96 [3808]E(f99(x38081,x38082,x38083,f333(f333(f333(f93(x38081),x38084),x38085),x38086)),f333(f333(f333(x38083,x38084),x38085),x38086))
% 163.20/162.96 [3809]E(f100(x38091,x38092,x38093,f333(f333(f333(f93(x38091),x38094),x38095),x38096)),f333(f333(f333(x38093,x38094),x38095),x38096))
% 163.20/162.96 [3998]E(f333(f333(f74(x39981,x39982,x39983,f333(f18(x39982,x39981),x39984)),x39985),x39986),x39984)
% 163.20/162.96 [4031]E(f333(f312(x40311,x40312,x40313),f333(f312(x40314,x40311,x40315),x40316)),f333(f312(x40314,x40312,f333(f333(f10(x40311,x40312,x40314),x40313),x40315)),x40316))
% 163.20/162.96 [4036]E(f333(f333(f43(x40361,f890(x40362,a874)),f333(f312(x40363,x40361,x40364),x40365)),x40366),f333(f333(f43(x40363,f890(x40362,a874)),x40365),f333(f333(f10(x40361,f890(x40362,a874),x40363),x40366),x40364)))
% 163.20/162.96 [4037]E(f333(f333(f44(x40371,f890(x40372,a874)),f333(f312(x40373,x40371,x40374),x40375)),x40376),f333(f333(f44(x40373,f890(x40372,a874)),x40375),f333(f333(f10(x40371,f890(x40372,a874),x40373),x40376),x40374)))
% 163.20/162.96 [4038]E(f333(f333(f43(x40381,f890(x40382,a874)),x40383),f333(f333(f10(x40384,f890(x40382,a874),x40381),x40385),x40386)),f333(f333(f43(x40384,f890(x40382,a874)),f333(f312(x40381,x40384,x40386),x40383)),x40385))
% 163.20/162.96 [4039]E(f333(f333(f44(x40391,f890(x40392,a874)),x40393),f333(f333(f10(x40394,f890(x40392,a874),x40391),x40395),x40396)),f333(f333(f44(x40394,f890(x40392,a874)),f333(f312(x40391,x40394,x40396),x40393)),x40395))
% 163.20/162.96 [4097]E(f333(f333(f43(x40971,f890(x40972,a874)),x40973),f333(f333(f10(f890(x40974,a874),f890(x40972,a874),x40971),f313(x40972,x40974,x40975)),x40976)),f333(f313(x40972,x40974,x40975),f333(f333(f43(x40971,f890(x40974,a874)),x40973),x40976)))
% 163.20/162.96 [4098]E(f333(f333(f44(x40981,f890(x40982,a874)),x40983),f333(f333(f10(f890(x40984,a874),f890(x40982,a874),x40981),f313(x40982,x40984,x40985)),x40986)),f333(f313(x40982,x40984,x40985),f333(f333(f44(x40981,f890(x40984,a874)),x40983),x40986)))
% 163.20/162.96 [4099]E(f333(f333(f44(x40991,f890(x40992,a874)),x40993),f333(f333(f10(f890(x40994,a874),f890(x40992,a874),x40991),f312(x40994,x40992,x40995)),x40996)),f333(f312(x40994,x40992,x40995),f333(f333(f44(x40991,f890(x40994,a874)),x40993),x40996)))
% 163.20/162.96 [4100]E(f333(f333(f44(x41001,f890(x41002,a874)),x41003),f333(f333(f10(f890(x41004,a874),f890(x41002,a874),x41001),f287(x41004,x41002,x41005)),x41006)),f333(f287(x41004,x41002,x41005),f333(f333(f44(x41001,f890(x41004,a874)),x41003),x41006)))
% 163.20/162.96 [4186]E(f333(f143(x41861,x41862,f333(f9(x41862,x41861,x41861),x41863),x41864),f333(f170(x41862),f333(f333(f152(x41862),x41865),x41866))),f333(f333(x41863,x41865),f333(f143(x41861,x41862,f333(f9(x41862,x41861,x41861),x41863),x41864),f333(f170(x41862),x41866))))
% 163.20/162.96 [4250]E(f333(f333(f20(f889(x42501,x42502),x42502,x42503),f333(f333(f10(x42504,f890(x42502,x42503),f889(x42501,x42502)),x42505),f333(f333(f10(x42501,x42504,f889(x42501,x42502)),x42506),f262(x42501,x42502)))),f271(x42501,x42502)),f333(f272(x42501,x42502,x42503),f333(f333(f10(x42504,f890(x42502,x42503),x42501),x42505),x42506)))
% 163.20/162.96 [4256]E(f333(f143(x42561,x42562,f333(f9(x42562,x42561,x42561),x42563),f333(f143(x42561,x42562,f333(f9(x42562,x42561,x42561),x42563),x42564),f333(f170(x42562),x42565))),f333(f170(x42562),x42566)),f333(f143(x42561,x42562,f333(f9(x42562,x42561,x42561),x42563),x42564),f333(f170(x42562),f333(f333(f127(x42562),x42566),x42565))))
% 163.20/162.96 [4258]E(f333(f333(f155(f889(x42581,x42582),f889(x42583,x42582)),f333(f272(x42581,x42582,f889(x42583,x42582)),f333(f333(f10(x42583,f890(x42582,f889(x42583,x42582)),x42581),f263(x42583,x42582)),x42584))),f333(f333(f182(x42581,x42582),x42585),x42586)),f333(f333(f182(x42583,x42582),f333(f333(f155(x42581,x42583),x42584),x42585)),x42586))
% 163.20/162.96 [4309]P24(f333(f333(f250(f890(x43091,a874)),f333(f287(x43092,x43091,x43093),f333(f333(f43(x43094,f890(x43092,a874)),x43095),x43096))),f333(f333(f43(x43094,f890(x43091,a874)),x43095),f333(f333(f10(f890(x43092,a874),f890(x43091,a874),x43094),f287(x43092,x43091,x43093)),x43096))))
% 163.20/162.96 [4109]E(f333(f333(f182(x41091,x41092),f333(f333(f160(x41091,x41093),x41094),f333(f262(x41091,x41092),x41095))),f333(f333(f160(x41092,x41096),x41094),f333(f271(x41091,x41092),x41095))),f333(f333(f160(f889(x41091,x41092),f333(f333(f182(x41091,x41092),x41093),x41096)),x41094),x41095))
% 163.20/162.96 [4167]E(f333(f333(f115(f890(f889(x41671,x41672),a874)),f333(f333(f290(x41671,x41673,x41672),x41674),x41675)),f333(f333(f290(x41671,x41673,x41672),x41674),x41676)),f333(f333(f290(x41671,x41673,x41672),x41674),f333(f333(f115(f890(f889(x41673,x41672),a874)),x41675),x41676)))
% 163.20/162.96 [4271]E(f333(f333(f311(f889(x42711,x42712)),f333(f333(f263(x42711,x42712),x42713),x42714)),f333(f333(f115(f890(f889(x42711,x42712),a874)),f333(f333(f270(x42711,x42712),x42715),f333(f18(f890(x42712,a874),x42711),f333(f333(f311(x42712),x42714),x42716)))),f333(f333(f270(x42711,x42712),f333(f333(f311(x42711),x42713),x42715)),f333(f18(f890(x42712,a874),x42711),x42716)))),f333(f333(f270(x42711,x42712),f333(f333(f311(x42711),x42713),x42715)),f333(f18(f890(x42712,a874),x42711),f333(f333(f311(x42712),x42714),x42716))))
% 163.20/162.96 [4348]E(f333(f333(f106(f890(x43481,a874)),f333(f313(x43481,x43482,f333(f74(f889(x43482,x43483),x43482,x43481,f262(x43482,x43483)),x43484)),x43485)),f333(f313(x43481,x43483,f333(f74(f889(x43482,x43483),x43483,x43481,f271(x43482,x43483)),x43484)),x43486)),f333(f313(x43481,f889(x43482,x43483),x43484),f333(f333(f270(x43482,x43483),x43485),f333(f18(f890(x43483,a874),x43482),x43486))))
% 163.20/162.96 [4094]E(f333(f333(f333(f73(x40941,x40942),f333(f333(f333(f73(x40941,x40942),x40943),x40944),x40945)),x40944),x40946),f333(f333(f333(f73(x40941,x40942),x40943),x40944),x40946))
% 163.20/162.96 [4192]E(f333(f333(f115(f890(f889(x41921,x41922),a874)),f333(f333(f290(x41921,x41923,x41922),x41924),x41925)),f333(f333(f290(x41921,x41923,x41922),x41926),x41925)),f333(f333(f290(x41921,x41923,x41922),f333(f333(f115(f890(f889(x41921,x41923),a874)),x41924),x41926)),x41925))
% 163.20/162.96 [4331]E(f333(f333(f43(x43311,f890(x43312,a874)),x43313),f333(f333(f9(x43311,f890(x43314,f890(x43312,a874)),f890(x43312,a874)),f333(f333(f10(f890(x43314,a874),f890(f890(x43314,f890(x43312,a874)),f890(x43312,a874)),x43311),f43(x43314,f890(x43312,a874))),x43315)),x43316)),f333(f333(f43(x43314,f890(x43312,a874)),f333(f333(f44(x43311,f890(x43314,a874)),x43313),x43315)),x43316))
% 163.20/162.96 [4332]E(f333(f333(f44(x43321,f890(x43322,a874)),x43323),f333(f333(f9(x43321,f890(x43324,f890(x43322,a874)),f890(x43322,a874)),f333(f333(f10(f890(x43324,a874),f890(f890(x43324,f890(x43322,a874)),f890(x43322,a874)),x43321),f44(x43324,f890(x43322,a874))),x43325)),x43326)),f333(f333(f44(x43324,f890(x43322,a874)),f333(f333(f44(x43321,f890(x43324,a874)),x43323),x43325)),x43326))
% 163.20/162.96 [4388]E(f333(f272(x43881,x43882,f889(x43883,x43884)),f333(f333(f9(x43881,f890(x43882,x43884),f890(x43882,f889(x43883,x43884))),f333(f333(f10(f890(x43884,f889(x43883,x43884)),f890(f890(x43882,x43884),f890(x43882,f889(x43883,x43884))),x43881),f10(x43884,f889(x43883,x43884),x43882)),f333(f333(f10(x43883,f890(x43884,f889(x43883,x43884)),x43881),f263(x43883,x43884)),x43885))),x43886)),f273(x43881,x43883,x43882,x43884,x43885,x43886))
% 163.20/162.96 [4308]E(f333(f333(f333(f73(x43081,f884(x43082)),f188(x43081,x43082,x43083,f333(f333(f3(f890(x43081,a874)),x43084),f333(f333(f311(x43081),x43085),f194(f890(x43081,a874)))))),x43085),x43086),f333(f333(f333(f73(x43081,f884(x43082)),f188(x43081,x43082,x43083,x43084)),x43085),x43086))
% 163.20/162.96 [4419]E(f333(f312(x44191,x44192,f333(f333(f20(x44191,x44192,x44192),f333(f333(f20(x44191,x44192,f890(x44192,x44192)),f333(f333(f10(a874,f890(x44192,f890(x44192,x44192)),x44191),f101(x44192)),x44193)),x44194)),x44195)),x44196),f333(f333(f115(f890(x44192,a874)),f333(f312(x44191,x44192,x44194),f333(f333(f106(f890(x44191,a874)),x44196),f333(f255(x44191),x44193)))),f333(f312(x44191,x44192,x44195),f333(f333(f106(f890(x44191,a874)),x44196),f333(f255(x44191),f333(f333(f10(a874,a874,x44191),a328),x44193))))))
% 163.20/162.96 [4432]E(f333(f312(x44321,f889(x44322,x44323),f333(f333(f20(x44321,x44323,f889(x44322,x44323)),f333(f333(f10(x44322,f890(x44323,f889(x44322,x44323)),x44321),f263(x44322,x44323)),x44324)),x44325)),x44326),f333(f333(f270(x44322,x44323),f333(f312(x44321,x44322,x44324),x44326)),f333(f333(f10(f890(x44321,a874),f890(x44323,a874),x44322),f312(x44321,x44323,x44325)),f333(f333(f9(x44322,f890(x44321,a874),f890(x44321,a874)),f333(f333(f10(f890(x44321,a874),f890(f890(x44321,a874),f890(x44321,a874)),x44322),f106(f890(x44321,a874))),f333(f333(f10(f890(x44322,a874),f890(x44321,a874),x44322),f313(x44321,x44322,x44324)),f333(f333(f9(x44322,f890(x44322,a874),f890(x44322,a874)),f311(x44322)),f194(f890(x44322,a874)))))),x44326))))
% 163.20/162.96 [4372]E(f333(f271(x43721,x43722),f333(f273(x43723,x43721,x43724,x43722,x43725,x43726),x43727)),f333(x43726,f333(f271(x43723,x43724),x43727)))
% 163.20/162.96 [4373]E(f333(f262(x43731,x43732),f333(f273(x43733,x43731,x43734,x43732,x43735,x43736),x43737)),f333(x43735,f333(f262(x43733,x43734),x43737)))
% 163.20/162.96 [4071]E(f333(f333(f182(x40711,x40712),f333(f333(f160(x40711,x40713),x40714),x40715)),f333(f333(f160(x40712,x40716),x40714),x40717)),f333(f333(f160(f889(x40711,x40712),f333(f333(f182(x40711,x40712),x40713),x40716)),x40714),f333(f333(f263(x40711,x40712),x40715),x40717)))
% 163.20/162.96 [4136]E(f333(f333(f333(f274(x41361,x41362,x41363,x41364),x41365),x41366),x41367),f333(f333(f272(x41362,x41363,x41364),x41366),f333(x41365,x41367)))
% 163.20/162.96 [4149]E(f333(f333(f333(f274(x41491,x41492,x41493,x41494),x41495),x41496),x41497),f333(f333(x41496,f333(f262(x41492,x41493),f333(x41495,x41497))),f333(f271(x41492,x41493),f333(x41495,x41497))))
% 163.20/162.96 [4182]E(f187(x41821,x41822,f333(f333(f333(f73(x41821,f884(x41822)),x41823),x41824),f333(f242(x41822),x41825)),x41826,x41827),f187(x41821,x41822,x41823,f333(f333(f152(x41821),x41824),x41826),f333(f333(f152(x41822),x41825),x41827)))
% 163.20/162.96 [4203]E(f333(f74(x42031,x42032,x42033,x42034),f333(f74(x42035,x42031,x42033,x42036),x42037)),f333(f74(x42035,x42032,x42033,f333(f74(x42031,x42032,x42035,x42034),x42036)),x42037))
% 163.20/162.96 [4266]E(f333(f74(f884(x42661),f884(x42662),x42663,f333(f208(x42661,x42662),x42664)),f333(f333(f333(f73(x42663,f884(x42661)),x42665),x42666),f333(f242(x42661),x42667))),f333(f333(f333(f73(x42663,f884(x42662)),f333(f74(f884(x42661),f884(x42662),x42663,f333(f208(x42661,x42662),x42664)),x42665)),x42666),f333(f242(x42662),f333(x42664,x42667))))
% 163.20/162.96 [4395]E(f333(f273(x43951,x43952,x43953,x43953,x43954,f35(x43953)),f333(f273(x43951,x43951,x43955,x43953,f35(x43951),x43956),x43957)),f333(f333(f263(x43952,x43953),f333(x43954,f333(f262(x43951,x43955),x43957))),f333(x43956,f333(f271(x43951,x43955),x43957))))
% 163.20/162.96 [4396]E(f333(f273(x43961,x43961,x43962,x43963,f35(x43961),x43964),f333(f273(x43965,x43961,x43962,x43962,x43966,f35(x43962)),x43967)),f333(f333(f263(x43961,x43963),f333(x43966,f333(f262(x43965,x43962),x43967))),f333(x43964,f333(f271(x43965,x43962),x43967))))
% 163.20/162.96 [4417]E(f333(f273(x44171,x44172,x44173,x44173,x44174,f35(x44173)),f333(f273(x44175,x44171,x44173,x44173,x44176,f35(x44173)),x44177)),f333(f273(x44175,x44172,x44173,x44173,f333(f74(x44171,x44172,x44175,x44174),x44176),f35(x44173)),x44177))
% 163.20/162.96 [4418]E(f333(f273(x44181,x44181,x44182,x44183,f35(x44181),x44184),f333(f273(x44181,x44181,x44185,x44182,f35(x44181),x44186),x44187)),f333(f273(x44181,x44181,x44185,x44183,f35(x44181),f333(f74(x44182,x44183,x44185,x44184),x44186)),x44187))
% 163.20/162.96 [4429]E(f333(f273(x44291,x44292,x44293,x44293,x44294,f35(x44293)),f333(f273(x44291,x44291,x44295,x44293,f35(x44291),x44296),x44297)),f333(f273(x44292,x44292,x44295,x44293,f35(x44292),x44296),f333(f273(x44291,x44292,x44295,x44295,x44294,f35(x44295)),x44297)))
% 163.20/162.96 [4106]E(f333(f333(f290(x41061,x41062,x41063),f333(f333(f290(x41061,x41064,x41062),x41065),x41066)),x41067),f333(f333(f290(x41061,x41064,x41063),x41065),f333(f333(f290(x41064,x41062,x41063),x41066),x41067)))
% 163.20/162.96 [4173]E(f333(f333(f272(x41731,x41732,x41733),f333(f74(x41734,f890(x41732,x41733),x41731,x41735),x41736)),x41737),f333(f333(x41735,f333(x41736,f333(f262(x41731,x41732),x41737))),f333(f271(x41731,x41732),x41737)))
% 163.20/162.96 [4232]E(f333(f74(x42321,x42322,x42323,x42324),f333(f333(f333(f73(x42323,x42321),x42325),x42326),x42327)),f333(f333(f333(f73(x42323,x42322),f333(f74(x42321,x42322,x42323,x42324),x42325)),x42326),f333(x42324,x42327)))
% 163.20/162.96 [4261]E(f333(f143(x42611,x42612,f333(f9(x42612,x42611,x42611),x42613),x42614),f333(f170(x42612),f333(f333(f155(x42615,x42612),x42616),x42617))),f333(f143(x42611,x42615,f333(f9(x42615,x42611,x42611),f333(f74(x42612,f890(x42611,x42611),x42615,x42613),x42616)),x42614),f333(f170(x42615),x42617)))
% 163.20/162.96 [4204]E(f333(f333(f44(x42041,f890(f889(x42042,x42043),a874)),x42044),f333(f333(f10(f890(f889(x42045,x42043),a874),f890(f889(x42042,x42043),a874),x42041),f333(f290(x42042,x42045,x42043),x42046)),x42047)),f333(f333(f290(x42042,x42045,x42043),x42046),f333(f333(f44(x42041,f890(f889(x42045,x42043),a874)),x42044),x42047)))
% 163.20/162.96 [4354]E(f333(f333(f44(x43541,f890(f889(x43542,x43543),a874)),x43544),f333(f333(f9(x43541,f890(f889(x43545,x43543),a874),f890(f889(x43542,x43543),a874)),f333(f333(f10(f890(f889(x43542,x43545),a874),f890(f890(f889(x43545,x43543),a874),f890(f889(x43542,x43543),a874)),x43541),f290(x43542,x43545,x43543)),x43546)),x43547)),f333(f333(f290(x43542,x43545,x43543),f333(f333(f44(x43541,f890(f889(x43542,x43545),a874)),x43544),x43546)),x43547))
% 163.20/162.96 [4355]E(f333(f143(x43551,x43552,f333(f333(f9(x43551,f890(x43552,x43553),f890(x43552,x43551)),f333(f333(f10(f890(x43553,x43551),f890(f890(x43552,x43553),f890(x43552,x43551)),x43551),f10(x43553,x43551,x43552)),x43554)),x43555),x43556),x43557),f333(f143(x43551,x43553,x43554,x43556),f333(f333(f155(x43552,x43553),x43555),x43557)))
% 163.20/162.96 [4430]E(f333(f333(f43(x44301,f890(x44302,a874)),x44303),f333(f333(f10(f890(x44304,f890(x44302,a874)),f890(x44302,a874),x44301),f333(f43(x44304,f890(x44302,a874)),x44305)),f333(f333(f9(x44301,f890(x44304,f890(x44302,a874)),f890(x44304,f890(x44302,a874))),f333(f333(f10(f890(f890(x44302,a874),f890(x44302,a874)),f890(f890(x44304,f890(x44302,a874)),f890(x44304,f890(x44302,a874))),x44301),f10(f890(x44302,a874),f890(x44302,a874),x44304)),f333(f333(f10(f890(x44302,a874),f890(f890(x44302,a874),f890(x44302,a874)),x44301),f115(f890(x44302,a874))),x44306))),x44307))),f333(f333(f115(f890(x44302,a874)),f333(f333(f43(x44301,f890(x44302,a874)),x44303),x44306)),f333(f333(f43(x44304,f890(x44302,a874)),x44305),x44307)))
% 163.20/162.96 [4431]E(f333(f333(f44(x44311,f890(x44312,a874)),x44313),f333(f333(f10(f890(x44314,f890(x44312,a874)),f890(x44312,a874),x44311),f333(f44(x44314,f890(x44312,a874)),x44315)),f333(f333(f9(x44311,f890(x44314,f890(x44312,a874)),f890(x44314,f890(x44312,a874))),f333(f333(f10(f890(f890(x44312,a874),f890(x44312,a874)),f890(f890(x44314,f890(x44312,a874)),f890(x44314,f890(x44312,a874))),x44311),f10(f890(x44312,a874),f890(x44312,a874),x44314)),f333(f333(f10(f890(x44312,a874),f890(f890(x44312,a874),f890(x44312,a874)),x44311),f106(f890(x44312,a874))),x44316))),x44317))),f333(f333(f106(f890(x44312,a874)),f333(f333(f44(x44311,f890(x44312,a874)),x44313),x44316)),f333(f333(f44(x44314,f890(x44312,a874)),x44315),x44317)))
% 163.20/162.96 [4422]E(f206(x44221,x44222,f333(f333(f333(x44223,x44224),x44225),x44226),f333(f333(f9(x44221,f889(a104,a104),f890(a104,f882(x44222))),f333(f333(f9(x44221,a104,f890(f889(a104,a104),f890(a104,f882(x44222)))),f333(f333(f9(x44221,a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(x44222))))),x44227),x44224)),x44225)),x44226)),f333(f333(f333(f219(x44221,x44222,x44223,x44227),x44224),x44225),x44226))
% 163.20/162.96 [4433]E(f207(x44331,x44332,f333(f333(f333(x44333,x44334),x44335),x44336),f333(f333(f9(x44331,f889(a104,a104),f890(a104,f882(x44332))),f333(f333(f9(x44331,a104,f890(f889(a104,a104),f890(a104,f882(x44332)))),f333(f333(f9(x44331,a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(x44332))))),x44337),x44334)),x44335)),x44336)),f221(x44331,x44332,x44333,x44337,x44334,x44335,x44336))
% 163.20/162.96 [4428]E(f204(x44281,x44282,f333(f333(f333(x44283,x44284),x44285),x44286),f333(f333(f9(x44281,f889(a104,a104),f890(a104,f882(f884(x44282)))),f333(f333(f9(x44281,a104,f890(f889(a104,a104),f890(a104,f882(f884(x44282))))),f333(f333(f9(x44281,a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(f884(x44282)))))),x44287),x44284)),x44285)),x44286)),f333(f333(f333(f216(x44281,x44282,x44283,x44287),x44284),x44285),x44286))
% 163.20/162.96 [4443]E(f205(x44431,x44432,f333(f333(f333(x44433,x44434),x44435),x44436),f333(f333(f9(x44431,f889(a104,a104),f890(a104,f882(f884(x44432)))),f333(f333(f9(x44431,a104,f890(f889(a104,a104),f890(a104,f882(f884(x44432))))),f333(f333(f9(x44431,a104,f890(a104,f890(f889(a104,a104),f890(a104,f882(f884(x44432)))))),x44437),x44434)),x44435)),x44436)),f218(x44431,x44432,x44433,x44437,x44434,x44435,x44436))
% 163.20/162.96 [4323]E(f333(f273(x43231,x43232,x43233,x43234,x43235,x43236),f333(f333(f263(x43231,x43233),x43237),x43238)),f333(f333(f263(x43232,x43234),f333(x43235,x43237)),f333(x43236,x43238)))
% 163.20/162.96 [4445]E(f333(f333(f155(f889(x44451,x44452),f889(x44453,x44454)),f333(f272(x44451,x44452,f889(x44453,x44454)),f333(f333(f9(x44451,f890(x44452,x44454),f890(x44452,f889(x44453,x44454))),f333(f333(f10(f890(x44454,f889(x44453,x44454)),f890(f890(x44452,x44454),f890(x44452,f889(x44453,x44454))),x44451),f10(x44454,f889(x44453,x44454),x44452)),f333(f333(f10(x44453,f890(x44454,f889(x44453,x44454)),x44451),f263(x44453,x44454)),x44455))),x44456))),f333(f333(f182(x44451,x44452),x44457),x44458)),f333(f333(f182(x44453,x44454),f333(f333(f155(x44451,x44453),x44455),x44457)),f333(f333(f155(x44452,x44454),x44456),x44458)))
% 163.20/162.96 [4451]E(f333(f333(f155(f889(x44511,x44512),x44513),f333(f272(x44511,x44512,x44513),f333(f333(f10(f890(x44512,f889(x44511,x44514)),f890(x44512,x44513),x44511),f333(f10(f889(x44511,x44514),x44513,x44512),x44515)),f333(f333(f9(x44511,f890(x44512,x44514),f890(x44512,f889(x44511,x44514))),f333(f333(f10(f890(x44514,f889(x44511,x44514)),f890(f890(x44512,x44514),f890(x44512,f889(x44511,x44514))),x44511),f10(x44514,f889(x44511,x44514),x44512)),f263(x44511,x44514))),x44516)))),f333(f333(f182(x44511,x44512),x44517),x44518)),f333(f333(f155(f889(x44511,x44514),x44513),x44515),f333(f333(f182(x44511,x44514),x44517),f333(f333(f155(x44512,x44514),x44516),x44518))))
% 163.20/162.96 [4364]E(f333(f333(f155(f889(x43641,x43642),x43643),f333(f272(x43641,x43642,x43643),f333(f333(f10(f890(x43642,f889(x43644,x43642)),f890(x43642,x43643),x43641),f333(f10(f889(x43644,x43642),x43643,x43642),x43645)),f333(f333(f10(x43644,f890(x43642,f889(x43644,x43642)),x43641),f263(x43644,x43642)),x43646)))),f333(f333(f182(x43641,x43642),x43647),x43648)),f333(f333(f155(f889(x43644,x43642),x43643),x43645),f333(f333(f182(x43644,x43642),f333(f333(f155(x43641,x43644),x43646),x43647)),x43648)))
% 163.20/162.96 [4314]E(f333(f333(f272(x43141,x43142,x43143),f333(f333(f10(f890(x43142,f889(x43144,x43145)),f890(x43142,x43143),x43141),f333(f10(f889(x43144,x43145),x43143,x43142),f333(f272(x43144,x43145,x43143),x43146))),x43147)),x43148),f333(f333(f272(x43144,x43145,x43143),x43146),f333(f333(f272(x43141,x43142,f889(x43144,x43145)),x43147),x43148)))
% 163.20/162.96 [4452]E(f333(f333(f44(f889(x44521,x44522),f890(f889(x44523,x44524),a874)),f333(f333(f270(x44521,x44522),x44525),f333(f18(f890(x44522,a874),x44521),x44526))),f333(f272(x44521,x44522,f890(f889(x44523,x44524),a874)),f333(f333(f9(x44521,f890(x44522,f890(x44523,f890(x44524,a874))),f890(x44522,f890(f889(x44523,x44524),a874))),f333(f333(f10(f890(f890(x44523,f890(x44524,a874)),f890(f889(x44523,x44524),a874)),f890(f890(x44522,f890(x44523,f890(x44524,a874))),f890(x44522,f890(f889(x44523,x44524),a874))),x44521),f10(f890(x44523,f890(x44524,a874)),f890(f889(x44523,x44524),a874),x44522)),f333(f333(f10(f890(x44523,a874),f890(f890(x44523,f890(x44524,a874)),f890(f889(x44523,x44524),a874)),x44521),f270(x44523,x44524)),x44527))),f333(f333(f10(f890(x44524,a874),f890(x44523,f890(x44524,a874)),x44522),f18(f890(x44524,a874),x44523)),x44528)))),f333(f333(f270(x44523,x44524),f333(f333(f44(x44521,f890(x44523,a874)),x44525),x44527)),f333(f18(f890(x44524,a874),x44523),f333(f333(f44(x44522,f890(x44524,a874)),x44526),x44528))))
% 163.20/162.96 [4378]E(f333(f333(f274(x43781,x43782,x43783,x43784),f333(f333(f274(x43781,x43785,x43786,f889(x43782,x43783)),x43787),x43788)),x43789),f333(f333(f274(x43781,x43785,x43786,x43784),x43787),f333(f333(f9(x43785,f890(x43782,f890(x43783,x43784)),f890(x43786,x43784)),f333(f333(f10(f890(x43786,f889(x43782,x43783)),f890(f890(x43782,f890(x43783,x43784)),f890(x43786,x43784)),x43785),f274(x43786,x43782,x43783,x43784)),x43788)),x43789)))
% 163.20/162.96 [4414]E(f333(f74(f889(x44141,x44142),f889(x44143,x44144),f889(x44145,x44146),f273(x44141,x44143,x44142,x44144,x44147,x44148)),f273(x44145,x44141,x44146,x44142,x44149,x441410)),f273(x44145,x44143,x44146,x44144,f333(f74(x44141,x44143,x44145,x44147),x44149),f333(f74(x44142,x44144,x44146,x44148),x441410)))
% 163.20/162.96 [4420]E(f333(f273(x44201,x44202,x44203,x44204,x44205,x44206),f333(f273(x44207,x44201,x44208,x44203,x44209,x442010),x442011)),f333(f273(x44207,x44202,x44208,x44204,f333(f74(x44201,x44202,x44207,x44205),x44209),f333(f74(x44203,x44204,x44208,x44206),x442010)),x442011))
% 163.20/162.96 [4604]~P96(x46041)+E(f92(x46041),a330)
% 163.20/162.96 [4605]~P28(x46051)+P28(f884(x46051))
% 163.20/162.96 [4606]~P62(x46061)+P62(f884(x46061))
% 163.20/162.96 [4607]~P104(x46071)+P104(f881(x46071))
% 163.20/162.96 [4610]~P142(x46101)+~E(f79(x46101),f2(x46101))
% 163.20/162.96 [4612]~E(x46121,f2(a104))+E(f333(a22,x46121),f2(a1))
% 163.20/162.96 [4613]~E(x46131,f2(a1))+E(f83(a1,x46131),f2(a1))
% 163.20/162.96 [4620]~P143(x46201)+P33(x46201,f2(x46201))
% 163.20/162.96 [4622]~P109(x46221)+P31(x46221,f118(x46221))
% 163.20/162.96 [4632]P24(x46321)+P24(f333(a328,x46321))
% 163.20/162.96 [4675]~P143(x46751)+~P33(x46751,f79(x46751))
% 163.20/162.96 [4720]~P24(x47201)+~P24(f333(a328,x47201))
% 163.20/162.96 [4743]E(f333(a109,x47431),f2(a880))+~P24(f333(a200,x47431))
% 163.20/162.96 [4807]~P73(x48071)+P12(x48071,x48071,f82(x48071))
% 163.20/162.96 [4808]~P101(x48081)+P11(x48081,x48081,f115(x48081))
% 163.20/162.96 [4809]~P102(x48091)+P11(x48091,x48091,f106(x48091))
% 163.20/162.96 [4810]~P97(x48101)+P11(x48101,x48101,f82(x48101))
% 163.20/162.96 [4811]~P109(x48111)+P11(x48111,x48111,f248(x48111))
% 163.20/162.96 [4812]~P109(x48121)+P11(x48121,x48121,f249(x48121))
% 163.20/162.96 [4617]~E(x46171,f2(a880))+E(f333(f105(a1),x46171),f2(a1))
% 163.20/162.96 [4625]~P94(x46251)+E(f333(f108(x46251),a84),f2(x46251))
% 163.20/162.96 [4628]~E(f553(x46281),f2(a880))+E(f333(f167(a880),x46281),f2(a880))
% 163.20/162.96 [4629]~P111(x46291)+E(f252(x46291,f250(x46291)),f248(x46291))
% 163.20/162.96 [4630]~P111(x46301)+E(f253(x46301,f250(x46301)),f249(x46301))
% 163.20/162.96 [4631]~P90(x46311)+E(f83(x46311,f2(x46311)),f2(x46311))
% 163.20/162.96 [4640]~P143(x46401)+E(f333(f105(x46401),f79(a880)),f79(x46401))
% 163.20/162.96 [4641]~P143(x46411)+E(f333(f105(x46411),f2(a880)),f2(x46411))
% 163.20/162.96 [4642]~P140(x46421)+E(f333(f107(x46421),f79(a1)),f79(x46421))
% 163.20/162.96 [4643]~P140(x46431)+E(f333(f107(x46431),f2(a1)),f2(x46431))
% 163.20/162.96 [4644]E(x46441,f2(a880))+~E(f333(f105(a1),x46441),f2(a1))
% 163.20/162.96 [4669]~P79(x46691)+E(f333(f80(x46691),f194(x46691)),f258(x46691))
% 163.20/162.96 [4670]~P79(x46701)+E(f333(f80(x46701),f258(x46701)),f194(x46701))
% 163.20/162.96 [4671]~P75(x46711)+E(f333(f80(x46711),f2(x46711)),f2(x46711))
% 163.20/162.96 [4672]~P120(x46721)+E(f333(f76(x46721),f79(x46721)),f79(x46721))
% 163.20/162.96 [4673]~P87(x46731)+E(f333(f76(x46731),f2(x46731)),f2(x46731))
% 163.20/162.96 [4674]~P84(x46741)+E(f333(f167(x46741),f118(x46741)),f2(x46741))
% 163.20/162.96 [4695]~P39(x46951)+P42(f333(f173(a1),x46951))
% 163.20/162.96 [4725]~P94(x47251)+E(f333(f80(x47251),f79(x47251)),f333(f108(x47251),a102))
% 163.20/162.96 [4742]~P94(x47421)+P33(x47421,f333(f108(x47421),a84))
% 163.20/162.96 [4759]~P62(x47591)+E(f333(f173(x47591),f57(x47591)),f258(f890(x47591,a874)))
% 163.20/162.96 [4769]P39(x47691)+~P42(f333(f173(a1),x47691))
% 163.20/162.96 [4770]~P62(x47701)+P24(f333(f138(x47701),f57(x47701)))
% 163.20/162.96 [4813]E(f333(f105(a1),f333(a109,x48131)),x48131)+P24(f333(a200,x48131))
% 163.20/162.96 [4830]~P111(x48301)+E(f94(x48301,x48301,f7(x48301)),f95(x48301))
% 163.20/162.96 [4881]~P113(x48811)+E(f265(x48811,f79(x48811),f82(x48811)),f264(x48811))
% 163.20/162.96 [4911]~P94(x49111)+~P33(x49111,f333(f108(x49111),a102))
% 163.20/162.96 [4921]E(f333(a28,x49211),f197(a875))+P24(f333(a25,f333(a26,x49211)))
% 163.20/162.96 [5051]E(f333(f76(a1),x50511),x50511)+P24(f333(f333(f251(a1),x50511),f2(a1)))
% 163.20/162.96 [5072]~E(f333(a109,x50721),f2(a880))+P24(f333(f333(f250(a1),x50721),f2(a1)))
% 163.20/162.96 [5132]~P24(f333(a200,x51321))+P24(f333(f333(f251(a1),x51321),f2(a1)))
% 163.20/162.96 [5171]~P140(x51711)+P24(f333(f333(f335(x51711),f79(x51711)),f114(x51711)))
% 163.20/162.96 [5172]~P143(x51721)+P24(f333(f333(f335(x51721),f79(x51721)),f192(x51721)))
% 163.20/162.96 [5173]~P140(x51731)+P24(f333(f333(f335(x51731),f2(x51731)),f114(x51731)))
% 163.20/162.96 [5174]~P143(x51741)+P24(f333(f333(f335(x51741),f2(x51741)),f192(x51741)))
% 163.20/162.96 [5175]~P123(x51751)+P24(f333(f333(f251(x51751),f2(x51751)),f79(x51751)))
% 163.20/162.96 [5176]~P123(x51761)+P24(f333(f333(f250(x51761),f2(x51761)),f79(x51761)))
% 163.20/162.96 [5179]E(f333(f242(a875),f740(x51791)),f333(a28,x51791))+~P24(f333(a25,f333(a26,x51791)))
% 163.20/162.96 [5180]E(f333(f242(a875),f831(x51801)),f333(a28,x51801))+~P24(f333(a25,f333(a26,x51801)))
% 163.20/162.96 [5235]E(x52351,f2(a880))+~P24(f333(f333(f250(a880),x52351),f2(a880)))
% 163.20/162.96 [5280]E(f333(a109,x52801),f2(a880))+~P24(f333(f333(f250(a1),x52801),f2(a1)))
% 163.20/162.96 [5343]P24(f333(a200,x53431))+~P24(f333(f333(f251(a1),x53431),f2(a1)))
% 163.20/162.96 [5348]~P109(x53481)+P12(x53481,f881(x53481),f149(x53481,x53481,f7(x53481)))
% 163.20/162.96 [5365]P42(x53651)+~P24(f333(f333(f250(a1),f2(a1)),f340(x53651)))
% 163.20/162.96 [5371]E(f333(f76(a1),x53711),f333(f80(a1),x53711))+~P24(f333(f333(f251(a1),x53711),f2(a1)))
% 163.20/162.96 [5541]~P123(x55411)+~P24(f333(f333(f251(x55411),f79(x55411)),f2(x55411)))
% 163.20/162.96 [5542]~P123(x55421)+~P24(f333(f333(f250(x55421),f79(x55421)),f2(x55421)))
% 163.20/162.96 [5552]~E(x55521,f2(a1))+P24(f333(f333(f251(a1),f333(f76(a1),x55521)),f79(a1)))
% 163.20/162.96 [5553]~E(x55531,f2(a880))+P24(f333(f333(f250(a1),f333(f105(a1),x55531)),f2(a1)))
% 163.20/162.96 [5673]~P84(x56731)+E(f143(x56731,x56731,f81(x56731),f2(x56731)),f167(x56731))
% 163.20/162.96 [5844]~P103(x58441)+P21(a880,x58441,f105(x58441),f258(f890(a880,a874)))
% 163.20/162.96 [6040]E(x60401,f2(a880))+~P24(f333(f333(f250(a1),f333(f105(a1),x60401)),f2(a1)))
% 163.20/162.96 [6041]E(x60411,f2(a1))+~P24(f333(f333(f251(a1),f333(f76(a1),x60411)),f79(a1)))
% 163.20/162.96 [7904]E(x79041,f333(a5,f2(a880)))+P24(f333(f333(f251(a880),f333(f333(f3(a880),f333(a21,x79041)),f333(a117,f2(a880)))),f333(a21,x79041)))
% 163.20/162.96 [8749]~P24(f333(f333(f251(a1),x87491),f2(a1)))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87491)),x87491)),f2(a1)))
% 163.20/162.96 [9132]P24(f333(f333(f251(a1),x91321),f2(a1)))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91321)),x91321)),f2(a1)))
% 163.20/162.96 [9589]~P24(f333(f333(f251(a1),x95891),f2(a1)))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95891)),x95891)),a102)),f2(a1)))
% 163.20/162.96 [9760]P24(f333(f333(f251(a1),x97601),f2(a1)))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97601)),x97601)),a102)),f2(a1)))
% 163.20/162.96 [4728]E(x47281,f2(a1))+E(f333(f333(f40(a1),x47281),x47281),f79(a1))
% 163.20/162.96 [4871]~P29(x48711)+E(f41(x48711,f194(f890(x48711,a874))),f194(x48711))
% 163.20/162.96 [4872]~P29(x48721)+E(f41(x48721,f258(f890(x48721,a874))),f258(x48721))
% 163.20/162.96 [4873]~P29(x48731)+E(f42(x48731,f194(f890(x48731,a874))),f258(x48731))
% 163.20/162.96 [4874]~P29(x48741)+E(f42(x48741,f258(f890(x48741,a874))),f194(x48741))
% 163.20/162.96 [4875]~P109(x48751)+E(f140(x48751,f194(f890(x48751,a874))),f118(x48751))
% 163.20/162.96 [5010]E(x50101,f2(a880))+P24(f333(f333(f251(a880),f2(a880)),x50101))
% 163.20/162.96 [5029]~P30(x50291)+P24(f333(f333(f250(a1),f2(a1)),x50291))
% 163.20/162.96 [5063]~E(f333(f108(a880),x50631),f2(a880))+P24(f333(f333(f250(a1),x50631),a84))
% 163.20/162.96 [5068]P42(x50681)+P24(f333(f333(f335(a1),f340(x50681)),x50681))
% 163.20/162.96 [5069]E(x50691,f333(a5,f2(a880)))+P24(f333(f333(f250(a104),f79(a104)),x50691))
% 163.20/162.96 [5106]P24(f333(a200,x51061))+P24(f333(f333(f250(a1),f2(a1)),x51061))
% 163.20/162.96 [5153]E(f333(f105(a1),f333(a109,x51531)),f2(a1))+P24(f333(f333(f250(a1),f2(a1)),x51531))
% 163.20/162.96 [5221]E(f333(f105(a1),f333(f108(a880),x52211)),f333(f108(a1),x52211))+P24(f333(a200,f333(f108(a1),x52211)))
% 163.20/162.96 [5241]E(f333(f108(a880),x52411),f2(a880))+~P24(f333(a200,f333(f108(a1),x52411)))
% 163.20/162.96 [5242]E(f333(f108(a880),x52421),f2(a880))+~P24(f333(f333(f250(a1),x52421),a84))
% 163.20/162.96 [5277]P30(x52771)+~P24(f333(f333(f250(a1),f2(a1)),x52771))
% 163.20/162.96 [5351]E(f333(a117,f842(x53511)),x53511)+~P24(f333(f333(f251(a880),f2(a880)),x53511))
% 163.20/162.96 [5359]E(f333(a117,f333(f108(a880),x53591)),f79(a880))+~P24(f333(a200,f333(f108(a1),x53591)))
% 163.20/162.96 [5367]E(f333(f105(a1),f390(x53671)),x53671)+~P24(f333(f333(f251(a1),f2(a1)),x53671))
% 163.20/162.96 [5374]~E(x53741,f333(a5,f2(a880)))+~P24(f333(f333(f250(a104),f79(a104)),x53741))
% 163.20/162.96 [5381]E(f333(f105(a1),f333(f108(a880),x53811)),f2(a1))+~P24(f333(a200,f333(f108(a1),x53811)))
% 163.20/162.96 [5407]E(f333(f167(a880),x54071),f2(a880))+P24(f333(f333(f335(a880),f553(x54071)),f333(f173(a880),x54071)))
% 163.20/162.96 [5428]E(f333(f105(a1),f333(a109,x54281)),x54281)+~P24(f333(f333(f250(a1),f2(a1)),x54281))
% 163.20/162.96 [5437]~P24(f333(a200,x54371))+~P24(f333(f333(f250(a1),f2(a1)),x54371))
% 163.20/162.96 [5534]E(f333(f333(f81(a880),f79(a880)),f333(f108(a880),x55341)),f79(a880))+~P24(f333(f333(f251(a1),x55341),a84))
% 163.20/162.96 [5592]E(x55921,f2(a880))+~P24(f333(f333(f251(a880),x55921),f333(a117,f2(a880))))
% 163.20/162.96 [5632]E(f333(f333(f3(a880),f333(f108(a880),x56321)),f79(a880)),f2(a880))+~P24(f333(f333(f250(a1),x56321),a84))
% 163.20/162.96 [5633]E(f333(f333(f81(a880),f333(f108(a880),x56331)),f79(a880)),f79(a880))+~P24(f333(f333(f251(a1),x56331),a84))
% 163.20/162.96 [5643]~P42(x56431)+E(f333(f39(a880),f333(f312(a1,a880,a109),x56431)),f333(f39(a1),x56431))
% 163.20/162.96 [5674]~P109(x56741)+E(f252(x56741,f333(f9(x56741,x56741,a874),f250(x56741))),f249(x56741))
% 163.20/162.96 [5675]~P109(x56751)+E(f253(x56751,f333(f9(x56751,x56751,a874),f250(x56751))),f248(x56751))
% 163.20/162.96 [5685]E(f46(a880,f333(a117,f2(a880)),f333(f108(a880),x56851)),f333(a117,f2(a880)))+~P24(f333(a200,f333(f108(a1),x56851)))
% 163.20/162.96 [5694]P24(f333(f333(f251(a1),f2(a1)),x56941))+~P24(f333(f333(f250(a1),f79(a1)),x56941))
% 163.20/162.96 [5695]~P24(f333(f333(f251(a1),f2(a1)),x56951))+P24(f333(f333(f250(a1),f79(a1)),x56951))
% 163.20/162.96 [5706]E(f333(a117,f333(f333(f3(a880),x57061),f79(a880))),x57061)+~P24(f333(f333(f251(a880),f2(a880)),x57061))
% 163.20/162.96 [5763]P24(f333(f333(f251(a880),f2(a880)),f390(x57631)))+~P24(f333(f333(f251(a1),f2(a1)),x57631))
% 163.20/162.96 [5822]E(f46(a1,f333(f108(a1),a102),x58221),f333(f333(f3(a1),x58221),f79(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x58221))
% 163.20/162.96 [5856]~P24(f333(f333(f251(a1),a84),x58561))+P24(f333(f333(f251(a880),f2(a880)),f333(f108(a880),x58561)))
% 163.20/162.96 [5906]P24(f333(f333(f251(a880),f2(a880)),f333(a109,x59061)))+~P24(f333(f333(f251(a1),f2(a1)),x59061))
% 163.20/162.96 [5957]~P24(f333(f333(f251(a880),f2(a880)),x59571))+P24(f333(f333(f251(a1),f2(a1)),f333(f105(a1),x59571)))
% 163.20/162.96 [5995]~P24(f333(f333(f251(a880),f2(a880)),f333(a109,x59951)))+P24(f333(f333(f251(a1),f2(a1)),x59951))
% 163.20/162.96 [6010]~P42(x60101)+E(f333(f312(a880,a1,f105(a1)),f333(f312(a1,a880,a109),x60101)),x60101)
% 163.20/162.96 [6021]P24(f333(f333(f251(a1),a84),x60211))+~P24(f333(f333(f251(a880),f2(a880)),f333(f108(a880),x60211)))
% 163.20/162.96 [6069]~P62(x60691)+E(f333(f333(f152(f884(x60691)),f197(x60691)),f333(f333(f155(x60691,f884(x60691)),f242(x60691)),f57(x60691))),f57(f884(x60691)))
% 163.20/162.96 [6080]P24(f333(f333(f251(a880),f2(a880)),x60801))+~P24(f333(f333(f251(a1),f2(a1)),f333(f105(a1),x60801)))
% 163.20/162.96 [6192]E(f333(f312(a880,a1,f105(a1)),f333(f256(a880),f333(a109,x61921))),f333(f303(a1,f2(a1)),x61921))+~P24(f333(f333(f250(a1),f2(a1)),x61921))
% 163.20/162.96 [6207]~P123(x62071)+P24(f333(f333(f251(x62071),f2(x62071)),f333(f333(f81(x62071),f79(x62071)),f79(x62071))))
% 163.20/162.96 [6258]P24(f333(f333(f251(a880),f333(a117,f2(a880))),f333(a109,x62581)))+~P24(f333(f333(f251(a1),f79(a1)),x62581))
% 163.20/162.96 [6350]E(x63501,f2(a1))+P24(f333(f50(f2(a1),x63501),f333(f333(f263(a1,a1),f2(a1)),f2(a1))))
% 163.20/162.96 [6516]~P24(f333(f333(f251(a880),f333(a117,f2(a880))),f333(a109,x65161)))+P24(f333(f333(f251(a1),f79(a1)),x65161))
% 163.20/162.96 [6930]~P114(x69301)+P40(x69301,f333(f255(f889(x69301,x69301)),f333(f272(x69301,x69301,a874),f251(x69301))))
% 163.20/162.96 [5579]E(f333(f108(a880),f333(f333(f3(a1),x55791),a102)),f333(a117,f333(f108(a880),x55791)))+P24(f333(a200,f333(f108(a1),x55791)))
% 163.20/162.96 [5595]~P39(x55951)+E(f333(f333(f155(a880,a1),f105(a1)),f333(f333(f155(a1,a880),a109),x55951)),x55951)
% 163.20/162.96 [5712]E(f333(f80(a1),f333(f105(a1),f333(a117,f391(x57121)))),x57121)+~P24(f333(f333(f251(a1),x57121),f2(a1)))
% 163.20/162.96 [5722]E(f333(f333(f81(a880),f79(a880)),f333(f108(a880),x57221)),f333(f108(a880),f333(f333(f3(a1),x57221),a102)))+P24(f333(f333(f251(a1),x57221),a84))
% 163.20/162.96 [5765]E(f333(f333(f40(a1),f333(f108(a1),a102)),x57651),f333(f108(a1),a102))+~P24(f333(f333(f251(a1),f2(a1)),x57651))
% 163.20/162.96 [5852]E(f333(f333(f3(a880),f333(f108(a880),x58521)),f79(a880)),f333(f108(a880),f333(f333(f81(a1),x58521),a102)))+P24(f333(f333(f250(a1),x58521),a84))
% 163.20/162.96 [5853]E(f333(f333(f81(a880),f333(f108(a880),x58531)),f79(a880)),f333(f108(a880),f333(f333(f3(a1),x58531),a102)))+P24(f333(f333(f251(a1),x58531),a84))
% 163.20/162.96 [5894]E(f333(a109,f333(f333(f81(a1),f79(a1)),x58941)),f333(a117,f333(a109,x58941)))+~P24(f333(f333(f250(a1),f2(a1)),x58941))
% 163.20/162.96 [5930]E(f333(a117,f333(f333(f3(a880),x59301),f333(a117,f2(a880)))),x59301)+~P24(f333(f333(f251(a880),f2(a880)),x59301))
% 163.20/162.96 [6140]E(f46(a880,f333(a117,f2(a880)),f333(f108(a880),x61401)),f333(a109,f46(a1,f79(a1),f333(f108(a1),x61401))))+P24(f333(a200,f333(f108(a1),x61401)))
% 163.20/162.96 [6363]~P24(f333(f63(x63631),f258(f890(x63631,a874))))+P24(f333(f63(f884(x63631)),f258(f890(f884(x63631),a874))))
% 163.20/162.96 [6450]~P24(f333(f333(f250(a1),f2(a1)),x64501))+P24(f333(f333(f251(a1),f2(a1)),f333(f333(f81(a1),f79(a1)),x64501)))
% 163.20/162.96 [6457]E(f333(f262(a1,a1),f48(f79(a1),f333(f108(a1),x64571))),f333(f333(f40(a1),f79(a1)),f333(f108(a1),x64571)))+~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x64571)))
% 163.20/162.96 [6476]E(f333(f271(a1,a1),f48(f79(a1),f333(f108(a1),x64761))),f46(a1,f79(a1),f333(f108(a1),x64761)))+~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x64761)))
% 163.20/162.96 [6488]P24(f333(f63(x64881),f258(f890(x64881,a874))))+~P24(f333(f63(f884(x64881)),f258(f890(f884(x64881),a874))))
% 163.20/162.96 [6824]~P24(f333(f63(x68241),f258(f890(x68241,a874))))+P24(f333(f333(f251(a880),f2(a880)),f333(f39(x68241),f258(f890(x68241,a874)))))
% 163.20/162.96 [7399]P24(f333(f63(a880),x73991))+~P24(f333(f63(a1),f333(f312(a880,a1,f105(a1)),x73991)))
% 163.20/162.96 [8780]P20(a876,a891,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),f333(a26,x87801)),f201(f333(a26,x87801)))),f194(f890(f879(a876),a874))))+~P24(f333(f333(f335(a877),x87801),f184(a877,a875,a28)))
% 163.20/162.96 [5608]~E(a102,x56081)+E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x56081)),x56081),a102)
% 163.20/162.96 [5609]~E(x56091,a102)+E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x56091)),x56091),a102)
% 163.20/162.96 [6149]E(x61491,a102)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x61491)),x61491),a102)
% 163.20/162.96 [6150]E(a102,x61501)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x61501)),x61501),a102)
% 163.20/162.96 [6419]~E(f333(f108(a880),x64191),f2(a880))+P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),x64191),a102))))
% 163.20/162.96 [7077]E(f333(f108(a880),x70771),f2(a880))+~P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),x70771),a102))))
% 163.20/162.96 [7674]E(f333(a111,f718(x76741)),x76741)+~P24(f333(f333(f335(f890(f889(a880,a880),a874)),x76741),a103))
% 163.20/162.96 [6530]~P94(x65301)+E(f333(f108(x65301),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f79(x65301))
% 163.20/162.96 [6947]~P24(f333(a200,f333(f108(a1),x69471)))+E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x69471)),x69471)),f2(a880))
% 163.20/162.96 [7854]~P24(f333(f333(f251(a1),f333(f108(a1),x78541)),f2(a1)))+E(f333(f262(a1,a1),f333(a52,f51(f333(f80(a1),f79(a1)),f333(f80(a1),f333(f108(a1),x78541))))),f333(f333(f40(a1),f79(a1)),f333(f108(a1),x78541)))
% 163.20/162.96 [7862]~P24(f333(f333(f251(a1),f333(f108(a1),x78621)),f2(a1)))+E(f333(f271(a1,a1),f333(a52,f51(f333(f80(a1),f79(a1)),f333(f80(a1),f333(f108(a1),x78621))))),f46(a1,f79(a1),f333(f108(a1),x78621)))
% 163.20/162.96 [8046]~P24(f333(f333(f250(a1),a84),x80461))+P24(f333(f333(f251(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80461)),x80461)))
% 163.20/162.96 [8047]~P24(f333(f333(f251(a1),a102),x80471))+P24(f333(f333(f251(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80471)),x80471)))
% 163.20/162.96 [8048]~P24(f333(f333(f250(a1),a84),x80481))+P24(f333(f333(f250(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80481)),x80481)))
% 163.20/162.96 [8049]~P24(f333(f333(f250(a1),a102),x80491))+P24(f333(f333(f250(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80491)),x80491)))
% 163.20/162.96 [8050]~P24(f333(f333(f92(a1),a102),x80501))+P24(f333(f333(f92(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80501)),x80501)))
% 163.20/162.96 [8388]~P94(x83881)+~P33(x83881,f333(f108(x83881),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))
% 163.20/162.96 [8512]P24(f333(f333(f251(a1),a102),x85121))+~P24(f333(f333(f251(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x85121)),x85121)))
% 163.20/162.96 [8513]P24(f333(f333(f250(a1),a84),x85131))+~P24(f333(f333(f251(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x85131)),x85131)))
% 163.20/162.96 [8514]P24(f333(f333(f250(a1),a84),x85141))+~P24(f333(f333(f250(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x85141)),x85141)))
% 163.20/162.96 [8515]P24(f333(f333(f250(a1),a102),x85151))+~P24(f333(f333(f250(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x85151)),x85151)))
% 163.20/162.96 [8516]P24(f333(f333(f92(a1),a102),x85161))+~P24(f333(f333(f92(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x85161)),x85161)))
% 163.20/162.96 [8721]E(f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87211)),x87211)),f333(f333(f89(a880,a880),f333(f108(a880),x87211)),f333(f333(f10(a880,a880,a880),a117),f333(f333(f20(a880,a880,a880),f81(a880)),f7(a880)))))+P24(f333(a200,f333(f108(a1),x87211)))
% 163.20/162.96 [9561]E(x95611,f194(f890(f889(a880,a880),a874)))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x95611),f194(f890(f889(a880,a880),a874)))),a37))
% 163.20/162.96 [7764]~E(a84,x77641)+E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x77641)),x77641)),a102),a84)
% 163.20/162.96 [7765]~E(x77651,a84)+E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x77651)),x77651)),a102),a84)
% 163.20/162.96 [8404]E(x84041,a84)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x84041)),x84041)),a102),a84)
% 163.20/162.96 [8405]E(a84,x84051)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x84051)),x84051)),a102),a84)
% 163.20/162.96 [8736]~P24(f333(a200,f333(f108(a1),x87361)))+P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87361)),x87361))))
% 163.20/162.96 [8737]~P24(f333(f333(f251(a1),x87371),a84))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87371)),x87371)),a84))
% 163.20/162.96 [8738]~P24(f333(f333(f251(a1),x87381),a102))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87381)),x87381)),a102))
% 163.20/162.96 [8739]~P24(f333(f333(f251(a1),x87391),a84))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87391)),x87391)),a84))
% 163.20/162.96 [8740]~P24(f333(f333(f250(a1),x87401),a102))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87401)),x87401)),a102))
% 163.20/162.96 [8741]~P24(f333(f333(f92(a1),x87411),a102))+P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x87411)),x87411)),a102))
% 163.20/162.96 [8814]~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x88141)))+P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x88141)),x88141))))
% 163.20/162.96 [9122]P24(f333(a200,f333(f108(a1),x91221)))+~P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91221)),x91221))))
% 163.20/162.96 [9123]P24(f333(f333(f251(a1),x91231),a84))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91231)),x91231)),a84))
% 163.20/162.96 [9124]P24(f333(f333(f251(a1),x91241),a84))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91241)),x91241)),a84))
% 163.20/162.96 [9125]P24(f333(f333(f251(a1),x91251),a102))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91251)),x91251)),a102))
% 163.20/162.96 [9126]P24(f333(f333(f250(a1),x91261),a102))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91261)),x91261)),a102))
% 163.20/162.96 [9127]P24(f333(f333(f92(a1),x91271),a102))+~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x91271)),x91271)),a102))
% 163.20/162.96 [9613]~P24(f333(f63(f889(a880,a880)),x96131))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f194(f890(f889(a880,a880),a874))),x96131)),a70))
% 163.20/162.96 [9284]~P24(f333(f333(f251(a1),a84),x92841))+P24(f333(f333(f251(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92841)),x92841)),a102)))
% 163.20/162.96 [9285]~P24(f333(f333(f251(a1),a102),x92851))+P24(f333(f333(f251(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92851)),x92851)),a102)))
% 163.20/162.96 [9286]~P24(f333(f333(f250(a1),a84),x92861))+P24(f333(f333(f250(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92861)),x92861)),a102)))
% 163.20/162.96 [9287]~P24(f333(f333(f251(a1),a102),x92871))+P24(f333(f333(f250(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92871)),x92871)),a102)))
% 163.20/162.96 [9288]~P24(f333(f333(f92(a1),a84),x92881))+P24(f333(f333(f92(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92881)),x92881)),a102)))
% 163.20/162.96 [9503]P24(f333(f333(f251(a1),a84),x95031))+~P24(f333(f333(f251(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95031)),x95031)),a102)))
% 163.20/162.96 [9504]P24(f333(f333(f251(a1),a102),x95041))+~P24(f333(f333(f251(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95041)),x95041)),a102)))
% 163.20/162.96 [9505]P24(f333(f333(f251(a1),a102),x95051))+~P24(f333(f333(f250(a1),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95051)),x95051)),a102)))
% 163.20/162.96 [9506]P24(f333(f333(f250(a1),a84),x95061))+~P24(f333(f333(f250(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95061)),x95061)),a102)))
% 163.20/162.96 [9507]P24(f333(f333(f92(a1),a84),x95071))+~P24(f333(f333(f92(a1),a84),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95071)),x95071)),a102)))
% 163.20/162.96 [9583]~P24(f333(a200,f333(f108(a1),x95831)))+P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95831)),x95831)),a102))))
% 163.20/162.96 [9584]~P24(f333(f333(f251(a1),x95841),a84))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95841)),x95841)),a102)),a84))
% 163.20/162.96 [9585]~P24(f333(f333(f250(a1),x95851),a102))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95851)),x95851)),a102)),a102))
% 163.20/162.96 [9586]~P24(f333(f333(f250(a1),x95861),a84))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95861)),x95861)),a102)),a84))
% 163.20/162.96 [9587]~P24(f333(f333(f250(a1),x95871),a102))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95871)),x95871)),a102)),a102))
% 163.20/162.96 [9588]~P24(f333(f333(f92(a1),x95881),a84))+P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95881)),x95881)),a102)),a84))
% 163.20/162.96 [9592]~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x95921)))+P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95921)),x95921)),a102))))
% 163.20/162.96 [9754]P24(f333(a200,f333(f108(a1),x97541)))+~P24(f333(a200,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97541)),x97541)),a102))))
% 163.20/162.96 [9755]P24(f333(f333(f251(a1),x97551),a84))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97551)),x97551)),a102)),a84))
% 163.20/162.96 [9756]P24(f333(f333(f250(a1),x97561),a84))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97561)),x97561)),a102)),a84))
% 163.20/162.96 [9757]P24(f333(f333(f250(a1),x97571),a102))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97571)),x97571)),a102)),a102))
% 163.20/162.96 [9758]P24(f333(f333(f250(a1),x97581),a102))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97581)),x97581)),a102)),a102))
% 163.20/162.96 [9759]P24(f333(f333(f92(a1),x97591),a84))+~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97591)),x97591)),a102)),a84))
% 163.20/162.96 [9863]~P94(x98631)+E(f333(f333(f81(x98631),f79(x98631)),f79(x98631)),f333(f108(x98631),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))
% 163.20/162.96 [9938]~P143(x99381)+E(f333(f333(f264(x99381),f79(x99381)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(x99381))
% 163.20/162.96 [9939]~P143(x99391)+E(f333(f333(f264(x99391),f2(x99391)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f2(x99391))
% 163.20/162.96 [10076]~P24(f333(f333(f251(a880),f79(a880)),x100761))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f40(a880),x100761),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [10080]~P24(f333(f333(f251(a880),f2(a880)),x100801))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f40(a880),f333(f333(f81(a880),x100801),f79(a880))),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [10099]~E(f46(a880,x100991,f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(a880))+P24(f333(f333(f251(a880),f2(a880)),f46(a880,x100991,f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [10118]E(f46(a880,x101181,f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(a880))+~P24(f333(f333(f251(a880),f2(a880)),f46(a880,x101181,f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [4648]~P40(x46481,x46482)+P57(x46481,x46482)
% 163.20/162.96 [4649]~P45(x46491,x46492)+P57(x46491,x46492)
% 163.20/162.96 [4608]~E(x46081,x46082)+E(f280(x46081,x46082),f79(a104))
% 163.20/162.96 [4611]E(f226(x46111,x46112),x46111)+~E(x46112,f2(a880))
% 163.20/162.96 [4616]P41(x46161,x46162)+~E(x46162,f197(x46161))
% 163.20/162.96 [4619]~E(x46192,f118(x46191))+E(f153(x46191,x46192),f118(x46191))
% 163.20/162.96 [4623]~P41(x46232,x46231)+E(x46231,f197(x46232))
% 163.20/162.96 [4639]~E(f153(x46392,x46391),f118(x46392))+E(x46391,f118(x46392))
% 163.20/162.96 [4653]~P25(x46532)+P25(f890(x46531,x46532))
% 163.20/162.96 [4654]~P26(x46542)+P26(f890(x46541,x46542))
% 163.20/162.96 [4655]~P98(x46552)+P27(f890(x46551,x46552))
% 163.20/162.96 [4656]~P26(x46562)+P101(f890(x46561,x46562))
% 163.20/162.96 [4657]~P67(x46572)+P67(f890(x46571,x46572))
% 163.20/162.96 [4658]~P26(x46582)+P102(f890(x46581,x46582))
% 163.20/162.96 [4659]~P99(x46592)+P99(f890(x46591,x46592))
% 163.20/162.96 [4660]~P29(x46602)+P29(f890(x46601,x46602))
% 163.20/162.96 [4661]~P79(x46612)+P79(f890(x46611,x46612))
% 163.20/162.96 [4662]~P80(x46622)+P80(f890(x46621,x46622))
% 163.20/162.96 [4663]~P107(x46632)+P107(f890(x46631,x46632))
% 163.20/162.96 [4664]~P98(x46642)+P100(f890(x46641,x46642))
% 163.20/162.96 [4665]~P108(x46652)+P108(f890(x46651,x46652))
% 163.20/162.96 [4666]~P110(x46662)+P110(f890(x46661,x46662))
% 163.20/162.96 [4667]~P111(x46672)+P111(f890(x46671,x46672))
% 163.20/162.96 [4668]~P98(x46682)+P98(f890(x46681,x46682))
% 163.20/162.96 [4680]E(x46801,x46802)+~E(f333(a26,x46801),f333(a26,x46802))
% 163.20/162.96 [4682]E(x46821,x46822)+~E(f333(a117,x46821),f333(a117,x46822))
% 163.20/162.96 [4683]E(x46831,x46832)+~E(f333(a111,x46831),f333(a111,x46832))
% 163.20/162.96 [4684]E(x46841,x46842)+~E(f333(a5,x46841),f333(a5,x46842))
% 163.20/162.96 [4686]E(x46861,x46862)+~E(f333(a21,x46861),f333(a21,x46862))
% 163.20/162.96 [4786]~P60(x47861)+E(f46(x47861,x47862,x47862),f2(x47861))
% 163.20/162.96 [4820]~P40(x48201,x48202)+P40(f881(x48201),f146(x48201,x48202))
% 163.20/162.96 [4821]~P40(x48211,x48212)+P40(f881(x48211),f147(x48211,x48212))
% 163.20/162.96 [4916]~P40(x49161,x49162)+P40(f890(x49161,a874),f324(x49161,x49162))
% 163.20/162.96 [4917]~P40(x49171,x49172)+P40(f890(x49171,a874),f325(x49171,x49172))
% 163.20/162.96 [5035]~P30(x50351)+P42(f304(a1,x50351,x50352))
% 163.20/162.96 [5135]~P40(x51351,x51352)+P59(x51351,f69(x51351,x51351,x51352))
% 163.20/162.96 [5637]~P81(x56371)+P21(x56371,x56371,f80(x56371),x56372)
% 163.20/162.96 [4634]~E(x46342,f118(x46341))+E(f333(f169(x46341),x46342),f118(x46341))
% 163.20/162.96 [4635]~E(x46352,f118(x46351))+E(f333(f170(x46351),x46352),f118(x46351))
% 163.20/162.96 [4690]E(x46901,f333(a109,x46902))+~E(f333(f105(a1),x46901),x46902)
% 163.20/162.96 [4693]E(x46931,f118(x46932))+~E(f333(f169(x46932),x46931),f118(x46932))
% 163.20/162.96 [4694]E(x46941,f118(x46942))+~E(f333(f170(x46942),x46941),f118(x46942))
% 163.20/162.96 [4712]~P94(x47121)+E(f333(f108(x47121),x47122),f333(f107(x47121),x47122))
% 163.20/162.96 [4717]~E(x47172,f197(x47171))+E(f241(x47171,x47172),f194(f890(x47171,a874)))
% 163.20/162.96 [4719]~P28(x47191)+P24(f333(f63(x47191),x47192))
% 163.20/162.96 [4726]E(x47261,f197(x47262))+E(f333(f242(x47262),f339(x47262,x47261)),x47261)
% 163.20/162.96 [4727]E(x47271,f197(x47272))+E(f333(f242(x47272),f472(x47272,x47271)),x47271)
% 163.20/162.96 [4729]~E(f623(x47292,x47291),f118(x47291))+E(f180(x47291,x47292),f118(f881(x47291)))
% 163.20/162.96 [4738]~E(x47382,f118(x47381))+E(f333(f173(x47381),x47382),f194(f890(x47381,a874)))
% 163.20/162.96 [4739]~E(x47392,f118(x47391))+E(f194(f890(x47391,a874)),f333(f173(x47391),x47392))
% 163.20/162.96 [4741]E(x47411,x47412)+~E(f333(f105(a1),x47411),f333(f105(a1),x47412))
% 163.20/162.96 [4744]E(f224(x47441,x47442),f2(a880))+P24(f333(f63(x47441),x47442))
% 163.20/162.96 [4764]~P120(x47641)+E(f83(x47641,f83(x47641,x47642)),f83(x47641,x47642))
% 163.20/162.96 [4777]~P115(x47771)+E(f333(f333(f264(x47771),x47772),f79(a880)),x47772)
% 163.20/162.96 [4778]~P83(x47781)+E(f333(f333(f264(x47781),x47782),f79(a880)),x47782)
% 163.20/162.96 [4780]E(x47801,x47802)+E(f280(x47801,x47802),f333(f333(f81(a104),x47802),f79(a104)))
% 163.20/162.96 [4783]E(f333(f39(x47831),x47832),f2(a880))+P24(f333(f63(x47831),x47832))
% 163.20/162.96 [4787]~E(f153(x47871,x47872),x47872)+P24(f333(f138(x47871),x47872))
% 163.20/162.96 [4790]~P27(x47901)+E(f333(f333(f115(x47901),x47902),f194(x47901)),x47902)
% 163.20/162.96 [4791]~P75(x47911)+E(f333(f333(f3(x47911),x47912),f2(x47911)),x47912)
% 163.20/162.96 [4792]~P100(x47921)+E(f333(f333(f106(x47921),x47922),f258(x47921)),x47922)
% 163.20/162.96 [4793]~P69(x47931)+E(f333(f333(f81(x47931),x47932),f2(x47931)),x47932)
% 163.20/162.96 [4794]~P115(x47941)+E(f333(f333(f81(x47941),x47942),f2(x47941)),x47942)
% 163.20/162.96 [4795]~P84(x47951)+E(f333(f333(f81(x47951),x47952),f2(x47951)),x47952)
% 163.20/162.96 [4796]~P115(x47961)+E(f333(f333(f82(x47961),x47962),f79(x47961)),x47962)
% 163.20/162.96 [4797]~P76(x47971)+E(f333(f333(f82(x47971),x47972),f79(x47971)),x47972)
% 163.20/162.96 [4798]~P83(x47981)+E(f333(f333(f82(x47981),x47982),f79(x47981)),x47982)
% 163.20/162.96 [4799]~P118(x47991)+E(f333(f333(f291(x47991),x47992),f79(x47991)),x47992)
% 163.20/162.96 [4800]~P60(x48001)+E(f333(f333(f40(x48001),x48002),f79(x48001)),x48002)
% 163.20/162.96 [4801]~P115(x48011)+E(f333(f333(f264(x48011),x48012),f2(a880)),f79(x48011))
% 163.20/162.96 [4802]~P113(x48021)+E(f333(f333(f264(x48021),x48022),f2(a880)),f79(x48021))
% 163.20/162.96 [4803]~E(x48032,f194(f890(x48031,a874)))+E(f333(f39(x48031),x48032),f2(a880))
% 163.20/162.96 [4814]~P60(x48141)+E(f46(x48141,x48142,f2(x48141)),x48142)
% 163.20/162.96 [4822]~P100(x48221)+E(f333(f333(f115(x48221),x48222),f258(x48221)),f258(x48221))
% 163.20/162.96 [4823]~P27(x48231)+E(f333(f333(f106(x48231),x48232),f194(x48231)),f194(x48231))
% 163.20/162.96 [4824]~P115(x48241)+E(f333(f333(f82(x48241),x48242),f2(x48241)),f2(x48241))
% 163.20/162.96 [4825]~P128(x48251)+E(f333(f333(f82(x48251),x48252),f2(x48251)),f2(x48251))
% 163.20/162.96 [4826]~P119(x48261)+E(f333(f333(f291(x48261),x48262),f2(x48261)),f2(x48261))
% 163.20/162.96 [4827]~P60(x48271)+E(f333(f333(f40(x48271),x48272),f2(x48271)),f2(x48271))
% 163.20/162.96 [4828]E(x48281,f197(x48282))+~E(f241(x48282,x48281),f194(f890(x48282,a874)))
% 163.20/162.96 [4831]~P60(x48311)+E(f46(x48311,x48312,f79(x48311)),f2(x48311))
% 163.20/162.96 [4832]~P60(x48321)+E(f46(x48321,f2(x48321),x48322),f2(x48321))
% 163.20/162.96 [4859]E(x48591,f2(a880))+E(f56(x48592,x48591,f118(x48592)),f118(f881(x48592)))
% 163.20/162.96 [4883]P40(x48831,x48832)+~E(f722(x48832,x48831),f194(f890(x48831,a874)))
% 163.20/162.96 [4884]E(x48841,f118(x48842))+~E(f333(f173(x48842),x48841),f194(f890(x48842,a874)))
% 163.20/162.96 [4885]E(x48851,f118(x48852))+~E(f194(f890(x48852,a874)),f333(f173(x48852),x48851))
% 163.20/162.96 [4888]~E(x48881,x48882)+P24(f333(f333(a330,x48881),x48882))
% 163.20/162.96 [4898]P24(x48981)+P24(f333(f333(a336,x48981),x48982))
% 163.20/162.96 [4899]E(x48991,f118(x48992))+E(f333(f333(f166(x48992),x48991),f2(a880)),f333(f142(x48992),x48991))
% 163.20/162.96 [4902]E(f153(x49021,x49022),x49022)+~P24(f333(f138(x49021),x49022))
% 163.20/162.96 [4907]~P24(x49072)+P24(f333(f333(a336,x49071),x49072))
% 163.20/162.96 [4908]~P24(x49082)+P24(f333(f333(a332,x49081),x49082))
% 163.20/162.96 [4909]~P24(x49091)+P24(f333(f333(a332,x49091),x49092))
% 163.20/162.96 [4919]~E(f554(x49192,x49191),f580(x49192,x49191))+P24(f333(f138(x49191),x49192))
% 163.20/162.96 [4927]E(f333(f255(x49271),x49272),f194(f890(x49271,a874)))+P24(f333(x49272,f555(x49272)))
% 163.20/162.96 [4928]E(f194(f890(x49281,a874)),f333(f255(x49281),x49282))+P24(f333(x49282,f567(x49282)))
% 163.20/162.96 [4992]~P120(x49921)+E(f333(f333(f82(x49921),x49922),f83(x49921,x49922)),f333(f76(x49921),x49922))
% 163.20/162.96 [5003]~E(x50031,f2(a1))+E(f47(x50031,x50032),f333(f333(f263(a1,a1),f2(a1)),f2(a1)))
% 163.20/162.96 [5034]~P57(x50341,x50342)+P57(x50341,f333(f288(x50341,x50341),x50342))
% 163.20/162.96 [5052]~E(f333(a28,x50521),f333(f242(a875),x50522))+P24(f333(a25,f333(a26,x50521)))
% 163.20/162.96 [5057]E(x50571,x50572)+~P24(f333(f333(a330,x50571),x50572))
% 163.20/162.96 [5061]~P24(f333(a25,x50612))+P24(f333(a25,f33(x50611,x50612)))
% 163.20/162.96 [5070]P24(x50701)+~P24(f333(f333(a331,x50702),x50701))
% 163.20/162.96 [5071]P24(x50711)+~P24(f333(f333(a331,x50711),x50712))
% 163.20/162.96 [5075]~P107(x50751)+P24(f333(f333(f250(x50751),x50752),f258(x50751)))
% 163.20/162.96 [5079]E(x50791,x50792)+~E(f333(x50791,f412(x50792,x50791)),f333(x50792,f412(x50792,x50791)))
% 163.20/162.96 [5108]E(x51081,f2(a880))+E(f226(x51081,f46(a880,x51082,x51081)),f226(x51082,x51081))
% 163.20/162.96 [5113]~P109(x51131)+P31(x51131,f333(f333(f152(x51131),x51132),f118(x51131)))
% 163.20/162.96 [5115]E(x51151,f2(a1))+P24(f333(f50(x51152,x51151),f47(x51152,x51151)))
% 163.20/162.96 [5133]~E(x51331,x51332)+P24(f333(f333(f251(a880),x51331),f333(a117,x51332)))
% 163.20/162.96 [5143]~E(x51431,f2(a880))+P24(f333(f333(f251(a880),x51431),f333(a117,x51432)))
% 163.20/162.96 [5152]P24(f333(x51521,x51522))+P24(f333(f333(f250(a1),f2(a1)),f342(x51521)))
% 163.20/162.96 [5189]P24(f333(a25,x51891))+~P24(f333(a25,f33(x51892,x51891)))
% 163.20/162.96 [5191]P24(f333(a25,x51911))+~P24(f333(a25,f34(x51912,x51911)))
% 163.20/162.96 [5193]P24(f333(a25,x51931))+~P24(f333(a25,f34(x51931,x51932)))
% 163.20/162.96 [5225]P57(x52251,x52252)+~P57(x52251,f333(f288(x52251,x52251),x52252))
% 163.20/162.96 [5228]~E(f46(a880,x52282,x52281),f2(a880))+E(f333(f333(f82(a880),x52281),f403(x52281,x52282)),x52282)
% 163.20/162.96 [5229]~E(f46(a1,x52292,x52291),f2(a1))+E(f333(f333(f82(a1),x52291),f343(x52291,x52292)),x52292)
% 163.20/162.96 [5256]~P24(f333(x52561,x52562))+P24(f333(f333(f250(a1),f2(a1)),f341(x52561)))
% 163.20/162.96 [5268]E(f333(f333(f3(a880),f333(a109,x52681)),f333(a109,x52682)),f333(a109,x52681))+~P24(f333(a200,x52682))
% 163.20/162.96 [5300]E(f281(x53001,x53002),f79(a104))+~P24(f333(f333(f250(a104),x53001),f79(a104)))
% 163.20/162.96 [5393]E(f333(f333(f166(x53931),x53932),f554(x53932,x53931)),f333(f333(f166(x53931),x53932),f580(x53932,x53931)))+P24(f333(f138(x53931),x53932))
% 163.20/162.96 [5438]~P24(f333(x54381,f91(x54382,x54381)))+P24(f333(x54381,f584(x54382,x54381)))
% 163.20/162.96 [5501]P59(x55011,x55012)+~P24(f333(f321(x55011,x55012),f679(x55012,x55011)))
% 163.20/162.96 [5644]~E(f333(a117,f46(a880,x56441,x56442)),x56442)+E(f46(a880,f333(a117,x56441),x56442),f2(a880))
% 163.20/162.96 [5701]P40(x57011,x57012)+P24(f333(f333(f335(x57011),f784(x57012,x57011)),f785(x57012,x57011)))
% 163.20/162.96 [5708]~P94(x57081)+P24(f333(f333(f335(x57081),f333(f108(x57081),x57082)),f114(x57081)))
% 163.20/162.96 [5709]~P140(x57091)+P24(f333(f333(f335(x57091),f333(f105(x57091),x57092)),f114(x57091)))
% 163.20/162.96 [5710]~P143(x57101)+P24(f333(f333(f335(x57101),f333(f105(x57101),x57102)),f192(x57101)))
% 163.20/162.96 [5711]~P140(x57111)+P24(f333(f333(f335(x57111),f333(f107(x57111),x57112)),f114(x57111)))
% 163.20/162.96 [5855]E(f333(a117,f46(a880,x58551,x58552)),x58552)+E(f46(a880,f333(a117,x58551),x58552),f333(a117,f46(a880,x58551,x58552)))
% 163.20/162.96 [6270]P40(x62701,x62702)+~P24(f333(f333(f335(x62701),f680(x62702,x62701)),f322(x62701,x62702)))
% 163.20/162.96 [6304]~P123(x63041)+~P24(f333(f333(f251(x63041),f333(f105(x63041),x63042)),f2(x63041)))
% 163.20/162.96 [6305]~P87(x63051)+~P24(f333(f333(f251(x63051),f333(f76(x63051),x63052)),f2(x63051)))
% 163.20/162.96 [6392]P24(f333(f333(f251(a1),x63921),f46(a1,x63922,x63921)))+~P24(f333(f333(f251(a1),x63921),f2(a1)))
% 163.20/162.96 [6490]E(f333(f333(f311(a880),f333(a117,x64901)),f304(a880,x64902,x64901)),f304(a880,x64902,f333(a117,x64901)))+~P24(f333(f333(f250(a880),x64902),f333(a117,x64901)))
% 163.20/162.96 [6574]~P109(x65741)+P31(x65741,f151(x65741,x65741,f7(x65741),x65742))
% 163.20/162.96 [6704]E(f333(f169(x67041),x67042),x67042)+~P24(f333(f333(f250(a880),f333(f195(f881(x67041)),x67042)),f79(a880)))
% 163.20/162.96 [6724]~P87(x67241)+P24(f333(f333(f250(x67241),f333(f80(x67241),f333(f76(x67241),x67242))),f2(x67241)))
% 163.20/162.96 [6757]~P40(x67571,x67572)+P40(x67571,f333(f333(f290(x67571,x67571,x67571),x67572),f309(x67571,x67572)))
% 163.20/162.96 [6969]~P24(f333(f333(f251(a1),x69692),f2(a1)))+P24(f333(f333(f250(a1),f46(a1,x69691,x69692)),f2(a1)))
% 163.20/162.96 [7355]~P143(x73551)+E(f196(x73551,f333(f333(f9(x73551,x73551,x73551),f81(x73551)),f79(x73551)),x73552,f2(x73551)),f333(f105(x73551),x73552))
% 163.20/162.96 [7382]~P125(x73821)+~P24(f333(f333(f251(x73821),f333(f333(f82(x73821),x73822),x73822)),f2(x73821)))
% 163.20/162.96 [10152]~P120(x101521)+~P24(f333(f333(f251(x101521),f333(f333(f264(x101521),x101522),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f2(x101521)))
% 163.20/162.96 [4691]~E(x46912,f118(x46911))+E(f333(f195(f881(x46911)),x46912),f2(a880))
% 163.20/162.96 [4730]~E(x47301,f2(a880))+E(f333(f333(f81(a880),x47301),x47302),x47302)
% 163.20/162.96 [4731]~E(x47312,f2(a880))+E(f333(f333(f82(a880),x47311),x47312),f2(a880))
% 163.20/162.96 [4733]~E(x47331,f2(a880))+E(f333(f333(f82(a880),x47331),x47332),f2(a880))
% 163.20/162.96 [4734]~E(x47342,f2(a1))+E(f333(f333(f40(a1),x47341),x47342),f2(a1))
% 163.20/162.96 [4735]~E(x47352,f2(a880))+E(f333(f333(f264(a880),x47351),x47352),f79(a880))
% 163.20/162.96 [4745]E(x47451,f118(x47452))+~E(f333(f195(f881(x47452)),x47451),f2(a880))
% 163.20/162.96 [4746]~P26(x47461)+E(f333(f333(f115(x47461),x47462),x47462),x47462)
% 163.20/162.96 [4748]~P101(x47481)+E(f333(f333(f115(x47481),x47482),x47482),x47482)
% 163.20/162.96 [4749]~P26(x47491)+E(f333(f333(f106(x47491),x47492),x47492),x47492)
% 163.20/162.96 [4751]~P102(x47511)+E(f333(f333(f106(x47511),x47512),x47512),x47512)
% 163.20/162.96 [4753]~P97(x47531)+E(f333(f333(f82(x47531),x47532),x47532),x47532)
% 163.20/162.96 [4755]~P109(x47551)+E(f333(f333(f248(x47551),x47552),x47552),x47552)
% 163.20/162.96 [4757]~P109(x47571)+E(f333(f333(f249(x47571),x47572),x47572),x47572)
% 163.20/162.96 [4776]~P75(x47761)+E(f333(f333(f3(x47761),x47762),x47762),f2(x47761))
% 163.20/162.96 [4788]~P79(x47881)+E(f333(f80(x47881),f333(f80(x47881),x47882)),x47882)
% 163.20/162.96 [4789]~P75(x47891)+E(f333(f80(x47891),f333(f80(x47891),x47892)),x47892)
% 163.20/162.96 [4806]~E(x48062,f2(a880))+E(f333(f333(f264(a880),x48061),x48062),f333(a117,f2(a880)))
% 163.20/162.96 [4840]~P27(x48401)+E(f333(f333(f115(x48401),f194(x48401)),x48402),x48402)
% 163.20/162.96 [4841]~P100(x48411)+E(f333(f333(f106(x48411),f258(x48411)),x48412),x48412)
% 163.20/162.96 [4842]~P69(x48421)+E(f333(f333(f81(x48421),f2(x48421)),x48422),x48422)
% 163.20/162.96 [4843]~P115(x48431)+E(f333(f333(f81(x48431),f2(x48431)),x48432),x48432)
% 163.20/162.96 [4844]~P84(x48441)+E(f333(f333(f81(x48441),f2(x48441)),x48442),x48442)
% 163.20/162.96 [4845]~P115(x48451)+E(f333(f333(f82(x48451),f79(x48451)),x48452),x48452)
% 163.20/162.96 [4846]~P76(x48461)+E(f333(f333(f82(x48461),f79(x48461)),x48462),x48462)
% 163.20/162.96 [4847]~P83(x48471)+E(f333(f333(f82(x48471),f79(x48471)),x48472),x48472)
% 163.20/162.96 [4864]~P100(x48641)+E(f333(f333(f115(x48641),f258(x48641)),x48642),f258(x48641))
% 163.20/162.96 [4865]~P27(x48651)+E(f333(f333(f106(x48651),f194(x48651)),x48652),f194(x48651))
% 163.20/162.96 [4866]~P115(x48661)+E(f333(f333(f82(x48661),f2(x48661)),x48662),f2(x48661))
% 163.20/162.96 [4867]~P128(x48671)+E(f333(f333(f82(x48671),f2(x48671)),x48672),f2(x48671))
% 163.20/162.96 [4868]~P118(x48681)+E(f333(f333(f291(x48681),f2(x48681)),x48682),f2(x48681))
% 163.20/162.96 [4869]~P60(x48691)+E(f333(f333(f40(x48691),f2(x48691)),x48692),f2(x48691))
% 163.20/162.96 [4870]~P83(x48701)+E(f333(f333(f264(x48701),f79(x48701)),x48702),f79(x48701))
% 163.20/162.96 [4878]E(x48781,f118(x48782))+E(f145(x48782,f333(f170(x48782),x48781)),f333(f142(x48782),x48781))
% 163.20/162.96 [4879]E(x48791,f118(x48792))+E(f333(f142(x48792),f333(f170(x48792),x48791)),f145(x48792,x48791))
% 163.20/162.96 [4880]E(x48801,f2(a880))+~E(f333(f333(f81(a880),x48802),x48801),x48802)
% 163.20/162.96 [4886]~P94(x48861)+E(f333(f107(x48861),f333(f108(a1),x48862)),f333(f108(x48861),x48862))
% 163.20/162.96 [4887]~P140(x48871)+E(f333(f107(x48871),f333(f105(a1),x48872)),f333(f105(x48871),x48872))
% 163.20/162.96 [4894]E(x48941,f79(a880))+~E(f333(f333(f82(a880),x48942),x48941),f79(a880))
% 163.20/162.96 [4895]E(x48951,f79(a880))+~E(f333(f333(f82(a880),x48951),x48952),f79(a880))
% 163.20/162.96 [4896]E(x48961,f2(a880))+~E(f333(f333(f81(a880),x48962),x48961),f2(a880))
% 163.20/162.96 [4897]E(x48971,f2(a880))+~E(f333(f333(f81(a880),x48971),x48972),f2(a880))
% 163.20/162.96 [4912]~P87(x49121)+E(f333(f76(x49121),f333(f80(x49121),x49122)),f333(f76(x49121),x49122))
% 163.20/162.96 [4913]~P120(x49131)+E(f333(f76(x49131),f333(f105(x49131),x49132)),f333(f105(x49131),x49132))
% 163.20/162.96 [4914]~P87(x49141)+E(f333(f76(x49141),f333(f76(x49141),x49142)),f333(f76(x49141),x49142))
% 163.20/162.96 [4915]~P69(x49151)+E(f333(f167(x49151),f333(f170(x49151),x49152)),f333(f167(x49151),x49152))
% 163.20/162.96 [4920]~E(x49201,f333(a117,f2(a880)))+E(f333(f333(f264(a880),x49201),x49202),f333(a117,f2(a880)))
% 163.20/162.96 [4930]~P75(x49301)+E(f333(f333(f3(x49301),f2(x49301)),x49302),f333(f80(x49301),x49302))
% 163.20/162.96 [4931]~E(x49312,f2(a880))+E(f140(a880,f333(f303(a880,x49311),x49312)),f118(a880))
% 163.20/162.96 [4940]~P94(x49401)+E(f333(f333(f81(x49401),x49402),f333(f108(x49401),a84)),x49402)
% 163.20/162.96 [4941]E(x49411,f2(a1))+E(f48(f333(f76(a1),x49412),f333(f76(a1),x49411)),f54(x49412,x49411))
% 163.20/162.96 [4955]~E(x49551,x49552)+P24(f333(f333(f250(a880),x49551),x49552))
% 163.20/162.96 [4962]~E(x49621,f2(a104))+E(f333(f333(f81(a880),f333(a21,x49621)),x49622),x49622)
% 163.20/162.96 [4972]~P30(x49721)+P30(f333(f333(f264(a1),x49721),x49722))
% 163.20/162.96 [4973]~P79(x49731)+E(f333(f333(f115(x49731),x49732),f333(f80(x49731),x49732)),f258(x49731))
% 163.20/162.96 [4974]~P79(x49741)+E(f333(f333(f106(x49741),x49742),f333(f80(x49741),x49742)),f194(x49741))
% 163.20/162.96 [4975]~P75(x49751)+E(f333(f333(f81(x49751),x49752),f333(f80(x49751),x49752)),f2(x49751))
% 163.20/162.96 [5000]E(x50001,f2(a880))+~E(f333(f80(a1),f333(f105(a1),x50002)),f333(f105(a1),x50001))
% 163.20/162.96 [5001]E(x50011,f2(a880))+~E(f333(f80(a1),f333(f105(a1),x50011)),f333(f105(a1),x50012))
% 163.20/162.96 [5011]E(f202(x50111,x50112),f2(a1))+P24(f333(f333(f250(a1),x50112),x50111))
% 163.20/162.96 [5012]E(f179(x50121,x50122),f118(a1))+P24(f333(f333(f250(a1),x50121),x50122))
% 163.20/162.96 [5025]E(x50251,f333(a117,f2(a880)))+~E(f333(f333(f82(a880),x50252),x50251),f333(a117,f2(a880)))
% 163.20/162.96 [5026]E(x50261,f333(a117,f2(a880)))+~E(f333(f333(f82(a880),x50261),x50262),f333(a117,f2(a880)))
% 163.20/162.96 [5027]~P108(x50271)+P24(f333(f333(f250(x50271),x50272),x50272))
% 163.20/162.96 [5028]~P96(x50281)+P24(f333(f333(f92(x50281),x50282),x50282))
% 163.20/162.96 [5031]~P94(x50311)+E(f333(f333(f82(x50311),x50312),f333(f108(x50311),a102)),f333(f80(x50311),x50312))
% 163.20/162.96 [5049]~P94(x50491)+E(f333(f80(x50491),f333(f108(x50491),x50492)),f333(f108(x50491),f333(f80(a1),x50492)))
% 163.20/162.96 [5050]~P140(x50501)+E(f333(f80(x50501),f333(f107(x50501),x50502)),f333(f107(x50501),f333(f80(a1),x50502)))
% 163.20/162.96 [5080]~E(x50801,f333(a117,x50802))+P24(f333(f333(f251(a880),f2(a880)),x50801))
% 163.20/162.96 [5097]~P109(x50971)+E(f333(f80(f890(x50971,a874)),f333(f256(x50971),x50972)),f333(f257(x50971),x50972))
% 163.20/162.96 [5098]~P109(x50981)+E(f333(f80(f890(x50981,a874)),f333(f302(x50981),x50982)),f333(f305(x50981),x50982))
% 163.20/162.96 [5099]~P109(x50991)+E(f333(f80(f890(x50991,a874)),f333(f305(x50991),x50992)),f333(f302(x50991),x50992))
% 163.20/162.96 [5100]~P109(x51001)+E(f333(f80(f890(x51001,a874)),f333(f257(x51001),x51002)),f333(f256(x51001),x51002))
% 163.20/162.96 [5107]~E(f333(f105(a1),x51072),x51071)+P24(f333(f333(f250(a1),f2(a1)),x51071))
% 163.20/162.96 [5114]~E(x51142,f2(a1))+E(f54(x51141,x51142),f333(f333(f263(a1,a1),f2(a1)),f333(f76(a1),x51141)))
% 163.20/162.96 [5116]~P25(x51161)+P24(f333(f333(f250(x51161),f194(x51161)),x51162))
% 163.20/162.96 [5151]~P24(f333(x51511,x51512))+P24(f333(x51511,f333(a109,f341(x51511))))
% 163.20/162.96 [5177]~P120(x51771)+E(f333(f333(f82(x51771),f83(x51771,x51772)),f333(f76(x51771),x51772)),x51772)
% 163.20/162.96 [5178]E(x51781,x51782)+~P24(f333(f333(f201(a24),x51781),x51782))
% 163.20/162.96 [5187]~E(x51872,f2(a880))+E(f86(f889(a880,a880),f49(x51871,x51872)),f333(f333(f263(a880,a880),f2(a880)),x51871))
% 163.20/162.96 [5198]~E(x51981,x51982)+~P24(f333(f333(f251(a880),x51981),x51982))
% 163.20/162.96 [5199]~E(x51991,x51992)+~P24(f333(f333(f251(a1),x51991),x51992))
% 163.20/162.96 [5202]~P143(x52021)+E(f333(f333(f81(x52021),f79(x52021)),f333(f105(x52021),x52022)),f333(f105(x52021),f333(a117,x52022)))
% 163.20/162.96 [5206]~E(x52061,f2(a880))+~P24(f333(f333(f251(a880),x52062),x52061))
% 163.20/162.96 [5222]E(f153(x52221,x52222),x52222)+~E(f333(f195(f881(x52221)),f153(x52221,x52222)),f333(f195(f881(x52221)),x52222))
% 163.20/162.96 [5223]E(f333(f39(x52231),f333(f173(x52231),x52232)),f333(f195(f881(x52231)),x52232))+~P24(f333(f138(x52231),x52232))
% 163.20/162.96 [5233]~P24(f333(x52331,f344(x52331)))+P24(f333(x52331,f333(f105(a1),x52332)))
% 163.20/162.96 [5244]E(f281(x52441,x52442),f79(a104))+~P24(f333(f333(f251(a104),x52442),x52441))
% 163.20/162.96 [5245]E(f179(x52451,x52452),f118(a1))+~P24(f333(f333(f251(a1),x52452),x52451))
% 163.20/162.96 [5246]E(f135(x52461,x52462),f120(a1))+~P24(f333(f333(f251(a1),x52461),x52462))
% 163.20/162.96 [5249]~P110(x52491)+E(f304(x52491,x52492,x52492),f333(f333(f311(x52491),x52492),f194(f890(x52491,a874))))
% 163.20/162.96 [5271]~E(f333(f333(f3(a880),x52711),x52712),f2(a880))+P24(f333(f333(f250(a880),x52711),x52712))
% 163.20/162.96 [5272]~E(f333(f333(f3(a1),x52721),x52722),f2(a1))+P24(f333(f333(f92(a1),x52721),x52722))
% 163.20/162.96 [5297]~E(x52972,f2(a880))+E(f56(x52971,x52972,f118(x52971)),f333(f333(f152(f881(x52971)),f118(x52971)),f118(f881(x52971))))
% 163.20/162.96 [5301]~P108(x53011)+~P24(f333(f333(f251(x53011),x53012),x53012))
% 163.20/162.96 [5304]~E(f46(a1,x53041,x53042),f2(a1))+E(f46(a1,x53041,f333(f80(a1),x53042)),f2(a1))
% 163.20/162.96 [5306]~E(f46(a1,x53061,x53062),f2(a1))+E(f46(a1,f333(f80(a1),x53061),x53062),f2(a1))
% 163.20/162.96 [5314]E(f333(f303(a880,x53141),f333(a117,x53142)),f194(f890(a880,a874)))+P24(f333(f333(f250(a880),x53141),x53142))
% 163.20/162.96 [5334]E(f140(a880,f333(f303(a880,x53341),x53342)),f118(a880))+P24(f333(f333(f251(a880),x53341),x53342))
% 163.20/162.96 [5339]~E(f333(f39(x53391),f333(f173(x53391),x53392)),f333(f195(f881(x53391)),x53392))+P24(f333(f138(x53391),x53392))
% 163.20/162.96 [5344]~P24(f333(f138(x53441),x53442))+P24(f333(f138(x53441),f333(f169(x53441),x53442)))
% 163.20/162.96 [5345]~P24(f333(f138(x53451),x53452))+P24(f333(f138(x53451),f333(f172(x53451),x53452)))
% 163.20/162.96 [5346]~P24(f333(f138(x53461),x53462))+P24(f333(f138(x53461),f333(f170(x53461),x53462)))
% 163.20/162.96 [5353]P24(f333(x53531,x53532))+~P24(f333(x53531,f333(a109,f342(x53531))))
% 163.20/162.96 [5354]P24(f333(f333(f250(a880),x53542),x53541))+P24(f333(f333(f250(a880),x53541),x53542))
% 163.20/162.96 [5355]P24(f333(f333(f250(a1),x53552),x53551))+P24(f333(f333(f250(a1),x53551),x53552))
% 163.20/162.96 [5357]~P87(x53571)+P24(f333(f333(f250(x53571),x53572),f333(f76(x53571),x53572)))
% 163.20/162.96 [5360]P24(f333(x53601,f386(x53601)))+~P24(f333(x53601,f333(f105(a1),x53602)))
% 163.20/162.96 [5385]E(f333(f333(f3(a880),x53851),x53852),f2(a880))+~P24(f333(f333(f250(a880),x53851),x53852))
% 163.20/162.96 [5386]E(f333(f333(f3(a1),x53861),x53862),f2(a1))+~P24(f333(f333(f92(a1),x53861),x53862))
% 163.20/162.96 [5387]E(f333(f333(f40(a880),x53871),x53872),f2(a880))+~P24(f333(f333(f251(a880),x53871),x53872))
% 163.20/162.96 [5405]E(f46(a880,x54051,x54052),x54051)+~P24(f333(f333(f251(a880),x54051),x54052))
% 163.20/162.96 [5414]E(f46(a1,x54141,f333(f80(a1),x54142)),f292(x54141,x54142))+P24(f333(f333(f250(a1),f2(a1)),x54142))
% 163.20/162.96 [5426]E(f333(f333(f3(a1),x54261),x54262),f202(x54261,x54262))+~P24(f333(f333(f250(a1),x54262),x54261))
% 163.20/162.96 [5445]P24(f333(f333(f250(a1),f2(a1)),f344(x54451)))+P24(f333(x54451,f333(f105(a1),x54452)))
% 163.20/162.96 [5457]~P62(x54571)+P24(f333(f333(f335(x54571),x54572),f333(f173(x54571),f57(x54571))))
% 163.20/162.96 [5459]~P123(x54591)+P24(f333(f333(f250(x54591),f2(x54591)),f333(f105(x54591),x54592)))
% 163.20/162.96 [5460]~P87(x54601)+P24(f333(f333(f250(x54601),f2(x54601)),f333(f76(x54601),x54602)))
% 163.20/162.96 [5487]E(f333(f333(f81(a880),x54871),f345(x54872,x54871)),x54872)+~P24(f333(f333(f250(a880),x54871),x54872))
% 163.20/162.96 [5502]E(f304(a1,x55021,x55022),f194(f890(a1,a874)))+~P24(f333(f333(f251(a1),x55022),x55021))
% 163.20/162.96 [5505]~P120(x55051)+E(f333(f333(f82(x55051),f333(f76(x55051),x55052)),f333(f76(x55051),x55052)),f333(f333(f82(x55051),x55052),x55052))
% 163.20/162.96 [5510]E(f140(a880,f333(f303(a880,x55101),f333(a117,x55102))),f118(a880))+P24(f333(f333(f250(a880),x55101),x55102))
% 163.20/162.96 [5512]E(f333(f333(f40(a1),x55121),x55122),f293(x55121,x55122))+~P24(f333(f333(f250(a1),f2(a1)),x55122))
% 163.20/162.96 [5532]P24(f333(f138(x55321),x55322))+~P24(f333(f138(x55321),f333(f169(x55321),x55322)))
% 163.20/162.96 [5533]P24(f333(f138(x55331),x55332))+~P24(f333(f138(x55331),f333(f170(x55331),x55332)))
% 163.20/162.96 [5554]P24(f333(f63(a880),x55541))+P24(f333(f333(f335(a880),f362(x55541,x55542)),x55541))
% 163.20/162.96 [5555]P24(f333(f63(a880),x55551))+P24(f333(f333(f335(a880),f371(x55551,x55552)),x55551))
% 163.20/162.96 [5556]P24(f333(f333(f251(a880),x55562),f333(a117,x55561)))+P24(f333(f333(f251(a880),x55561),x55562))
% 163.20/162.96 [5557]E(f46(a1,x55571,x55572),f292(x55571,x55572))+~P24(f333(f333(f250(a1),f2(a1)),x55572))
% 163.20/162.96 [5560]E(f140(a880,f333(f303(a880,x55601),x55602)),f118(a880))+~P24(f333(f333(f250(a880),x55602),x55601))
% 163.20/162.96 [5561]~P81(x55611)+E(f333(f312(x55611,x55611,f80(x55611)),f333(f256(x55611),x55612)),f333(f305(x55611),f333(f80(x55611),x55612)))
% 163.20/162.96 [5562]~P81(x55621)+E(f333(f312(x55621,x55621,f80(x55621)),f333(f302(x55621),x55622)),f333(f257(x55621),f333(f80(x55621),x55622)))
% 163.20/162.96 [5563]~P81(x55631)+E(f333(f312(x55631,x55631,f80(x55631)),f333(f305(x55631),x55632)),f333(f256(x55631),f333(f80(x55631),x55632)))
% 163.20/162.96 [5564]~P81(x55641)+E(f333(f312(x55641,x55641,f80(x55641)),f333(f257(x55641),x55642)),f333(f302(x55641),f333(f80(x55641),x55642)))
% 163.20/162.96 [5575]E(x55751,f194(f890(x55752,a874)))+P24(f333(f333(f335(x55752),f768(x55751,x55752)),x55751))
% 163.20/162.96 [5576]E(x55761,f194(f890(x55762,a874)))+P24(f333(f333(f335(x55762),f670(x55761,x55762)),x55761))
% 163.20/162.96 [5587]~P24(f333(f333(f251(a880),x55871),x55872))+P24(f333(f333(f250(a880),x55871),x55872))
% 163.20/162.96 [5588]~P24(f333(f333(f251(a1),x55881),x55882))+P24(f333(f333(f250(a1),x55881),x55882))
% 163.20/162.96 [5604]E(f48(x56041,x56042),f333(f333(f263(a1,a1),f2(a1)),x56041))+~P24(f333(f333(f251(a1),x56041),x56042))
% 163.20/162.96 [5605]E(f225(f333(f80(a1),x56051),f333(f80(a1),x56052)),f225(x56051,x56052))+~P24(f333(f333(f251(a1),x56052),f2(a1)))
% 163.20/162.96 [5618]E(x56181,x56182)+~E(f333(a5,f333(a117,f333(a21,x56181))),f333(a5,f333(a117,f333(a21,x56182))))
% 163.20/162.96 [5623]E(f48(x56231,x56232),f333(f333(f263(a1,a1),f2(a1)),x56231))+~P24(f333(f333(f250(a1),x56232),f2(a1)))
% 163.20/162.96 [5650]E(f46(a880,f333(f108(a880),x56501),f333(f108(a880),x56502)),f2(a880))+~P24(f333(a200,f333(f108(a1),x56501)))
% 163.20/162.96 [5665]P24(f333(f333(f250(a1),f2(a1)),f386(x56651)))+~P24(f333(x56651,f333(f105(a1),x56652)))
% 163.20/162.96 [5699]P42(f304(a1,x56991,x56992))+~P24(f333(f333(f250(a1),f2(a1)),x56991))
% 163.20/162.96 [5704]~P24(f333(f63(x57041),x57042))+P24(f333(f63(f890(x57041,a874)),f333(f310(x57041),x57042)))
% 163.20/162.96 [5717]E(f333(f333(f81(a1),x57171),f333(f105(a1),f392(x57172,x57171))),x57172)+~P24(f333(f333(f250(a1),x57171),x57172))
% 163.20/162.96 [5725]P24(f333(f333(f250(a880),x57251),x57252))+P24(f333(f333(f250(a880),f333(a117,x57252)),x57251))
% 163.20/162.96 [5769]E(f333(f333(f40(a880),f333(f108(a880),x57691)),f333(f108(a880),x57692)),f2(a880))+~P24(f333(a200,f333(f108(a1),x57691)))
% 163.20/162.96 [5770]E(f333(f333(f82(a880),f333(f108(a880),x57701)),f333(f108(a880),x57702)),f2(a880))+~P24(f333(f333(f251(a1),x57701),a84))
% 163.20/162.96 [5772]P24(f333(f333(f251(a880),x57721),f333(a117,x57722)))+~P24(f333(f333(f251(a880),x57721),x57722))
% 163.20/162.96 [5774]P24(f333(f333(f251(a880),x57741),f333(a117,x57742)))+~P24(f333(f333(f250(a880),x57741),x57742))
% 163.20/162.96 [5776]P24(f333(f333(f250(a880),x57761),f333(a117,x57762)))+~P24(f333(f333(f250(a880),x57761),x57762))
% 163.20/162.96 [5779]~E(x57791,x57792)+P24(f333(f333(f251(a1),x57791),f333(f333(f81(a1),x57792),f79(a1))))
% 163.20/162.96 [5782]E(f46(a1,x57821,x57822),f2(a1))+E(f333(f333(f3(a1),x57822),f46(a1,x57821,x57822)),f46(a1,f333(f80(a1),x57821),x57822))
% 163.20/162.96 [5791]E(x57911,f118(x57912))+P24(f333(f333(f335(x57912),f145(x57912,x57911)),f333(f173(x57912),x57911)))
% 163.20/162.96 [5803]E(f86(f889(a880,a880),f49(x58031,x58032)),f333(f333(f263(a880,a880),f2(a880)),x58031))+~P24(f333(f333(f251(a880),x58031),x58032))
% 163.20/162.96 [5836]E(f333(f333(f3(a880),f333(f108(a880),x58361)),f333(f108(a880),x58362)),f333(f108(a880),x58361))+~P24(f333(f333(f251(a1),x58362),a84))
% 163.20/162.96 [5837]E(f333(f333(f81(a880),f333(f108(a880),x58371)),f333(f108(a880),x58372)),f333(f108(a880),x58372))+~P24(f333(f333(f251(a1),x58371),a84))
% 163.20/162.96 [5842]E(f333(a117,f333(f333(f81(a880),x58421),f844(x58422,x58421))),x58422)+~P24(f333(f333(f251(a880),x58421),x58422))
% 163.20/162.96 [5865]P24(f333(x58651,x58652))+~P24(f333(x58651,f333(a90,f717(x58652,x58651))))
% 163.20/162.96 [5873]~P24(f333(f333(f251(a880),x58731),f333(a117,x58732)))+P24(f333(f333(f250(a880),x58731),x58732))
% 163.20/162.96 [5919]E(f333(f333(f311(a880),x59191),f333(f303(a880,x59192),x59191)),f333(f303(a880,x59192),f333(a117,x59191)))+~P24(f333(f333(f250(a880),x59192),x59191))
% 163.20/162.96 [5923]E(x59231,f118(x59232))+E(f333(f333(f127(x59232),f119(x59232,x59231)),f333(f333(f152(x59232),f145(x59232,x59231)),f118(x59232))),x59231)
% 163.20/162.96 [5936]P24(f333(f63(x59361),x59362))+~P24(f333(f333(f251(a880),f2(a880)),f333(f39(x59361),x59362)))
% 163.20/162.96 [5938]~E(x59381,f194(f890(x59382,a874)))+~P24(f333(f333(f251(a880),f2(a880)),f333(f39(x59382),x59381)))
% 163.20/162.96 [5950]~P24(f333(f333(f251(a880),x59501),x59502))+P24(f333(f333(f250(a880),f333(a117,x59501)),x59502))
% 163.20/162.96 [5958]~P109(x59581)+E(f151(x59581,x59581,f7(x59581),f153(x59581,x59582)),f140(x59581,f333(f173(x59581),x59582)))
% 163.20/162.96 [5961]E(x59611,f118(x59612))+P24(f333(f333(f335(x59612),f333(f142(x59612),x59611)),f333(f173(x59612),x59611)))
% 163.20/162.96 [5967]~P123(x59671)+P24(f333(f333(f251(x59671),x59672),f333(f333(f81(x59671),x59672),f79(x59671))))
% 163.20/162.96 [5969]~P87(x59691)+P24(f333(f333(f250(x59691),f333(f80(x59691),x59692)),f333(f76(x59691),x59692)))
% 163.20/162.96 [6002]P24(f333(f63(a880),x60021))+~P24(f333(f333(f251(a880),f371(x60021,x60022)),x60022))
% 163.20/162.96 [6003]P24(f333(f63(a880),x60031))+~P24(f333(f333(f250(a880),f362(x60031,x60032)),x60032))
% 163.20/162.96 [6007]~P24(f333(f63(f889(x60071,x60071)),x60072))+P24(f333(f63(x60071),f333(f286(x60071),x60072)))
% 163.20/162.96 [6061]~P24(f333(f333(f251(a880),x60612),f333(a117,x60611)))+~P24(f333(f333(f251(a880),x60611),x60612))
% 163.20/162.96 [6062]~P110(x60621)+E(f333(f333(f106(f890(x60621,a874)),f333(f302(x60621),x60622)),f333(f257(x60621),x60622)),f333(f333(f311(x60621),x60622),f194(f890(x60621,a874))))
% 163.20/162.96 [6075]P24(f333(f63(x60751),x60752))+~P24(f333(f63(f890(x60751,a874)),f333(f310(x60751),x60752)))
% 163.20/162.96 [6100]P24(f333(f333(f251(a880),f333(a117,x61001)),f333(a117,x61002)))+~P24(f333(f333(f251(a880),x61001),x61002))
% 163.20/162.96 [6101]P24(f333(f333(f251(a880),f333(a21,x61011)),f333(a21,x61012)))+~P24(f333(f333(f251(a104),x61011),x61012))
% 163.20/162.96 [6102]P24(f333(f333(f251(a104),f333(a5,x61021)),f333(a5,x61022)))+~P24(f333(f333(f251(a880),x61021),x61022))
% 163.20/162.96 [6103]P24(f333(f333(f250(a880),f333(a117,x61031)),f333(a117,x61032)))+~P24(f333(f333(f250(a880),x61031),x61032))
% 163.20/162.96 [6104]P24(f333(f333(f250(a880),f333(a21,x61041)),f333(a21,x61042)))+~P24(f333(f333(f250(a104),x61041),x61042))
% 163.20/162.96 [6105]P24(f333(f333(f250(a104),f333(a5,x61051)),f333(a5,x61052)))+~P24(f333(f333(f250(a880),x61051),x61052))
% 163.20/162.96 [6108]E(x61081,x61082)+~E(f333(f312(a880,a1,f105(a1)),x61081),f333(f312(a880,a1,f105(a1)),x61082))
% 163.20/162.96 [6124]P24(f333(f333(f251(a880),x61241),x61242))+~P24(f333(f333(f251(a880),f333(a117,x61241)),x61242))
% 163.20/162.96 [6127]P24(f333(f333(f251(a880),x61271),x61272))+~P24(f333(f333(f250(a880),f333(a117,x61271)),x61272))
% 163.20/162.96 [6128]P24(f333(f333(f250(a880),x61281),x61282))+~P24(f333(f333(f250(a880),f333(a117,x61281)),x61282))
% 163.20/162.96 [6143]E(f46(a1,x61431,x61432),f2(a1))+E(f333(f333(f3(a1),f46(a1,x61431,x61432)),x61432),f46(a1,x61431,f333(f80(a1),x61432)))
% 163.20/162.96 [6210]E(f333(f39(f890(x62101,a874)),f333(f310(x62101),x62102)),f333(f333(f264(a880),f333(a117,f333(a117,f2(a880)))),f333(f39(x62101),x62102)))+~P24(f333(f63(x62101),x62102))
% 163.20/162.96 [6213]E(x62131,f118(x62132))+E(f333(f333(f166(x62132),x62131),f333(f333(f3(a880),f333(f195(f881(x62132)),x62131)),f79(a880))),f145(x62132,x62131))
% 163.20/162.96 [6238]E(x62381,f118(x62382))+E(f333(f333(f127(x62382),f333(f172(x62382),x62381)),f333(f333(f152(x62382),f333(f142(x62382),x62381)),f118(x62382))),f333(f169(x62382),x62381))
% 163.20/162.96 [6267]~P24(f333(f63(x62671),f41(f890(x62671,a874),x62672)))+P24(f333(f63(f890(x62671,a874)),x62672))
% 163.20/162.96 [6290]P24(f333(f333(f250(a880),f333(f108(a880),x62901)),f333(f108(a880),x62902)))+~P24(f333(f333(f250(a1),x62901),a84))
% 163.20/162.96 [6306]~P24(f333(f333(f251(a1),x63061),x63062))+P24(f333(f333(f251(a1),x63061),f333(f333(f81(a1),x63062),f79(a1))))
% 163.20/162.96 [6307]~P24(f333(f333(f250(a1),x63071),x63072))+P24(f333(f333(f251(a1),x63071),f333(f333(f81(a1),x63072),f79(a1))))
% 163.20/162.96 [6308]~P24(f333(f333(f251(a1),x63081),x63082))+P24(f333(f333(f250(a1),x63081),f333(f333(f3(a1),x63082),f79(a1))))
% 163.20/162.96 [6310]~P24(f333(f333(f251(a1),x63101),x63102))+P24(f333(f333(f251(a1),f333(f108(a1),x63101)),f333(f108(a1),x63102)))
% 163.20/162.96 [6312]~P24(f333(f333(f251(a880),x63121),x63122))+P24(f333(f333(f251(a1),f333(f105(a1),x63121)),f333(f105(a1),x63122)))
% 163.20/162.96 [6313]~P24(f333(f333(f250(a1),x63131),x63132))+P24(f333(f333(f250(a880),f333(f108(a880),x63131)),f333(f108(a880),x63132)))
% 163.20/162.96 [6314]~P24(f333(f333(f250(a1),x63141),x63142))+P24(f333(f333(f250(a1),f333(f108(a1),x63141)),f333(f108(a1),x63142)))
% 163.20/162.96 [6316]~P24(f333(f333(f250(a880),x63161),x63162))+P24(f333(f333(f250(a1),f333(f105(a1),x63161)),f333(f105(a1),x63162)))
% 163.20/162.96 [6317]~P24(f333(f333(f92(a1),x63171),x63172))+P24(f333(f333(f92(a1),f333(f108(a1),x63171)),f333(f108(a1),x63172)))
% 163.20/162.96 [6335]~P24(f333(f333(f250(a880),x63351),x63352))+~P24(f333(f333(f250(a880),f333(a117,x63352)),x63351))
% 163.20/162.96 [6379]~P24(f333(f333(f251(a880),f333(a117,x63791)),f333(a117,x63792)))+P24(f333(f333(f251(a880),x63791),x63792))
% 163.20/162.96 [6380]~P24(f333(f333(f251(a104),f333(a5,x63801)),f333(a5,x63802)))+P24(f333(f333(f251(a880),x63801),x63802))
% 163.20/162.96 [6381]~P24(f333(f333(f251(a880),f333(a109,x63811)),f333(a109,x63812)))+P24(f333(f333(f251(a1),x63811),x63812))
% 163.20/162.96 [6382]~P24(f333(f333(f251(a880),f333(a21,x63821)),f333(a21,x63822)))+P24(f333(f333(f251(a104),x63821),x63822))
% 163.20/162.96 [6383]~P24(f333(f333(f250(a880),f333(a117,x63831)),f333(a117,x63832)))+P24(f333(f333(f250(a880),x63831),x63832))
% 163.20/162.96 [6384]~P24(f333(f333(f250(a104),f333(a5,x63841)),f333(a5,x63842)))+P24(f333(f333(f250(a880),x63841),x63842))
% 163.20/162.96 [6385]~P24(f333(f333(f250(a880),f333(a21,x63851)),f333(a21,x63852)))+P24(f333(f333(f250(a104),x63851),x63852))
% 163.20/162.96 [6425]~P24(f333(f333(f251(a880),f333(a109,x64252)),f333(a109,x64251)))+P24(f333(f333(f251(a1),f2(a1)),x64251))
% 163.20/162.96 [6456]P24(f333(f333(f250(a1),f2(a1)),f46(a1,x64561,x64562)))+~P24(f333(f333(f251(a1),f2(a1)),x64562))
% 163.20/162.96 [6610]P40(x66101,x66102)+~E(f333(f333(f290(x66101,x66101,x66101),x66102),x66102),f194(f890(f889(x66101,x66101),a874)))
% 163.20/162.96 [6622]~P40(x66221,x66222)+P40(x66221,f333(f333(f290(x66221,x66221,x66221),x66222),x66222))
% 163.20/162.96 [6634]P24(f333(f333(f251(a1),x66341),x66342))+~P24(f333(f333(f250(a1),x66341),f333(f333(f3(a1),x66342),f79(a1))))
% 163.20/162.96 [6635]P24(f333(f333(f250(a1),x66351),x66352))+~P24(f333(f333(f251(a1),x66351),f333(f333(f81(a1),x66352),f79(a1))))
% 163.20/162.96 [6638]P24(f333(f333(f251(a880),x66381),x66382))+~P24(f333(f333(f251(a1),f333(f105(a1),x66381)),f333(f105(a1),x66382)))
% 163.20/162.96 [6639]P24(f333(f333(f251(a1),x66391),x66392))+~P24(f333(f333(f251(a880),f333(f108(a880),x66391)),f333(f108(a880),x66392)))
% 163.20/162.96 [6640]P24(f333(f333(f251(a1),x66401),x66402))+~P24(f333(f333(f251(a1),f333(f108(a1),x66401)),f333(f108(a1),x66402)))
% 163.20/162.96 [6642]P24(f333(f333(f250(a880),x66421),x66422))+~P24(f333(f333(f250(a1),f333(f105(a1),x66421)),f333(f105(a1),x66422)))
% 163.20/162.96 [6643]P24(f333(f333(f250(a1),x66431),x66432))+~P24(f333(f333(f250(a1),f333(f108(a1),x66431)),f333(f108(a1),x66432)))
% 163.20/162.96 [6644]P24(f333(f333(f92(a1),x66441),x66442))+~P24(f333(f333(f92(a1),f333(f108(a1),x66441)),f333(f108(a1),x66442)))
% 163.20/162.96 [6737]~E(f656(x67372,x67371),f118(x67371))+E(f333(f143(f881(x67371),f881(x67371),f127(x67371),f118(x67371)),x67372),f118(x67371))
% 163.20/162.96 [6738]~E(f657(x67382,x67381),f118(x67381))+E(f333(f143(f881(x67381),f881(x67381),f127(x67381),f118(x67381)),x67382),f118(x67381))
% 163.20/162.96 [6745]~P29(x67451)+E(f333(f143(x67451,x67451,f115(x67451),f194(x67451)),x67452),f41(x67451,f333(f173(x67451),x67452)))
% 163.20/162.96 [6746]~P29(x67461)+E(f333(f143(x67461,x67461,f106(x67461),f258(x67461)),x67462),f42(x67461,f333(f173(x67461),x67462)))
% 163.20/162.96 [6758]E(x67581,f2(a104))+E(f333(f333(f81(a880),f333(a21,f333(f333(f3(a104),x67581),f79(a104)))),f333(a117,x67582)),f333(f333(f81(a880),f333(a21,x67581)),x67582))
% 163.20/162.96 [6802]P24(f333(f333(f251(a1),f333(f333(f3(a1),x68021),x68022)),f2(a1)))+~P24(f333(f333(f251(a1),x68021),x68022))
% 163.20/162.96 [6826]~P109(x68261)+E(f333(f333(f115(f890(x68261,a874)),f333(f333(f311(x68261),x68262),f194(f890(x68261,a874)))),f333(f305(x68261),x68262)),f333(f257(x68261),x68262))
% 163.20/162.96 [6899]~P59(x68991,x68992)+P40(x68991,f333(f255(f889(x68991,x68991)),f333(f272(x68991,x68991,a874),x68992)))
% 163.20/162.96 [6900]~P59(x69001,x69002)+P57(x69001,f333(f255(f889(x69001,x69001)),f333(f272(x69001,x69001,a874),x69002)))
% 163.20/162.96 [6901]E(x69011,f194(f890(x69012,a874)))+~P24(f333(f333(f250(f890(x69012,a874)),x69011),f194(f890(x69012,a874))))
% 163.20/162.96 [6985]~P24(f333(f333(f251(a880),f2(a880)),x69852))+P24(f333(f333(f251(a880),f46(a880,x69851,x69852)),x69852))
% 163.20/162.96 [6987]~P24(f333(f333(f251(a1),f2(a1)),x69872))+P24(f333(f333(f251(a1),f46(a1,x69871,x69872)),x69872))
% 163.20/162.96 [6988]~P24(f333(f333(f251(a880),f2(a880)),x69882))+P24(f333(f333(f250(a880),f46(a880,x69881,x69882)),x69882))
% 163.20/162.96 [6989]~P24(f333(f333(f250(a1),f2(a1)),x69891))+P24(f333(f333(f250(a1),f46(a1,x69891,x69892)),x69891))
% 163.20/162.96 [7067]~P110(x70671)+E(f333(f333(f3(f890(x70671,a874)),f333(f333(f311(x70671),x70672),f194(f890(x70671,a874)))),f333(f256(x70671),x70672)),f333(f333(f311(x70671),x70672),f194(f890(x70671,a874))))
% 163.20/162.96 [7139]~P52(x71391,x71392)+P50(x71391,f258(f890(x71391,a874)),f333(f255(f889(x71391,x71391)),f333(f272(x71391,x71391,a874),x71392)))
% 163.20/162.96 [7140]P24(f333(x71401,x71402))+P24(f333(f333(f335(f890(f889(a880,a880),a874)),f717(x71402,x71401)),a103))
% 163.20/162.96 [7185]E(f333(f333(f127(a880),f140(a880,f333(f303(a880,x71851),x71852))),f333(f333(f152(a880),x71852),f118(a880))),f140(a880,f333(f303(a880,x71851),f333(a117,x71852))))+~P24(f333(f333(f250(a880),x71851),x71852))
% 163.20/162.96 [7317]E(x73171,f2(a880))+~E(f333(f143(a880,a880,f81(a880),x73171),x73172),f2(a880))
% 163.20/162.96 [7345]~P24(f333(f333(f251(a1),f333(f333(f3(a1),x73451),x73452)),f2(a1)))+P24(f333(f333(f251(a1),x73451),x73452))
% 163.20/162.96 [7373]P40(x73731,x73732)+~P40(x73731,f333(f333(f290(x73731,x73731,x73731),x73732),x73732))
% 163.20/162.96 [7402]~P24(f333(f333(f250(a880),f333(a117,x74021)),x74022))+P24(f191(a874,a247,f333(f250(a880),x74021),x74022))
% 163.20/162.96 [7556]P21(a880,a880,f333(f333(f9(a880,a880,a880),f3(a880)),x75561),x75562)+P24(f333(f333(f335(a880),f724(x75561,x75562)),x75562))
% 163.20/162.96 [7610]E(f333(f333(f333(f67(a880,x76101,f81(a880)),f333(f18(a880,x76101),f79(a880))),f2(a880)),x76102),f333(f39(x76101),x76102))+~P24(f333(f63(x76101),x76102))
% 163.20/162.96 [7652]P21(a880,a880,f333(f333(f9(a880,a880,a880),f3(a880)),x76521),x76522)+~P24(f333(f333(f250(a880),x76521),f724(x76521,x76522)))
% 163.20/162.96 [7709]P40(x77091,x77092)+P24(f333(f333(f250(f890(x77091,a874)),f722(x77092,x77091)),f333(f287(x77091,x77091,x77092),f722(x77092,x77091))))
% 163.20/162.96 [7714]P59(x77141,x77142)+~P40(x77141,f333(f255(f889(x77141,x77141)),f333(f272(x77141,x77141,a874),x77142)))
% 163.20/162.96 [7786]P24(f333(f333(f250(a880),f333(a117,x77861)),x77862))+~P24(f191(a874,a247,f333(f250(a880),x77861),x77862))
% 163.20/162.96 [7842]P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x78421),x78422)),f309(a880,a323)))+~P24(f333(f333(f250(a880),x78421),x78422))
% 163.20/162.96 [7930]P52(x79301,x79302)+~P50(x79301,f258(f890(x79301,a874)),f333(f255(f889(x79301,x79301)),f333(f272(x79301,x79301,a874),x79302)))
% 163.20/162.96 [7988]~P24(f333(f138(x79881),x79882))+P24(f333(f138(f890(x79881,a874)),f333(f333(f155(f881(x79881),f890(x79881,a874)),f173(x79881)),f55(x79881,x79882))))
% 163.20/162.96 [8201]~P40(x82011,f333(f288(x82011,x82011),x82012))+P40(x82011,f333(f288(x82011,x82011),f333(f333(f290(x82011,x82011,x82011),x82012),f309(x82011,x82012))))
% 163.20/162.96 [8319]P24(f333(f63(f889(x83191,x83191)),f333(f333(f290(x83191,x83191,x83191),x83192),f309(x83191,x83192))))+~P24(f333(f63(f889(x83191,x83191)),x83192))
% 163.20/162.96 [8347]E(x83471,f2(a1))+P24(f333(f50(x83472,x83471),f333(f333(f263(a1,a1),f333(f333(f40(a1),x83472),x83471)),f46(a1,x83472,x83471))))
% 163.20/162.96 [8358]~P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x83581),x83582)),f309(a880,a323)))+P24(f333(f333(f250(a880),x83581),x83582))
% 163.20/162.96 [8377]~P84(x83771)+E(f333(f143(x83771,x83771,f333(f9(x83771,x83771,x83771),f81(x83771)),f2(x83771)),f333(f170(x83771),x83772)),f333(f143(x83771,x83771,f81(x83771),f2(x83771)),x83772))
% 163.20/162.96 [8555]~P109(x85551)+E(f333(f143(f881(x85551),x85551,f333(f9(x85551,f881(x85551),f881(x85551)),f149(x85551,x85551,f7(x85551))),f118(x85551)),x85552),f151(x85551,x85551,f7(x85551),x85552))
% 163.20/162.96 [8662]P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x86621),x86622)),f333(f333(f290(a880,a880,a880),a323),f309(a880,a323))))+~P24(f333(f333(f251(a880),x86621),x86622))
% 163.20/162.96 [8703]~P24(f333(f63(f889(x87031,x87031)),f333(f333(f290(x87031,x87031,x87031),x87032),f309(x87031,x87032))))+P24(f333(f63(f889(x87031,x87031)),x87032))
% 163.20/162.96 [8961]P57(x89611,x89612)+P24(f333(f333(f335(f889(x89611,x89611)),f333(f333(f263(x89611,x89611),f762(x89612,x89611)),f762(x89612,x89611))),f333(f333(f290(x89611,x89611,x89611),x89612),f309(x89611,x89612))))
% 163.20/162.96 [8962]P57(x89621,x89622)+P24(f333(f333(f335(f889(x89621,x89621)),f333(f333(f263(x89621,x89621),f770(x89622,x89621)),f770(x89622,x89621))),f333(f333(f290(x89621,x89621,x89621),x89622),f309(x89621,x89622))))
% 163.20/162.96 [9063]~P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x90631),x90632)),f333(f333(f290(a880,a880,a880),a323),f309(a880,a323))))+P24(f333(f333(f251(a880),x90631),x90632))
% 163.20/162.96 [5093]~P94(x50931)+E(f333(f333(f81(x50931),f333(f108(x50931),a84)),x50932),x50932)
% 163.20/162.96 [5121]~P79(x51211)+E(f333(f333(f115(x51211),f333(f80(x51211),x51212)),x51212),f258(x51211))
% 163.20/162.96 [5122]~P79(x51221)+E(f333(f333(f106(x51221),f333(f80(x51221),x51222)),x51222),f194(x51221))
% 163.20/162.96 [5123]~P68(x51231)+E(f333(f333(f81(x51231),f333(f80(x51231),x51232)),x51232),f2(x51231))
% 163.20/162.96 [5124]~P75(x51241)+E(f333(f333(f81(x51241),f333(f80(x51241),x51242)),x51242),f2(x51241))
% 163.20/162.96 [5155]~P94(x51551)+E(f333(f333(f82(x51551),f333(f108(x51551),a102)),x51552),f333(f80(x51551),x51552))
% 163.20/162.96 [5328]~P112(x53281)+E(f333(f333(f82(x53281),f333(f80(x53281),f79(x53281))),x53282),f333(f80(x53281),x53282))
% 163.20/162.96 [5370]E(f333(f76(a1),x53701),f79(a1))+~E(f333(f76(a1),f333(f333(f82(a1),x53701),x53702)),f79(a1))
% 163.20/162.96 [5462]~P94(x54621)+E(f333(f333(f81(x54621),f79(x54621)),f333(f108(x54621),x54622)),f333(f108(x54621),f333(f333(f3(a1),x54622),a102)))
% 163.20/162.96 [5513]~P26(x55131)+E(f12(x55131,f333(f333(f311(x55131),x55132),f194(f890(x55131,a874)))),x55132)
% 163.20/162.96 [5514]~P26(x55141)+E(f13(x55141,f333(f333(f311(x55141),x55142),f194(f890(x55141,a874)))),x55142)
% 163.20/162.96 [5515]~P29(x55151)+E(f41(x55151,f333(f333(f311(x55151),x55152),f194(f890(x55151,a874)))),x55152)
% 163.20/162.96 [5516]~P29(x55161)+E(f42(x55161,f333(f333(f311(x55161),x55162),f194(f890(x55161,a874)))),x55162)
% 163.20/162.96 [5517]~P109(x55171)+E(f16(x55171,f333(f333(f311(x55171),x55172),f194(f890(x55171,a874)))),x55172)
% 163.20/162.96 [5518]~P109(x55181)+E(f17(x55181,f333(f333(f311(x55181),x55182),f194(f890(x55181,a874)))),x55182)
% 163.20/162.96 [5540]E(f333(f333(f81(a880),x55401),f333(f333(f3(a880),x55402),x55401)),x55402)+P24(f333(f333(f251(a880),x55402),x55401))
% 163.20/162.96 [5570]E(x55701,f118(x55702))+P24(f333(f333(f251(a880),f2(a880)),f333(f195(f881(x55702)),x55701)))
% 163.20/162.96 [5696]~P109(x56961)+E(f14(x56961,f248(x56961),f333(f333(f311(x56961),x56962),f194(f890(x56961,a874)))),x56962)
% 163.20/162.96 [5697]~P109(x56971)+E(f15(x56971,f249(x56971),f333(f333(f311(x56971),x56972),f194(f890(x56971,a874)))),x56972)
% 163.20/162.96 [5759]E(f333(f333(f3(a880),x57591),f333(f333(f3(a880),x57591),x57592)),x57592)+~P24(f333(f333(f250(a880),x57592),x57591))
% 163.20/162.96 [5760]E(f333(f333(f81(a880),x57601),f333(f333(f3(a880),x57602),x57601)),x57602)+~P24(f333(f333(f250(a880),x57601),x57602))
% 163.20/162.96 [5781]E(f46(a880,f333(f333(f3(a880),x57811),x57812),x57812),f46(a880,x57811,x57812))+P24(f333(f333(f251(a880),x57811),x57812))
% 163.20/162.96 [5792]E(f333(f80(a1),f333(f333(f40(a1),x57921),f333(f80(a1),x57922))),f293(x57921,x57922))+P24(f333(f333(f250(a1),f2(a1)),x57922))
% 163.20/162.96 [5794]~E(x57942,f2(a880))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f264(a880),x57941),x57942)))
% 163.20/162.96 [5845]~P94(x58451)+E(f333(f333(f81(x58451),f333(f80(x58451),f79(x58451))),f333(f108(x58451),x58452)),f333(f108(x58451),f333(f333(f81(a1),x58452),a102)))
% 163.20/162.96 [5846]E(f333(f333(f264(a880),f333(f108(a880),x58461)),x58462),f333(f333(f264(a880),f2(a880)),x58462))+~P24(f333(a200,f333(f108(a1),x58461)))
% 163.20/162.96 [5942]E(f333(f142(a880),f140(a880,f333(f303(a880,x59421),x59422))),x59421)+~P24(f333(f333(f251(a880),x59421),x59422))
% 163.20/162.96 [5962]E(f333(f333(f82(a880),f333(f108(a880),x59621)),f333(f108(a880),x59622)),f333(f108(a880),f333(f333(f82(a1),x59621),x59622)))+P24(f333(f333(f251(a1),x59621),a84))
% 163.20/162.96 [5968]~P125(x59681)+P24(f333(f333(f250(x59681),f2(x59681)),f333(f333(f82(x59681),x59682),x59682)))
% 163.20/162.96 [5980]E(f333(f333(f3(a880),f333(a117,x59801)),x59802),f333(a117,f333(f333(f3(a880),x59801),x59802)))+~P24(f333(f333(f250(a880),x59802),x59801))
% 163.20/162.96 [5983]E(f46(a880,f333(f333(f3(a880),x59831),x59832),x59832),f46(a880,x59831,x59832))+~P24(f333(f333(f250(a880),x59832),x59831))
% 163.20/162.96 [6036]E(f333(f333(f264(a880),f333(a109,x60361)),x60362),f333(a109,f333(f333(f264(a1),x60361),x60362)))+~P24(f333(f333(f250(a1),f2(a1)),x60361))
% 163.20/162.96 [6052]P24(f333(f138(x60521),x60522))+P24(f333(f333(f251(a880),f554(x60522,x60521)),f333(f195(f881(x60521)),x60522)))
% 163.20/162.96 [6053]P24(f333(f138(x60531),x60532))+P24(f333(f333(f251(a880),f580(x60532,x60531)),f333(f195(f881(x60531)),x60532)))
% 163.20/162.96 [6068]~E(x60681,f118(x60682))+~P24(f333(f333(f251(a880),f2(a880)),f333(f195(f881(x60682)),x60681)))
% 163.20/162.96 [6082]E(f145(a880,f140(a880,f333(f303(a880,x60821),x60822))),f333(f333(f3(a880),x60822),f79(a880)))+~P24(f333(f333(f251(a880),x60821),x60822))
% 163.20/162.96 [6085]E(f333(f333(f81(a1),x60851),f333(f105(a1),f333(a117,f393(x60852,x60851)))),x60852)+~P24(f333(f333(f251(a1),x60851),x60852))
% 163.20/162.96 [6092]E(x60921,f2(a880))+E(f333(f333(f82(a880),x60922),f333(f333(f264(a880),x60922),f333(f333(f3(a880),x60921),f79(a880)))),f333(f333(f264(a880),x60922),x60921))
% 163.20/162.96 [6118]E(f333(f333(f82(a880),f333(a109,x61181)),f333(a109,x61182)),f333(a109,f333(f333(f82(a1),x61181),x61182)))+~P24(f333(f333(f250(a1),f2(a1)),x61181))
% 163.20/162.96 [6119]E(f333(f333(f40(a880),f333(a109,x61191)),f333(a109,x61192)),f333(a109,f333(f333(f40(a1),x61191),x61192)))+~P24(f333(f333(f250(a1),f2(a1)),x61191))
% 163.20/162.96 [6133]~P115(x61331)+E(f333(f333(f81(x61331),x61332),x61332),f333(f333(f82(x61331),f333(f333(f81(x61331),f79(x61331)),f79(x61331))),x61332))
% 163.20/162.96 [6152]E(f333(f333(f3(a1),f333(f105(a1),x61521)),f333(f105(a1),x61522)),f333(f105(a1),f333(f333(f3(a880),x61521),x61522)))+~P24(f333(f333(f250(a880),x61522),x61521))
% 163.20/162.96 [6154]E(f333(f333(f263(a1,a1),f333(f108(a1),a102)),f333(f333(f81(a1),x61541),x61542)),f51(x61541,x61542))+~P24(f333(f333(f250(a1),x61542),f2(a1)))
% 163.20/162.96 [6189]E(f180(x61891,x61892),f118(f881(x61891)))+P24(f333(f333(f335(f881(x61891)),f623(x61892,x61891)),f333(f173(f881(x61891)),x61892)))
% 163.20/162.96 [6198]E(f121(a1,f333(f128(a1),x61981),f135(x61982,f333(f333(f81(a1),x61981),f79(a1)))),f135(x61982,x61981))+P24(f333(f333(f251(a1),x61982),x61981))
% 163.20/162.96 [6273]E(f333(f333(f152(a1),x62731),f179(f333(f333(f81(a1),x62731),f79(a1)),x62732)),f179(x62731,x62732))+~P24(f333(f333(f250(a1),x62731),x62732))
% 163.20/162.96 [6309]~P24(f333(f333(f251(a880),x63092),x63091))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f3(a880),x63091),x63092)))
% 163.20/162.96 [6338]~P24(f333(f333(f251(a880),x63381),f333(a109,x63382)))+P24(f333(f333(f251(a1),f333(f105(a1),x63381)),x63382))
% 163.20/162.96 [6369]~P109(x63691)+E(f333(f333(f115(f890(x63691,a874)),f333(f256(x63691),x63692)),f333(f333(f311(x63691),x63692),f194(f890(x63691,a874)))),f333(f302(x63691),x63692))
% 163.20/162.96 [6372]~P24(f333(f333(f251(a880),f2(a880)),x63721))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f264(a880),x63721),x63722)))
% 163.20/162.96 [6373]~P24(f333(f333(f250(a1),f2(a1)),x63731))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f264(a1),x63731),x63732)))
% 163.20/162.96 [6401]~E(f333(x64011,f2(a880)),f2(a880))+E(f333(f333(f8(a880,a880),x64011),f304(a880,f333(a117,f2(a880)),x64012)),f333(f333(f8(a880,a880),x64011),f304(a880,f2(a880),x64012)))
% 163.20/162.96 [6479]E(f333(f333(f311(a1),x64791),f304(a1,f333(f333(f81(a1),x64791),f79(a1)),x64792)),f304(a1,x64791,x64792))+P24(f333(f333(f251(a1),x64792),x64791))
% 163.20/162.96 [6480]P24(f333(f333(f251(a880),x64801),f333(a109,x64802)))+~P24(f333(f333(f251(a1),f333(f105(a1),x64801)),x64802))
% 163.20/162.96 [6577]E(f333(a109,f333(f333(f40(a1),f333(f108(a1),x65771)),f333(f108(a1),x65772))),f333(f333(f40(a880),f333(f108(a880),x65771)),f333(f108(a880),x65772)))+P24(f333(a200,f333(f108(a1),x65771)))
% 163.20/162.96 [6636]P24(f333(f333(f251(a880),x66361),x66362))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f3(a880),x66362),x66361)))
% 163.20/162.96 [6680]P24(f333(f333(f251(a880),f2(a880)),x66801))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f82(a880),x66802),x66801)))
% 163.20/162.96 [6681]P24(f333(f333(f251(a880),f2(a880)),x66811))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f82(a880),x66811),x66812)))
% 163.20/162.96 [6698]~P24(f333(f333(f250(a1),x66981),f2(a1)))+E(f333(f333(f82(a880),f333(a109,f333(f80(a1),x66981))),f333(a109,f333(f80(a1),x66982))),f333(a109,f333(f333(f82(a1),x66981),x66982)))
% 163.20/162.96 [6756]~E(x67562,f194(f890(x67561,a874)))+P24(f333(f333(f250(f890(x67561,a874)),x67562),f333(f80(f890(x67561,a874)),x67562)))
% 163.20/162.96 [6866]~P24(f333(f333(f251(a1),x68661),x68662))+P24(f333(f333(f250(a1),f333(f333(f81(a1),x68661),f79(a1))),x68662))
% 163.20/162.96 [6931]E(x69311,f2(a880))+~P24(f333(f333(f250(a1),f333(f105(a1),x69312)),f333(f80(a1),f333(f105(a1),x69311))))
% 163.20/162.96 [6932]E(x69321,f2(a880))+~P24(f333(f333(f250(a1),f333(f105(a1),x69321)),f333(f80(a1),f333(f105(a1),x69322))))
% 163.20/162.96 [7038]E(f333(f333(f263(a1,a1),f333(f108(a1),a102)),f333(f333(f81(a1),x70381),x70382)),f51(x70381,x70382))+~P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),x70381),x70382)))
% 163.20/162.96 [7079]~P22(x70791,x70792)+P40(x70791,f333(f262(f890(f889(x70791,x70791),a874),f890(f889(x70791,x70791),a874)),x70792))
% 163.20/162.96 [7097]~P24(f333(f333(f250(a880),f333(a117,f2(a880))),x70971))+P24(f333(f333(f250(a880),f333(a117,f2(a880))),f333(f333(f264(a880),x70971),x70972)))
% 163.20/162.96 [7319]~P24(f333(f333(f251(a880),f2(a880)),x73191))+P24(f333(f333(f251(a880),f333(f333(f3(a880),x73191),f333(a117,x73192))),x73191))
% 163.20/162.96 [7356]P24(f333(f333(f250(a880),f333(a117,f2(a880))),x73561))+~P24(f333(f333(f250(a880),f333(a117,f2(a880))),f333(f333(f82(a880),x73562),x73561)))
% 163.20/162.96 [7357]P24(f333(f333(f250(a880),f333(a117,f2(a880))),x73571))+~P24(f333(f333(f250(a880),f333(a117,f2(a880))),f333(f333(f82(a880),x73571),x73572)))
% 163.20/162.96 [7360]P24(f333(f333(f250(a880),f333(f333(f166(a880),x73601),x73602)),f333(f167(a880),x73601)))+~P24(f333(f333(f251(a880),x73602),f333(f195(f881(a880)),x73601)))
% 163.20/162.96 [7401]P24(f333(f333(f251(a1),x74011),x74012))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),x74011),f79(a1))),x74012))
% 163.20/162.96 [7446]P24(f333(f63(x74461),f258(f890(x74461,a874))))+~P24(f333(f63(f890(x74462,x74461)),f258(f890(f890(x74462,x74461),a874))))
% 163.20/162.96 [7447]P24(f333(f63(x74471),f258(f890(x74471,a874))))+~P24(f333(f63(f888(x74472,x74471)),f258(f890(f888(x74472,x74471),a874))))
% 163.20/162.96 [7448]P24(f333(f63(x74481),f258(f890(x74481,a874))))+~P24(f333(f63(f888(x74481,x74482)),f258(f890(f888(x74481,x74482),a874))))
% 163.20/162.96 [7487]E(x74871,f194(f890(x74872,a874)))+~P24(f333(f333(f250(f890(x74872,a874)),x74871),f333(f80(f890(x74872,a874)),x74871)))
% 163.20/162.96 [7620]E(f333(f143(f881(x76201),f881(x76201),f127(x76201),f118(x76201)),x76202),f118(x76201))+P24(f333(f333(f335(f881(x76201)),f656(x76202,x76201)),f333(f173(f881(x76201)),x76202)))
% 163.20/162.96 [7621]E(f333(f143(f881(x76211),f881(x76211),f127(x76211),f118(x76211)),x76212),f118(x76211))+P24(f333(f333(f335(f881(x76211)),f657(x76212,x76211)),f333(f173(f881(x76211)),x76212)))
% 163.20/162.96 [7949]~P115(x79491)+E(f333(f333(f82(x79491),f333(f333(f81(x79491),f79(x79491)),f79(x79491))),f333(f333(f8(a880,x79491),f105(x79491)),f304(a880,f79(a880),x79492))),f333(f333(f82(x79491),f333(f105(x79491),x79492)),f333(f333(f81(x79491),f333(f105(x79491),x79492)),f79(x79491))))
% 163.20/162.96 [8004]P24(f333(f333(f335(a880),x80041),x80042))+~P24(f333(f333(f335(a1),f333(f105(a1),x80041)),f333(f312(a880,a1,f105(a1)),x80042)))
% 163.20/162.96 [8171]~P24(f333(f63(x81711),x81712))+E(f333(f312(a880,x81711,f684(x81712,x81711)),f333(f255(a880),f333(f333(f9(a880,a880,a874),f251(a880)),f685(x81712,x81711)))),x81712)
% 163.20/162.96 [8455]P51(x84551,x84552)+P24(f333(f333(f335(f889(x84551,x84551)),f333(f333(f263(x84551,x84551),f535(x84552,x84551)),f535(x84552,x84551))),x84552))
% 163.20/162.96 [8699]~P24(f333(f333(f251(f890(a880,a874)),x86991),x86992))+P24(f333(f333(f251(f890(a1,a874)),f333(f312(a880,a1,f105(a1)),x86991)),f333(f312(a880,a1,f105(a1)),x86992)))
% 163.20/162.96 [8729]~P94(x87291)+E(f333(f333(f3(x87291),f79(x87291)),f333(f108(x87291),x87292)),f333(f108(x87291),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f333(f80(a1),x87292))))
% 163.20/162.96 [8803]~P24(f333(f333(f335(a880),x88031),f333(f173(a880),x88032)))+P24(f333(f333(f250(a880),x88031),f333(f143(a880,a880,f81(a880),f2(a880)),x88032)))
% 163.20/162.96 [8899]P47(x88991,x88992)+~P24(f333(f333(f335(f889(x88991,x88991)),f333(f333(f263(x88991,x88991),f497(x88992,x88991)),f497(x88992,x88991))),x88992))
% 163.20/162.96 [9038]~P24(f333(f333(f251(f890(a1,a874)),f333(f312(a880,a1,f105(a1)),x90381)),f333(f312(a880,a1,f105(a1)),x90382)))+P24(f333(f333(f251(f890(a880,a874)),x90381),x90382))
% 163.20/162.96 [9039]~P24(f333(f333(f250(f890(a1,a874)),f333(f312(a880,a1,f105(a1)),x90391)),f333(f312(a880,a1,f105(a1)),x90392)))+P24(f333(f333(f250(f890(a880,a874)),x90391),x90392))
% 163.20/162.96 [10018]~P104(x100181)+E(f121(f881(x100181),f333(f128(f881(x100181)),f118(x100181)),f333(f333(f333(f101(f882(f881(x100181))),f333(f333(f251(a1),f2(a1)),x100182)),f333(f123(f889(x100181,f881(x100181)),f881(x100181),f133(x100181,f881(x100181),f136(x100181,f333(f333(f3(a1),x100182),f79(a1))),f136(f881(x100181),f333(f333(f3(a1),x100182),f79(a1))))),f333(f272(x100181,f881(x100181),f882(f881(x100181))),f333(f333(f10(f890(f881(x100181),f881(x100181)),f890(f881(x100181),f882(f881(x100181))),x100181),f333(f10(f881(x100181),f882(f881(x100181)),f881(x100181)),f128(f881(x100181)))),f152(x100181))))),f120(f881(x100181)))),f136(f881(x100181),x100182))
% 163.20/162.96 [10039]~P24(f333(f63(x100391),x100392))+E(f333(f195(f881(x100391)),f91(f881(x100391),f333(f333(f20(f881(x100391),a874,a874),f333(f333(f10(a874,f890(a874,a874),f881(x100391)),a331),f333(f333(f9(f881(x100391),f890(x100391,a874),a874),f333(f333(f10(f890(x100391,a874),f890(f890(x100391,a874),a874),f881(x100391)),a330),f173(x100391))),x100392))),f138(x100391)))),f224(x100391,x100392))
% 163.20/162.96 [10219]~P20(a876,x102191,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),x102192),f201(x102192))),f194(f890(f879(a876),a874))))+P20(a876,x102191,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),f333(f333(f10(f890(a876,f890(a876,a874)),f890(a876,a874),a876),f333(f10(f890(a876,a874),a874,a876),f88(a876))),f333(f333(f10(f890(a876,a874),f890(a876,f890(a876,a874)),a876),f333(f9(a876,f890(a876,a874),f890(a876,a874)),f333(f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),a876),f20(a876,a874,a874)),f333(f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),a876),f333(f10(a874,f890(a874,a874),a876),a336)),f201(x102192))))),a330))),x102192),a330)),f194(f890(f879(a876),a874))))
% 163.20/162.96 [6081]E(f333(f333(f81(a880),f333(f333(f3(a880),x60811),x60812)),x60812),x60811)+~P24(f333(f333(f250(a880),x60812),x60811))
% 163.20/162.96 [6146]E(f333(f333(f40(a880),f333(f333(f82(a880),x61461),x61462)),x61462),x61461)+~P24(f333(f333(f251(a880),f2(a880)),x61462))
% 163.20/162.96 [6147]E(f333(f333(f40(a880),f333(f333(f82(a880),x61471),x61472)),x61471),x61472)+~P24(f333(f333(f251(a880),f2(a880)),x61471))
% 163.20/162.96 [6153]~P69(x61531)+E(f333(f333(f8(a880,x61531),f333(f166(x61531),x61532)),f333(f303(a880,f2(a880)),f333(f195(f881(x61531)),x61532))),f333(f167(x61531),x61532))
% 163.20/162.96 [6265]E(f46(a880,f333(a117,f333(f333(f82(a880),x62651),x62652)),x62651),f79(a880))+~P24(f333(f333(f251(a880),f79(a880)),x62651))
% 163.20/162.96 [6271]E(f333(a117,f333(f333(f81(a880),f333(f108(a880),x62711)),x62712)),f333(f333(f81(a880),f79(a880)),x62712))+~P24(f333(a200,f333(f108(a1),x62711)))
% 163.20/162.96 [6299]E(f333(a109,f333(f333(f264(a1),f333(f108(a1),x62991)),x62992)),f333(f333(f264(a880),f333(f108(a880),x62991)),x62992))+P24(f333(a200,f333(f108(a1),x62991)))
% 163.20/162.96 [6528]E(f333(f333(f3(a880),x65281),f333(f108(a880),f333(f333(f81(a1),x65282),a102))),f333(f333(f3(a880),f333(a117,x65281)),f333(f108(a880),x65282)))+~P24(f333(f333(f251(a1),a84),x65282))
% 163.20/162.96 [6609]E(x66091,f2(a880))+E(f333(a117,f333(f333(f81(a880),f333(f333(f3(a880),x66091),f79(a880))),x66092)),f333(f333(f81(a880),x66091),x66092))
% 163.20/162.96 [6650]E(x66501,f2(a1))+P24(f333(f333(f251(a1),f2(a1)),f333(f333(f264(a1),f333(f76(a1),x66501)),x66502)))
% 163.20/162.96 [6665]~E(x66652,f2(a880))+P24(f333(f333(f251(a1),f2(a1)),f333(f333(f264(a1),f333(f76(a1),x66651)),x66652)))
% 163.20/162.96 [6702]E(x67021,f2(a880))+E(f333(f333(f81(a880),x67022),f333(f333(f82(a880),f333(f333(f3(a880),x67021),f79(a880))),x67022)),f333(f333(f82(a880),x67021),x67022))
% 163.20/162.96 [6750]~P24(f333(f333(f250(a1),x67501),x67502))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x67501),a102)),x67502))
% 163.20/162.96 [6869]E(f333(f333(f152(a880),x68691),f140(a880,f333(f303(a880,f333(a117,x68691)),x68692))),f140(a880,f333(f303(a880,x68691),x68692)))+~P24(f333(f333(f251(a880),x68691),x68692))
% 163.20/162.96 [7073]E(x70731,f118(x70732))+E(f277(x70732,f333(f333(f155(x70732,f889(a104,x70732)),f333(f263(a104,x70732),f79(a104))),x70731)),f284(x70732,x70731))
% 163.20/162.96 [7294]P24(f333(f333(f250(a1),x72941),x72942))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),x72941),a102)),x72942))
% 163.20/162.96 [7295]E(x72951,x72952)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x72951)),x72951),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x72952)),x72952))
% 163.20/162.96 [7761]~P24(f333(f333(f251(a880),x77611),x77612))+P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x77611),x77612)),a254))
% 163.20/162.96 [7976]~P24(f333(f333(f251(a104),f2(a104)),x79761))+P24(f333(f333(f251(a104),f333(f262(a104,f889(a104,a104)),f333(f278(x79761),x79762))),x79761))
% 163.20/162.96 [8297]~P87(x82971)+P24(f333(f333(f250(x82971),f333(f76(x82971),f333(f167(x82971),x82972))),f333(f167(x82971),f333(f333(f155(x82971,x82971),f76(x82971)),x82972))))
% 163.20/162.96 [8321]P24(f333(f333(f251(a880),x83211),x83212))+~P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),x83211),x83212)),a254))
% 163.20/162.96 [8478]E(f333(f333(f263(x84781,x84781),f788(x84782,x84781)),f788(x84782,x84781)),x84782)+~P24(f333(f333(f335(f889(x84781,x84781)),x84782),f309(x84781,f194(f890(f889(x84781,x84781),a874)))))
% 163.20/162.96 [8521]E(f333(f303(a880,x85211),f333(f333(f81(a880),x85211),f333(f39(a880),x85212))),x85212)+~P24(f333(f333(f250(f890(a880,a874)),x85212),f333(f303(a880,x85211),f333(f333(f81(a880),x85211),f333(f39(a880),x85212)))))
% 163.20/162.96 [8972]E(f177(f881(x89721),f333(f333(f10(a874,a874,f881(x89721)),a328),f333(f333(f9(f881(x89721),f881(x89721),a874),a330),f118(x89721))),x89722),f180(x89721,f180(x89721,x89722)))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x89721),a880),f195(f881(x89721))),x89722)))
% 163.20/162.96 [9653]P20(a876,x96531,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),f333(a26,x96532)),f201(f333(a26,x96532)))),f194(f890(f879(a876),a874))))+~P20(a876,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),f333(a26,x96532)),f201(f333(a26,x96532)))),x96531),f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),f333(f246(a875),f333(a28,x96532))),f201(f333(f246(a875),f333(a28,x96532))))),f194(f890(f879(a876),a874))))
% 163.20/162.96 [9835]P24(f333(a200,x98352))+E(f333(f333(f89(a1,a880),f333(f333(f3(a1),x98351),x98352)),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f2(a880))),a109)),f333(f333(f3(a880),f333(a109,x98351)),f333(a109,x98352)))
% 163.20/162.96 [9848]E(f333(f333(f89(a1,a880),f333(f108(a1),f333(f333(f81(a1),x98481),f333(f80(a1),x98482)))),f333(f333(f20(a1,a880,a880),f333(f333(f9(a1,a880,f890(a880,a880)),f333(f333(f10(a874,f890(a880,f890(a880,a880)),a1),f101(a880)),a200)),f2(a880))),a109)),f333(f333(f3(a880),f333(f108(a880),x98481)),f333(f108(a880),x98482)))+P24(f333(f333(f251(a1),x98482),a84))
% 163.20/162.96 [9849]~P22(x98491,x98492)+P24(f333(f333(f250(f890(f889(x98491,x98491),a874)),f333(f333(f290(x98491,x98491,x98491),f333(f262(f890(f889(x98491,x98491),a874),f890(f889(x98491,x98491),a874)),x98492)),f333(f271(f890(f889(x98491,x98491),a874),f890(f889(x98491,x98491),a874)),x98492))),f333(f262(f890(f889(x98491,x98491),a874),f890(f889(x98491,x98491),a874)),x98492)))
% 163.20/162.96 [9903]~E(f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,f890(a880,a874),a874),f335(a880)),x99031))),f333(f333(f9(a880,a880,a874),f251(a880)),f333(a117,x99032))))),f2(a880))+~P24(f333(f333(f335(a880),f2(a880)),x99031))
% 163.20/162.96 [10007]~P29(x100071)+E(f41(x100071,f333(f255(x100071),f333(f333(f10(f890(x100071,a874),a874,x100071),f88(x100071)),f333(f333(f10(f890(x100071,a874),f890(x100071,a874),x100071),f333(f20(x100071,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100071),a336),f333(f333(f9(x100071,f890(x100071,a874),a874),f335(x100071)),x100072)))),f250(x100071))))),f42(x100071,x100072))
% 163.20/162.96 [10034]~P40(x100341,x100342)+P59(x100341,f333(f333(f9(x100341,f890(f889(x100341,x100341),a874),f890(x100341,a874)),f333(f333(f10(f890(x100341,f890(f890(f889(x100341,x100341),a874),a874)),f890(f890(f889(x100341,x100341),a874),f890(x100341,a874)),x100341),f9(x100341,f890(f889(x100341,x100341),a874),a874)),f333(f333(f10(f890(x100341,f889(x100341,x100341)),f890(x100341,f890(f890(f889(x100341,x100341),a874),a874)),x100341),f333(f10(f889(x100341,x100341),f890(f890(f889(x100341,x100341),a874),a874),x100341),f335(f889(x100341,x100341)))),f263(x100341,x100341)))),x100342))
% 163.20/162.96 [10035]~P6(x100351,f258(f890(x100351,a874)),x100352)+P5(x100351,f333(f333(f9(x100351,f890(f889(x100351,x100351),a874),f890(x100351,a874)),f333(f333(f10(f890(x100351,f890(f890(f889(x100351,x100351),a874),a874)),f890(f890(f889(x100351,x100351),a874),f890(x100351,a874)),x100351),f9(x100351,f890(f889(x100351,x100351),a874),a874)),f333(f333(f10(f890(x100351,f889(x100351,x100351)),f890(x100351,f890(f890(f889(x100351,x100351),a874),a874)),x100351),f333(f10(f889(x100351,x100351),f890(f890(f889(x100351,x100351),a874),a874),x100351),f335(f889(x100351,x100351)))),f263(x100351,x100351)))),x100352))
% 163.20/162.96 [10066]P40(x100661,x100662)+~P59(x100661,f333(f333(f9(x100661,f890(f889(x100661,x100661),a874),f890(x100661,a874)),f333(f333(f10(f890(x100661,f890(f890(f889(x100661,x100661),a874),a874)),f890(f890(f889(x100661,x100661),a874),f890(x100661,a874)),x100661),f9(x100661,f890(f889(x100661,x100661),a874),a874)),f333(f333(f10(f890(x100661,f889(x100661,x100661)),f890(x100661,f890(f890(f889(x100661,x100661),a874),a874)),x100661),f333(f10(f889(x100661,x100661),f890(f890(f889(x100661,x100661),a874),a874),x100661),f335(f889(x100661,x100661)))),f263(x100661,x100661)))),x100662))
% 163.20/162.96 [10067]P6(x100671,f258(f890(x100671,a874)),x100672)+~P5(x100671,f333(f333(f9(x100671,f890(f889(x100671,x100671),a874),f890(x100671,a874)),f333(f333(f10(f890(x100671,f890(f890(f889(x100671,x100671),a874),a874)),f890(f890(f889(x100671,x100671),a874),f890(x100671,a874)),x100671),f9(x100671,f890(f889(x100671,x100671),a874),a874)),f333(f333(f10(f890(x100671,f889(x100671,x100671)),f890(x100671,f890(f890(f889(x100671,x100671),a874),a874)),x100671),f333(f10(f889(x100671,x100671),f890(f890(f889(x100671,x100671),a874),a874),x100671),f335(f889(x100671,x100671)))),f263(x100671,x100671)))),x100672))
% 163.20/162.96 [7250]E(f333(f333(f81(a880),f333(f108(a880),f333(f333(f3(a1),x72501),a102))),x72502),f333(a117,f333(f333(f81(a880),f333(f108(a880),x72501)),x72502)))+P24(f333(a200,f333(f108(a1),x72501)))
% 163.20/162.96 [7740]~P94(x77401)+E(f333(f333(f81(x77401),f333(f333(f81(x77401),f79(x77401)),f333(f108(x77401),x77402))),f333(f108(x77401),x77402)),f333(f108(x77401),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x77402)),x77402)))
% 163.20/162.96 [9088]~P24(f333(f333(f251(a1),x90881),x90882))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90881)),x90881)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90882)),x90882)))
% 163.20/162.96 [9090]~P24(f333(f333(f250(a1),x90901),x90902))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90901)),x90901)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90902)),x90902)))
% 163.20/162.96 [9091]~P24(f333(f333(f92(a1),x90911),x90912))+P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90911)),x90911)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90912)),x90912)))
% 163.20/162.96 [9330]~P24(f333(f63(x93301),x93302))+P24(f333(f63(f890(x93301,a874)),f333(f255(f890(x93301,a874)),f333(f333(f9(f890(x93301,a874),f890(x93301,a874),a874),f250(f890(x93301,a874))),x93302))))
% 163.20/162.96 [9355]P24(f333(f333(f251(a1),x93551),x93552))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93551)),x93551)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93552)),x93552)))
% 163.20/162.96 [9357]P24(f333(f333(f250(a1),x93571),x93572))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93571)),x93571)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93572)),x93572)))
% 163.20/162.96 [9358]P24(f333(f333(f92(a1),x93581),x93582))+~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93581)),x93581)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93582)),x93582)))
% 163.20/162.96 [9383]~E(f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),x93831),f194(f890(f889(a880,a880),a874)))),f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),x93832),f194(f890(f889(a880,a880),a874)))))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x93831),x93832)),a113))
% 163.20/162.96 [9458]E(f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),x94581),f194(f890(f889(a880,a880),a874)))),f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),x94582),f194(f890(f889(a880,a880),a874)))))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x94581),x94582)),a113))
% 163.20/162.96 [9508]P24(f333(f333(f250(a1),f2(a1)),f803(x95081,x95082)))+E(f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95081)),f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95082)))
% 163.20/162.96 [9624]~P24(f333(f333(f250(a1),x96241),x96242))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96241)),x96241)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96242)),x96242)))
% 163.20/162.96 [9626]~P24(f333(f333(f250(a1),x96261),x96262))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96261)),x96261)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96262)),x96262)))
% 163.20/162.96 [9783]P24(f333(f333(f250(a1),x97831),x97832))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97831)),x97831)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97832)),x97832)))
% 163.20/162.96 [9785]P24(f333(f333(f250(a1),x97851),x97852))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97851)),x97851)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97852)),x97852)))
% 163.20/162.96 [10017]~P29(x100171)+E(f42(x100171,f333(f255(x100171),f333(f333(f10(f890(x100171,a874),a874,x100171),f88(x100171)),f333(f333(f10(f890(x100171,a874),f890(x100171,a874),x100171),f333(f20(x100171,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100171),a336),f333(f333(f9(x100171,f890(x100171,a874),a874),f335(x100171)),x100172)))),f333(f9(x100171,x100171,a874),f250(x100171)))))),f41(x100171,x100172))
% 163.20/162.96 [10038]P24(f333(f333(f335(a880),f2(a880)),x100381))+E(f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),a880),f335(a880)),a117)),x100381))),f333(f333(f9(a880,a880,a874),f251(a880)),x100382)))),f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,f890(a880,a874),a874),f335(a880)),x100381))),f333(f333(f9(a880,a880,a874),f251(a880)),f333(a117,x100382))))))
% 163.20/162.96 [7807]~P94(x78071)+E(f333(f333(f82(x78071),x78072),f333(f108(x78071),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),x78072)
% 163.20/162.96 [8037]~P94(x80371)+E(f333(f333(f81(x80371),f333(f108(x80371),x80372)),f79(x80371)),f333(f108(x80371),f333(f333(f81(a1),x80372),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))))
% 163.20/162.96 [8082]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x80822)))+E(f333(f333(f264(a1),x80821),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x80822)),x80822))),f79(a1))
% 163.20/162.96 [9097]E(x90971,x90972)+~E(f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90971)),x90971)),a102),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x90972)),x90972)),a102))
% 163.20/162.96 [9369]~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x93692)))+E(f333(f333(f264(a1),x93691),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93692)),x93692))),f333(f333(f89(a1,a1),f333(f333(f264(a1),x93691),f333(f108(a880),x93692))),f333(f333(f20(a1,a1,a1),f333(f333(f10(a1,f890(a1,a1),a1),f82(a1)),f333(f82(a1),x93691))),f7(a1))))
% 163.20/162.96 [9745]~P24(f333(f333(f250(a880),f811(x97452,x97451)),f333(x97451,f811(x97452,x97451))))+P24(f333(f63(a880),f333(f255(a880),f333(f333(f9(a880,a880,a874),f333(f333(f10(a880,f890(a880,a874),a880),f250(a880)),x97451)),x97452))))
% 163.20/162.96 [9894]~P24(f333(f333(f251(a880),f333(f108(a880),x98941)),f333(a117,x98942)))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x98941),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),f251(a880)),a109)),x98942))))
% 163.20/162.96 [9895]~P24(f333(f333(f250(a880),f333(f108(a880),x98951)),f333(a117,x98952)))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x98951),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),f250(a880)),a109)),x98952))))
% 163.20/162.96 [9931]P24(f333(f333(f251(a880),f333(f108(a880),x99311)),f333(a117,x99312)))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99311),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),f251(a880)),a109)),x99312))))
% 163.20/162.96 [9932]P24(f333(f333(f250(a880),f333(f108(a880),x99321)),f333(a117,x99322)))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99321),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),f250(a880)),a109)),x99322))))
% 163.20/162.96 [9961]~P24(f333(f333(f251(a880),f333(a117,x99612)),f333(f108(a880),x99611)))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99611),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f10(a880,a874,a1),f333(f251(a880),x99612)),a109)))))
% 163.20/162.96 [9962]~P24(f333(f333(f250(a880),f333(a117,x99622)),f333(f108(a880),x99621)))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99621),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f10(a880,a874,a1),f333(f250(a880),x99622)),a109)))))
% 163.20/162.96 [10005]P24(f333(f333(f251(a880),f333(a117,x100051)),f333(f108(a880),x100052)))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x100052),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f10(a880,a874,a1),f333(f251(a880),x100051)),a109)))))
% 163.20/162.96 [10006]P24(f333(f333(f250(a880),f333(a117,x100061)),f333(f108(a880),x100062)))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x100062),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f10(a880,a874,a1),f333(f250(a880),x100061)),a109)))))
% 163.20/162.96 [10083]~P24(f333(f333(f335(a880),f2(a880)),x100831))+E(f333(a117,f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,f890(a880,a874),a874),f333(f333(f10(a880,f890(f890(a880,a874),a874),a880),f335(a880)),a117)),x100831))),f333(f333(f9(a880,a880,a874),f251(a880)),x100832))))),f333(f39(a880),f333(f255(a880),f333(f333(f20(a880,a874,a874),f333(f333(f10(a874,f890(a874,a874),a880),a331),f333(f333(f9(a880,f890(a880,a874),a874),f335(a880)),x100831))),f333(f333(f9(a880,a880,a874),f251(a880)),f333(a117,x100832))))))
% 163.20/162.96 [8667]~P94(x86671)+E(f333(f333(f82(x86671),f333(f108(x86671),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),x86672),x86672)
% 163.20/162.96 [8707]~P94(x87071)+E(f333(f333(f81(x87071),f79(x87071)),f333(f108(x87071),x87072)),f333(f108(x87071),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),x87072)))
% 163.20/162.96 [8745]~P94(x87451)+E(f333(f333(f3(x87451),f333(f108(x87451),x87452)),f79(x87451)),f333(f108(x87451),f333(f333(f81(a1),x87452),f333(f80(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))))
% 163.20/162.96 [8829]~P94(x88291)+E(f333(f333(f82(x88291),f333(f333(f81(x88291),f79(x88291)),f79(x88291))),f333(f108(x88291),x88292)),f333(f108(x88291),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x88292)),x88292)),a102)))
% 163.20/162.96 [8859]~P24(f333(f333(f251(a880),f333(f108(a880),a84)),x88592))+E(f333(f333(f3(a880),x88591),f333(f333(f3(a880),x88592),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),f333(f333(f3(a880),f333(a117,x88591)),x88592))
% 163.20/162.96 [8886]~P94(x88861)+E(f333(f108(x88861),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x88862)),x88862)),a102)),f333(f333(f81(x88861),f333(f333(f81(x88861),f2(x88861)),f333(f108(x88861),x88862))),f333(f108(x88861),x88862)))
% 163.20/162.96 [9472]~P24(f333(f333(f251(a1),x94721),x94722))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94721)),x94721)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94722)),x94722)),a102)))
% 163.20/162.96 [9474]~P24(f333(f333(f251(a1),x94741),x94742))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94741)),x94741)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94742)),x94742)),a102)))
% 163.20/162.96 [9638]P24(f333(f333(f251(a1),x96381),x96382))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96381)),x96381)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96382)),x96382)),a102)))
% 163.20/162.96 [9640]P24(f333(f333(f251(a1),x96401),x96402))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96401)),x96401)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x96402)),x96402)),a102)))
% 163.20/162.96 [9688]~P83(x96881)+E(f333(f333(f264(x96881),x96882),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))),f333(f333(f82(x96881),f333(f333(f82(x96881),x96882),x96882)),x96882))
% 163.20/162.96 [9737]~P24(f333(f333(f251(a1),x97371),x97372))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97371)),x97371)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97372)),x97372)),a102)))
% 163.20/162.96 [9739]~P24(f333(f333(f250(a1),x97391),x97392))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97391)),x97391)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97392)),x97392)),a102)))
% 163.20/162.96 [9740]~P24(f333(f333(f92(a1),x97401),x97402))+P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97401)),x97401)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x97402)),x97402)),a102)))
% 163.20/162.96 [9844]P24(f333(f333(f251(a1),x98441),x98442))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98441)),x98441)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98442)),x98442)),a102)))
% 163.20/162.96 [9846]P24(f333(f333(f250(a1),x98461),x98462))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98461)),x98461)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98462)),x98462)),a102)))
% 163.20/162.96 [9847]P24(f333(f333(f92(a1),x98471),x98472))+~P24(f333(f333(f92(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98471)),x98471)),a102)),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x98472)),x98472)),a102)))
% 163.20/162.96 [9491]~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x94912)))+E(f333(f333(f40(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94911)),x94911))),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94912)),x94912)),a102))),f333(f333(f40(a1),f333(f108(a1),x94911)),f333(f108(a1),x94912)))
% 163.20/162.96 [9514]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x95142)))+E(f333(f333(f40(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95141)),x95141))),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x95142)),x95142)),a102))),f333(f333(f40(a1),f333(f333(f81(a1),f333(f108(a1),x95141)),f79(a1))),f333(f108(a1),x95142)))
% 163.20/162.96 [9995]~E(f333(a117,x99952),f333(f108(a880),x99951))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99951),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),a330),a109)),x99952)))))
% 163.20/162.96 [9996]~E(f333(f108(a880),x99961),f333(a117,x99962))+P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x99961),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),a330),a109)),x99962)))))
% 163.20/162.96 [10041]E(f333(a117,x100411),f333(f108(a880),x100412))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x100412),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),a330),a109)),x100411)))))
% 163.20/162.96 [10042]E(f333(f108(a880),x100421),f333(a117,x100422))+~P24(f333(f333(f89(a1,a874),f333(f108(a1),f333(f333(f81(a1),x100421),a102))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a336),f333(f333(f10(a874,a874,a1),a328),a200))),f333(f333(f9(a1,a880,a874),f333(f333(f10(a880,f890(a880,a874),a1),a330),a109)),x100422)))))
% 163.20/162.96 [10139]~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x101392)))+E(f46(a1,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x101391)),x101391)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x101392)),x101392)),a102))),f333(f333(f81(a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a1,f333(f108(a1),x101391),f333(f108(a1),x101392)))),f79(a1)))
% 163.20/162.96 [10141]P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x101412)))+E(f46(a1,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x101411)),x101411)),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x101412)),x101412)),a102))),f333(f333(f3(a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a1,f333(f333(f81(a1),f333(f108(a1),x101411)),f79(a1)),f333(f108(a1),x101412)))),f79(a1)))
% 163.20/162.96 [9941]~P115(x99411)+E(f333(f333(f82(x99411),x99412),x99412),f333(f333(f264(x99411),x99412),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [9942]~P83(x99421)+E(f333(f333(f264(x99421),x99422),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f82(x99421),x99422),x99422))
% 163.20/162.96 [9943]~P94(x99431)+E(f333(f333(f82(x99431),x99432),f333(f108(x99431),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f81(x99431),x99432),x99432))
% 163.20/162.96 [10021]~P140(x100211)+E(f333(f333(f264(x100211),f333(f80(x100211),x100212)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f264(x100211),x100212),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [10022]~P120(x100221)+E(f333(f333(f264(x100221),f333(f76(x100221),x100222)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f264(x100221),x100222),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [10020]~P94(x100201)+E(f333(f333(f82(x100201),f333(f108(x100201),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x100202),f333(f333(f81(x100201),x100202),x100202))
% 163.20/162.96 [10059]~P120(x100591)+E(f333(f76(x100591),f333(f333(f264(x100591),x100592),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x100591),x100592),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.20/162.96 [10074]~P120(x100741)+P24(f333(f333(f250(x100741),f2(x100741)),f333(f333(f264(x100741),x100742),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.20/162.96 [10072]~P94(x100721)+E(f333(f333(f264(x100721),f333(f108(x100721),a102)),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x100722)),f79(x100721))
% 163.20/162.96 [10073]~P140(x100731)+E(f333(f333(f264(x100731),f333(f80(x100731),f79(x100731))),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x100732)),f79(x100731))
% 163.20/162.96 [10164]~P24(f333(f333(f250(a1),f2(a1)),x101642))+E(f46(a1,f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101641)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101642)),f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a1,x101641,x101642))))
% 163.20/162.96 [10175]~P24(f333(f333(f250(a1),f2(a1)),x101752))+E(f333(f333(f40(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101751))),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101752)),f333(f333(f40(a1),x101751),x101752))
% 163.20/162.96 [10176]~P24(f333(f333(f250(a1),x101762),f2(a1)))+E(f333(f333(f40(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101761))),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101762)),f333(f333(f40(a1),f333(f333(f81(a1),x101761),f79(a1))),x101762))
% 163.20/162.96 [10177]~P24(f333(f333(f250(a1),x101772),f2(a1)))+E(f46(a1,f333(f333(f81(a1),f79(a1)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101771)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101772)),f333(f333(f3(a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f46(a1,f333(f333(f81(a1),x101771),f79(a1)),x101772))),f79(a1)))
% 163.20/162.96 [10122]~P94(x101221)+E(f333(f333(f264(x101221),f333(f108(x101221),a102)),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101222))),f333(f108(x101221),a102))
% 163.20/162.96 [10124]~P140(x101241)+E(f333(f333(f264(x101241),f333(f80(x101241),f79(x101241))),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101242))),f333(f80(x101241),f79(x101241)))
% 163.20/162.96 [5129]~P20(x51291,x51292,x51293)+P23(x51291,x51292,x51293)
% 163.20/162.96 [8019]~E(x80192,x80193)+P37(x80191,x80191,a330,x80192,x80193)
% 163.20/162.96 [8576]E(x85761,x85762)+~P37(x85763,x85763,a330,x85761,x85762)
% 163.20/162.96 [5134]~P40(x51341,x51343)+P40(x51341,f327(x51341,x51342,x51343))
% 163.20/162.96 [5309]P32(x53091,x53092,x53093)+~P32(x53091,f333(a117,x53092),x53093)
% 163.20/162.96 [5394]~P6(x53941,x53942,x53943)+P6(f881(x53941),f162(x53941,x53942),f159(x53941,x53943))
% 163.20/162.96 [5395]~P50(x53951,x53952,x53953)+P50(f881(x53951),f162(x53951,x53952),f159(x53951,x53953))
% 163.20/162.96 [5507]P54(x55071,x55072,x55073)+~E(f743(x55073,x55072,x55071),f744(x55073,x55072,x55071))
% 163.20/162.96 [5508]P55(x55081,x55082,x55083)+~E(f766(x55083,x55082,x55081),f767(x55083,x55082,x55081))
% 163.20/162.96 [6439]P23(x64391,x64392,x64393)+~P32(x64391,f600(x64393,x64392,x64391),f607(x64393,x64392,x64391))
% 163.20/162.96 [4688]~E(x46881,f197(x46882))+~E(x46881,f333(f242(x46882),x46883))
% 163.20/162.96 [4736]~E(f333(f170(x47362),x47361),x47363)+E(x47361,f333(f170(x47362),x47363))
% 163.20/162.96 [4737]~E(x47372,f333(f170(x47371),x47373))+E(f333(f170(x47371),x47372),x47373)
% 163.20/162.96 [4784]E(x47841,x47842)+~E(f333(f242(x47843),x47841),f333(f242(x47843),x47842))
% 163.20/162.96 [4785]E(x47851,x47852)+~E(f333(f170(x47853),x47851),f333(f170(x47853),x47852))
% 163.20/162.96 [4988]~P5(x49883,x49881)+P24(f333(f333(x49881,x49882),x49882))
% 163.20/162.96 [4989]~P52(x49893,x49891)+P24(f333(f333(x49891,x49892),x49892))
% 163.20/162.96 [4991]~P59(x49911,x49912)+P24(f333(f321(x49911,x49912),x49913))
% 163.20/162.96 [5053]~P40(x50531,x50532)+P40(f881(x50531),f333(f144(x50531,x50532),x50533))
% 163.20/162.96 [5058]~P24(f333(x50582,x50583))+~E(f333(f255(x50581),x50582),f194(f890(x50581,a874)))
% 163.20/162.96 [5059]~P24(f333(x50592,x50593))+~E(f194(f890(x50591,a874)),f333(f255(x50591),x50592))
% 163.20/162.97 [5090]~P24(f333(x50901,x50903))+P24(f333(x50901,f91(x50902,x50901)))
% 163.20/162.97 [5214]~E(x52142,x52143)+P24(f333(f333(f335(x52141),x52142),f333(a330,x52143)))
% 163.20/162.97 [5226]P24(f333(x52261,x52262))+~P24(f333(x52261,f583(x52261,x52263)))
% 163.20/162.97 [5273]E(f333(f170(x52731),x52732),f333(f333(f152(x52731),x52733),f118(x52731)))+~E(x52732,f333(f333(f152(x52731),x52733),f118(x52731)))
% 163.20/162.97 [5274]~E(x52743,f333(f333(f152(x52741),x52742),f118(x52741)))+E(f333(f333(f152(x52741),x52742),f118(x52741)),f333(f170(x52741),x52743))
% 163.20/162.97 [5302]~E(x53023,f333(f18(f884(x53022),x53021),f197(x53022)))+E(f184(x53021,x53022,x53023),f194(f890(x53021,a874)))
% 163.20/162.97 [5323]~P36(x53231,x53232,x53233)+P36(x53231,x53232,f333(f170(x53231),x53233))
% 163.20/162.97 [5324]~P34(x53241,x53242,x53243)+P34(x53241,x53242,f333(f170(x53241),x53243))
% 163.20/162.97 [5327]E(f333(f39(x53271),f739(x53272,x53273,x53271)),x53272)+~E(f333(f39(x53271),x53273),f333(a117,x53272))
% 163.20/162.97 [5333]~P40(x53331,x53333)+P24(f333(f333(f335(x53331),x53332),f322(x53331,x53333)))
% 163.20/162.97 [5336]~E(f333(f170(x53362),x53361),f333(f333(f152(x53362),x53363),f118(x53362)))+E(x53361,f333(f333(f152(x53362),x53363),f118(x53362)))
% 163.20/162.97 [5337]~E(f333(f333(f152(x53372),x53373),f118(x53372)),f333(f170(x53372),x53371))+E(x53371,f333(f333(f152(x53372),x53373),f118(x53372)))
% 163.20/162.97 [5352]E(x53521,f333(f18(f884(x53522),x53523),f197(x53522)))+~E(f184(x53523,x53522,x53521),f194(f890(x53523,a874)))
% 163.20/162.97 [5358]E(f86(f889(a880,a880),f49(x53581,x53582)),x53583)+~P24(f333(f49(x53581,x53582),x53583))
% 163.20/162.97 [5366]~E(x53663,f333(f242(x53661),x53662))+P24(f333(f333(f335(x53661),x53662),f241(x53661,x53663)))
% 163.20/162.97 [5398]P36(x53981,x53982,x53983)+~P36(x53981,x53982,f333(f170(x53981),x53983))
% 163.20/162.97 [5399]P34(x53991,x53992,x53993)+~P34(x53991,x53992,f333(f170(x53991),x53993))
% 163.20/162.97 [5461]~E(x54612,f118(x54611))+P24(f333(f333(f335(f881(x54611)),x54612),f162(x54611,x54613)))
% 163.20/162.97 [5468]~P50(x54681,x54682,x54683)+P50(x54681,x54682,f333(f288(x54681,x54681),x54683))
% 163.20/162.97 [5469]~P55(x54691,x54692,x54693)+P55(x54691,x54692,f333(f288(x54691,x54691),x54693))
% 163.20/162.97 [5488]~P60(x54881)+E(f46(x54881,f46(x54881,x54882,x54883),x54883),f46(x54881,x54882,x54883))
% 163.20/162.97 [5581]E(x55811,x55812)+~P24(f333(f333(f335(x55813),x55811),f333(a330,x55812)))
% 163.20/162.97 [5628]~P143(x56281)+E(f196(x56281,x56282,f2(a880),x56283),x56283)
% 163.20/162.97 [5648]P50(x56481,x56482,x56483)+~P50(x56481,x56482,f333(f288(x56481,x56481),x56483))
% 163.20/162.97 [5649]P55(x56491,x56492,x56493)+~P55(x56491,x56492,f333(f288(x56491,x56491),x56493))
% 163.20/162.97 [5653]~P109(x56532)+E(f151(x56531,x56532,x56533,f118(x56531)),f118(x56531))
% 163.20/162.97 [5666]E(f171(x56661,x56662,f153(x56661,x56663)),f153(x56661,f171(x56661,x56662,x56663)))+~P24(f333(f138(x56661),x56663))
% 163.20/162.97 [5672]E(x56721,f333(f242(x56722),x56723))+~P24(f333(f333(f335(x56722),x56723),f241(x56722,x56721)))
% 163.20/162.97 [5757]~P24(f333(a25,x57573))+P24(f333(a25,f30(x57571,x57572,x57573)))
% 163.20/162.97 [5768]E(f333(f137(x57681,x57682),x57683),f118(x57681))+P24(f333(x57682,f624(x57683,x57682,x57681)))
% 163.20/162.97 [5911]~P24(f333(f138(x59111),x59113))+P24(f333(f138(x59111),f171(x59111,x59112,x59113)))
% 163.20/162.97 [5912]~P24(f333(f138(x59121),x59122))+P24(f333(f138(x59121),f175(x59121,x59122,x59123)))
% 163.20/162.97 [5913]~P24(f333(f138(x59131),x59133))+P24(f333(f138(x59131),f177(x59131,x59132,x59133)))
% 163.20/162.97 [5914]~P24(f333(f138(x59141),x59143))+P24(f333(f138(x59141),f141(x59141,x59142,x59143)))
% 163.20/162.97 [5915]~P146(x59151,x59153,x59152)+P24(f333(x59151,f46(a1,x59152,x59153)))
% 163.20/162.97 [5933]~P36(x59333,x59331,x59332)+P24(f333(x59331,f745(x59332,x59331,x59333)))
% 163.20/162.97 [5934]~P38(x59343,x59341,x59342)+P24(f333(x59341,f812(x59342,x59341,x59343)))
% 163.20/162.97 [5956]E(f333(f137(x59561,x59562),x59563),f177(x59561,x59562,x59563))+P24(f333(x59562,f672(x59563,x59562,x59561)))
% 163.20/162.97 [5998]~P24(f333(f138(x59981),x59983))+P24(f333(f138(f881(x59981)),f56(x59981,x59982,x59983)))
% 163.20/162.97 [6019]P24(f333(a25,f29(x60191,x60192,x60193)))+~P24(f333(a25,f333(a26,x60192)))
% 163.20/162.97 [6031]~P110(x60311)+E(f333(f333(f106(f890(x60311,a874)),f333(f256(x60311),x60312)),f304(x60311,x60312,x60313)),f194(f890(x60311,a874)))
% 163.20/162.97 [6032]~P110(x60321)+E(f333(f333(f106(f890(x60321,a874)),f333(f302(x60321),x60322)),f307(x60321,x60322,x60323)),f194(f890(x60321,a874)))
% 163.20/162.97 [6033]~P110(x60331)+E(f333(f333(f106(f890(x60331,a874)),f333(f302(x60331),x60332)),f306(x60331,x60332,x60333)),f194(f890(x60331,a874)))
% 163.20/162.97 [6182]P24(f333(a25,x61821))+~P24(f333(a25,f30(x61822,x61823,x61821)))
% 163.20/162.97 [6184]P24(f333(a25,x61841))+~P24(f333(a25,f31(x61842,x61843,x61841)))
% 163.20/162.97 [6186]P24(f333(a25,x61861))+~P24(f333(a25,f31(x61862,x61861,x61863)))
% 163.20/162.97 [6261]E(f333(f137(x62611,x62612),x62613),x62613)+~P24(f333(x62612,f625(x62613,x62612,x62611)))
% 163.20/162.97 [6263]E(f333(f333(f311(x62631),f866(x62632,x62633,x62631)),f739(x62632,x62633,x62631)),x62633)+~E(f333(f39(x62631),x62633),f333(a117,x62632))
% 163.20/162.97 [6279]P146(x62791,x62792,x62793)+~P24(f333(x62791,f46(a1,x62793,x62792)))
% 163.20/162.97 [6325]P34(x63251,x63252,x63253)+~P24(f333(x63252,f798(x63252,x63253,x63251)))
% 163.20/162.97 [6326]P34(x63261,x63262,x63263)+~P24(f333(x63262,f809(x63263,x63262,x63261)))
% 163.20/162.97 [6327]P34(x63271,x63272,x63273)+~P24(f333(x63272,f810(x63273,x63272,x63271)))
% 163.20/162.97 [6329]E(f177(x63291,x63292,x63293),x63293)+~P24(f333(x63292,f655(x63293,x63292,x63291)))
% 163.20/162.97 [6365]~P24(f333(a25,f29(x63652,x63651,x63653)))+P24(f333(a25,f333(a26,x63651)))
% 163.20/162.97 [6408]~P24(f333(x64082,f594(x64083,x64082,x64081)))+P24(f333(f267(x64081,x64082),x64083))
% 163.20/162.97 [6409]~P24(f333(x64092,f674(x64093,x64092,x64091)))+P24(f333(f161(x64091,x64092),x64093))
% 163.20/162.97 [6651]~P24(f333(f321(x66511,x66512),f483(x66513,x66512,x66511)))+P24(f333(f321(x66511,x66512),x66513))
% 163.20/162.97 [6652]~P24(f333(f321(x66521,x66522),f500(x66523,x66522,x66521)))+P24(f333(f321(x66521,x66522),x66523))
% 163.20/162.97 [7251]~P60(x72511)+E(f333(f333(f81(x72511),f333(f333(f82(x72511),x72512),f333(f333(f40(x72511),x72513),x72512))),f46(x72511,x72513,x72512)),x72513)
% 163.20/162.97 [7701]E(f333(f333(f263(x77011,x77011),f569(x77012,x77013,x77011)),f569(x77012,x77013,x77011)),x77013)+~P24(f333(f333(f335(f889(x77011,x77011)),x77013),f260(x77011,x77012)))
% 163.20/162.97 [7820]~P24(f333(f333(f335(x78201),f694(x78203,x78202,x78201)),f322(x78201,x78203)))+P24(f333(f333(f335(x78201),x78202),f322(x78201,x78203)))
% 163.20/162.97 [7821]~P24(f333(f333(f335(x78211),f747(x78213,x78212,x78211)),f322(x78211,x78213)))+P24(f333(f333(f335(x78211),x78212),f322(x78211,x78213)))
% 163.20/162.97 [7822]~P24(f333(f333(f335(x78221),f756(x78223,x78222,x78221)),f322(x78221,x78223)))+P24(f333(f333(f335(x78221),x78222),f322(x78221,x78223)))
% 163.20/162.97 [8000]~P60(x80001)+E(f333(f333(f81(x80001),f333(f333(f82(x80001),f333(f333(f40(x80001),x80002),x80003)),x80003)),f46(x80001,x80002,x80003)),x80002)
% 163.20/162.97 [8051]~E(f333(f39(x80511),x80512),f333(a117,x80513))+~P24(f333(f333(f335(x80511),f866(x80513,x80512,x80511)),f739(x80513,x80512,x80511)))
% 163.20/162.97 [8663]P24(f333(f333(f250(f890(f889(x86631,x86631),a874)),f309(x86631,x86632)),f309(x86631,x86633)))+~P24(f333(f333(f250(f890(f889(x86631,x86631),a874)),x86632),f309(x86631,x86633)))
% 163.20/162.97 [8941]E(x89411,f118(x89412))+~P24(f333(f333(f335(f889(f881(x89412),f881(x89412))),f333(f333(f263(f881(x89412),f881(x89412)),x89411),f118(x89412))),f159(x89412,x89413)))
% 163.20/162.97 [8966]E(x89661,f118(x89662))+~P24(f333(f333(f335(f889(f881(x89662),f881(x89662))),f333(f333(f263(f881(x89662),f881(x89662)),f118(x89662)),x89661)),f159(x89662,x89663)))
% 163.20/162.97 [9074]E(f333(f333(f152(x90741),f635(x90742,x90743,x90741)),f636(x90742,x90743,x90741)),x90743)+~P24(f333(f333(f335(f889(f881(x90741),f881(x90741))),f333(f333(f263(f881(x90741),f881(x90741)),f118(x90741)),x90743)),f148(x90741,x90742)))
% 163.20/162.97 [9323]~P125(x93231)+~P24(f333(f333(f251(x93231),f333(f333(f81(x93231),f333(f333(f82(x93231),x93232),x93232)),f333(f333(f82(x93231),x93233),x93233))),f2(x93231)))
% 163.20/162.97 [9378]P24(f333(f63(x93781),x93782))+~P24(f333(f333(f335(f889(f890(x93781,a874),f890(x93781,a874))),f333(f333(f263(f890(x93781,a874),f890(x93781,a874)),x93783),x93782)),f308(x93781)))
% 163.20/162.97 [9680]~P48(x96801,x96802,x96803)+P24(f333(f333(f251(a1),f333(f333(f74(f889(a1,a1),a1,x96801,f262(a1,a1)),f222(x96801)),f239(x96801,x96802,f236(x96801,x96803)))),f2(a1)))
% 163.20/162.97 [9681]~P49(x96811,x96812,x96813)+P24(f333(f333(f250(a1),f333(f333(f74(f889(a1,a1),a1,x96811,f262(a1,a1)),f222(x96811)),f239(x96811,x96812,f236(x96811,x96813)))),f2(a1)))
% 163.20/162.97 [9820]P48(x98201,x98202,x98203)+~P24(f333(f333(f251(a1),f333(f333(f74(f889(a1,a1),a1,x98201,f262(a1,a1)),f222(x98201)),f239(x98201,x98202,f236(x98201,x98203)))),f2(a1)))
% 163.20/162.97 [9821]P49(x98211,x98212,x98213)+~P24(f333(f333(f250(a1),f333(f333(f74(f889(a1,a1),a1,x98211,f262(a1,a1)),f222(x98211)),f239(x98211,x98212,f236(x98211,x98213)))),f2(a1)))
% 163.20/162.97 [10213]~P120(x102131)+~P24(f333(f333(f251(x102131),f333(f333(f81(x102131),f333(f333(f264(x102131),x102132),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102131),x102133),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f2(x102131)))
% 163.20/162.97 [4767]~E(x47673,f118(x47671))+E(f333(f333(f127(x47671),x47672),x47673),x47672)
% 163.20/162.97 [4768]~E(x47682,f118(x47681))+E(f333(f333(f127(x47681),x47682),x47683),x47683)
% 163.20/162.97 [4775]~E(x47752,f2(a880))+E(f333(f333(f174(x47751),x47752),x47753),f118(x47751))
% 163.20/162.97 [4779]~E(x47793,f118(x47791))+E(f333(f333(f174(x47791),x47792),x47793),f118(x47791))
% 163.20/162.97 [4819]~E(x48191,x48193)+E(x48191,f333(f333(f127(x48192),f118(x48192)),x48193))
% 163.20/162.97 [4905]~P25(x49052)+E(f333(f194(f890(x49051,x49052)),x49053),f194(x49052))
% 163.20/162.97 [4906]~P107(x49062)+E(f333(f258(f890(x49061,x49062)),x49063),f258(x49062))
% 163.20/162.97 [4925]E(x49251,f118(x49252))+~E(f333(f333(f127(x49252),x49253),x49251),x49253)
% 163.20/162.97 [4926]E(x49261,f118(x49262))+~E(f333(f333(f127(x49262),x49261),x49263),x49263)
% 163.20/162.97 [4934]E(x49341,f118(x49342))+~E(f333(f333(f127(x49342),x49343),x49341),f118(x49342))
% 163.20/162.97 [4935]E(x49351,f118(x49352))+~E(f333(f333(f127(x49352),x49351),x49353),f118(x49352))
% 163.20/162.97 [4958]~E(x49582,f2(a880))+E(f333(f333(f82(a880),x49581),x49582),f333(f333(f82(a880),x49583),x49582))
% 163.20/162.97 [4960]~E(x49601,f2(a880))+E(f333(f333(f82(a880),x49601),x49602),f333(f333(f82(a880),x49601),x49603))
% 163.20/162.97 [5013]~P26(x50131)+E(f333(f333(f115(x50131),x50132),x50133),f333(f333(f115(x50131),x50133),x50132))
% 163.20/162.97 [5015]~P101(x50151)+E(f333(f333(f115(x50151),x50152),x50153),f333(f333(f115(x50151),x50153),x50152))
% 163.20/162.97 [5016]~P26(x50161)+E(f333(f333(f106(x50161),x50162),x50163),f333(f333(f106(x50161),x50163),x50162))
% 163.20/162.97 [5018]~P102(x50181)+E(f333(f333(f106(x50181),x50182),x50183),f333(f333(f106(x50181),x50183),x50182))
% 163.20/162.97 [5019]~P115(x50191)+E(f333(f333(f81(x50191),x50192),x50193),f333(f333(f81(x50191),x50193),x50192))
% 163.20/162.97 [5020]~P115(x50201)+E(f333(f333(f82(x50201),x50202),x50203),f333(f333(f82(x50201),x50203),x50202))
% 163.20/162.97 [5022]~P109(x50221)+E(f333(f333(f248(x50221),x50222),x50223),f333(f333(f248(x50221),x50223),x50222))
% 163.20/162.97 [5024]~P109(x50241)+E(f333(f333(f249(x50241),x50242),x50243),f333(f333(f249(x50241),x50243),x50242))
% 163.20/162.97 [5085]E(f46(a880,x50851,x50852),f2(a880))+~E(x50851,f333(f333(f82(a880),x50852),x50853))
% 163.20/162.97 [5086]E(f46(a1,x50861,x50862),f2(a1))+~E(x50861,f333(f333(f82(a1),x50862),x50863))
% 163.20/162.97 [5146]E(x51461,x51462)+~E(f333(f333(f81(a880),x51463),x51461),f333(f333(f81(a880),x51463),x51462))
% 163.20/162.97 [5147]E(x51471,x51472)+~E(f333(f333(f81(a880),x51471),x51473),f333(f333(f81(a880),x51472),x51473))
% 163.20/162.97 [5156]~P79(x51561)+E(f333(f333(f106(x51561),x51562),f333(f80(x51561),x51563)),f333(f333(f3(x51561),x51562),x51563))
% 163.20/162.97 [5157]~P68(x51571)+E(f333(f333(f81(x51571),x51572),f333(f80(x51571),x51573)),f333(f333(f3(x51571),x51572),x51573))
% 163.20/162.97 [5158]~P75(x51581)+E(f333(f333(f81(x51581),x51582),f333(f80(x51581),x51583)),f333(f333(f3(x51581),x51582),x51583))
% 163.20/162.97 [5159]~P112(x51591)+E(f333(f333(f81(x51591),x51592),f333(f80(x51591),x51593)),f333(f333(f3(x51591),x51592),x51593))
% 163.20/162.97 [5160]~P75(x51601)+E(f333(f333(f3(x51601),x51602),f333(f80(x51601),x51603)),f333(f333(f81(x51601),x51602),x51603))
% 163.20/162.97 [5207]~P24(f333(x52073,x52072))+P24(f333(f333(f335(x52071),x52072),x52073))
% 163.20/162.97 [5209]~P69(x52092)+E(f333(f333(f8(x52091,x52092),x52093),f194(f890(x52091,a874))),f2(x52092))
% 163.20/162.97 [5211]~P76(x52112)+E(f333(f333(f11(x52111,x52112),x52113),f194(f890(x52111,a874))),f79(x52112))
% 163.20/162.97 [5261]~E(x52612,f333(f333(f81(a880),x52611),x52613))+P24(f333(f333(f250(a880),x52611),x52612))
% 163.20/162.97 [5264]~E(x52642,f194(f890(x52641,a874)))+E(f333(f333(f62(x52641),x52642),x52643),f194(f890(f890(x52641,a874),a874)))
% 163.20/162.97 [5265]~E(x52652,f194(f890(x52651,a874)))+E(f194(f890(f890(x52651,a874),a874)),f333(f333(f62(x52651),x52652),x52653))
% 163.20/162.97 [5341]~E(f333(f259(x53412,x53413),x53411),f194(f890(x53413,a874)))+E(x53411,f194(f890(f889(x53412,x53413),a874)))
% 163.20/162.97 [5342]~E(f333(f261(x53422,x53423),x53421),f194(f890(x53422,a874)))+E(x53421,f194(f890(f889(x53422,x53423),a874)))
% 163.20/162.97 [5372]E(f333(f259(x53721,x53722),x53723),f194(f890(x53722,a874)))+~E(x53723,f194(f890(f889(x53721,x53722),a874)))
% 163.20/162.97 [5373]E(f333(f261(x53731,x53732),x53733),f194(f890(x53731,a874)))+~E(x53733,f194(f890(f889(x53731,x53732),a874)))
% 163.20/162.97 [5376]E(f283(x53761,x53762,x53763),f333(f333(f3(a104),x53762),x53763))+P24(f333(f333(f251(a104),x53762),x53763))
% 163.20/162.97 [5392]P24(f333(x53921,x53922))+~P24(f333(f333(f335(x53923),x53922),x53921))
% 163.20/162.97 [5431]E(x54311,x54312)+~E(f333(f80(f890(x54313,a874)),x54311),f333(f80(f890(x54313,a874)),x54312))
% 163.20/162.97 [5436]E(f315(x54361,x54362,x54363),f197(f881(a329)))+~P24(f333(f333(f251(a1),x54362),x54363))
% 163.20/162.97 [5441]~E(x54411,f194(f890(x54412,a874)))+~P24(f333(f333(f335(x54412),x54413),x54411))
% 163.20/162.97 [5470]~E(x54702,f333(f333(f81(a1),x54701),f333(f105(a1),x54703)))+P24(f333(f333(f250(a1),x54701),x54702))
% 163.20/162.97 [5486]E(f333(f333(f311(x54861),x54862),x54863),x54863)+~P24(f333(f333(f335(x54861),x54862),x54863))
% 163.20/162.97 [5497]E(x54971,f194(f890(x54972,a874)))+~E(f333(f333(f62(x54972),x54971),x54973),f194(f890(f890(x54972,a874),a874)))
% 163.20/162.97 [5498]E(x54981,f194(f890(x54982,a874)))+~E(f194(f890(f890(x54982,a874),a874)),f333(f333(f62(x54982),x54981),x54983))
% 163.20/162.97 [5504]~P106(x55041)+E(f333(f333(f82(x55041),f333(f80(x55041),x55042)),f333(f80(x55041),x55043)),f333(f333(f82(x55041),x55042),x55043))
% 163.20/162.97 [5506]~P63(x55061)+E(f333(f333(f291(x55061),f333(f80(x55061),x55062)),f333(f80(x55061),x55063)),f333(f333(f291(x55061),x55062),x55063))
% 163.20/162.97 [5536]~P24(f333(x55363,x55362))+P24(f333(f333(f335(x55361),x55362),f333(f255(x55361),x55363)))
% 163.20/162.97 [5574]E(f171(x55741,x55742,x55743),x55743)+P24(f333(f333(f335(x55741),x55742),f333(f173(x55741),x55743)))
% 163.20/162.97 [5657]~P24(f333(f138(x56571),x56573))+P24(f333(f138(x56571),f333(f137(x56571,x56572),x56573)))
% 163.20/162.97 [5702]~P60(x57021)+E(f333(f333(f40(x57021),f46(x57021,x57022,x57023)),x57023),f2(x57021))
% 163.20/162.97 [5721]E(f175(x57211,f333(f333(f152(x57211),x57212),f118(x57211)),x57213),f118(x57211))+P24(f333(f333(f335(a880),f2(a880)),x57213))
% 163.20/162.97 [5778]E(f333(f333(f152(x57781),x57782),x57783),f141(x57781,x57782,x57783))+P24(f333(f333(f335(x57781),x57782),f333(f173(x57781),x57783)))
% 163.20/162.97 [5787]E(x57871,x57872)+~E(f333(f333(f82(a880),f333(a117,x57873)),x57871),f333(f333(f82(a880),f333(a117,x57873)),x57872))
% 163.20/162.97 [5788]~E(x57882,f333(f333(f81(a1),x57881),f333(f105(a1),f333(a117,x57883))))+P24(f333(f333(f251(a1),x57881),x57882))
% 163.20/162.97 [5893]~E(x58933,f118(x58931))+E(f333(f333(f333(f189(f881(x58931),f881(x58931)),x58932),f169(x58931)),x58933),f118(x58931))
% 163.20/162.97 [5897]P24(f333(x58971,x58972))+~P24(f333(f333(f335(x58973),x58972),f333(f255(x58973),x58971)))
% 163.20/162.97 [5929]E(x59291,x59292)+~E(f333(f333(f311(x59293),x59291),f194(f890(x59293,a874))),f333(f333(f311(x59293),x59292),f194(f890(x59293,a874))))
% 163.20/162.97 [5939]~P110(x59391)+E(f333(f333(f106(f890(x59391,a874)),f333(f256(x59391),x59392)),f333(f303(x59391,x59392),x59393)),f194(f890(x59391,a874)))
% 163.20/162.97 [5982]E(f141(x59821,x59822,x59823),x59823)+~P24(f333(f333(f335(x59821),x59822),f333(f173(x59821),x59823)))
% 163.20/162.97 [6006]~P81(x60061)+E(f333(f312(x60061,x60061,f80(x60061)),f333(f303(x60061,x60062),x60063)),f306(x60061,f333(f80(x60061),x60063),f333(f80(x60061),x60062)))
% 163.20/162.97 [6015]E(f333(f195(f881(x60151)),f171(x60151,x60152,x60153)),f333(f195(f881(x60151)),x60153))+P24(f333(f333(f335(x60151),x60152),f333(f173(x60151),x60153)))
% 163.20/162.97 [6067]~P110(x60671)+E(f333(f333(f106(f890(x60671,a874)),f333(f303(x60671,x60672),x60673)),f333(f257(x60671),x60673)),f194(f890(x60671,a874)))
% 163.20/162.97 [6090]~P81(x60901)+E(f333(f312(x60901,x60901,f80(x60901)),f307(x60901,x60902,x60903)),f307(x60901,f333(f80(x60901),x60903),f333(f80(x60901),x60902)))
% 163.20/162.97 [6091]~P81(x60911)+E(f333(f312(x60911,x60911,f80(x60911)),f304(x60911,x60912,x60913)),f304(x60911,f333(f80(x60911),x60913),f333(f80(x60911),x60912)))
% 163.20/162.97 [6148]E(f175(x61481,f333(f333(f152(x61481),x61482),f118(x61481)),x61483),f333(f333(f152(x61481),x61482),f118(x61481)))+~P24(f333(f333(f335(a880),f2(a880)),x61483))
% 163.20/162.97 [6157]~P81(x61571)+E(f333(f312(x61571,x61571,f80(x61571)),f306(x61571,x61572,x61573)),f333(f303(x61571,f333(f80(x61571),x61573)),f333(f80(x61571),x61572)))
% 163.20/162.97 [6177]~P61(x61771)+E(f46(x61771,f333(f80(x61771),f46(x61771,x61772,x61773)),x61773),f46(x61771,f333(f80(x61771),x61772),x61773))
% 163.20/162.97 [6276]~P24(f333(f63(f889(x62762,x62761)),x62763))+P24(f333(f63(x62761),f333(f259(x62762,x62761),x62763)))
% 163.20/162.97 [6277]~P24(f333(f63(f889(x62771,x62772)),x62773))+P24(f333(f63(x62771),f333(f261(x62771,x62772),x62773)))
% 163.20/162.97 [6283]~P110(x62831)+E(f333(f333(f106(f890(x62831,a874)),f307(x62831,x62832,x62833)),f333(f257(x62831),x62833)),f194(f890(x62831,a874)))
% 163.20/162.97 [6284]~P110(x62841)+E(f333(f333(f106(f890(x62841,a874)),f306(x62841,x62842,x62843)),f333(f305(x62841),x62843)),f194(f890(x62841,a874)))
% 163.20/162.97 [6285]~P110(x62851)+E(f333(f333(f106(f890(x62851,a874)),f304(x62851,x62852,x62853)),f333(f305(x62851),x62853)),f194(f890(x62851,a874)))
% 163.20/162.97 [6348]E(f333(f333(f166(x63481),x63482),f582(x63482,x63483,x63481)),x63483)+~P24(f333(f333(f335(x63481),x63483),f333(f173(x63481),x63482)))
% 163.20/162.97 [6489]E(x64891,f118(x64892))+~E(f333(f333(f333(f189(f881(x64892),f881(x64892)),x64893),f169(x64892)),x64891),f118(x64892))
% 163.20/162.97 [6588]~P24(f333(f63(f889(x65882,x65881)),x65883))+P24(f333(f63(f889(x65881,x65882)),f333(f288(x65882,x65881),x65883)))
% 163.20/162.97 [6739]P55(x67391,x67392,x67393)+P24(f333(f333(f335(x67391),f767(x67393,x67392,x67391)),x67392))
% 163.20/162.97 [6740]P55(x67401,x67402,x67403)+P24(f333(f333(f335(x67401),f766(x67403,x67402,x67401)),x67402))
% 163.20/162.97 [6752]P24(f333(f321(x67521,x67522),x67523))+P24(f333(f333(x67522,f483(x67523,x67522,x67521)),x67523))
% 163.20/162.97 [6753]P24(f333(f321(x67531,x67532),x67533))+P24(f333(f333(x67532,f500(x67533,x67532,x67531)),x67533))
% 163.20/162.97 [6778]E(f333(f195(f881(x67781)),f171(x67781,x67782,x67783)),f333(f333(f3(a880),f333(f195(f881(x67781)),x67783)),f79(a880)))+~P24(f333(f333(f335(x67781),x67782),f333(f173(x67781),x67783)))
% 163.20/162.97 [6816]P24(f333(f267(x68161,x68162),x68163))+P24(f333(f333(f335(x68161),f594(x68163,x68162,x68161)),x68163))
% 163.20/162.97 [6825]~P24(f333(f63(f889(x68252,x68251)),f333(f288(x68251,x68252),x68253)))+P24(f333(f63(f889(x68251,x68252)),x68253))
% 163.20/162.97 [6881]~P24(f333(f333(f335(x68811),x68812),f333(f173(x68811),f119(x68811,x68813))))+P24(f333(f333(f335(x68811),x68812),f333(f173(x68811),x68813)))
% 163.20/162.97 [6886]P23(x68861,x68862,x68863)+P24(f333(f333(f335(f879(x68861)),f607(x68863,x68862,x68861)),x68863))
% 163.20/162.97 [6914]E(f333(f137(x69141,x69142),x69143),x69143)+P24(f333(f333(f335(x69141),f625(x69143,x69142,x69141)),f333(f173(x69141),x69143)))
% 163.20/162.97 [6929]E(f333(f137(x69291,x69292),x69293),f118(x69291))+P24(f333(f333(f335(x69291),f624(x69293,x69292,x69291)),f333(f173(x69291),x69293)))
% 163.20/162.97 [6953]P34(x69531,x69532,x69533)+P24(f333(f333(f335(x69531),f809(x69533,x69532,x69531)),f333(f173(x69531),x69533)))
% 163.20/162.97 [6954]P34(x69541,x69542,x69543)+P24(f333(f333(f335(x69541),f810(x69543,x69542,x69541)),f333(f173(x69541),x69543)))
% 163.20/162.97 [6955]P34(x69551,x69552,x69553)+P24(f333(f333(f335(x69551),f798(x69552,x69553,x69551)),f333(f173(x69551),x69553)))
% 163.20/162.97 [6958]E(f177(x69581,x69582,x69583),x69583)+P24(f333(f333(f335(x69581),f655(x69583,x69582,x69581)),f333(f173(x69581),x69583)))
% 163.20/162.97 [7039]P24(f333(f161(x70391,x70392),x70393))+P24(f333(f333(f335(x70391),f674(x70393,x70392,x70391)),f333(f173(x70391),x70393)))
% 163.20/162.97 [7048]~P36(x70481,x70483,x70482)+P24(f333(f333(f335(x70481),f745(x70482,x70483,x70481)),f333(f173(x70481),x70482)))
% 163.20/162.97 [7049]~P38(x70491,x70493,x70492)+P24(f333(f333(f335(x70491),f812(x70492,x70493,x70491)),f333(f173(x70491),x70492)))
% 163.20/162.97 [7083]P24(f333(f333(f335(x70831),x70832),f712(x70833,x70832,x70831)))+~P24(f333(f333(f335(x70831),x70832),f41(f890(x70831,a874),x70833)))
% 163.20/162.97 [7084]~P69(x70841)+E(f333(f333(f81(x70841),f333(f333(f8(a880,x70841),x70842),f333(f256(a880),x70843))),f333(x70842,x70843)),f333(f333(f8(a880,x70841),x70842),f333(f256(a880),f333(a117,x70843))))
% 163.20/162.97 [7173]~P36(x71732,x71731,x71733)+P24(f333(x71731,f333(f333(f166(x71732),x71733),f760(x71733,x71731,x71732))))
% 163.20/162.97 [7186]~P24(f333(f333(f335(x71861),x71862),f833(x71862,x71863,x71861)))+P24(f333(f333(f335(x71861),x71862),f42(f890(x71861,a874),x71863)))
% 163.20/162.97 [7216]~P69(x72161)+E(f333(f333(f81(x72161),f333(f333(f8(a880,x72161),x72162),f333(f302(a880),x72163))),f333(x72162,f333(a117,x72163))),f333(f333(f8(a880,x72161),x72162),f333(f302(a880),f333(a117,x72163))))
% 163.20/162.97 [7342]P24(f333(f333(f335(f881(x73421)),x73422),f162(x73421,x73423)))+P24(f333(f333(f335(x73421),f627(x73423,x73422,x73421)),f333(f173(x73421),x73422)))
% 163.20/162.97 [7358]~P24(f333(f333(f335(f881(x73581)),x73582),f162(x73581,f322(x73581,x73583))))+P24(f333(f333(f335(f881(x73581)),x73582),f322(f881(x73581),f158(x73581,x73583))))
% 163.20/162.97 [7383]~P24(f333(f333(f335(f881(x73831)),x73832),f322(f881(x73831),f158(x73831,x73833))))+P24(f333(f333(f335(f881(x73831)),x73832),f162(x73831,f322(x73831,x73833))))
% 163.20/162.97 [7419]E(f333(f333(f333(f189(f881(x74191),f881(x74191)),x74192),f169(x74191)),x74193),x74193)+~P24(f333(f333(f250(a880),f333(f195(f881(x74191)),x74193)),f79(a880)))
% 163.20/162.97 [7455]E(f333(f333(f127(x74551),f787(x74552,x74553,x74551)),f333(f333(f152(x74551),x74553),f792(x74552,x74553,x74551))),x74552)+~P24(f333(f333(f335(x74551),x74553),f333(f173(x74551),x74552)))
% 163.20/162.97 [7456]E(f333(f333(f127(x74561),f793(x74562,x74563,x74561)),f333(f333(f152(x74561),x74563),f794(x74562,x74563,x74561))),x74562)+~P24(f333(f333(f335(x74561),x74563),f333(f173(x74561),x74562)))
% 163.20/162.97 [7457]E(f333(f333(f127(x74571),f795(x74572,x74573,x74571)),f333(f333(f152(x74571),x74573),f796(x74572,x74573,x74571))),x74572)+~P24(f333(f333(f335(x74571),x74573),f333(f173(x74571),x74572)))
% 163.20/162.97 [7478]~P21(x74781,x74782,x74783,f258(f890(x74781,a874)))+P21(f881(x74781),f881(x74782),f333(f155(x74781,x74782),x74783),f258(f890(f881(x74781),a874)))
% 163.20/162.97 [7623]E(x76231,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x76232)),x76233)),f333(f271(a880,a880),x76232)))+~P24(f333(f49(x76231,x76233),x76232))
% 163.20/162.97 [7631]P21(x76311,x76312,x76313,f258(f890(x76311,a874)))+~P21(f881(x76311),f881(x76312),f333(f155(x76311,x76312),x76313),f258(f890(f881(x76311),a874)))
% 163.20/162.97 [7669]~P24(f333(f333(f201(x76691),x76692),x76693))+P24(f333(f333(f333(f333(a203,x76691),x76692),f852(x76693,x76692,x76691)),x76693))
% 163.20/162.97 [7673]P24(f333(f333(f335(f890(x76731,a874)),f833(x76732,x76733,x76731)),x76733))+P24(f333(f333(f335(x76731),x76732),f42(f890(x76731,a874),x76733)))
% 163.20/162.97 [7767]P24(f333(f333(f335(f881(x77671)),x77672),f162(x77671,x77673)))+~P24(f333(f333(f335(x77671),f627(x77673,x77672,x77671)),x77673))
% 163.20/162.97 [7864]P34(x78641,x78642,x78643)+~P24(f333(x78642,f333(f333(f166(x78641),x78643),f799(x78643,x78642,x78641))))
% 163.20/162.97 [7889]E(x78891,x78892)+~E(f333(f333(f9(x78893,f890(x78893,a874),a874),f335(x78893)),x78891),f333(f333(f9(x78893,f890(x78893,a874),a874),f335(x78893)),x78892))
% 163.20/162.97 [7895]~P24(f333(f333(f335(f889(x78951,x78951)),x78953),f260(x78951,x78952)))+P24(f333(f333(f335(x78951),f569(x78952,x78953,x78951)),x78952))
% 163.20/162.97 [7897]~P24(f333(f333(f335(x78971),x78973),f41(f890(x78971,a874),x78972)))+P24(f333(f333(f335(f890(x78971,a874)),f712(x78972,x78973,x78971)),x78972))
% 163.20/162.97 [8077]~P24(f333(f333(f335(x80771),x80772),f333(f173(x80771),f793(x80773,x80772,x80771))))+~P24(f333(f333(f335(x80771),x80772),f333(f173(x80771),x80773)))
% 163.20/162.97 [8078]~P24(f333(f333(f335(x80781),x80782),f333(f173(x80781),f796(x80783,x80782,x80781))))+~P24(f333(f333(f335(x80781),x80782),f333(f173(x80781),x80783)))
% 163.20/162.97 [8170]E(f333(f244(f884(f881(a329)),f881(a329),f315(x81701,x81702,f333(f333(f81(a1),x81703),f79(a1))),f242(f881(a329))),f333(x81701,x81703)),f315(x81701,x81702,x81703))+P24(f333(f333(f251(a1),x81702),x81703))
% 163.20/162.97 [8270]E(x82701,f118(x82702))+P24(f333(f333(f335(x82702),f333(f262(x82702,f889(a104,a104)),f333(f284(x82702,x82701),x82703))),f333(f173(x82702),x82701)))
% 163.20/162.97 [8364]~P72(x83641)+E(f333(f143(x83641,x83641,f333(f9(x83641,x83641,x83641),f81(x83641)),x83642),f333(f170(x83641),x83643)),f333(f143(x83641,x83641,f81(x83641),x83642),x83643))
% 163.20/162.97 [8849]~P109(x88491)+E(f333(f173(x88491),f150(x88491,x88491,f7(x88491),x88492,x88493)),f333(f333(f311(x88491),x88492),f333(f173(x88491),x88493)))
% 163.20/162.97 [8861]P24(f333(f333(f251(a880),f2(a880)),f771(x88611,x88612,x88613)))+~P24(f333(f333(f335(f889(x88613,x88613)),x88612),f333(f333(f290(x88613,x88613,x88613),x88611),f309(x88613,x88611))))
% 163.20/162.97 [9143]~P57(x91431,x91432)+~P24(f333(f333(f335(f889(x91431,x91431)),f333(f333(f263(x91431,x91431),x91433),x91433)),f333(f333(f290(x91431,x91431,x91431),x91432),f309(x91431,x91432))))
% 163.20/162.97 [9278]~E(f333(f333(f106(f890(f889(x92781,x92781),a874)),f333(f288(x92781,x92781),x92782)),f309(x92781,x92782)),f194(f890(f889(x92781,x92781),a874)))+~P24(f333(f333(f335(f889(x92781,x92781)),f333(f333(f263(x92781,x92781),x92783),x92783)),f333(f333(f290(x92781,x92781,x92781),x92782),f309(x92781,x92782))))
% 163.20/162.97 [9453]~P24(f333(f63(x94531),x94532))+P24(f333(f333(f250(a880),f333(f39(x94531),f333(f333(f3(f890(x94531,a874)),x94532),f333(f333(f311(x94531),x94533),f194(f890(x94531,a874)))))),f333(f39(x94531),x94532)))
% 163.20/162.97 [5074]~E(x50743,f118(x50741))+E(f145(x50741,f333(f333(f152(x50741),x50742),x50743)),x50742)
% 163.20/162.97 [5082]~E(x50823,f118(x50821))+E(f119(x50821,f333(f333(f152(x50821),x50822),x50823)),f118(x50821))
% 163.20/162.97 [5110]E(x51101,f118(x51102))+E(f145(x51102,f333(f333(f152(x51102),x51103),x51101)),f145(x51102,x51101))
% 163.20/162.97 [5112]E(x51121,f118(x51122))+E(f145(x51122,f333(f333(f127(x51122),x51123),x51121)),f145(x51122,x51121))
% 163.20/162.97 [5118]~E(x51183,f118(x51181))+E(f145(x51181,f333(f333(f127(x51181),x51182),x51183)),f145(x51181,x51182))
% 163.20/162.97 [5119]~E(x51193,f118(x51191))+E(f119(x51191,f333(f333(f127(x51191),x51192),x51193)),f119(x51191,x51192))
% 163.20/162.97 [5150]E(x51501,f118(x51502))+E(f333(f142(x51502),f333(f333(f127(x51502),x51501),x51503)),f333(f142(x51502),x51501))
% 163.20/162.97 [5181]~E(x51812,f118(x51811))+E(f333(f142(x51811),f333(f333(f127(x51811),x51812),x51813)),f333(f142(x51811),x51813))
% 163.20/162.97 [5236]~P26(x52361)+E(f333(f333(f115(x52361),x52362),f333(f333(f106(x52361),x52362),x52363)),x52362)
% 163.20/162.97 [5237]~P26(x52371)+E(f333(f333(f106(x52371),x52372),f333(f333(f115(x52371),x52372),x52373)),x52372)
% 163.20/162.97 [5238]~P109(x52381)+E(f333(f333(f248(x52381),x52382),f333(f333(f249(x52381),x52382),x52383)),x52382)
% 163.20/162.97 [5239]~P109(x52391)+E(f333(f333(f249(x52391),x52392),f333(f333(f248(x52391),x52392),x52393)),x52392)
% 163.20/162.97 [5259]~P60(x52591)+E(f46(x52591,f333(f333(f82(x52591),x52592),x52593),x52593),f2(x52591))
% 163.20/162.97 [5260]~P60(x52601)+E(f46(x52601,f333(f333(f82(x52601),x52602),x52603),x52602),f2(x52601))
% 163.20/162.97 [5335]~P68(x53351)+E(f333(f80(x53351),f333(f333(f3(x53351),x53352),x53353)),f333(f333(f3(x53351),x53353),x53352))
% 163.20/162.97 [5396]E(x53961,f118(x53962))+E(f119(x53962,f333(f333(f152(x53962),x53963),x53961)),f333(f333(f152(x53962),x53963),f119(x53962,x53961)))
% 163.20/162.97 [5397]E(x53971,f118(x53972))+E(f119(x53972,f333(f333(f127(x53972),x53973),x53971)),f333(f333(f127(x53972),x53973),f119(x53972,x53971)))
% 163.20/162.97 [5400]~P29(x54001)+E(f41(x54001,f333(f333(f311(x54001),x54002),x54003)),f333(f333(f115(x54001),x54002),f41(x54001,x54003)))
% 163.20/162.97 [5401]~P29(x54011)+E(f42(x54011,f333(f333(f311(x54011),x54012),x54013)),f333(f333(f106(x54011),x54012),f42(x54011,x54013)))
% 163.20/162.97 [5446]~P26(x54461)+E(f333(f333(f115(x54461),x54462),f333(f333(f115(x54461),x54462),x54463)),f333(f333(f115(x54461),x54462),x54463))
% 163.20/162.97 [5448]~P101(x54481)+E(f333(f333(f115(x54481),x54482),f333(f333(f115(x54481),x54482),x54483)),f333(f333(f115(x54481),x54482),x54483))
% 163.20/162.97 [5449]~P26(x54491)+E(f333(f333(f106(x54491),x54492),f333(f333(f106(x54491),x54492),x54493)),f333(f333(f106(x54491),x54492),x54493))
% 163.20/162.97 [5451]~P102(x54511)+E(f333(f333(f106(x54511),x54512),f333(f333(f106(x54511),x54512),x54513)),f333(f333(f106(x54511),x54512),x54513))
% 163.20/162.97 [5452]~P97(x54521)+E(f333(f333(f82(x54521),x54522),f333(f333(f82(x54521),x54522),x54523)),f333(f333(f82(x54521),x54522),x54523))
% 163.20/162.97 [5454]~P109(x54541)+E(f333(f333(f248(x54541),x54542),f333(f333(f248(x54541),x54542),x54543)),f333(f333(f248(x54541),x54542),x54543))
% 163.20/162.97 [5456]~P109(x54561)+E(f333(f333(f249(x54561),x54562),f333(f333(f249(x54561),x54562),x54563)),f333(f333(f249(x54561),x54562),x54563))
% 163.20/162.97 [5464]~P60(x54641)+E(f46(x54641,f333(f333(f81(x54641),x54642),x54643),x54643),f46(x54641,x54642,x54643))
% 163.20/162.97 [5465]~P60(x54651)+E(f46(x54651,f333(f333(f81(x54651),x54652),x54653),x54652),f46(x54651,x54653,x54652))
% 163.20/162.97 [5471]~P106(x54711)+E(f333(f333(f82(x54711),x54712),f333(f80(x54711),x54713)),f333(f80(x54711),f333(f333(f82(x54711),x54712),x54713)))
% 163.20/162.97 [5472]~P63(x54721)+E(f333(f333(f291(x54721),x54722),f333(f80(x54721),x54723)),f333(f80(x54721),f333(f333(f291(x54721),x54722),x54723)))
% 163.20/162.97 [5473]~P84(x54731)+E(f333(f333(f81(x54731),x54732),f333(f167(x54731),x54733)),f333(f167(x54731),f333(f333(f152(x54731),x54732),x54733)))
% 163.20/162.97 [5503]~P106(x55031)+E(f333(f333(f82(x55031),f333(f80(x55031),x55032)),x55033),f333(f333(f82(x55031),x55032),f333(f80(x55031),x55033)))
% 163.20/162.97 [5509]~P6(x55091,x55092,x55093)+E(f41(f890(x55091,a874),f333(f333(f62(x55091),x55092),x55093)),x55092)
% 163.20/162.97 [5566]~P113(x55661)+E(f333(f333(f82(x55661),x55662),f333(f333(f264(x55661),x55662),x55663)),f333(f333(f264(x55661),x55662),f333(a117,x55663)))
% 163.20/162.97 [5567]~P115(x55671)+E(f333(f333(f82(x55671),x55672),f333(f333(f264(x55671),x55672),x55673)),f333(f333(f264(x55671),x55672),f333(a117,x55673)))
% 163.20/162.97 [5577]~P75(x55771)+E(f333(f333(f81(x55771),f333(f80(x55771),x55772)),f333(f333(f81(x55771),x55772),x55773)),x55773)
% 163.20/162.97 [5600]~P143(x56001)+E(f333(f333(f264(x56001),f333(f105(x56001),x56002)),x56003),f333(f105(x56001),f333(f333(f264(a880),x56002),x56003)))
% 163.20/162.97 [5601]~P140(x56011)+E(f333(f333(f264(x56011),f333(f107(x56011),x56012)),x56013),f333(f107(x56011),f333(f333(f264(a1),x56012),x56013)))
% 163.20/162.97 [5606]~P87(x56061)+E(f333(f76(x56061),f333(f333(f3(x56061),x56062),x56063)),f333(f76(x56061),f333(f333(f3(x56061),x56063),x56062)))
% 163.20/162.97 [5610]~P120(x56101)+E(f333(f333(f82(x56101),f83(x56101,x56102)),f83(x56101,x56103)),f83(x56101,f333(f333(f82(x56101),x56102),x56103)))
% 163.20/162.97 [5614]E(x56141,f118(x56142))+E(f333(f333(f127(x56142),f333(f172(x56142),x56141)),x56143),f333(f172(x56142),f333(f333(f127(x56142),x56141),x56143)))
% 163.20/162.97 [5619]~E(x56192,f333(a117,f333(f333(f81(a880),x56191),x56193)))+P24(f333(f333(f251(a880),x56191),x56192))
% 163.20/162.97 [5620]~P106(x56201)+E(f333(f333(f82(x56201),f333(f80(x56201),x56202)),x56203),f333(f80(x56201),f333(f333(f82(x56201),x56202),x56203)))
% 163.20/162.97 [5621]~P118(x56211)+E(f333(f333(f291(x56211),f333(f80(x56211),x56212)),x56213),f333(f80(x56211),f333(f333(f291(x56211),x56212),x56213)))
% 163.20/162.97 [5622]~P120(x56221)+E(f333(f333(f264(x56221),f333(f76(x56221),x56222)),x56223),f333(f76(x56221),f333(f333(f264(x56221),x56222),x56223)))
% 163.20/162.97 [5720]E(f581(x57201,x57202,x57203),f585(x57201,x57202,x57203))+E(f333(f333(f106(f890(x57203,a874)),x57202),x57201),f194(f890(x57203,a874)))
% 163.20/162.97 [5734]~P69(x57342)+E(f333(f333(f8(x57341,x57342),f333(f18(x57342,x57341),f2(x57342))),x57343),f2(x57342))
% 163.20/162.97 [5735]~P76(x57352)+E(f333(f333(f11(x57351,x57352),f333(f18(x57352,x57351),f79(x57352))),x57353),f79(x57352))
% 163.20/162.97 [5737]~P94(x57371)+E(f333(f333(f3(x57371),f333(f108(x57371),x57372)),f333(f108(x57371),x57373)),f333(f108(x57371),f333(f333(f3(a1),x57372),x57373)))
% 163.20/162.97 [5740]~P143(x57401)+E(f333(f333(f81(x57401),f333(f105(x57401),x57402)),f333(f105(x57401),x57403)),f333(f105(x57401),f333(f333(f81(a880),x57402),x57403)))
% 163.20/162.97 [5741]~P143(x57411)+E(f333(f333(f82(x57411),f333(f105(x57411),x57412)),f333(f105(x57411),x57413)),f333(f105(x57411),f333(f333(f82(a880),x57412),x57413)))
% 163.20/162.97 [5742]~P140(x57421)+E(f333(f333(f3(x57421),f333(f107(x57421),x57422)),f333(f107(x57421),x57423)),f333(f107(x57421),f333(f333(f3(a1),x57422),x57423)))
% 163.20/162.97 [5743]~P140(x57431)+E(f333(f333(f81(x57431),f333(f107(x57431),x57432)),f333(f107(x57431),x57433)),f333(f107(x57431),f333(f333(f81(a1),x57432),x57433)))
% 163.20/162.97 [5744]~P140(x57441)+E(f333(f333(f82(x57441),f333(f107(x57441),x57442)),f333(f107(x57441),x57443)),f333(f107(x57441),f333(f333(f82(a1),x57442),x57443)))
% 163.20/162.97 [5745]~P94(x57451)+E(f333(f333(f81(x57451),f333(f108(x57451),x57452)),f333(f108(x57451),x57453)),f333(f108(x57451),f333(f333(f81(a1),x57452),x57453)))
% 163.20/162.97 [5746]~P94(x57461)+E(f333(f333(f82(x57461),f333(f108(x57461),x57462)),f333(f108(x57461),x57463)),f333(f108(x57461),f333(f333(f82(a1),x57462),x57463)))
% 163.20/162.97 [5795]~E(x57953,x57952)+P24(f333(f333(f250(f890(x57951,a874)),x57952),x57953))
% 163.20/162.97 [5801]~E(x58012,x58013)+P24(f333(f333(f250(f890(x58011,a874)),x58012),x58013))
% 163.20/162.97 [5806]~P79(x58061)+E(f333(f333(f106(x58061),f333(f80(x58061),x58062)),f333(f80(x58061),x58063)),f333(f80(x58061),f333(f333(f115(x58061),x58062),x58063)))
% 163.20/162.97 [5807]~P79(x58071)+E(f333(f333(f115(x58071),f333(f80(x58071),x58072)),f333(f80(x58071),x58073)),f333(f80(x58071),f333(f333(f106(x58071),x58072),x58073)))
% 163.20/162.97 [5808]~P75(x58081)+E(f333(f333(f81(x58081),f333(f80(x58081),x58082)),f333(f80(x58081),x58083)),f333(f80(x58081),f333(f333(f81(x58081),x58083),x58082)))
% 163.20/162.97 [5809]~P68(x58091)+E(f333(f333(f81(x58091),f333(f80(x58091),x58092)),f333(f80(x58091),x58093)),f333(f80(x58091),f333(f333(f81(x58091),x58092),x58093)))
% 163.20/162.97 [5810]~P77(x58101)+E(f333(f333(f249(x58101),f333(f80(x58101),x58102)),f333(f80(x58101),x58103)),f333(f80(x58101),f333(f333(f248(x58101),x58102),x58103)))
% 163.20/162.97 [5811]~P77(x58111)+E(f333(f333(f248(x58111),f333(f80(x58111),x58112)),f333(f80(x58111),x58113)),f333(f80(x58111),f333(f333(f249(x58111),x58112),x58113)))
% 163.20/162.97 [5812]~P120(x58121)+E(f333(f333(f82(x58121),f333(f76(x58121),x58122)),f333(f76(x58121),x58123)),f333(f76(x58121),f333(f333(f82(x58121),x58122),x58123)))
% 163.20/162.97 [5813]~P65(x58131)+E(f333(f333(f291(x58131),f333(f76(x58131),x58132)),f333(f76(x58131),x58133)),f333(f76(x58131),f333(f333(f291(x58131),x58132),x58133)))
% 163.20/162.97 [5814]~P84(x58141)+E(f333(f333(f81(x58141),f333(f167(x58141),x58142)),f333(f167(x58141),x58143)),f333(f167(x58141),f333(f333(f127(x58141),x58142),x58143)))
% 163.20/162.97 [5815]E(x58151,f194(f890(x58152,a874)))+~E(f333(f333(f115(f890(x58152,a874)),x58153),x58151),f194(f890(x58152,a874)))
% 163.20/162.97 [5816]E(x58161,f194(f890(x58162,a874)))+~E(f333(f333(f115(f890(x58162,a874)),x58161),x58163),f194(f890(x58162,a874)))
% 163.20/162.97 [5817]~P147(x58171,x58173,x58172)+P24(f333(x58171,f333(f333(f40(a1),x58172),x58173)))
% 163.20/162.97 [5867]~P24(f333(f63(x58671),x58673))+P24(f333(f63(x58671),f333(f333(f311(x58671),x58672),x58673)))
% 163.20/162.97 [5868]~P24(f333(f138(x58681),x58683))+P24(f333(f138(x58681),f333(f333(f174(x58681),x58682),x58683)))
% 163.20/162.97 [5869]~P24(f333(f138(x58691),x58693))+P24(f333(f138(x58691),f333(f333(f139(x58691),x58692),x58693)))
% 163.20/162.97 [5898]~P26(x58981)+P24(f333(f333(f250(x58981),x58982),f333(f333(f115(x58981),x58983),x58982)))
% 163.20/162.97 [5899]~P101(x58991)+P24(f333(f333(f250(x58991),x58992),f333(f333(f115(x58991),x58993),x58992)))
% 163.20/162.97 [5900]~P26(x59001)+P24(f333(f333(f250(x59001),x59002),f333(f333(f115(x59001),x59002),x59003)))
% 163.20/162.97 [5901]~P101(x59011)+P24(f333(f333(f250(x59011),x59012),f333(f333(f115(x59011),x59012),x59013)))
% 163.20/162.97 [5902]~P109(x59021)+P24(f333(f333(f250(x59021),x59022),f333(f333(f249(x59021),x59023),x59022)))
% 163.20/162.97 [5903]~P109(x59031)+P24(f333(f333(f250(x59031),x59032),f333(f333(f249(x59031),x59032),x59033)))
% 163.20/162.97 [5917]~E(x59171,f2(a880))+E(f333(f333(f40(a880),f333(f333(f82(a880),x59171),x59172)),f333(f333(f82(a880),x59171),x59173)),f2(a880))
% 163.20/162.97 [5985]P24(f333(x59851,x59852))+P24(f333(f333(f201(f33(x59851,x59853)),x59852),x59852))
% 163.20/162.97 [6000]~P94(x60001)+E(f333(f333(f3(x60001),f333(f108(x60001),x60002)),f333(f108(x60001),x60003)),f333(f108(x60001),f333(f333(f81(a1),x60002),f333(f80(a1),x60003))))
% 163.20/162.97 [6054]E(x60541,f2(a880))+E(f333(f333(f40(a880),f333(f333(f82(a880),x60541),x60542)),f333(f333(f82(a880),x60541),x60543)),f333(f333(f40(a880),x60542),x60543))
% 163.20/162.97 [6088]E(f153(x60881,f333(f333(f152(x60881),x60882),x60883)),f333(f333(f152(x60881),x60882),f153(x60881,x60883)))+P24(f333(f333(f335(x60881),x60882),f333(f173(x60881),x60883)))
% 163.20/162.97 [6122]P147(x61221,x61222,x61223)+~P24(f333(x61221,f333(f333(f40(a1),x61223),x61222)))
% 163.20/162.97 [6194]E(x61941,f118(x61942))+E(f333(f333(f152(x61942),f333(f142(x61942),x61941)),f333(f333(f174(x61942),x61943),f333(f172(x61942),x61941))),f333(f333(f174(x61942),f333(a117,x61943)),x61941))
% 163.20/162.97 [6201]E(f333(f333(f3(f890(x62011,a874)),x62012),x62013),x62012)+~E(f333(f333(f106(f890(x62011,a874)),x62012),x62013),f194(f890(x62011,a874)))
% 163.20/162.97 [6214]E(f153(x62141,f333(f333(f152(x62141),x62142),x62143)),f153(x62141,x62143))+~P24(f333(f333(f335(x62141),x62142),f333(f173(x62141),x62143)))
% 163.20/162.97 [6246]~P24(f333(f333(f251(a880),x62461),x62463))+P24(f333(f333(f251(a880),x62461),f333(f333(f81(a880),x62462),x62463)))
% 163.20/162.97 [6248]~P24(f333(f333(f251(a880),x62481),x62482))+P24(f333(f333(f251(a880),x62481),f333(f333(f81(a880),x62482),x62483)))
% 163.20/162.97 [6250]~P24(f333(f333(f250(a880),x62501),x62503))+P24(f333(f333(f250(a880),x62501),f333(f333(f81(a880),x62502),x62503)))
% 163.20/162.97 [6252]~P24(f333(f333(f250(a880),x62521),x62522))+P24(f333(f333(f250(a880),x62521),f333(f333(f81(a880),x62522),x62523)))
% 163.20/162.97 [6291]P24(f333(f63(x62911),x62912))+~P24(f333(f63(x62911),f333(f333(f311(x62911),x62913),x62912)))
% 163.20/162.97 [6292]P24(f333(f138(x62921),x62922))+~P24(f333(f138(x62921),f333(f333(f152(x62921),x62923),x62922)))
% 163.20/162.97 [6293]P24(f333(f138(x62931),x62932))+~P24(f333(f138(x62931),f333(f333(f127(x62931),x62933),x62932)))
% 163.24/162.97 [6294]P24(f333(f138(x62941),x62942))+~P24(f333(f138(x62941),f333(f333(f127(x62941),x62942),x62943)))
% 163.24/162.97 [6337]~P115(x63371)+E(f333(f333(f81(x63371),x63372),f333(f333(f82(x63371),x63373),x63372)),f333(f333(f82(x63371),f333(f333(f81(x63371),x63373),f79(x63371))),x63372))
% 163.24/162.97 [6386]~E(x63861,x63862)+~P24(f333(f333(f251(f890(x63863,a874)),x63861),x63862))
% 163.24/162.97 [6430]P24(f333(f333(f335(x64301),x64302),x64303))+P24(f333(f333(f335(x64301),x64302),f333(f80(f890(x64301,a874)),x64303)))
% 163.24/162.97 [6436]E(f145(x64361,f333(f333(f139(x64361),x64362),x64363)),f145(x64361,x64363))+~P24(f333(f333(f251(a880),x64362),f333(f195(f881(x64361)),x64363)))
% 163.24/162.97 [6437]E(f333(f333(f174(x64371),x64372),f119(x64371,x64373)),f333(f333(f174(x64371),x64372),x64373))+~P24(f333(f333(f251(a880),x64372),f333(f195(f881(x64371)),x64373)))
% 163.24/162.97 [6491]E(f333(f333(f333(f189(f881(x64911),f881(x64911)),x64912),f169(x64911)),x64913),x64913)+~E(f46(a880,x64912,f333(f195(f881(x64911)),x64913)),f2(a880))
% 163.24/162.97 [6498]~P6(x64981,x64983,x64982)+E(f333(f333(f290(x64981,x64981,x64981),f333(f288(x64981,x64981),x64982)),x64982),x64982)
% 163.24/162.97 [6537]~E(f333(f333(f115(f890(x65371,a874)),x65372),x65373),x65373)+P24(f333(f333(f250(f890(x65371,a874)),x65372),x65373))
% 163.24/162.97 [6542]~P54(x65421,x65421,x65423)+P54(x65421,x65421,f333(f333(f189(f889(x65421,x65421),a874),x65422),x65423))
% 163.24/162.97 [6544]~P24(f333(f333(f335(x65441),x65443),f333(f173(x65441),x65442)))+P24(f333(f333(f251(a880),f2(a880)),f333(f195(f881(x65441)),x65442)))
% 163.24/162.97 [6570]~P87(x65701)+E(f333(f76(x65701),f333(f333(f81(x65701),f333(f76(x65701),x65702)),f333(f76(x65701),x65703))),f333(f333(f81(x65701),f333(f76(x65701),x65702)),f333(f76(x65701),x65703)))
% 163.24/162.97 [6581]E(f333(f333(f40(a880),f333(f333(f82(a880),x65811),x65812)),f333(f333(f82(a880),x65811),x65813)),f333(f333(f40(a880),x65812),x65813))+~P24(f333(f333(f251(a880),f2(a880)),x65811))
% 163.24/162.97 [6629]E(x66291,x66292)+~P24(f333(f333(f333(f333(a203,a24),x66291),x66293),x66292))
% 163.24/162.97 [6718]~P24(f333(f63(x67181),x67183))+E(f333(f333(f66(x67181,f890(x67181,a874),f311(x67181)),x67182),x67183),f333(f333(f115(f890(x67181,a874)),x67183),x67182))
% 163.24/162.97 [6771]E(f333(f333(f115(f890(x67711,a874)),x67712),x67713),x67712)+~P24(f333(f333(f250(f890(x67711,a874)),x67713),x67712))
% 163.24/162.97 [6773]E(f333(f333(f115(f890(x67731,a874)),x67732),x67733),x67733)+~P24(f333(f333(f250(f890(x67731,a874)),x67732),x67733))
% 163.24/162.97 [6774]E(f333(f333(f106(f890(x67741,a874)),x67742),x67743),x67743)+~P24(f333(f333(f250(f890(x67741,a874)),x67743),x67742))
% 163.24/162.97 [6775]E(f333(f333(f106(f890(x67751,a874)),x67752),x67753),x67752)+~P24(f333(f333(f250(f890(x67751,a874)),x67752),x67753))
% 163.24/162.97 [6823]~P24(f333(f138(x68231),x68232))+E(f333(f333(f3(f890(x68231,a874)),f333(f173(x68231),x68232)),f333(f333(f311(x68231),x68233),f194(f890(x68231,a874)))),f333(f173(x68231),f171(x68231,x68233,x68232)))
% 163.24/162.97 [6876]P40(x68761,x68762)+~P40(x68761,f333(f333(f189(f889(x68761,x68761),a874),x68763),x68762))
% 163.24/162.97 [6940]P24(f333(f50(x69401,x69402),f333(a52,x69403)))+~P24(f333(f50(f333(f80(a1),x69401),f333(f80(a1),x69402)),x69403))
% 163.24/162.97 [6945]E(f333(f333(f3(f890(x69451,a874)),f333(f333(f311(x69451),x69452),x69453)),f333(f333(f311(x69451),x69452),f194(f890(x69451,a874)))),x69453)+P24(f333(f333(f335(x69451),x69452),x69453))
% 163.24/162.97 [6967]E(f333(f333(f106(f890(x69671,a874)),f333(f173(x69671),x69672)),f333(f173(x69671),x69673)),f194(f890(x69671,a874)))+~P24(f333(f138(x69671),f333(f333(f127(x69671),x69672),x69673)))
% 163.24/162.97 [6983]~P24(f333(f333(f335(x69831),x69832),f333(f173(x69831),x69833)))+~P24(f333(f138(x69831),f333(f333(f152(x69831),x69832),x69833)))
% 163.24/162.97 [7055]P34(x70551,x70552,x70553)+P24(f333(f333(f251(a880),f799(x70553,x70552,x70551)),f333(f195(f881(x70551)),x70553)))
% 163.24/162.97 [7065]E(f333(f333(f106(f890(x70651,a874)),x70652),x70653),f194(f890(x70651,a874)))+P24(f333(f333(f335(x70651),f581(x70653,x70652,x70651)),x70652))
% 163.24/162.97 [7066]E(f333(f333(f106(f890(x70661,a874)),x70662),x70663),f194(f890(x70661,a874)))+P24(f333(f333(f335(x70661),f585(x70663,x70662,x70661)),x70663))
% 163.24/162.97 [7070]E(f119(x70701,f333(f333(f174(x70701),x70702),x70703)),f333(f333(f174(x70701),f333(f333(f3(a880),x70702),f79(a880))),x70703))+~P24(f333(f333(f250(a880),x70702),f333(f195(f881(x70701)),x70703)))
% 163.24/162.97 [7128]~P36(x71283,x71282,x71281)+P24(f333(f333(f251(a880),f760(x71281,x71282,x71283)),f333(f195(f881(x71283)),x71281)))
% 163.24/162.97 [7146]P24(f333(f333(f251(a880),f2(a880)),x71461))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x71462),x71461)),f333(f333(f82(a880),x71463),x71461)))
% 163.24/162.97 [7147]P24(f333(f333(f251(a880),f2(a880)),x71471))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x71471),x71472)),f333(f333(f82(a880),x71471),x71473)))
% 163.24/162.97 [7150]~P24(f333(f333(f335(x71501),x71502),x71503))+~P24(f333(f333(f335(x71501),x71502),f333(f80(f890(x71501,a874)),x71503)))
% 163.24/162.97 [7157]~P24(f333(f333(f251(f890(x71571,a874)),x71572),x71573))+P24(f333(f333(f250(f890(x71571,a874)),x71572),x71573))
% 163.24/162.97 [7258]~P24(f333(f333(f251(a880),x72582),x72583))+P24(f333(f333(f251(a880),f333(f333(f81(a880),x72581),x72582)),f333(f333(f81(a880),x72581),x72583)))
% 163.24/162.97 [7259]~P24(f333(f333(f251(a880),x72591),x72593))+P24(f333(f333(f251(a880),f333(f333(f81(a880),x72591),x72592)),f333(f333(f81(a880),x72593),x72592)))
% 163.24/162.97 [7260]~P24(f333(f333(f251(a1),x72601),x72603))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x72601),x72602)),f333(f333(f81(a1),x72603),x72602)))
% 163.24/162.97 [7261]~P24(f333(f333(f250(a880),x72613),x72612))+P24(f333(f333(f250(a880),f333(f333(f3(a880),x72611),x72612)),f333(f333(f3(a880),x72611),x72613)))
% 163.24/162.97 [7262]~P24(f333(f333(f250(a880),x72621),x72623))+P24(f333(f333(f250(a880),f333(f333(f3(a880),x72621),x72622)),f333(f333(f3(a880),x72623),x72622)))
% 163.24/162.97 [7263]~P24(f333(f333(f250(a880),x72632),x72633))+P24(f333(f333(f250(a880),f333(f333(f81(a880),x72631),x72632)),f333(f333(f81(a880),x72631),x72633)))
% 163.24/162.97 [7264]~P24(f333(f333(f250(a880),x72641),x72643))+P24(f333(f333(f250(a880),f333(f333(f81(a880),x72641),x72642)),f333(f333(f81(a880),x72643),x72642)))
% 163.24/162.97 [7266]~P24(f333(f333(f250(a880),x72662),x72663))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x72661),x72662)),f333(f333(f82(a880),x72661),x72663)))
% 163.24/162.97 [7268]~P24(f333(f333(f250(a880),x72681),x72683))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x72681),x72682)),f333(f333(f82(a880),x72683),x72682)))
% 163.24/162.97 [7269]~P24(f333(f333(f250(a880),x72691),x72693))+P24(f333(f333(f250(a880),f333(f333(f40(a880),x72691),x72692)),f333(f333(f40(a880),x72693),x72692)))
% 163.24/162.97 [7270]~P24(f333(f333(f250(a1),x72702),x72703))+P24(f333(f333(f250(a1),f333(f333(f81(a1),x72701),x72702)),f333(f333(f81(a1),x72701),x72703)))
% 163.24/162.97 [7341]E(x73411,x73412)+~P24(f333(f333(f335(x73413),x73411),f333(f333(f311(x73413),x73412),f194(f890(x73413,a874)))))
% 163.24/162.97 [7343]~E(f333(f333(f106(f890(x73431,a874)),x73432),x73433),f194(f890(x73431,a874)))+P24(f333(f333(f250(f890(x73431,a874)),x73432),f333(f80(f890(x73431,a874)),x73433)))
% 163.24/162.97 [7351]P24(f333(f333(f335(f890(x73511,a874)),x73512),f333(f310(x73511),x73513)))+~P24(f333(f333(f250(f890(x73511,a874)),x73512),x73513))
% 163.24/162.97 [7403]E(f333(f333(f152(x74031),f333(f333(f166(x74031),x74032),x74033)),f333(f333(f139(x74031),f333(a117,x74033)),x74032)),f333(f333(f139(x74031),x74033),x74032))+~P24(f333(f333(f251(a880),x74033),f333(f195(f881(x74031)),x74032)))
% 163.24/162.97 [7430]P24(f333(f333(f335(f889(x74301,x74301)),x74302),f309(x74301,x74303)))+~P24(f333(f333(f335(f889(x74301,x74301)),x74302),x74303))
% 163.24/162.97 [7441]~P24(f333(f333(f335(f890(x74411,a874)),x74412),f333(f310(x74411),x74413)))+P24(f333(f333(f250(f890(x74411,a874)),x74412),x74413))
% 163.24/162.97 [7484]P24(f333(f333(f250(f890(x74841,a874)),x74842),f41(f890(x74841,a874),x74843)))+~P24(f333(f333(f335(f890(x74841,a874)),x74842),x74843))
% 163.24/162.97 [7509]~P140(x75091)+E(f333(f333(f82(x75091),f333(f333(f264(x75091),f333(f80(x75091),f79(x75091))),x75092)),f333(f333(f264(x75091),x75093),x75092)),f333(f333(f264(x75091),f333(f80(x75091),x75093)),x75092))
% 163.24/162.97 [7530]E(f333(f333(f166(x75301),x75302),f333(f333(f3(a880),f333(f195(f881(x75301)),x75302)),f333(a117,x75303))),f333(f333(f166(x75301),f333(f170(x75301),x75302)),x75303))+~P24(f333(f333(f251(a880),x75303),f333(f195(f881(x75301)),x75302)))
% 163.24/162.97 [7547]~E(f333(f333(f106(f890(x75471,a874)),f671(x75473,x75472,x75471)),x75473),f194(f890(x75471,a874)))+E(f333(f333(f106(f890(x75471,a874)),f41(f890(x75471,a874),x75472)),x75473),f194(f890(x75471,a874)))
% 163.24/162.97 [7605]~P24(f333(f333(f335(x76053),x76052),f333(f173(x76053),x76051)))+P24(f333(f333(f251(a880),f582(x76051,x76052,x76053)),f333(f195(f881(x76053)),x76051)))
% 163.24/162.97 [7613]P24(f333(f333(f335(x76131),f333(f333(f166(x76131),x76132),x76133)),f333(f173(x76131),x76132)))+~P24(f333(f333(f251(a880),x76133),f333(f195(f881(x76131)),x76132)))
% 163.24/162.97 [7712]~P24(f333(x77122,f662(x77123,x77122,x77121)))+E(f333(f333(f139(x77121),f333(f195(f881(x77121)),f177(x77121,x77122,x77123))),x77123),f118(x77121))
% 163.24/162.97 [7722]P24(f333(f333(f250(f890(f881(x77221),a874)),f162(x77221,x77222)),f162(x77221,x77223)))+~P24(f333(f333(f250(f890(x77221,a874)),x77222),x77223))
% 163.24/162.97 [7723]P24(f333(f333(f250(f890(f881(x77231),a874)),f161(x77231,x77232)),f161(x77231,x77233)))+~P24(f333(f333(f250(f890(x77231,a874)),x77232),x77233))
% 163.24/162.97 [7752]E(f333(f333(f106(f890(x77521,a874)),f41(f890(x77521,a874),x77522)),x77523),f194(f890(x77521,a874)))+P24(f333(f333(f335(f890(x77521,a874)),f671(x77523,x77522,x77521)),x77522))
% 163.24/162.97 [7755]~P24(f333(f333(f335(f890(x77551,a874)),x77553),x77552))+P24(f333(f333(f250(f890(x77551,a874)),f42(f890(x77551,a874),x77552)),x77553))
% 163.24/162.97 [7757]E(f333(f333(f106(f890(x77571,a874)),x77572),x77573),f194(f890(x77571,a874)))+~P24(f333(f333(f250(f890(x77571,a874)),x77572),f333(f80(f890(x77571,a874)),x77573)))
% 163.24/162.97 [7806]E(f333(f333(f3(a880),f333(f333(f81(a880),f333(f167(a880),x78061)),x78062)),f333(f333(f166(a880),x78061),x78063)),f333(f167(a880),f333(f333(f160(a880,x78061),x78063),x78062)))+~P24(f333(f333(f251(a880),x78063),f333(f195(f881(a880)),x78061)))
% 163.24/162.97 [7857]P24(f333(f333(f251(a880),x78571),x78572))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),x78573),x78571)),f333(f333(f81(a880),x78573),x78572)))
% 163.24/162.97 [7858]P24(f333(f333(f251(a880),x78581),x78582))+~P24(f333(f333(f251(a880),f333(f333(f82(a880),x78583),x78581)),f333(f333(f82(a880),x78583),x78582)))
% 163.24/162.97 [7859]P24(f333(f333(f251(a880),x78591),x78592))+~P24(f333(f333(f251(a880),f333(f333(f82(a880),x78591),x78593)),f333(f333(f82(a880),x78592),x78593)))
% 163.24/162.97 [7860]P24(f333(f333(f250(a880),x78601),x78602))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x78603),x78601)),f333(f333(f81(a880),x78603),x78602)))
% 163.24/162.97 [7887]P24(f333(f333(f251(a880),f2(a880)),x78871))+~P24(f333(f333(f251(a880),f333(f333(f82(a880),x78872),x78871)),f333(f333(f82(a880),x78873),x78871)))
% 163.24/162.97 [7888]P24(f333(f333(f251(a880),f2(a880)),x78881))+~P24(f333(f333(f251(a880),f333(f333(f82(a880),x78881),x78882)),f333(f333(f82(a880),x78881),x78883)))
% 163.24/162.97 [7956]E(f266(x79561,x79562,x79563),x79562)+~P24(f333(f333(f250(f890(x79561,a874)),x79563),f333(f333(f311(x79561),x79562),f194(f890(x79561,a874)))))
% 163.24/162.97 [8013]~P24(f333(f138(x80131),x80133))+E(f333(f137(x80131,f333(f333(f10(a874,a874,x80131),a328),f333(a330,x80132))),x80133),f171(x80131,x80132,x80133))
% 163.24/162.97 [8036]E(f333(f333(f139(x80361),f333(f195(f881(x80361)),f177(x80361,x80362,x80363))),x80363),f118(x80361))+P24(f333(f333(f335(x80361),f662(x80363,x80362,x80361)),f333(f173(x80361),x80363)))
% 163.24/162.97 [8041]E(f333(f333(f127(x80411),f333(f333(f174(x80411),x80412),x80413)),f333(f333(f152(x80411),f333(f333(f166(x80411),x80413),x80412)),f118(x80411))),f333(f333(f174(x80411),f333(a117,x80412)),x80413))+~P24(f333(f333(f251(a880),x80412),f333(f195(f881(x80411)),x80413)))
% 163.24/162.97 [8108]E(f333(f137(x81081,f333(f333(f10(a874,a874,x81081),a328),f333(a330,x81082))),x81083),x81083)+P24(f333(f333(f335(x81081),x81082),f333(f173(x81081),x81083)))
% 163.24/162.97 [8116]P24(f333(f333(f250(f890(f890(x81161,a874),a874)),f267(x81161,x81162)),f267(x81161,x81163)))+~P24(f333(f333(f250(f890(x81161,a874)),x81162),x81163))
% 163.24/162.97 [8161]~P24(f333(f138(x81611),x81613))+P24(f333(f138(x81611),f333(f333(f333(f189(f881(x81611),f881(x81611)),x81612),f169(x81611)),x81613)))
% 163.24/162.97 [8166]~P24(f333(f333(f251(a880),x81662),x81663))+P24(f333(f333(f251(a880),f333(f333(f82(a880),f333(a117,x81661)),x81662)),f333(f333(f82(a880),f333(a117,x81661)),x81663)))
% 163.24/162.97 [8189]P24(f333(f333(f250(f890(f890(x81891,a874),a874)),f333(f310(x81891),x81892)),f333(f310(x81891),x81893)))+~P24(f333(f333(f250(f890(x81891,a874)),x81892),x81893))
% 163.24/162.97 [8346]~P24(f333(f333(f250(f890(x83461,a874)),x83463),x83462))+P24(f333(f333(f250(f890(x83461,a874)),f333(f80(f890(x83461,a874)),x83462)),f333(f80(f890(x83461,a874)),x83463)))
% 163.24/162.97 [8380]E(f333(f312(a880,a880,f333(f333(f9(a880,a880,a880),f3(a880)),x83801)),f333(f303(a880,x83802),x83803)),f333(f303(a880,f333(f333(f3(a880),x83802),x83801)),f333(f333(f3(a880),x83803),x83801)))+~P24(f333(f333(f251(a880),x83801),x83803))
% 163.24/162.97 [8403]~P84(x84031)+E(f333(f333(f81(x84031),x84032),f333(f143(x84031,x84031,f81(x84031),f2(x84031)),x84033)),f333(f143(x84031,x84031,f81(x84031),x84032),x84033))
% 163.24/162.97 [8488]~P87(x84881)+P24(f333(f333(f250(x84881),f333(f76(x84881),f333(f333(f3(x84881),x84882),x84883))),f333(f333(f81(x84881),f333(f76(x84881),x84882)),f333(f76(x84881),x84883))))
% 163.24/162.97 [8489]~P87(x84891)+P24(f333(f333(f250(x84891),f333(f76(x84891),f333(f333(f81(x84891),x84892),x84893))),f333(f333(f81(x84891),f333(f76(x84891),x84892)),f333(f76(x84891),x84893))))
% 163.24/162.97 [8499]E(f333(f333(f81(a1),f333(f333(f82(a1),x84991),f46(a1,f333(f333(f40(a1),x84992),x84991),x84993))),f46(a1,x84992,x84991)),f46(a1,x84992,f333(f333(f82(a1),x84991),x84993)))+~P24(f333(f333(f251(a1),f2(a1)),x84993))
% 163.24/162.97 [8504]E(f333(f333(f127(x85041),f333(f333(f174(x85041),x85042),x85043)),f333(f333(f152(x85041),f333(f142(x85041),f333(f333(f139(x85041),x85042),x85043))),f118(x85041))),f333(f333(f174(x85041),f333(a117,x85042)),x85043))+~P24(f333(f333(f251(a880),x85042),f333(f195(f881(x85041)),x85043)))
% 163.24/162.97 [8528]E(f333(f279(x85281,f333(f333(f155(x85281,f889(a104,x85281)),f333(f263(a104,x85281),f79(a104))),x85282)),f333(a5,x85283)),f333(f333(f166(x85281),x85282),x85283))+~P24(f333(f333(f251(a880),x85283),f333(f195(f881(x85281)),x85282)))
% 163.24/162.97 [8592]P24(f333(f333(f335(f889(x85921,x85921)),x85922),f333(f333(f290(x85921,x85921,x85921),x85923),f309(x85921,x85923))))+~P24(f333(f333(f335(f889(x85921,x85921)),x85922),x85923))
% 163.24/162.97 [8613]P24(f333(f333(f250(a880),x86131),x86132))+~P24(f333(f333(f250(a880),f333(f333(f82(a880),f333(a117,x86133)),x86131)),f333(f333(f82(a880),f333(a117,x86133)),x86132)))
% 163.24/162.97 [8626]P24(f333(f333(f250(f890(x86261,a874)),x86262),x86263))+~P24(f333(f333(f250(f890(x86261,a874)),f333(f80(f890(x86261,a874)),x86263)),f333(f80(f890(x86261,a874)),x86262)))
% 163.24/162.97 [8644]P24(f333(f138(x86441),x86442))+~P24(f333(f138(x86441),f333(f333(f333(f189(f881(x86441),f881(x86441)),x86443),f169(x86441)),x86442)))
% 163.24/162.97 [8695]E(f333(f312(f889(x86951,x86952),x86952,f271(x86951,x86952)),f333(f173(f889(x86951,x86952)),x86953)),f186(x86951,x86952,f333(f178(x86951,x86952),x86953)))+~P24(f333(f138(x86951),f333(f333(f155(f889(x86951,x86952),x86951),f262(x86951,x86952)),x86953)))
% 163.24/162.97 [8704]E(f333(f287(x87041,x87041,f309(x87041,x87042)),x87043),x87043)+~P24(f333(f333(f250(f890(x87041,a874)),f333(f287(x87041,x87041,x87042),x87043)),x87043))
% 163.24/162.97 [8747]~P109(x87471)+P31(x87471,f333(f137(x87471,f333(f333(f9(x87471,x87471,a874),a330),f333(x87472,x87473))),x87473))
% 163.24/162.97 [8753]~P24(f333(f333(f250(a880),x87531),x87532))+P24(f333(f333(f250(a880),x87531),f333(f143(a880,a880,f81(a880),x87532),x87533)))
% 163.24/162.97 [8834]~P24(f333(f333(f335(f889(x88341,x88341)),x88342),f309(x88341,x88343)))+P24(f333(f333(f335(f889(x88341,x88341)),x88342),f333(f333(f189(f889(x88341,x88341),a874),f769(x88343,x88342,x88341)),x88343)))
% 163.24/162.97 [8927]~P84(x89271)+E(f333(f333(f81(x89271),x89272),f333(f143(x89271,x89271,f333(f9(x89271,x89271,x89271),f81(x89271)),f2(x89271)),f333(f170(x89271),x89273))),f333(f143(x89271,x89271,f81(x89271),x89272),x89273))
% 163.24/162.97 [9191]P54(x91911,x91912,x91913)+P24(f333(f333(f335(f889(x91911,x91912)),f333(f333(f263(x91911,x91912),f764(x91913,x91912,x91911)),f744(x91913,x91912,x91911))),x91913))
% 163.24/162.97 [9192]P54(x91921,x91922,x91923)+P24(f333(f333(f335(f889(x91921,x91922)),f333(f333(f263(x91921,x91922),f764(x91923,x91922,x91921)),f743(x91923,x91922,x91921))),x91923))
% 163.24/162.97 [9260]~P24(f333(f333(f335(f889(x92601,x92601)),x92602),f333(f333(f290(x92601,x92601,x92601),x92603),f309(x92601,x92603))))+P24(f333(f333(f335(f889(x92601,x92601)),x92602),f333(f333(f189(f889(x92601,x92601),a874),f771(x92603,x92602,x92601)),x92603)))
% 163.24/162.97 [9261]~P24(f333(x92611,f333(f333(f166(x92612),x92613),f333(f195(f881(x92612)),f177(x92612,x92611,x92613)))))+~P24(f333(f333(f251(a880),f333(f195(f881(x92612)),f177(x92612,x92611,x92613))),f333(f195(f881(x92612)),x92613)))
% 163.24/162.97 [9353]~P24(f333(f333(f250(f890(x93531,a874)),x93532),x93533))+P24(f333(f333(f250(f890(x93531,a874)),f333(f333(f9(x93531,f890(x93531,a874),a874),f335(x93531)),x93532)),f333(f333(f9(x93531,f890(x93531,a874),a874),f335(x93531)),x93533)))
% 163.24/162.97 [9404]~P24(f333(f333(f335(f889(f890(x94041,a874),f890(x94041,a874))),f333(f333(f263(f890(x94041,a874),f890(x94041,a874)),x94042),x94043)),f308(x94041)))+P24(f333(f333(f251(f890(x94041,a874)),x94042),x94043))
% 163.24/162.97 [9429]P55(x94291,x94292,x94293)+~P24(f333(f333(f335(f889(x94291,x94291)),f333(f333(f263(x94291,x94291),f767(x94293,x94292,x94291)),f766(x94293,x94292,x94291))),x94293))
% 163.24/162.97 [9430]P55(x94301,x94302,x94303)+~P24(f333(f333(f335(f889(x94301,x94301)),f333(f333(f263(x94301,x94301),f766(x94303,x94302,x94301)),f767(x94303,x94302,x94301))),x94303))
% 163.24/162.97 [9464]~P24(f333(f333(f335(f889(f881(x94641),f881(x94641))),f333(f333(f263(f881(x94641),f881(x94641)),x94642),x94642)),f148(x94641,x94643)))+P24(f333(f333(f335(f889(x94641,x94641)),f333(f333(f263(x94641,x94641),f639(x94642,x94643,x94641)),f639(x94642,x94643,x94641))),x94643))
% 163.24/162.97 [9530]P24(f333(f333(f250(f890(x95301,a874)),x95302),x95303))+~P24(f333(f333(f250(f890(x95301,a874)),f333(f333(f9(x95301,f890(x95301,a874),a874),f335(x95301)),x95302)),f333(f333(f9(x95301,f890(x95301,a874),a874),f335(x95301)),x95303)))
% 163.24/162.97 [9617]E(f333(f333(f3(a880),f333(f333(f8(a880,a880),x96171),f333(f256(a880),x96172))),f333(f333(f8(a880,a880),x96173),f333(f256(a880),x96172))),f333(f333(f8(a880,a880),f333(f333(f20(a880,a880,a880),f333(f333(f10(a880,f890(a880,a880),a880),f3(a880)),x96171)),x96173)),f333(f256(a880),x96172)))+~P24(f333(f333(f250(a880),f333(x96173,f519(x96172,x96171,x96173))),f333(x96171,f519(x96172,x96171,x96173))))
% 163.24/162.97 [9926]E(f333(f255(f889(x99261,x99262)),f333(f272(x99261,x99262,a874),f333(f333(f9(x99261,f890(x99262,f884(x99262)),f890(x99262,a874)),f333(f333(f10(f890(f884(x99262),a874),f890(f890(x99262,f884(x99262)),f890(x99262,a874)),x99261),f10(f884(x99262),a874,x99262)),f333(f333(f10(f884(x99262),f890(f884(x99262),a874),x99261),a330),f333(f178(x99261,x99262),x99263)))),f242(x99262)))),f333(f173(f889(x99261,x99262)),x99263))+~P24(f333(f138(x99261),f333(f333(f155(f889(x99261,x99262),x99261),f262(x99261,x99262)),x99263)))
% 163.24/162.97 [5654]~P75(x56541)+E(f333(f333(f3(x56541),f333(f333(f81(x56541),x56542),x56543)),x56543),x56542)
% 163.24/162.97 [5655]~P75(x56551)+E(f333(f333(f81(x56551),f333(f333(f3(x56551),x56552),x56553)),x56553),x56552)
% 163.24/162.97 [5875]~P75(x58751)+E(f333(f333(f81(x58751),x58752),f333(f333(f81(x58751),f333(f80(x58751),x58752)),x58753)),x58753)
% 163.24/162.97 [5959]~P83(x59591)+E(f333(f333(f82(x59591),f333(f333(f264(x59591),x59592),x59593)),x59592),f333(f333(f264(x59591),x59592),f333(a117,x59593)))
% 163.24/162.97 [5960]~P115(x59601)+E(f333(f333(f82(x59601),f333(f333(f264(x59601),x59602),x59603)),x59602),f333(f333(f264(x59601),x59602),f333(a117,x59603)))
% 163.24/162.97 [6174]~P120(x61741)+E(f333(f76(x61741),f333(f333(f264(x61741),f333(f80(x61741),x61742)),x61743)),f333(f76(x61741),f333(f333(f264(x61741),x61742),x61743)))
% 163.24/162.97 [6228]~P83(x62281)+E(f333(f333(f82(x62281),f333(f333(f264(x62281),x62282),x62283)),x62282),f333(f333(f82(x62281),x62282),f333(f333(f264(x62281),x62282),x62283)))
% 163.24/162.97 [6282]E(f333(f333(f3(a104),f333(f333(f81(a104),x62821),x62822)),x62823),f283(x62821,x62822,x62823))+~P24(f333(f333(f251(a104),x62822),x62823))
% 163.24/162.97 [6302]~E(f333(f333(f139(x63021),x63023),x63022),f118(x63021))+P24(f333(f333(f250(a880),f333(f195(f881(x63021)),x63022)),x63023))
% 163.24/162.97 [6435]E(f333(f333(f82(a880),f333(f108(a880),x64351)),f333(f333(f82(a880),f333(f108(a880),x64352)),x64353)),f2(a880))+~P24(f333(f333(f251(a1),x64351),a84))
% 163.24/162.97 [6451]~P63(x64511)+E(f333(f333(f264(x64511),f333(f333(f291(x64511),f79(x64511)),x64512)),x64513),f333(f333(f291(x64511),f79(x64511)),f333(f333(f264(x64511),x64512),x64513)))
% 163.24/162.97 [6522]E(f333(f333(f3(a880),f333(f333(f81(a880),x65221),x65222)),x65223),f333(f333(f3(a880),x65221),f333(f333(f3(a880),x65223),x65222)))+~P24(f333(f333(f250(a880),x65222),x65223))
% 163.24/162.97 [6524]E(f333(f333(f3(a880),f333(f333(f81(a880),x65241),x65242)),x65243),f333(f333(f81(a880),x65241),f333(f333(f3(a880),x65242),x65243)))+~P24(f333(f333(f250(a880),x65243),x65242))
% 163.24/162.97 [6561]~P26(x65611)+P24(f333(f333(f250(x65611),f333(f333(f106(x65611),x65612),x65613)),x65613))
% 163.24/162.97 [6562]~P102(x65621)+P24(f333(f333(f250(x65621),f333(f333(f106(x65621),x65622),x65623)),x65623))
% 163.24/162.97 [6563]~P26(x65631)+P24(f333(f333(f250(x65631),f333(f333(f106(x65631),x65632),x65633)),x65632))
% 163.24/162.97 [6564]~P102(x65641)+P24(f333(f333(f250(x65641),f333(f333(f106(x65641),x65642),x65643)),x65642))
% 163.24/162.97 [6565]~P109(x65651)+P24(f333(f333(f250(x65651),f333(f333(f248(x65651),x65652),x65653)),x65653))
% 163.24/162.97 [6566]~P109(x65661)+P24(f333(f333(f250(x65661),f333(f333(f248(x65661),x65662),x65663)),x65662))
% 163.24/162.97 [6580]E(f333(f333(f40(a1),f333(f333(f40(a1),x65801),x65802)),x65803),f333(f333(f40(a1),x65801),f333(f333(f82(a1),x65802),x65803)))+~P24(f333(f333(f251(a1),f2(a1)),x65803))
% 163.24/162.97 [6632]~P115(x66321)+E(f333(f333(f81(x66321),f333(f333(f82(x66321),x66322),x66323)),x66323),f333(f333(f82(x66321),f333(f333(f81(x66321),x66322),f79(x66321))),x66323))
% 163.24/162.97 [6633]~P94(x66331)+E(f333(f333(f82(x66331),f333(f80(x66331),f333(f108(x66331),x66332))),x66333),f333(f333(f82(x66331),f333(f108(x66331),f333(f80(a1),x66332))),x66333))
% 163.24/162.97 [6705]~P84(x67051)+E(f333(f167(x67051),f333(f333(f155(x67052,x67051),f333(f18(x67051,x67052),f2(x67051))),x67053)),f2(x67051))
% 163.24/162.97 [6721]E(f333(f333(f81(a880),f333(f108(a880),x67211)),f333(f333(f81(a880),f333(f108(a880),x67212)),x67213)),f333(f333(f81(a880),f333(f108(a880),x67212)),x67213))+~P24(f333(a200,f333(f108(a1),x67211)))
% 163.24/162.97 [6735]~P29(x67351)+E(f41(x67351,f333(f333(f311(x67351),x67352),f333(f333(f311(x67351),x67353),f194(f890(x67351,a874))))),f333(f333(f115(x67351),x67352),x67353))
% 163.24/162.97 [6736]~P29(x67361)+E(f42(x67361,f333(f333(f311(x67361),x67362),f333(f333(f311(x67361),x67363),f194(f890(x67361,a874))))),f333(f333(f106(x67361),x67362),x67363))
% 163.24/162.97 [6759]E(f333(f333(f174(x67591),x67592),x67593),x67593)+~P24(f333(f333(f250(a880),f333(f195(f881(x67591)),x67593)),x67592))
% 163.24/162.97 [6766]E(f333(f333(f139(x67661),x67662),x67663),f118(x67661))+~P24(f333(f333(f250(a880),f333(f195(f881(x67661)),x67663)),x67662))
% 163.24/162.97 [6777]E(f333(f333(f81(a880),f333(f333(f3(a880),x67771),x67772)),x67773),f333(f333(f3(a880),f333(f333(f81(a880),x67771),x67773)),x67772))+~P24(f333(f333(f250(a880),x67772),x67771))
% 163.24/162.97 [6791]~P24(f333(f333(f251(a880),x67911),x67913))+P24(f333(f333(f251(a880),f333(f333(f3(a880),x67911),x67912)),x67913))
% 163.24/162.97 [6817]~P109(x68171)+E(f171(x68171,x68172,f333(f333(f149(x68171,x68171,f7(x68171)),x68172),x68173)),x68173)
% 163.24/162.97 [6902]E(f333(f333(f3(a880),f333(f333(f81(a880),x69021),x69022)),f333(a117,x69023)),f333(f333(f3(a880),x69021),f333(a117,f333(f333(f3(a880),x69023),x69022))))+~P24(f333(f333(f250(a880),x69022),x69023))
% 163.24/162.97 [6903]~P120(x69031)+P24(f333(f333(f250(x69031),f2(x69031)),f333(f333(f264(x69031),f333(f76(x69031),x69032)),x69033)))
% 163.24/162.97 [6951]P20(x69511,x69512,x69513)+~P24(f333(f333(f250(f890(f879(x69511),a874)),x69513),x69512))
% 163.24/162.97 [6994]~P24(f333(f63(x69941),x69942))+P24(f333(f63(x69941),f333(f333(f3(f890(x69941,a874)),x69942),x69943)))
% 163.24/162.97 [6995]~P24(f333(f63(x69951),x69953))+P24(f333(f63(x69951),f333(f333(f106(f890(x69951,a874)),x69952),x69953)))
% 163.24/162.97 [6996]~P24(f333(f63(x69961),x69962))+P24(f333(f63(x69961),f333(f333(f106(f890(x69961,a874)),x69962),x69963)))
% 163.24/162.97 [7136]~P40(x71361,x71363)+P40(x71361,f333(f333(f106(f890(f889(x71361,x71361),a874)),x71362),x71363))
% 163.24/162.97 [7137]~P40(x71371,x71372)+P40(x71371,f333(f333(f106(f890(f889(x71371,x71371),a874)),x71372),x71373))
% 163.24/162.97 [7254]~P26(x72541)+E(f12(x72541,f333(f173(x72541),f333(f333(f152(x72541),x72542),x72543))),f333(f143(x72541,x72541,f115(x72541),x72542),x72543))
% 163.24/162.97 [7255]~P26(x72551)+E(f13(x72551,f333(f173(x72551),f333(f333(f152(x72551),x72552),x72553))),f333(f143(x72551,x72551,f106(x72551),x72552),x72553))
% 163.24/162.97 [7256]~P109(x72561)+E(f16(x72561,f333(f173(x72561),f333(f333(f152(x72561),x72562),x72563))),f333(f143(x72561,x72561,f248(x72561),x72562),x72563))
% 163.24/162.97 [7257]~P109(x72571)+E(f17(x72571,f333(f173(x72571),f333(f333(f152(x72571),x72572),x72573))),f333(f143(x72571,x72571,f249(x72571),x72572),x72573))
% 163.24/162.97 [7313]~P24(f333(f63(x73131),x73132))+P24(f333(f333(f250(a880),f333(f39(x73131),x73132)),f333(f39(x73131),f333(f333(f311(x73131),x73133),x73132))))
% 163.24/162.97 [7314]E(f333(f333(f115(f890(a880,a874)),f333(f303(a880,x73141),x73142)),f333(f303(a880,x73142),f333(f333(f81(a880),x73142),x73143))),f333(f303(a880,x73141),f333(f333(f81(a880),x73142),x73143)))+~P24(f333(f333(f250(a880),x73141),x73142))
% 163.24/162.97 [7322]P24(f333(f333(f251(a880),x73221),x73222))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),x73221),x73223)),x73222))
% 163.24/162.97 [7325]P24(f333(f333(f250(a880),x73251),x73252))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x73253),x73251)),x73252))
% 163.24/162.97 [7326]P24(f333(f333(f250(a880),x73261),x73262))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x73261),x73263)),x73262))
% 163.24/162.97 [7367]~P109(x73671)+E(f14(x73671,f248(x73671),f333(f173(x73671),f333(f333(f152(x73671),x73672),x73673))),f333(f143(x73671,x73671,f248(x73671),x73672),x73673))
% 163.24/162.97 [7368]~P109(x73681)+E(f15(x73681,f249(x73681),f333(f173(x73681),f333(f333(f152(x73681),x73682),x73683))),f333(f143(x73681,x73681,f249(x73681),x73682),x73683))
% 163.24/162.97 [7372]~E(x73722,f194(f890(f889(x73721,x73721),a874)))+P24(f333(f333(f250(f890(f889(x73721,x73721),a874)),x73722),x73723))
% 163.24/162.97 [7479]E(f333(f333(f115(f890(x74791,a874)),x74792),f333(f333(f3(f890(x74791,a874)),x74793),x74792)),x74793)+~P24(f333(f333(f250(f890(x74791,a874)),x74792),x74793))
% 163.24/162.97 [7480]~P24(f333(f333(f251(a880),x74801),f333(f333(f3(a880),x74803),x74802)))+P24(f333(f333(f251(a880),f333(f333(f81(a880),x74801),x74802)),x74803))
% 163.24/162.97 [7481]~P24(f333(f333(f250(a880),x74811),f333(f333(f81(a880),x74813),x74812)))+P24(f333(f333(f250(a880),f333(f333(f3(a880),x74811),x74812)),x74813))
% 163.24/162.97 [7537]E(x75371,f118(x75372))+E(f333(f142(x75372),f333(f333(f333(f189(f881(x75372),f881(x75372)),x75373),f169(x75372)),x75371)),f333(f333(f166(x75372),x75371),f46(a880,x75373,f333(f195(f881(x75372)),x75371))))
% 163.24/162.97 [7546]E(f333(f333(f311(x75461),x75462),f333(f333(f3(f890(x75461,a874)),x75463),f333(f333(f311(x75461),x75462),f194(f890(x75461,a874))))),x75463)+~P24(f333(f333(f335(x75461),x75462),x75463))
% 163.24/162.97 [7703]P24(f333(f333(f251(a880),x77031),f333(f333(f3(a880),x77032),x77033)))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),x77031),x77033)),x77032))
% 163.24/162.97 [7704]P24(f333(f333(f250(a880),x77041),f333(f333(f81(a880),x77042),x77043)))+~P24(f333(f333(f250(a880),f333(f333(f3(a880),x77041),x77043)),x77042))
% 163.24/162.97 [7726]P24(f333(f63(x77261),x77262))+~P24(f333(f63(x77261),f333(f333(f115(f890(x77261,a874)),x77263),x77262)))
% 163.24/162.97 [7727]P24(f333(f63(x77271),x77272))+~P24(f333(f63(x77271),f333(f333(f115(f890(x77271,a874)),x77272),x77273)))
% 163.24/162.97 [7805]~P47(x78051,x78053)+P24(f333(f333(f335(f889(x78051,x78051)),f333(f333(f263(x78051,x78051),x78052),x78052)),x78053))
% 163.24/162.97 [7931]E(f333(f333(f166(a880),f140(a880,f333(f303(a880,x79311),x79312))),x79313),f333(f333(f81(a880),x79311),x79313))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),x79311),x79313)),x79312))
% 163.24/162.97 [7997]~P24(f333(f333(f201(f333(a26,x79971)),x79972),x79973))+P24(f333(f333(f201(f333(f246(a875),f333(a28,x79971))),x79972),x79973))
% 163.24/162.97 [8002]E(f333(f333(f174(a880),x80021),f140(a880,f333(f303(a880,x80022),x80023))),f140(a880,f333(f303(a880,x80022),f333(f333(f81(a880),x80022),x80021))))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x80022),x80021)),x80023))
% 163.24/162.97 [8269]P24(f333(f333(f201(f333(a26,x82691)),x82692),x82693))+~P24(f333(f333(f201(f333(f246(a875),f333(a28,x82691))),x82692),x82693))
% 163.24/162.97 [8325]E(f333(f333(f127(x83251),f333(f333(f174(x83251),x83252),x83253)),f333(f333(f152(x83251),f333(f333(f166(x83251),x83253),x83252)),f333(f333(f139(x83251),f333(a117,x83252)),x83253))),x83253)+~P24(f333(f333(f251(a880),x83252),f333(f195(f881(x83251)),x83253)))
% 163.24/162.97 [8333]P24(f333(f333(f250(f890(x83331,a874)),f321(x83331,x83332)),f321(x83331,x83333)))+~P24(f333(f333(f250(f890(x83331,f890(x83331,a874))),x83333),x83332))
% 163.24/162.97 [8335]~P55(x83351,x83352,x83353)+P55(x83351,x83352,f333(f333(f3(f890(f889(x83351,x83351),a874)),x83353),f309(x83351,f194(f890(f889(x83351,x83351),a874)))))
% 163.24/162.97 [8352]P24(f333(f333(f250(f890(x83521,a874)),f322(x83521,x83522)),f322(x83521,x83523)))+~P24(f333(f333(f250(f890(f889(x83521,x83521),a874)),x83523),x83522))
% 163.24/162.97 [8359]~P125(x83591)+P24(f333(f333(f250(x83591),f2(x83591)),f333(f333(f81(x83591),f333(f333(f82(x83591),x83592),x83592)),f333(f333(f82(x83591),x83593),x83593))))
% 163.24/162.97 [8396]P24(f333(f333(f250(f890(x83961,a874)),f333(f286(x83961),x83962)),f333(f286(x83961),x83963)))+~P24(f333(f333(f250(f890(f889(x83961,x83961),a874)),x83962),x83963))
% 163.24/162.97 [8426]~P51(x84261,x84262)+~P24(f333(f333(f335(f889(x84261,x84261)),f333(f333(f263(x84261,x84261),x84263),x84263)),x84262))
% 163.24/162.97 [8428]~P40(x84281,x84282)+~P24(f333(f333(f335(f889(x84281,x84281)),f333(f333(f263(x84281,x84281),x84283),x84283)),x84282))
% 163.24/162.97 [8490]P24(f333(f333(f250(f890(x84901,a874)),f41(f890(x84901,a874),x84902)),f41(f890(x84901,a874),x84903)))+~P24(f333(f333(f250(f890(f890(x84901,a874),a874)),x84902),x84903))
% 163.24/162.97 [8491]P24(f333(f333(f250(f890(x84911,a874)),f42(f890(x84911,a874),x84912)),f42(f890(x84911,a874),x84913)))+~P24(f333(f333(f250(f890(f890(x84911,a874),a874)),x84913),x84912))
% 163.24/162.97 [8547]~P6(x85471,x85473,x85472)+P24(f333(f333(f250(f890(f889(x85471,x85471),a874)),x85472),f333(f333(f270(x85471,x85471),x85473),f333(f18(f890(x85471,a874),x85471),x85473))))
% 163.24/162.97 [8548]~P50(x85481,x85483,x85482)+P24(f333(f333(f250(f890(f889(x85481,x85481),a874)),x85482),f333(f333(f270(x85481,x85481),x85483),f333(f18(f890(x85481,a874),x85481),x85483))))
% 163.24/162.97 [8593]~P87(x85931)+P24(f333(f333(f250(x85931),f333(f333(f3(x85931),f333(f76(x85931),x85932)),f333(f76(x85931),x85933))),f333(f76(x85931),f333(f333(f3(x85931),x85933),x85932))))
% 163.24/162.97 [8594]~P87(x85941)+P24(f333(f333(f250(x85941),f333(f333(f3(x85941),f333(f76(x85941),x85942)),f333(f76(x85941),x85943))),f333(f76(x85941),f333(f333(f3(x85941),x85942),x85943))))
% 163.24/162.97 [8624]P24(f333(f333(f250(f890(f889(x86241,x86241),a874)),f309(x86241,x86242)),f309(x86241,x86243)))+~P24(f333(f333(f250(f890(f889(x86241,x86241),a874)),x86242),x86243))
% 163.24/162.97 [8770]P55(x87701,x87702,x87703)+~P55(x87701,x87702,f333(f333(f3(f890(f889(x87701,x87701),a874)),x87703),f309(x87701,f194(f890(f889(x87701,x87701),a874)))))
% 163.24/162.97 [8789]P24(f333(f333(f250(f890(f889(f881(x87891),f881(x87891)),a874)),f159(x87891,x87892)),f159(x87891,x87893)))+~P24(f333(f333(f250(f890(f889(x87891,x87891),a874)),x87892),x87893))
% 163.24/162.97 [8790]P24(f333(f333(f250(f890(f889(f881(x87901),f881(x87901)),a874)),f158(x87901,x87902)),f158(x87901,x87903)))+~P24(f333(f333(f250(f890(f889(x87901,x87901),a874)),x87902),x87903))
% 163.24/162.97 [8811]~P50(x88111,x88113,x88112)+P24(f333(f333(f250(f890(f889(x88111,x88111),a874)),x88112),f333(f333(f290(x88111,x88111,x88111),f333(f288(x88111,x88111),x88112)),x88112)))
% 163.24/162.97 [8862]~P24(f333(f138(x88621),x88622))+E(f333(f137(x88621,f333(f333(f9(x88621,f890(x88621,a874),a874),f335(x88621)),f333(f173(x88621),f175(x88621,x88622,x88623)))),x88622),f175(x88621,x88622,x88623))
% 163.24/162.97 [8925]E(x89251,x89252)+~P24(f333(f333(f335(f889(x89253,x89253)),f333(f333(f263(x89253,x89253),x89251),x89252)),f309(x89253,f194(f890(f889(x89253,x89253),a874)))))
% 163.24/162.97 [9009]P24(f333(f333(f335(x90091),x90092),f322(x90091,x90093)))+P24(f333(f333(f335(f889(x90091,x90091)),f333(f333(f263(x90091,x90091),f694(x90093,x90092,x90091)),x90092)),x90093))
% 163.24/162.97 [9010]P24(f333(f333(f335(x90101),x90102),f322(x90101,x90103)))+P24(f333(f333(f335(f889(x90101,x90101)),f333(f333(f263(x90101,x90101),f747(x90103,x90102,x90101)),x90102)),x90103))
% 163.24/162.97 [9011]P24(f333(f333(f335(x90111),x90112),f322(x90111,x90113)))+P24(f333(f333(f335(f889(x90111,x90111)),f333(f333(f263(x90111,x90111),f756(x90113,x90112,x90111)),x90112)),x90113))
% 163.24/162.97 [9083]~P24(f333(f333(f335(f881(x90831)),x90833),f162(x90831,x90832)))+P24(f333(f161(x90831,f333(f333(f9(x90831,f890(x90831,a874),a874),f335(x90831)),x90832)),x90833))
% 163.24/162.97 [9110]P24(f333(x91103,x91102))+E(f333(f255(x91101),f333(f333(f20(x91101,a874,a874),f333(f333(f10(a874,f890(a874,a874),x91101),a331),f333(a330,x91102))),x91103)),f194(f890(x91101,a874)))
% 163.24/162.97 [9134]~P87(x91341)+P24(f333(f333(f250(x91341),f333(f76(x91341),f333(f333(f3(x91341),f333(f76(x91341),x91342)),f333(f76(x91341),x91343)))),f333(f76(x91341),f333(f333(f3(x91341),x91342),x91343))))
% 163.24/162.97 [9150]~P24(f333(x91503,x91502))+E(f333(f255(x91501),f333(f333(f20(x91501,a874,a874),f333(f333(f10(a874,f890(a874,a874),x91501),a331),f333(a330,x91502))),x91503)),f333(f333(f311(x91501),x91502),f194(f890(x91501,a874))))
% 163.24/162.97 [9157]~P24(f333(f333(f335(f890(x91571,a874)),x91573),f333(f310(x91571),x91572)))+P24(f333(f267(x91571,f333(f333(f9(x91571,f890(x91571,a874),a874),f335(x91571)),x91572)),x91573))
% 163.24/162.97 [9190]P40(x91901,x91902)+P24(f333(f333(f335(f889(x91901,x91901)),f333(f333(f263(x91901,x91901),f333(f702(x91902,x91901),f333(a117,x91903))),f333(f702(x91902,x91901),x91903))),x91902))
% 163.24/162.97 [9332]P24(f333(f333(f335(f881(x93321)),x93322),f162(x93321,x93323)))+~P24(f333(f161(x93321,f333(f333(f9(x93321,f890(x93321,a874),a874),f335(x93321)),x93323)),x93322))
% 163.24/162.97 [9345]P24(f333(f333(f335(f890(x93451,a874)),x93452),f333(f310(x93451),x93453)))+~P24(f333(f267(x93451,f333(f333(f9(x93451,f890(x93451,a874),a874),f335(x93451)),x93453)),x93452))
% 163.24/162.97 [9400]P24(f333(f333(f335(x94001),f333(f279(x94001,x94002),x94003)),f333(f173(x94001),f333(f333(f155(f889(a104,x94001),x94001),f271(a104,x94001)),x94002))))+~P24(f333(f333(f251(a104),x94003),f333(f167(a104),f333(f333(f155(f889(a104,x94001),a104),f262(a104,x94001)),x94002))))
% 163.24/162.97 [9446]P24(f333(f333(f250(f890(f889(f881(x94461),f881(x94461)),a874)),f159(x94461,x94462)),f333(f333(f270(f881(x94461),f881(x94461)),f162(x94461,x94463)),f333(f18(f890(f881(x94461),a874),f881(x94461)),f162(x94461,x94463)))))+~P24(f333(f333(f250(f890(f889(x94461,x94461),a874)),x94462),f333(f333(f270(x94461,x94461),x94463),f333(f18(f890(x94461,a874),x94461),x94463))))
% 163.24/162.97 [9467]P24(f333(f333(f335(x94671),f333(f262(x94671,f889(a104,a104)),f333(f277(x94671,x94672),x94673))),f333(f173(x94671),f333(f333(f155(f889(a104,x94671),x94671),f271(a104,x94671)),x94672))))+~P24(f333(f333(f251(a104),f2(a104)),f333(f167(a104),f333(f333(f155(f889(a104,x94671),a104),f262(a104,x94671)),x94672))))
% 163.24/162.97 [9493]~P24(f333(f333(f250(f890(f889(x94931,x94931),a874)),x94932),f333(f333(f270(x94931,x94931),x94933),f333(f18(f890(x94931,a874),x94931),x94933))))+P24(f333(f333(f250(f890(f889(x94931,x94931),a874)),f333(f333(f290(x94931,x94931,x94931),x94932),f309(x94931,x94932))),f333(f333(f270(x94931,x94931),x94933),f333(f18(f890(x94931,a874),x94931),x94933))))
% 163.24/162.97 [9823]~P40(x98231,x98232)+~P24(f333(f333(f335(f889(x98231,x98231)),f333(f333(f263(x98231,x98231),f333(x98233,f333(a117,f703(x98232,x98231,x98233)))),f333(x98233,f703(x98232,x98231,x98233)))),x98232))
% 163.24/162.97 [9824]~P40(x98241,x98242)+~P24(f333(f333(f335(f889(x98241,x98241)),f333(f333(f263(x98241,x98241),f333(x98243,f333(a117,f761(x98243,x98242,x98241)))),f333(x98243,f761(x98243,x98242,x98241)))),x98242))
% 163.24/162.97 [10052]P24(f333(f333(f250(f890(f889(f890(x100521,a874),f890(x100521,a874)),a874)),f333(f333(f290(f890(x100521,a874),f890(x100521,a874),f890(x100521,a874)),f324(x100521,x100522)),f333(f333(f115(f890(f889(f890(x100521,a874),f890(x100521,a874)),a874)),f324(x100521,x100523)),f333(f333(f311(f889(f890(x100521,a874),f890(x100521,a874))),f333(f333(f263(f890(x100521,a874),f890(x100521,a874)),f194(f890(x100521,a874))),f194(f890(x100521,a874)))),f194(f890(f889(f890(x100521,a874),f890(x100521,a874)),a874)))))),f324(x100521,x100522)))+~P24(f333(f333(f250(f890(f889(x100521,x100521),a874)),f333(f333(f290(x100521,x100521,x100521),x100522),x100523)),x100522))
% 163.24/162.97 [10053]P24(f333(f333(f250(f890(f889(f890(x100531,a874),f890(x100531,a874)),a874)),f333(f333(f290(f890(x100531,a874),f890(x100531,a874),f890(x100531,a874)),f325(x100531,x100532)),f333(f333(f115(f890(f889(f890(x100531,a874),f890(x100531,a874)),a874)),f325(x100531,x100533)),f333(f333(f311(f889(f890(x100531,a874),f890(x100531,a874))),f333(f333(f263(f890(x100531,a874),f890(x100531,a874)),f194(f890(x100531,a874))),f194(f890(x100531,a874)))),f194(f890(f889(f890(x100531,a874),f890(x100531,a874)),a874)))))),f325(x100531,x100532)))+~P24(f333(f333(f250(f890(f889(x100531,x100531),a874)),f333(f333(f290(x100531,x100531,x100531),x100532),x100533)),x100532))
% 163.24/162.97 [7253]~P24(f333(f333(f250(a880),x72532),x72531))+E(f333(f333(f3(a880),f333(a117,f333(f333(f3(a880),x72531),x72532))),x72533),f333(f333(f3(a880),f333(a117,x72531)),f333(f333(f81(a880),x72532),x72533)))
% 163.24/162.97 [7287]~P60(x72871)+E(f333(f333(f81(x72871),f46(x72871,x72872,x72873)),f333(f333(f82(x72871),f333(f333(f40(x72871),x72872),x72873)),x72873)),x72872)
% 163.24/162.97 [7485]E(f333(f333(f82(a880),f333(f108(a880),x74851)),f333(f333(f82(a880),f333(f108(a880),x74852)),x74853)),f333(f333(f82(a880),f333(f108(a880),f333(f333(f82(a1),x74851),x74852))),x74853))+P24(f333(f333(f251(a1),x74851),a84))
% 163.24/162.97 [7940]~P24(f333(f333(f250(a880),x79403),x79402))+P24(f333(f333(f250(a880),x79401),f333(f333(f3(a880),f333(f333(f81(a880),x79402),x79401)),x79403)))
% 163.24/162.97 [8151]~P24(f333(f333(f250(a880),x81511),x81512))+E(f333(f333(f127(a880),f140(a880,f333(f303(a880,x81511),x81512))),f140(a880,f333(f303(a880,x81512),f333(f333(f81(a880),x81512),x81513)))),f140(a880,f333(f303(a880,x81511),f333(f333(f81(a880),x81512),x81513))))
% 163.24/162.97 [8400]~P24(f333(f63(x84001),x84002))+E(f333(a117,f333(f39(x84001),f333(f333(f3(f890(x84001,a874)),x84002),f333(f333(f311(x84001),x84003),f194(f890(x84001,a874)))))),f333(f39(x84001),f333(f333(f311(x84001),x84003),x84002)))
% 163.24/162.97 [8452]~P24(f333(f63(x84521),x84522))+E(f333(f333(f81(a880),f79(a880)),f333(f39(x84521),f333(f333(f3(f890(x84521,a874)),x84522),f333(f333(f311(x84521),x84523),f194(f890(x84521,a874)))))),f333(f39(x84521),f333(f333(f311(x84521),x84523),x84522)))
% 163.24/162.97 [8633]E(f333(f333(f3(a880),f333(f39(x86331),x86332)),f333(f39(x86331),f333(f333(f106(f890(x86331,a874)),x86332),x86333))),f333(f39(x86331),f333(f333(f3(f890(x86331,a874)),x86332),x86333)))+~P24(f333(f63(x86331),f333(f333(f106(f890(x86331,a874)),x86332),x86333)))
% 163.24/162.97 [8857]~P30(f333(x88572,f511(x88572,x88573,x88571)))+E(f333(f105(a1),f333(f333(f8(x88571,a880),f333(f333(f10(a1,a880,x88571),a109),x88572)),x88573)),f333(f333(f8(x88571,a1),x88572),x88573))
% 163.24/162.97 [8858]~P30(f333(x88582,f512(x88582,x88583,x88581)))+E(f333(f105(a1),f333(f333(f11(x88581,a880),f333(f333(f10(a1,a880,x88581),a109),x88582)),x88583)),f333(f333(f11(x88581,a1),x88582),x88583))
% 163.24/162.97 [8907]~P24(f333(f63(x89071),x89073))+P24(f333(f333(f250(a880),f333(f333(f3(a880),f333(f39(x89071),x89072)),f333(f39(x89071),x89073))),f333(f39(x89071),f333(f333(f3(f890(x89071,a874)),x89072),x89073))))
% 163.24/162.97 [8933]P24(f333(f333(f335(x89331),f511(x89332,x89333,x89331)),x89333))+E(f333(f105(a1),f333(f333(f8(x89331,a880),f333(f333(f10(a1,a880,x89331),a109),x89332)),x89333)),f333(f333(f8(x89331,a1),x89332),x89333))
% 163.24/162.97 [8934]P24(f333(f333(f335(x89341),f512(x89342,x89343,x89341)),x89343))+E(f333(f105(a1),f333(f333(f11(x89341,a880),f333(f333(f10(a1,a880,x89341),a109),x89342)),x89343)),f333(f333(f11(x89341,a1),x89342),x89343))
% 163.24/162.97 [9001]E(f86(x90011,f333(f333(f9(x90011,f890(x90011,a874),a874),f335(x90011)),f333(f333(f3(f890(x90011,a874)),x90012),f333(f333(f311(x90011),x90013),f194(f890(x90011,a874)))))),f266(x90011,x90013,x90012))+P24(f333(f333(f250(f890(x90011,a874)),x90012),f333(f333(f311(x90011),x90013),f194(f890(x90011,a874)))))
% 163.24/162.97 [9346]E(f333(f333(f155(f881(x93461),x93461),f333(f333(f9(f881(x93461),a880,x93461),f166(x93461)),x93462)),f333(f137(f881(x93461),f333(f333(f10(a880,a874,f881(x93461)),f333(f251(a880),x93462)),f195(f881(x93461)))),x93463)),f333(f333(f166(f881(x93461)),f180(x93461,x93463)),x93462))+~P24(f333(f333(f251(a880),x93462),f333(f195(f881(f881(x93461))),f180(x93461,x93463))))
% 163.24/162.97 [9415]E(f333(f137(x94151,x94152),x94153),f177(x94151,x94152,x94153))+P24(f333(f333(f335(x94151),f672(x94153,x94152,x94151)),f333(f173(x94151),f333(f333(f139(x94151),f333(f195(f881(x94151)),f177(x94151,x94152,x94153))),x94153))))
% 163.24/162.97 [9568]E(f333(f333(f139(x95681),f333(f195(f881(x95681)),f177(x95681,x95682,x95683))),x95683),f118(x95681))+~P24(f333(x95682,f333(f142(x95681),f333(f333(f139(x95681),f333(f195(f881(x95681)),f177(x95681,x95682,x95683))),x95683))))
% 163.24/162.97 [9673]~P24(f333(f333(f335(f889(x96731,x96731)),x96732),f309(x96731,x96733)))+P24(f333(f333(f335(f889(x96731,x96731)),x96732),f333(f333(f44(a880,f890(f889(x96731,x96731),a874)),f258(f890(a880,a874))),f333(f333(f9(a880,f890(f889(x96731,x96731),a874),f890(f889(x96731,x96731),a874)),f189(f889(x96731,x96731),a874)),x96733))))
% 163.24/162.97 [9730]~P24(f333(f333(f250(f890(x97301,a874)),f333(f333(f44(a880,f890(x97301,a874)),f333(f303(a880,f2(a880)),f550(x97303,x97302,x97301))),x97302)),x97303))+P24(f333(f333(f250(f890(x97301,a874)),f333(f333(f44(a880,f890(x97301,a874)),f258(f890(a880,a874))),x97302)),x97303))
% 163.24/162.97 [9802]~P24(f333(f333(f251(a1),f2(a1)),x98023))+P24(f333(f333(f251(a1),x98021),f333(f333(f81(a1),x98022),f333(f333(f82(a1),f333(f333(f81(a1),f333(f76(a1),f333(f333(f3(a1),x98022),x98021))),f79(a1))),x98023))))
% 163.24/162.97 [9810]~P40(x98101,f333(f333(f115(f890(f889(x98101,x98101),a874)),x98102),x98103))+P40(x98101,f333(f333(f115(f890(f889(x98101,x98101),a874)),f333(f333(f115(f890(f889(x98101,x98101),a874)),f333(f333(f290(x98101,x98101,x98101),x98102),x98102)),f333(f333(f290(x98101,x98101,x98101),x98103),x98102))),x98103))
% 163.24/162.97 [9886]P40(x98861,f333(f333(f115(f890(f889(x98861,x98861),a874)),x98862),x98863))+~P40(x98861,f333(f333(f115(f890(f889(x98861,x98861),a874)),f333(f333(f115(f890(f889(x98861,x98861),a874)),f333(f333(f290(x98861,x98861,x98861),x98862),x98862)),f333(f333(f290(x98861,x98861,x98861),x98863),x98862))),x98863))
% 163.24/162.97 [9421]~P140(x94211)+E(f333(f107(x94211),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x94212),x94213)),f194(f890(f889(a880,a880),a874)))))),f333(f333(f3(x94211),f333(f105(x94211),x94212)),f333(f105(x94211),x94213)))
% 163.24/162.97 [9517]P24(f333(x95173,x95172))+E(f333(f255(x95171),f333(f333(f20(x95171,a874,a874),f333(f333(f10(a874,f890(a874,a874),x95171),a331),f333(f333(f9(x95171,x95171,a874),a330),x95172))),x95173)),f194(f890(x95171,a874)))
% 163.24/162.97 [9519]~P24(f333(x95193,x95192))+E(f333(f255(x95191),f333(f333(f20(x95191,a874,a874),f333(f333(f10(a874,f890(a874,a874),x95191),a331),f333(f333(f9(x95191,x95191,a874),a330),x95192))),x95193)),f333(f333(f311(x95191),x95192),f194(f890(x95191,a874))))
% 163.24/162.97 [9878]~P24(f333(f63(x98781),x98783))+E(f333(f333(f66(x98781,f890(x98781,a874),f333(f333(f10(f890(x98781,a874),f890(f890(x98781,a874),f890(x98781,a874)),x98781),f333(f9(f890(x98781,a874),f890(x98781,a874),f890(x98781,a874)),f3(f890(x98781,a874)))),f333(f333(f9(x98781,f890(x98781,a874),f890(x98781,a874)),f311(x98781)),f194(f890(x98781,a874))))),x98782),x98783),f333(f333(f3(f890(x98781,a874)),x98782),x98783))
% 163.24/162.97 [9909]~P24(f333(f333(f251(a1),f2(a1)),x99093))+P24(f333(f333(f251(a1),f333(f333(f3(a1),x99091),f333(f333(f82(a1),f333(f333(f81(a1),f333(f76(a1),f333(f333(f3(a1),x99091),x99092))),f79(a1))),x99093))),x99092))
% 163.24/162.97 [10144]~P24(f333(f333(f335(x101441),x101443),f322(x101441,x101442)))+P24(f333(f321(x101441,f333(f333(f9(x101441,f890(f889(x101441,x101441),a874),f890(x101441,a874)),f333(f333(f10(f890(x101441,f890(f890(f889(x101441,x101441),a874),a874)),f890(f890(f889(x101441,x101441),a874),f890(x101441,a874)),x101441),f9(x101441,f890(f889(x101441,x101441),a874),a874)),f333(f333(f10(f890(x101441,f889(x101441,x101441)),f890(x101441,f890(f890(f889(x101441,x101441),a874),a874)),x101441),f333(f10(f889(x101441,x101441),f890(f890(f889(x101441,x101441),a874),a874),x101441),f335(f889(x101441,x101441)))),f263(x101441,x101441)))),x101442)),x101443))
% 163.24/162.97 [10157]P24(f333(f333(f335(x101571),x101572),f322(x101571,x101573)))+~P24(f333(f321(x101571,f333(f333(f9(x101571,f890(f889(x101571,x101571),a874),f890(x101571,a874)),f333(f333(f10(f890(x101571,f890(f890(f889(x101571,x101571),a874),a874)),f890(f890(f889(x101571,x101571),a874),f890(x101571,a874)),x101571),f9(x101571,f890(f889(x101571,x101571),a874),a874)),f333(f333(f10(f890(x101571,f889(x101571,x101571)),f890(x101571,f890(f890(f889(x101571,x101571),a874),a874)),x101571),f333(f10(f889(x101571,x101571),f890(f890(f889(x101571,x101571),a874),a874),x101571),f335(f889(x101571,x101571)))),f263(x101571,x101571)))),x101573)),x101572))
% 163.24/162.97 [9728]~P24(f333(f63(x97281),f333(f255(x97281),x97283)))+P24(f333(f63(x97281),f333(f255(x97281),f333(f333(f20(x97281,a874,a874),f333(f333(f10(a874,f890(a874,a874),x97281),a331),x97282)),x97283))))
% 163.24/162.97 [9729]~P24(f333(f63(x97291),f333(f255(x97291),x97292)))+P24(f333(f63(x97291),f333(f255(x97291),f333(f333(f20(x97291,a874,a874),f333(f333(f10(a874,f890(a874,a874),x97291),a331),x97292)),x97293))))
% 163.24/162.97 [9841]P24(f333(f63(x98411),f333(f255(x98411),x98412)))+~P24(f333(f63(x98411),f333(f255(x98411),f333(f333(f20(x98411,a874,a874),f333(f333(f10(a874,f890(a874,a874),x98411),a332),x98413)),x98412))))
% 163.24/162.97 [9842]P24(f333(f63(x98421),f333(f255(x98421),x98422)))+~P24(f333(f63(x98421),f333(f255(x98421),f333(f333(f20(x98421,a874,a874),f333(f333(f10(a874,f890(a874,a874),x98421),a332),x98422)),x98423))))
% 163.24/162.97 [10108]~P24(f333(f63(x101081),x101082))+P24(f333(f63(f881(x101081)),f333(f255(f881(x101081)),f333(f333(f20(f881(x101081),a874,a874),f333(f333(f10(a874,f890(a874,a874),f881(x101081)),a331),f333(f333(f9(f881(x101081),f890(x101081,a874),a874),f333(f333(f10(f890(x101081,a874),f890(f890(x101081,a874),a874),f881(x101081)),f250(f890(x101081,a874))),f173(x101081))),x101082))),f333(f333(f9(f881(x101081),a880,a874),f333(f333(f10(a880,f890(a880,a874),f881(x101081)),a330),f195(f881(x101081)))),x101083)))))
% 163.24/162.97 [10109]~P24(f333(f63(x101091),x101092))+P24(f333(f63(f881(x101091)),f333(f255(f881(x101091)),f333(f333(f20(f881(x101091),a874,a874),f333(f333(f10(a874,f890(a874,a874),f881(x101091)),a331),f333(f333(f9(f881(x101091),f890(x101091,a874),a874),f333(f333(f10(f890(x101091,a874),f890(f890(x101091,a874),a874),f881(x101091)),f250(f890(x101091,a874))),f173(x101091))),x101092))),f333(f333(f9(f881(x101091),a880,a874),f333(f333(f10(a880,f890(a880,a874),f881(x101091)),f250(a880)),f195(f881(x101091)))),x101093)))))
% 163.24/162.97 [9387]~P94(x93871)+E(f333(f333(f264(x93871),x93872),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x93873)),x93873)),a102))),f333(f333(f89(x93871,x93871),f333(f333(f264(x93871),x93872),f333(f108(a880),x93873))),f333(f333(f20(x93871,x93871,x93871),f82(x93871)),f7(x93871))))
% 163.24/162.97 [10077]~P115(x100771)+E(f333(f333(f264(x100771),x100772),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x100773)),f333(f333(f82(x100771),f333(f333(f264(x100771),x100772),x100773)),f333(f333(f264(x100771),x100772),x100773)))
% 163.24/162.97 [10089]~P83(x100891)+E(f333(f333(f264(x100891),f333(f333(f264(x100891),x100892),x100893)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f264(x100891),x100892),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x100893)))
% 163.24/162.97 [10123]~P140(x101231)+E(f333(f333(f264(x101231),f333(f80(x101231),x101232)),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101233)),f333(f333(f264(x101231),x101232),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101233)))
% 163.24/162.97 [10181]~P120(x101811)+P24(f333(f333(f250(x101811),f2(x101811)),f333(f333(f81(x101811),f333(f333(f264(x101811),x101812),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101811),x101813),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))))
% 163.24/162.97 [10131]~P115(x101311)+E(f333(f333(f264(x101311),x101312),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101313))),f333(f333(f82(x101311),x101312),f333(f333(f82(x101311),f333(f333(f264(x101311),x101312),x101313)),f333(f333(f264(x101311),x101312),x101313))))
% 163.24/162.97 [10150]~P83(x101501)+E(f333(f333(f82(x101501),x101502),f333(f333(f264(x101501),f333(f333(f264(x101501),x101502),x101503)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101501),x101502),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101503))))
% 163.24/162.97 [10163]~P120(x101631)+P24(f333(f333(f250(x101631),f2(x101631)),f333(f333(f264(x101631),x101632),f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101633))))
% 163.24/162.97 [10200]~P94(x102001)+E(f333(f333(f3(x102001),f333(f333(f81(x102001),f333(f333(f264(x102001),x102002),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102001),x102003),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f333(f333(f82(x102001),f333(f333(f82(x102001),f333(f108(x102001),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x102002)),x102003)),f333(f333(f264(x102001),f333(f333(f3(x102001),x102002),x102003)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.24/162.97 [10201]~P94(x102011)+E(f333(f333(f81(x102011),f333(f333(f81(x102011),f333(f333(f264(x102011),x102012),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102011),x102013),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f333(f333(f82(x102011),f333(f333(f82(x102011),f333(f108(x102011),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x102012)),x102013)),f333(f333(f264(x102011),f333(f333(f81(x102011),x102012),x102013)),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.24/162.97 [10228]~P32(x102281,x102282,x102283)+P24(f99(x102281,a874,f333(f333(f10(f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,a874))),f890(a875,f890(f890(x102281,f890(a876,a874)),a874)),f890(x102281,f890(a876,a874))),f333(f10(f890(f890(x102281,f890(a876,a874)),f890(x102281,a874)),f890(f890(x102281,f890(a876,a874)),a874),a875),f333(f10(f890(x102281,a874),a874,f890(x102281,f890(a876,a874))),f88(x102281)))),f333(f333(f10(f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,a874))),f890(x102281,f890(a876,a874))),f333(f10(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,a874)),a875),f333(f10(f890(x102281,f890(a876,a874)),f890(x102281,a874),f890(x102281,f890(a876,a874))),f333(f10(f890(a876,a874),a874,x102281),f88(a876))))),f333(f333(f9(f890(x102281,f890(a876,a874)),f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))))),f333(f333(f10(f890(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f890(f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f890(a875,f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))))),f890(x102281,f890(a876,a874))),f10(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),a875)),f333(f333(f10(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f890(x102281,f890(a876,a874))),f10(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874)))),f333(f333(f10(f890(x102281,f890(f890(a876,a874),f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f890(x102281,f890(a876,a874))),f20(x102281,f890(a876,a874),f890(a876,a874))),f333(f333(f10(f890(x102281,f890(a876,f890(a874,a874))),f890(x102281,f890(f890(a876,a874),f890(a876,a874))),f890(x102281,f890(a876,a874))),f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),x102281),f20(a876,a874,a874))),f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),x102281),f333(f10(a874,f890(a874,a874),a876),a336))))))),f333(f333(f10(f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,f890(a876,a874)))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),a875),f333(f10(f890(x102281,f890(a876,f890(a876,a874))),f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,a874))),f333(f10(f890(a876,f890(a876,a874)),f890(a876,a874),x102281),f333(f10(f890(a876,a874),a874,a876),f88(a876))))),f333(f333(f10(f890(f890(a876,a874),f890(a876,f890(a876,a874))),f890(f890(x102281,f890(a876,a874)),f890(x102281,f890(a876,f890(a876,a874)))),a875),f10(f890(a876,a874),f890(a876,f890(a876,a874)),x102281)),f333(f333(f10(f890(a876,f890(f890(a876,a874),f890(a876,a874))),f890(f890(a876,a874),f890(a876,f890(a876,a874))),a875),f9(a876,f890(a876,a874),f890(a876,a874))),f333(f333(f10(f890(a876,f890(a876,f890(a874,a874))),f890(a876,f890(f890(a876,a874),f890(a876,a874))),a875),f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),a876),f20(a876,a874,a874))),f333(f333(f10(f890(a876,f890(a876,a874)),f890(a876,f890(a876,f890(a874,a874))),a875),f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),a876),f333(f10(a874,f890(a874,a874),a876),a336))),f333(f333(f9(a875,a880,f890(a876,f890(a876,a874))),f333(f333(f10(f890(a876,f890(a880,f890(a876,a874))),f890(a880,f890(a876,f890(a876,a874))),a875),f9(a876,a880,f890(a876,a874))),a203)),x102282))))))))),x102283))
% 163.24/162.97 [10230]P32(x102301,x102302,x102303)+~P24(f99(x102301,a874,f333(f333(f10(f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,a874))),f890(a875,f890(f890(x102301,f890(a876,a874)),a874)),f890(x102301,f890(a876,a874))),f333(f10(f890(f890(x102301,f890(a876,a874)),f890(x102301,a874)),f890(f890(x102301,f890(a876,a874)),a874),a875),f333(f10(f890(x102301,a874),a874,f890(x102301,f890(a876,a874))),f88(x102301)))),f333(f333(f10(f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,a874))),f890(x102301,f890(a876,a874))),f333(f10(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,a874)),a875),f333(f10(f890(x102301,f890(a876,a874)),f890(x102301,a874),f890(x102301,f890(a876,a874))),f333(f10(f890(a876,a874),a874,x102301),f88(a876))))),f333(f333(f9(f890(x102301,f890(a876,a874)),f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))))),f333(f333(f10(f890(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f890(f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f890(a875,f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))))),f890(x102301,f890(a876,a874))),f10(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),a875)),f333(f333(f10(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f890(x102301,f890(a876,a874))),f10(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874)))),f333(f333(f10(f890(x102301,f890(f890(a876,a874),f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f890(x102301,f890(a876,a874))),f20(x102301,f890(a876,a874),f890(a876,a874))),f333(f333(f10(f890(x102301,f890(a876,f890(a874,a874))),f890(x102301,f890(f890(a876,a874),f890(a876,a874))),f890(x102301,f890(a876,a874))),f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),x102301),f20(a876,a874,a874))),f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),x102301),f333(f10(a874,f890(a874,a874),a876),a336))))))),f333(f333(f10(f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,f890(a876,a874)))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),a875),f333(f10(f890(x102301,f890(a876,f890(a876,a874))),f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,a874))),f333(f10(f890(a876,f890(a876,a874)),f890(a876,a874),x102301),f333(f10(f890(a876,a874),a874,a876),f88(a876))))),f333(f333(f10(f890(f890(a876,a874),f890(a876,f890(a876,a874))),f890(f890(x102301,f890(a876,a874)),f890(x102301,f890(a876,f890(a876,a874)))),a875),f10(f890(a876,a874),f890(a876,f890(a876,a874)),x102301)),f333(f333(f10(f890(a876,f890(f890(a876,a874),f890(a876,a874))),f890(f890(a876,a874),f890(a876,f890(a876,a874))),a875),f9(a876,f890(a876,a874),f890(a876,a874))),f333(f333(f10(f890(a876,f890(a876,f890(a874,a874))),f890(a876,f890(f890(a876,a874),f890(a876,a874))),a875),f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),a876),f20(a876,a874,a874))),f333(f333(f10(f890(a876,f890(a876,a874)),f890(a876,f890(a876,f890(a874,a874))),a875),f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),a876),f333(f10(a874,f890(a874,a874),a876),a336))),f333(f333(f9(a875,a880,f890(a876,f890(a876,a874))),f333(f333(f10(f890(a876,f890(a880,f890(a876,a874))),f890(a880,f890(a876,f890(a876,a874))),a875),f9(a876,a880,f890(a876,a874))),a203)),x102302))))))))),x102303))
% 163.24/162.97 [4708]E(x47081,x47082)+~E(f34(x47083,x47081),f34(x47084,x47082))
% 163.24/162.97 [4709]E(x47091,x47092)+~E(f34(x47091,x47093),f34(x47092,x47094))
% 163.24/162.97 [4710]E(x47101,x47102)+~E(f33(x47103,x47101),f33(x47104,x47102))
% 163.24/162.97 [4711]E(x47111,x47112)+~E(f33(x47111,x47113),f33(x47112,x47114))
% 163.24/162.97 [7746]P21(x77461,x77462,x77463,x77464)+~E(f834(x77464,x77463,x77462,x77461),f835(x77464,x77463,x77462,x77461))
% 163.24/162.97 [8034]P37(x80341,x80342,x80343,x80344,f118(x80342))+~E(x80344,f118(x80341))
% 163.24/162.97 [8035]P37(x80351,x80352,x80353,f118(x80351),x80354)+~E(x80354,f118(x80352))
% 163.24/162.97 [8254]~P21(x82541,f884(x82542),x82544,f184(x82541,x82542,x82544))+P21(x82541,f884(x82542),f185(x82541,x82542,x82543,x82544),f184(x82541,x82542,x82544))
% 163.24/162.97 [8466]~P21(x84661,f884(x84662),f185(x84661,x84662,x84664,x84663),f184(x84661,x84662,x84663))+P21(x84661,f884(x84662),x84663,f184(x84661,x84662,x84663))
% 163.24/162.97 [8583]~P37(x85832,x85833,x85834,x85831,f118(x85833))+E(x85831,f118(x85832))
% 163.24/162.97 [8584]~P37(x85843,x85842,x85844,f118(x85843),x85841)+E(x85841,f118(x85842))
% 163.24/162.97 [5078]~P13(x50783,x50781,x50784)+E(f333(f333(x50781,x50782),x50782),x50782)
% 163.24/162.97 [5369]~E(x53694,f194(f890(x53691,a874)))+E(f333(f312(x53691,x53692,x53693),x53694),f194(f890(x53692,a874)))
% 163.24/162.97 [5635]~E(f333(f312(x56352,x56353,x56354),x56351),f194(f890(x56353,a874)))+E(x56351,f194(f890(x56352,a874)))
% 163.24/162.97 [5918]~P109(x59182)+E(f333(f333(f149(x59181,x59182,x59183),x59184),f118(x59181)),f333(f333(f152(x59181),x59184),f118(x59181)))
% 163.24/162.97 [5955]E(f333(x59551,x59552),f197(x59553))+P24(f333(f333(f335(x59554),x59552),f184(x59554,x59553,x59551)))
% 163.24/162.97 [6275]~E(x62751,f194(f890(x62752,a874)))+~P24(f333(f64(x62752,x62753,x62751),x62754))
% 163.24/162.97 [6297]~P58(x62971,x62973,x62974,x62972)+P24(f333(f63(x62971),x62972))
% 163.24/162.97 [6298]~P58(x62981,x62983,x62982,x62984)+P24(f333(f63(x62981),x62982))
% 163.24/162.97 [6303]~P58(x63032,x63033,x63034,x63031)+~E(x63031,f194(f890(x63032,a874)))
% 163.24/162.97 [6334]~P110(x63341)+E(f333(f333(f106(f890(x63341,a874)),f333(f303(x63341,x63342),x63343)),f304(x63341,x63343,x63344)),f194(f890(x63341,a874)))
% 163.24/162.97 [6359]~P24(f333(f333(x63593,x63594),x63592))+P24(f333(f333(f335(x63591),x63592),f294(x63591,x63593,x63594)))
% 163.24/162.97 [6360]~P24(f333(f333(x63603,x63604),x63602))+P24(f333(f333(f335(x63601),x63602),f295(x63601,x63603,x63604)))
% 163.24/162.97 [6361]~P24(f333(f333(x63613,x63612),x63614))+P24(f333(f333(f335(x63611),x63612),f296(x63611,x63613,x63614)))
% 163.24/162.97 [6362]~P24(f333(f333(x63623,x63622),x63624))+P24(f333(f333(f335(x63621),x63622),f299(x63621,x63623,x63624)))
% 163.24/162.97 [6502]~P110(x65021)+E(f333(f333(f106(f890(x65021,a874)),f307(x65021,x65022,x65023)),f304(x65021,x65023,x65024)),f194(f890(x65021,a874)))
% 163.24/162.97 [6503]~P110(x65031)+E(f333(f333(f106(f890(x65031,a874)),f306(x65031,x65032,x65033)),f307(x65031,x65033,x65034)),f194(f890(x65031,a874)))
% 163.24/162.97 [6504]~P110(x65041)+E(f333(f333(f106(f890(x65041,a874)),f306(x65041,x65042,x65043)),f306(x65041,x65043,x65044)),f194(f890(x65041,a874)))
% 163.24/162.97 [6505]~P110(x65051)+E(f333(f333(f106(f890(x65051,a874)),f304(x65051,x65052,x65053)),f307(x65051,x65053,x65054)),f194(f890(x65051,a874)))
% 163.24/162.97 [6506]~P110(x65061)+E(f333(f333(f106(f890(x65061,a874)),f304(x65061,x65062,x65063)),f306(x65061,x65063,x65064)),f194(f890(x65061,a874)))
% 163.24/162.97 [6540]P24(f333(f333(x65401,x65402),f699(x65402,x65401)))+~P24(f333(f268(x65403,x65404,x65401),x65402))
% 163.24/162.97 [6589]~E(f333(x65891,x65892),f197(x65893))+~P24(f333(f333(f335(x65894),x65892),f184(x65894,x65893,x65891)))
% 163.24/162.97 [6618]~P109(x66182)+E(f333(f173(x66181),f151(x66181,x66182,x66183,x66184)),f333(f173(x66181),x66184))
% 163.24/162.97 [6670]~P143(x66701)+E(f196(x66701,x66702,f333(a117,x66703),x66704),f196(x66701,x66702,x66703,f333(x66702,x66704)))
% 163.24/162.97 [6730]~P24(f333(f333(f335(x67304),x67303),f294(x67304,x67301,x67302)))+P24(f333(f333(x67301,x67302),x67303))
% 163.24/162.97 [6731]~P24(f333(f333(f335(x67314),x67313),f295(x67314,x67311,x67312)))+P24(f333(f333(x67311,x67312),x67313))
% 163.24/162.97 [6732]~P24(f333(f333(f335(x67324),x67322),f296(x67324,x67321,x67323)))+P24(f333(f333(x67321,x67322),x67323))
% 163.24/162.97 [6733]~P24(f333(f333(f335(x67334),x67332),f299(x67334,x67331,x67333)))+P24(f333(f333(x67331,x67332),x67333))
% 163.24/162.97 [6804]E(f333(f39(f888(x68041,x68042)),f320(x68041,x68042,x68043,x68044)),f2(a880))+P24(f333(f63(x68042),x68044))
% 163.24/162.97 [6805]E(f333(f39(f888(x68051,x68052)),f320(x68051,x68052,x68053,x68054)),f2(a880))+P24(f333(f63(x68051),x68053))
% 163.24/162.97 [6898]E(f333(f242(x68981),f375(x68982,x68981,x68983)),f333(x68982,x68983))+~P24(f333(f333(f335(x68984),x68983),f184(x68984,x68981,x68982)))
% 163.24/162.97 [7003]~P11(x70034,x70031,x70032)+E(f333(f74(x70031,x70031,x70031,f333(x70032,x70033)),f333(x70032,x70033)),f333(x70032,x70033))
% 163.24/162.97 [7785]~P24(f333(x77851,x77854))+P24(f333(x77851,f97(x77852,a880,x77853,x77851)))
% 163.24/162.97 [7865]~E(x78652,x78653)+P24(f333(f333(f335(f889(x78651,x78651)),f333(f333(f263(x78651,x78651),x78652),x78653)),f309(x78651,x78654)))
% 163.24/162.97 [7894]~P21(x78941,x78942,x78943,f258(f890(x78941,a874)))+E(f333(f78(x78941,x78942,f258(f890(x78941,a874)),x78943),f333(x78943,x78944)),x78944)
% 163.24/162.97 [7980]~P24(f333(f333(f335(f881(x79801)),f333(f333(f152(x79801),x79804),x79802)),f162(x79801,x79803)))+P24(f333(f333(f335(f881(x79801)),x79802),f162(x79801,x79803)))
% 163.24/162.97 [7981]~P24(f333(f333(f335(f881(x79811)),f333(f333(f127(x79811),x79814),x79812)),f162(x79811,x79813)))+P24(f333(f333(f335(f881(x79811)),x79812),f162(x79811,x79813)))
% 163.24/162.97 [7982]~P24(f333(f333(f335(f881(x79821)),f333(f333(f127(x79821),x79822),x79824)),f162(x79821,x79823)))+P24(f333(f333(f335(f881(x79821)),x79822),f162(x79821,x79823)))
% 163.24/162.97 [7998]~P109(x79981)+P31(x79981,f333(f333(f155(x79982,x79981),x79983),f151(x79982,x79981,x79983,x79984)))
% 163.24/162.97 [8101]P21(x81014,x81013,x81011,x81012)+E(f333(x81011,f834(x81012,x81011,x81013,x81014)),f333(x81011,f835(x81012,x81011,x81013,x81014)))
% 163.24/162.97 [8115]E(f185(x81151,x81152,x81153,x81154),f185(x81151,x81152,x81154,x81153))+~E(f333(f333(f106(f890(x81151,a874)),f184(x81151,x81152,x81153)),f184(x81151,x81152,x81154)),f194(f890(x81151,a874)))
% 163.24/162.97 [8218]~P21(x82182,x82181,x82184,x82183)+P21(x82181,x82182,f78(x82182,x82181,x82183,x82184),f333(f312(x82182,x82181,x82184),x82183))
% 163.24/162.97 [8350]P40(f889(x83502,x83504),f285(x83502,x83504,x83501,x83503))+P24(f333(x83501,f706(x83502,x83503,x83504,x83501)))
% 163.24/162.97 [8473]E(x84731,x84732)+~P24(f333(f333(f335(f889(x84733,x84733)),f333(f333(f263(x84733,x84733),x84731),x84732)),f260(x84733,x84734)))
% 163.24/162.97 [8539]~P24(f333(f63(f888(x85393,x85391)),f320(x85393,x85391,x85394,x85392)))+P24(f333(f63(x85391),x85392))
% 163.24/162.97 [8540]~P24(f333(f63(f888(x85401,x85403)),f320(x85401,x85403,x85402,x85404)))+P24(f333(f63(x85401),x85402))
% 163.24/162.97 [8706]P40(f889(x87061,x87062),f285(x87061,x87062,x87063,x87064))+~P40(x87062,f333(x87064,f706(x87061,x87064,x87062,x87063)))
% 163.24/162.97 [9265]E(f333(f333(f160(x92651,x92652),f609(x92653,x92654,x92652,x92651)),f610(x92653,x92654,x92652,x92651)),x92654)+~P24(f333(f333(f335(f889(f881(x92651),f881(x92651))),f333(f333(f263(f881(x92651),f881(x92651)),x92652),x92654)),f158(x92651,x92653)))
% 163.24/162.97 [9266]~P24(f333(x92663,x92664))+P24(f333(f333(f250(a880),f333(x92661,f97(x92662,a880,x92661,x92663))),f333(x92661,x92664)))
% 163.24/162.97 [9275]~P24(f333(f333(f335(f889(f881(x92751),f881(x92751))),f333(f333(f263(f881(x92751),f881(x92751)),x92752),x92753)),f146(x92751,x92754)))+P24(f333(f333(f335(f889(f881(x92751),f881(x92751))),f333(f333(f263(f881(x92751),f881(x92751)),x92752),x92753)),f148(x92751,x92754)))
% 163.24/162.97 [9384]P24(f333(f63(x93841),x93842))+~P24(f333(f333(f335(f889(f890(x93841,a874),f890(x93841,a874))),f333(f333(f263(f890(x93841,a874),f890(x93841,a874)),x93843),x93842)),f325(x93841,x93844)))
% 163.24/162.97 [9385]P24(f333(f63(x93851),x93852))+~P24(f333(f333(f335(f889(f890(x93851,a874),f890(x93851,a874))),f333(f333(f263(f890(x93851,a874),f890(x93851,a874)),x93852),x93853)),f325(x93851,x93854)))
% 163.24/162.97 [9386]~E(x93861,f194(f890(x93862,a874)))+~P24(f333(f333(f335(f889(f890(x93862,a874),f890(x93862,a874))),f333(f333(f263(f890(x93862,a874),f890(x93862,a874)),x93863),x93861)),f325(x93862,x93864)))
% 163.24/162.97 [10033]P9(x100331,x100332,x100333,x100334)+~P24(f333(f333(f272(x100331,x100331,a874),f333(f333(f9(x100331,f890(x100331,x100332),f890(x100331,a874)),f333(f333(f10(f890(x100332,a874),f890(f890(x100331,x100332),f890(x100331,a874)),x100331),f10(x100332,a874,x100331)),f333(f333(f10(x100332,f890(x100332,a874),x100331),a330),x100334))),x100334)),f603(x100334,x100333,x100332,x100331)))
% 163.24/162.97 [4979]~E(x49794,f118(x49791))+E(f333(f333(f155(x49791,x49792),x49793),x49794),f118(x49792))
% 163.24/162.97 [4980]~E(x49804,f197(x49801))+E(f333(f333(f208(x49801,x49802),x49803),x49804),f197(x49802))
% 163.24/162.97 [4981]~E(x49812,f118(x49811))+E(f333(f333(f160(x49811,x49812),x49813),x49814),f118(x49811))
% 163.24/162.97 [5216]E(x52161,f197(x52162))+~E(f333(f333(f208(x52162,x52163),x52164),x52161),f197(x52163))
% 163.24/162.97 [5217]E(x52171,f118(x52172))+~E(f333(f333(f155(x52172,x52173),x52174),x52171),f118(x52173))
% 163.24/162.97 [5218]E(x52181,f118(x52182))+~E(f333(f333(f160(x52182,x52181),x52183),x52184),f118(x52182))
% 163.24/162.97 [5251]E(x52511,x52512)+~E(f333(f333(f127(x52513),x52514),x52511),f333(f333(f127(x52513),x52514),x52512))
% 163.24/162.97 [5252]E(x52521,x52522)+~E(f333(f333(f127(x52523),x52521),x52524),f333(f333(f127(x52523),x52522),x52524))
% 163.24/162.97 [5406]P24(f333(x54063,x54062))+E(f171(x54061,x54062,f333(f137(x54061,x54063),x54064)),f333(f137(x54061,x54063),x54064))
% 163.24/162.97 [5409]~P24(f333(x54092,x54093))+P36(x54091,x54092,f333(f333(f152(x54091),x54093),x54094))
% 163.24/162.97 [5418]E(x54181,x54182)+~E(f140(a880,f333(f303(a880,x54181),x54183)),f333(f333(f152(a880),x54182),x54184))
% 163.24/162.97 [5466]~P22(x54662,x54663)+P22(x54661,f333(f333(f75(x54662,x54661),x54663),x54664))
% 163.24/162.97 [5467]~P40(x54672,x54673)+P40(x54671,f333(f333(f289(x54672,x54671),x54673),x54674))
% 163.24/162.97 [5589]~P36(x55891,x55892,x55894)+P36(x55891,x55892,f333(f333(f152(x55891),x55893),x55894))
% 163.24/162.97 [5590]~P36(x55901,x55902,x55904)+P36(x55901,x55902,f333(f333(f127(x55901),x55903),x55904))
% 163.24/162.97 [5591]~P36(x55911,x55912,x55913)+P36(x55911,x55912,f333(f333(f127(x55911),x55913),x55914))
% 163.24/162.97 [5678]~E(x56781,f118(x56782))+~E(f333(f333(f127(x56782),x56783),f333(f333(f152(x56782),x56784),f118(x56782))),x56781)
% 163.24/162.97 [5703]~P34(x57033,x57031,f333(f333(f152(x57033),x57032),x57034))+P24(f333(x57031,x57032))
% 163.24/162.97 [5713]E(f145(x57131,x57132),x57133)+~E(f333(f333(f127(x57131),x57134),f333(f333(f152(x57131),x57133),f118(x57131))),x57132)
% 163.24/162.97 [5714]E(f119(x57141,x57142),x57143)+~E(f333(f333(f127(x57141),x57143),f333(f333(f152(x57141),x57144),f118(x57141))),x57142)
% 163.24/162.97 [5823]~E(f140(a880,f333(f303(a880,x58231),x58232)),f333(f333(f152(a880),x58233),x58234))+P24(f333(f333(f251(a880),x58231),x58232))
% 163.24/162.97 [5831]P34(x58311,x58312,x58313)+~P34(x58311,x58312,f333(f333(f152(x58311),x58314),x58313))
% 163.24/162.97 [5832]P34(x58321,x58322,x58323)+~P34(x58321,x58322,f333(f333(f127(x58321),x58324),x58323))
% 163.24/162.97 [5833]P34(x58331,x58332,x58333)+~P34(x58331,x58332,f333(f333(f127(x58331),x58333),x58334))
% 163.24/162.97 [6022]E(x60221,f333(f333(f127(x60222),f333(f170(x60222),x60223)),f333(f333(f152(x60222),x60224),f118(x60222))))+~E(f333(f170(x60222),x60221),f333(f333(f152(x60222),x60224),x60223))
% 163.24/162.97 [6196]~P110(x61961)+E(f333(f333(f106(f890(x61961,a874)),f333(f303(x61961,x61962),x61963)),f333(f303(x61961,x61963),x61964)),f194(f890(x61961,a874)))
% 163.24/162.97 [6233]~P69(x62331)+E(f333(f167(x62331),f333(f333(f155(a1,x62331),x62332),f179(x62333,x62334))),f333(f333(f8(a1,x62331),x62332),f333(f173(a1),f179(x62333,x62334))))
% 163.24/162.97 [6234]~P69(x62341)+E(f333(f333(f8(a1,x62341),x62342),f333(f173(a1),f179(x62343,x62344))),f333(f167(x62341),f333(f333(f155(a1,x62341),x62342),f179(x62343,x62344))))
% 163.24/162.97 [6374]~E(x63742,f333(f333(f127(x63741),f333(f170(x63741),x63744)),f333(f333(f152(x63741),x63743),f118(x63741))))+E(f333(f170(x63741),x63742),f333(f333(f152(x63741),x63743),x63744))
% 163.24/162.97 [6390]~P15(x63902,x63903,x63904,x63901)+E(f333(x63901,f194(f890(x63902,a874))),f35(x63903))
% 163.24/162.97 [6416]~P110(x64161)+E(f333(f333(f106(f890(x64161,a874)),f307(x64161,x64162,x64163)),f333(f303(x64161,x64163),x64164)),f194(f890(x64161,a874)))
% 163.24/162.97 [6619]E(x66191,f194(f890(x66192,a874)))+~E(f320(x66193,x66192,x66194,x66191),f194(f890(f888(x66193,x66192),a874)))
% 163.24/162.97 [6620]E(x66201,f194(f890(x66202,a874)))+~E(f320(x66202,x66203,x66201,x66204),f194(f890(f888(x66202,x66203),a874)))
% 163.24/162.97 [6689]~P109(x66892)+E(f333(f195(f881(x66891)),f151(x66891,x66892,x66893,x66894)),f333(f195(f881(x66891)),x66894))
% 163.24/162.97 [6701]~P24(f333(f269(x67013,x67014,x67011),x67012))+P24(f333(f333(x67011,f700(x67012,x67011)),x67012))
% 163.24/162.97 [6741]~P24(f333(f63(x67412),x67414))+P24(f333(f63(x67411),f333(f312(x67412,x67411,x67413),x67414)))
% 163.24/162.97 [6963]~P21(x69632,x69631,x69633,x69634)+E(f333(f39(x69631),f333(f312(x69632,x69631,x69633),x69634)),f333(f39(x69632),x69634))
% 163.24/162.97 [6982]E(f333(f312(x69821,x69822,x69823),f333(f313(x69821,x69822,x69823),x69824)),x69824)+~E(f333(f312(x69821,x69822,x69823),f258(f890(x69821,a874))),f258(f890(x69822,a874)))
% 163.24/162.97 [7381]~P21(x73811,x73812,x73813,f258(f890(x73811,a874)))+E(f333(f313(x73811,x73812,x73813),f333(f312(x73811,x73812,x73813),x73814)),x73814)
% 163.24/162.97 [7706]P24(f333(x77061,x77062))+~P24(f333(f333(f335(x77063),x77062),f333(f173(x77063),f177(x77063,x77061,x77064))))
% 163.24/162.97 [7817]~P24(f333(f333(f335(f881(x78171)),f333(f333(f152(x78171),x78172),x78174)),f162(x78171,x78173)))+P24(f333(f333(f335(x78171),x78172),x78173))
% 163.24/162.97 [7936]~P24(f333(f333(f335(x79361),x79362),f333(f173(x79361),f171(x79361,x79364,x79363))))+P24(f333(f333(f335(x79361),x79362),f333(f173(x79361),x79363)))
% 163.24/162.97 [7938]~P24(f333(f333(f335(x79381),x79382),f333(f173(x79381),f175(x79381,x79383,x79384))))+P24(f333(f333(f335(x79381),x79382),f333(f173(x79381),x79383)))
% 163.24/162.97 [7939]~P24(f333(f333(f335(x79391),x79392),f333(f173(x79391),f177(x79391,x79394,x79393))))+P24(f333(f333(f335(x79391),x79392),f333(f173(x79391),x79393)))
% 163.24/162.97 [7948]E(f333(f195(f881(x79481)),x79482),x79483)+~P24(f333(f333(f335(f881(x79481)),x79482),f333(f173(f881(x79481)),f56(x79481,x79483,x79484))))
% 163.24/162.97 [8052]P24(f333(x80523,x80522))+E(f333(f137(x80521,f333(f333(f10(a874,a874,x80521),a328),f333(a330,x80522))),f333(f137(x80521,x80523),x80524)),f333(f137(x80521,x80523),x80524))
% 163.24/162.97 [8168]E(f333(f333(f166(x81681),f177(x81681,x81682,x81683)),x81684),f333(f333(f166(x81681),x81683),x81684))+~P24(f333(f333(f251(a880),x81684),f333(f195(f881(x81681)),f177(x81681,x81682,x81683))))
% 163.24/162.97 [8252]~P69(x82521)+E(f333(f333(f8(a880,x82521),f333(f333(f10(a880,x82521,a880),x82522),a117)),f333(f303(a880,x82523),x82524)),f333(f333(f8(a880,x82521),x82522),f333(f303(a880,f333(a117,x82523)),f333(a117,x82524))))
% 163.24/162.97 [8261]~P69(x82611)+E(f333(f333(f8(a880,x82611),f333(f333(f10(a880,x82611,a880),x82612),a117)),f304(a880,x82613,x82614)),f333(f333(f8(a880,x82611),x82612),f304(a880,f333(a117,x82613),f333(a117,x82614))))
% 163.24/162.97 [8390]~P21(x83901,x83903,x83904,f258(f890(x83901,a874)))+P21(x83901,f890(x83902,x83903),f333(f333(f10(x83903,f890(x83902,x83903),x83901),f18(x83903,x83902)),x83904),f258(f890(x83901,a874)))
% 163.24/162.97 [8479]~P21(x84792,x84791,x84794,x84793)+E(f333(f312(x84791,x84792,f78(x84792,x84791,x84793,x84794)),f333(f312(x84792,x84791,x84794),x84793)),x84793)
% 163.24/162.97 [8541]~P24(f333(f333(f335(f889(x85411,x85411)),f333(f333(f263(x85411,x85411),x85412),x85414)),f260(x85411,x85413)))+P24(f333(f333(f335(x85411),x85412),x85413))
% 163.24/162.97 [8629]E(f333(f333(f333(f73(x86291,f884(x86292)),f333(f18(f884(x86292),x86291),f197(x86292))),x86293),f333(f242(x86292),f493(x86293,x86294,x86292,x86291))),x86294)+~E(f184(x86291,x86292,x86294),f333(f333(f311(x86291),x86293),f194(f890(x86291,a874))))
% 163.24/162.97 [8742]~E(f333(f333(f8(x87421,a880),x87424),x87423),f333(a117,x87422))+P24(f333(f333(f335(x87421),f370(x87422,x87423,x87424,x87421)),x87423))
% 163.24/162.97 [8762]~E(f333(f333(f8(x87624,a880),x87621),x87623),f333(a117,x87622))+P24(f333(f333(f251(a880),f2(a880)),f333(x87621,f370(x87622,x87623,x87621,x87624))))
% 163.24/162.97 [8773]~P24(f333(f63(x87732),x87734))+P24(f333(f333(f250(a880),f333(f39(x87731),f333(f312(x87732,x87731,x87733),x87734))),f333(f39(x87732),x87734)))
% 163.24/162.97 [8774]E(f333(f333(f263(x87741,x87742),f801(x87743,x87744,x87742,x87741)),f802(x87743,x87744,x87742,x87741)),x87744)+~P24(f333(f333(f335(f889(x87741,x87742)),x87744),f333(f288(x87742,x87741),x87743)))
% 163.24/162.97 [8783]P21(x87831,x87832,x87833,x87834)+P24(f333(f333(f335(x87831),f834(x87834,x87833,x87832,x87831)),x87834))
% 163.24/162.97 [8784]P21(x87841,x87842,x87843,x87844)+P24(f333(f333(f335(x87841),f835(x87844,x87843,x87842,x87841)),x87844))
% 163.24/162.97 [8848]P9(x88481,x88482,x88483,x88484)+P24(f333(f333(f335(f889(x88481,x88481)),f603(x88484,x88483,x88482,x88481)),x88483))
% 163.24/162.97 [8911]P24(f333(x89111,x89112))+~P24(f333(x89111,f333(f333(f263(x89113,x89114),f498(x89114,x89113,x89111)),f499(x89114,x89113,x89111))))
% 163.24/162.97 [8930]E(f333(f195(f881(x89301)),x89302),f333(f195(f881(x89301)),x89303))+~P24(f333(f333(f335(f889(f881(x89301),f881(x89301))),f333(f333(f263(f881(x89301),f881(x89301)),x89302),x89303)),f159(x89301,x89304)))
% 163.24/162.97 [8931]E(f333(f195(f881(x89311)),x89312),f333(f195(f881(x89311)),x89313))+~P24(f333(f333(f335(f889(f881(x89311),f881(x89311))),f333(f333(f263(f881(x89311),f881(x89311)),x89312),x89313)),f146(x89311,x89314)))
% 163.24/162.97 [8932]E(f333(f195(f881(x89321)),x89322),f333(f195(f881(x89321)),x89323))+~P24(f333(f333(f335(f889(f881(x89321),f881(x89321))),f333(f333(f263(f881(x89321),f881(x89321)),x89322),x89323)),f158(x89321,x89324)))
% 163.24/162.97 [9005]P24(f333(f333(f250(a880),f156(x90051,x90052,x90053)),f156(x90051,x90054,x90053)))+P24(f333(f333(f335(x90051),f644(x90054,x90052,x90053,x90051)),f333(f173(x90051),x90053)))
% 163.24/162.97 [9008]E(f333(f195(f881(x90081)),x90082),f333(f195(f881(x90081)),x90083))+~P24(f333(f333(f335(f889(f881(x90081),f881(x90081))),f333(f333(f263(f881(x90081),f881(x90081)),x90082),x90083)),f309(f881(x90081),f158(x90081,x90084))))
% 163.24/162.97 [9237]~P21(x92371,x92372,x92373,x92374)+~P24(f333(f333(f251(a880),f333(f39(x92372),f333(f312(x92371,x92372,x92373),x92374))),f333(f39(x92371),x92374)))
% 163.24/162.97 [9291]~P24(f333(f333(f335(f889(f881(x92911),f881(x92911))),f333(f333(f263(f881(x92911),f881(x92911)),x92912),x92913)),f158(x92911,x92914)))+P24(f333(f333(f335(f889(f881(x92911),f881(x92911))),f333(f333(f263(f881(x92911),f881(x92911)),x92912),x92913)),f159(x92911,f309(x92911,x92914))))
% 163.24/162.97 [9295]~P24(f333(f333(f335(f889(f881(x92951),f881(x92951))),f333(f333(f263(f881(x92951),f881(x92951)),x92952),x92953)),f159(x92951,x92954)))+P24(f333(f333(f335(f889(f881(x92951),f881(x92951))),f333(f333(f263(f881(x92951),f881(x92951)),x92952),x92953)),f309(f881(x92951),f158(x92951,x92954))))
% 163.24/162.97 [9307]P24(f333(f333(f335(f889(x93071,x93071)),f333(f333(f263(x93071,x93071),x93072),x93073)),f309(x93071,x93074)))+~P24(f333(f333(f335(f889(x93071,x93071)),f333(f333(f263(x93071,x93071),x93072),x93073)),f333(f333(f290(x93071,x93071,x93071),x93074),f309(x93071,x93074))))
% 163.24/162.97 [9494]E(f333(f333(f127(x94941),f612(x94942,x94943,x94944,x94941)),f333(f333(f152(x94941),f613(x94942,x94943,x94944,x94941)),f618(x94942,x94943,x94944,x94941))),x94944)+~P24(f333(f333(f335(f889(f881(x94941),f881(x94941))),f333(f333(f263(f881(x94941),f881(x94941)),x94944),x94943)),f158(x94941,x94942)))
% 163.24/162.97 [9495]E(f333(f333(f127(x94951),f612(x94952,x94953,x94954,x94951)),f333(f333(f152(x94951),f614(x94952,x94953,x94954,x94951)),f618(x94952,x94953,x94954,x94951))),x94953)+~P24(f333(f333(f335(f889(f881(x94951),f881(x94951))),f333(f333(f263(f881(x94951),f881(x94951)),x94954),x94953)),f158(x94951,x94952)))
% 163.24/162.97 [9575]P24(f333(f333(f335(f889(x95751,x95751)),f333(f333(f263(x95751,x95751),x95752),f791(x95753,x95754,x95752,x95751))),f309(x95751,x95753)))+~P24(f333(f333(f335(f889(x95751,x95751)),f333(f333(f263(x95751,x95751),x95752),x95754)),f333(f333(f290(x95751,x95751,x95751),x95753),f309(x95751,x95753))))
% 163.24/162.97 [9658]P24(f333(f333(f250(a880),f156(x96581,x96582,x96583)),f156(x96581,x96584,x96583)))+~P24(f333(f333(f251(a880),f333(x96582,f644(x96584,x96582,x96583,x96581))),f333(x96584,f644(x96584,x96582,x96583,x96581))))
% 163.24/162.97 [9724]P24(f333(f333(f335(f889(x97241,x97241)),f333(f333(f263(x97241,x97241),f789(x97242,x97243,x97244,x97241)),x97243)),f309(x97241,x97242)))+~P24(f333(f333(f335(f889(x97241,x97241)),f333(f333(f263(x97241,x97241),x97244),x97243)),f333(f333(f290(x97241,x97241,x97241),x97242),f309(x97241,x97242))))
% 163.24/162.97 [5232]~E(x52322,x52323)+E(f171(x52321,x52322,f333(f333(f152(x52321),x52323),x52324)),x52324)
% 163.24/162.97 [5361]P24(f333(x53612,x53613))+E(f177(x53611,x53612,f333(f333(f152(x53611),x53613),x53614)),f118(x53611))
% 163.24/162.97 [5430]~P80(x54302)+E(f333(f333(f80(f890(x54301,x54302)),x54303),x54304),f333(f80(x54302),f333(x54303,x54304)))
% 163.24/162.97 [5442]~E(x54422,f2(a880))+E(f333(f333(f139(x54421),x54422),f333(f333(f152(x54421),x54423),x54424)),f333(f333(f152(x54421),x54423),x54424))
% 163.24/162.97 [5443]P24(f333(x54432,x54433))+E(f333(f137(x54431,x54432),f333(f333(f152(x54431),x54433),x54434)),f333(f137(x54431,x54432),x54434))
% 163.24/162.97 [5572]~E(x55722,x55724)+P24(f333(f333(f333(f311(x55721),x55722),x55723),x55724))
% 163.24/162.97 [5580]E(x55801,f118(x55802))+E(f145(x55803,f333(f333(f155(x55802,x55803),x55804),x55801)),f333(x55804,f145(x55802,x55801)))
% 163.24/162.97 [5594]~E(x55941,f65(x55942,x55944))+E(f333(x55941,f333(f333(f311(x55942),x55943),f194(f890(x55942,a874)))),x55943)
% 163.24/162.97 [5630]E(x56301,f118(x56302))+E(f333(f142(x56303),f333(f333(f155(x56302,x56303),x56304),x56301)),f333(x56304,f333(f142(x56302),x56301)))
% 163.24/162.97 [5732]~P24(f333(x57323,x57324))+P24(f333(f333(f333(f311(x57321),x57322),x57323),x57324))
% 163.24/162.97 [5848]~P14(x58482,x58484,x58481)+E(f333(x58481,f333(f333(f311(x58482),x58483),f194(f890(x58482,a874)))),x58483)
% 163.24/162.97 [5872]~E(x58722,x58723)+P24(f333(f333(f335(x58721),x58722),f333(f333(f311(x58721),x58723),x58724)))
% 163.24/162.97 [5876]~P26(x58761)+E(f333(f333(f115(x58761),x58762),f333(f333(f115(x58761),x58763),x58764)),f333(f333(f115(x58761),x58763),f333(f333(f115(x58761),x58762),x58764)))
% 163.24/162.97 [5878]~P101(x58781)+E(f333(f333(f115(x58781),x58782),f333(f333(f115(x58781),x58783),x58784)),f333(f333(f115(x58781),x58783),f333(f333(f115(x58781),x58782),x58784)))
% 163.24/162.97 [5879]~P26(x58791)+E(f333(f333(f106(x58791),x58792),f333(f333(f106(x58791),x58793),x58794)),f333(f333(f106(x58791),x58793),f333(f333(f106(x58791),x58792),x58794)))
% 163.24/162.97 [5881]~P102(x58811)+E(f333(f333(f106(x58811),x58812),f333(f333(f106(x58811),x58813),x58814)),f333(f333(f106(x58811),x58813),f333(f333(f106(x58811),x58812),x58814)))
% 163.24/162.97 [5882]~P115(x58821)+E(f333(f333(f81(x58821),x58822),f333(f333(f81(x58821),x58823),x58824)),f333(f333(f81(x58821),x58823),f333(f333(f81(x58821),x58822),x58824)))
% 163.24/162.97 [5883]~P115(x58831)+E(f333(f333(f82(x58831),x58832),f333(f333(f82(x58831),x58833),x58834)),f333(f333(f82(x58831),x58833),f333(f333(f82(x58831),x58832),x58834)))
% 163.24/162.97 [5885]~P109(x58851)+E(f333(f333(f248(x58851),x58852),f333(f333(f248(x58851),x58853),x58854)),f333(f333(f248(x58851),x58853),f333(f333(f248(x58851),x58852),x58854)))
% 163.24/162.97 [5887]~P109(x58871)+E(f333(f333(f249(x58871),x58872),f333(f333(f249(x58871),x58873),x58874)),f333(f333(f249(x58871),x58873),f333(f333(f249(x58871),x58872),x58874)))
% 163.24/162.97 [5892]E(x58921,x58922)+E(f171(x58923,x58921,f333(f333(f152(x58923),x58922),x58924)),f333(f333(f152(x58923),x58922),f171(x58923,x58921,x58924)))
% 163.24/162.97 [5905]~P24(f333(x59052,x59053))+E(f333(f137(x59051,x59052),f333(f333(f152(x59051),x59053),x59054)),f333(f333(f152(x59051),x59053),f333(f137(x59051,x59052),x59054)))
% 163.24/162.97 [6042]~P24(f333(x60422,x60423))+E(f177(x60421,x60422,f333(f333(f152(x60421),x60423),x60424)),f333(f333(f152(x60421),x60423),f177(x60421,x60422,x60424)))
% 163.24/162.97 [6093]P20(x60931,x60932,x60933)+~P20(x60931,x60932,f333(f333(f311(f879(x60931)),x60934),x60933))
% 163.24/162.97 [6106]E(x61061,f194(f890(x61062,a874)))+E(f333(f333(f43(x61062,f890(x61063,a874)),x61061),f333(f18(f890(x61063,a874),x61062),x61064)),x61064)
% 163.24/162.97 [6107]E(x61071,f194(f890(x61072,a874)))+E(f333(f333(f44(x61072,f890(x61073,a874)),x61071),f333(f18(f890(x61073,a874),x61072),x61074)),x61074)
% 163.24/162.97 [6116]~E(x61164,f194(f890(x61162,a874)))+E(f333(f333(f270(x61161,x61162),x61163),f333(f18(f890(x61162,a874),x61161),x61164)),f194(f890(f889(x61161,x61162),a874)))
% 163.24/162.97 [6117]~E(x61173,f194(f890(x61171,a874)))+E(f333(f333(f270(x61171,x61172),x61173),f333(f18(f890(x61172,a874),x61171),x61174)),f194(f890(f889(x61171,x61172),a874)))
% 163.24/162.97 [6165]E(x61651,f2(a880))+E(f333(f333(f139(x61652),x61651),f333(f333(f152(x61652),x61653),x61654)),f333(f333(f139(x61652),f333(f333(f3(a880),x61651),f79(a880))),x61654))
% 163.24/162.97 [6190]E(x61901,f194(f890(x61902,a874)))+E(f333(f312(x61902,x61903,f333(f18(x61903,x61902),x61904)),x61901),f333(f333(f311(x61903),x61904),f194(f890(x61903,a874))))
% 163.24/162.97 [6193]E(f333(f313(x61931,x61932,f333(f18(x61932,x61931),x61933)),x61934),f194(f890(x61931,a874)))+P24(f333(f333(f335(x61932),x61933),x61934))
% 163.24/162.97 [6259]~E(x62593,f194(f890(x62591,a874)))+E(f333(f333(f43(x62591,f890(x62592,a874)),x62593),f333(f18(f890(x62592,a874),x62591),x62594)),f258(f890(x62592,a874)))
% 163.24/162.97 [6260]~E(x62603,f194(f890(x62601,a874)))+E(f333(f333(f44(x62601,f890(x62602,a874)),x62603),f333(f18(f890(x62602,a874),x62601),x62604)),f194(f890(x62602,a874)))
% 163.24/162.97 [6262]~P60(x62621)+E(f46(x62621,f333(f333(f82(x62621),x62622),x62623),f333(f333(f82(x62621),x62622),x62624)),f333(f333(f82(x62621),x62622),f46(x62621,x62623,x62624)))
% 163.24/162.97 [6426]E(f333(f313(x64261,x64262,f333(f18(x64262,x64261),x64263)),x64264),f258(f890(x64261,a874)))+~P24(f333(f333(f335(x64262),x64263),x64264))
% 163.24/162.97 [6449]~P24(f333(f333(f335(x64491),x64492),x64494))+P24(f333(f333(f335(x64491),x64492),f333(f333(f311(x64491),x64493),x64494)))
% 163.24/162.97 [6454]P24(f333(x64541,x64542))+~P24(f333(f161(x64543,x64541),f333(f333(f152(x64543),x64542),x64544)))
% 163.24/162.97 [6463]~E(x64633,f333(f333(f3(a880),f333(f195(f881(x64631)),x64632)),f79(a880)))+E(f119(x64631,f333(f333(f160(x64631,x64632),x64633),x64634)),f119(x64631,x64632))
% 163.24/162.97 [6481]~P109(x64811)+E(f333(f333(f106(f890(x64811,a874)),f333(f302(x64811),x64812)),f304(x64811,x64813,x64814)),f304(x64811,x64813,f333(f333(f248(x64811),x64812),x64814)))
% 163.24/162.97 [6482]~P109(x64821)+E(f333(f333(f106(f890(x64821,a874)),f333(f257(x64821),x64822)),f304(x64821,x64823,x64824)),f304(x64821,f333(f333(f249(x64821),x64822),x64823),x64824))
% 163.24/162.97 [6497]E(f333(f333(f106(f890(x64971,a874)),x64972),f333(f333(f311(x64971),x64973),x64974)),f333(f333(f106(f890(x64971,a874)),x64972),x64974))+P24(f333(f333(f335(x64971),x64973),x64972))
% 163.24/162.97 [6509]E(f171(x65091,x65092,f333(f333(f127(x65091),x65093),x65094)),f333(f333(f127(x65091),x65093),f171(x65091,x65092,x65094)))+P24(f333(f333(f335(x65091),x65092),f333(f173(x65091),x65093)))
% 163.24/162.97 [6513]~P83(x65131)+E(f333(f333(f82(x65131),f333(f333(f264(x65131),x65132),x65133)),f333(f333(f264(x65131),x65132),x65134)),f333(f333(f264(x65131),x65132),f333(f333(f81(a880),x65133),x65134)))
% 163.24/162.97 [6514]~P115(x65141)+E(f333(f333(f82(x65141),f333(f333(f264(x65141),x65142),x65143)),f333(f333(f264(x65141),x65142),x65144)),f333(f333(f264(x65141),x65142),f333(f333(f81(a880),x65143),x65144)))
% 163.24/162.97 [6547]~P99(x65471)+E(f333(f333(f106(x65471),f333(f333(f115(x65471),x65472),x65473)),f333(f333(f115(x65471),x65472),x65474)),f333(f333(f115(x65471),x65472),f333(f333(f106(x65471),x65473),x65474)))
% 163.24/162.97 [6548]~P99(x65481)+E(f333(f333(f115(x65481),f333(f333(f106(x65481),x65482),x65483)),f333(f333(f106(x65481),x65482),x65484)),f333(f333(f106(x65481),x65482),f333(f333(f115(x65481),x65483),x65484)))
% 163.24/162.97 [6549]~P115(x65491)+E(f333(f333(f81(x65491),f333(f333(f82(x65491),x65492),x65493)),f333(f333(f82(x65491),x65492),x65494)),f333(f333(f82(x65491),x65492),f333(f333(f81(x65491),x65493),x65494)))
% 163.24/162.97 [6550]~P109(x65501)+E(f333(f333(f249(x65501),f333(f333(f248(x65501),x65502),x65503)),f333(f333(f248(x65501),x65502),x65504)),f333(f333(f248(x65501),x65502),f333(f333(f249(x65501),x65503),x65504)))
% 163.24/162.97 [6551]~P109(x65511)+E(f333(f333(f248(x65511),f333(f333(f249(x65511),x65512),x65513)),f333(f333(f249(x65511),x65512),x65514)),f333(f333(f249(x65511),x65512),f333(f333(f248(x65511),x65513),x65514)))
% 163.24/162.97 [6583]~P60(x65831)+E(f46(x65831,f333(f333(f82(x65831),x65832),x65833),f333(f333(f82(x65831),x65834),x65833)),f333(f333(f82(x65831),f46(x65831,x65832,x65834)),x65833))
% 163.24/162.97 [6586]~E(f333(f195(f881(x65861)),x65863),f333(f195(f881(x65862)),x65864))+E(f333(f333(f155(f889(x65861,x65862),x65862),f271(x65861,x65862)),f333(f333(f182(x65861,x65862),x65863),x65864)),x65864)
% 163.24/162.97 [6587]~E(f333(f195(f881(x65871)),x65873),f333(f195(f881(x65872)),x65874))+E(f333(f333(f155(f889(x65871,x65872),x65871),f262(x65871,x65872)),f333(f333(f182(x65871,x65872),x65873),x65874)),x65873)
% 163.24/162.97 [6593]P24(f333(f161(x65931,x65932),x65933))+~P24(f333(f161(x65931,x65932),f333(f333(f152(x65931),x65934),x65933)))
% 163.24/162.97 [6594]P24(f333(f161(x65941,x65942),x65943))+~P24(f333(f161(x65941,x65942),f333(f333(f127(x65941),x65944),x65943)))
% 163.24/162.97 [6595]P24(f333(f161(x65951,x65952),x65953))+~P24(f333(f161(x65951,x65952),f333(f333(f127(x65951),x65953),x65954)))
% 163.24/162.97 [6600]~P61(x66001)+E(f46(x66001,f333(f333(f3(x66001),x66002),f46(x66001,x66003,x66004)),x66004),f46(x66001,f333(f333(f3(x66001),x66002),x66003),x66004))
% 163.24/162.97 [6602]~P60(x66021)+E(f46(x66021,f333(f333(f82(x66021),x66022),f46(x66021,x66023,x66024)),x66024),f46(x66021,f333(f333(f82(x66021),x66022),x66023),x66024))
% 163.24/162.97 [6603]~P60(x66031)+E(f46(x66031,f333(f333(f81(x66031),x66032),f46(x66031,x66033,x66034)),x66034),f46(x66031,f333(f333(f81(x66031),x66032),x66033),x66034))
% 163.24/162.97 [6683]~P109(x66831)+E(f333(f333(f106(f890(x66831,a874)),f304(x66831,x66832,x66833)),f333(f302(x66831),x66834)),f304(x66831,x66832,f333(f333(f248(x66831),x66833),x66834)))
% 163.24/162.97 [6684]~P109(x66841)+E(f333(f333(f106(f890(x66841,a874)),f304(x66841,x66842,x66843)),f333(f257(x66841),x66844)),f304(x66841,f333(f333(f249(x66841),x66842),x66844),x66843))
% 163.24/162.97 [6687]~E(f333(f195(f881(x66871)),x66873),f333(f195(f881(x66872)),x66874))+E(f333(f333(f182(x66871,x66872),f333(f170(x66871),x66873)),f333(f170(x66872),x66874)),f333(f170(f889(x66871,x66872)),f333(f333(f182(x66871,x66872),x66873),x66874)))
% 163.24/162.97 [6697]E(x66971,f333(f333(f3(a880),f333(f195(f881(x66972)),x66973)),f79(a880)))+E(f119(x66972,f333(f333(f160(x66972,x66973),x66971),x66974)),f333(f333(f160(x66972,f119(x66972,x66973)),x66971),x66974))
% 163.24/162.97 [6712]~P24(f333(f138(x67122),x67124))+P24(f333(f138(f889(x67121,x67122)),f333(f333(f182(x67121,x67122),x67123),x67124)))
% 163.24/162.97 [6713]~P24(f333(f138(x67131),x67133))+P24(f333(f138(f889(x67131,x67132)),f333(f333(f182(x67131,x67132),x67133),x67134)))
% 163.24/162.97 [6966]E(f333(f333(f40(a880),x69661),x69662),x69663)+~P24(f333(f49(x69661,x69662),f333(f333(f263(a880,a880),x69663),x69664)))
% 163.24/162.97 [6990]E(f46(a880,x69901,x69902),x69903)+~P24(f333(f49(x69901,x69902),f333(f333(f263(a880,a880),x69904),x69903)))
% 163.24/162.97 [6993]P24(f333(f138(x69931),x69932))+~P24(f333(f138(x69933),f333(f333(f155(x69931,x69933),x69934),x69932)))
% 163.24/162.97 [7001]~P20(x70011,x70012,f333(f333(f311(f879(x70011)),x70013),x70014))+P20(x70011,x70012,f333(f333(f311(f879(x70011)),x70013),f194(f890(f879(x70011),a874))))
% 163.24/162.97 [7007]P24(f333(f333(f201(x70071),x70072),x70073))+~P24(f333(f333(f333(f333(a203,x70071),x70072),x70074),x70073))
% 163.24/162.97 [7078]E(f171(x70781,x70782,f333(f333(f127(x70781),x70783),x70784)),f333(f333(f127(x70781),f171(x70781,x70782,x70783)),x70784))+~P24(f333(f333(f335(x70781),x70782),f333(f173(x70781),x70783)))
% 163.24/162.97 [7168]~P61(x71681)+E(f46(x71681,f333(f333(f3(x71681),f46(x71681,x71682,x71683)),x71684),x71683),f46(x71681,f333(f333(f3(x71681),x71682),x71684),x71683))
% 163.24/162.97 [7171]~P60(x71711)+E(f46(x71711,f333(f333(f81(x71711),f46(x71711,x71712,x71713)),x71714),x71713),f46(x71711,f333(f333(f81(x71711),x71712),x71714),x71713))
% 163.24/162.97 [7172]~P60(x71721)+E(f46(x71721,f333(f333(f82(x71721),f46(x71721,x71722,x71723)),x71724),x71723),f46(x71721,f333(f333(f82(x71721),x71722),x71724),x71723))
% 163.24/162.97 [7353]~E(x73531,f333(f333(f152(x73532),x73533),x73534))+~P24(f333(f333(f250(a880),f333(f195(f881(x73532)),x73531)),f333(f195(f881(x73532)),x73534)))
% 163.24/162.97 [7427]~E(f333(f178(x74271,x74272),x74273),f333(f178(x74271,x74272),x74274))+E(f333(f312(f889(x74271,x74272),x74271,f262(x74271,x74272)),f333(f173(f889(x74271,x74272)),x74273)),f333(f312(f889(x74271,x74272),x74271,f262(x74271,x74272)),f333(f173(f889(x74271,x74272)),x74274)))
% 163.24/162.97 [7557]P21(x75571,x75572,x75573,f333(f173(x75571),x75574))+~P24(f333(f138(x75572),f333(f333(f155(x75571,x75572),x75573),x75574)))
% 163.24/162.97 [7629]~P24(f333(f333(f250(f890(x76291,a874)),x76292),x76294))+P24(f333(f333(f250(f890(x76291,a874)),x76292),f333(f333(f311(x76291),x76293),x76294)))
% 163.24/162.97 [7662]~P61(x76621)+E(f46(x76621,f333(f333(f3(x76621),f46(x76621,x76622,x76623)),f46(x76621,x76624,x76623)),x76623),f46(x76621,f333(f333(f3(x76621),x76622),x76624),x76623))
% 163.24/162.97 [7663]~P60(x76631)+E(f46(x76631,f333(f333(f81(x76631),f46(x76631,x76632,x76633)),f46(x76631,x76634,x76633)),x76633),f46(x76631,f333(f333(f81(x76631),x76632),x76634),x76633))
% 163.24/162.97 [7664]~P60(x76641)+E(f46(x76641,f333(f333(f82(x76641),f46(x76641,x76642,x76643)),f46(x76641,x76644,x76643)),x76643),f46(x76641,f333(f333(f82(x76641),x76642),x76644),x76643))
% 163.24/162.97 [7762]P24(f333(f333(f333(f333(a203,x77621),x77622),f333(a117,x77623)),x77624))+~P24(f333(f333(f333(f333(a203,x77621),x77622),x77623),x77624))
% 163.24/162.97 [7771]~E(f333(x77714,f527(x77714,x77713,x77711,x77712)),f194(f890(x77712,a874)))+E(f333(f333(f44(x77711,f890(x77712,a874)),x77713),x77714),f194(f890(x77712,a874)))
% 163.24/162.97 [7772]~E(f333(x77724,f502(x77724,x77723,x77721,x77722)),f258(f890(x77722,a874)))+E(f333(f333(f43(x77721,f890(x77722,a874)),x77723),x77724),f258(f890(x77722,a874)))
% 163.24/162.97 [7773]~E(f333(x77734,f503(x77734,x77733,x77732,x77731)),f258(f890(x77732,a874)))+E(f333(f333(f43(x77731,f890(x77732,a874)),x77733),x77734),f258(f890(x77732,a874)))
% 163.24/162.97 [7774]~E(f333(x77744,f528(x77744,x77743,x77742,x77741)),f194(f890(x77742,a874)))+E(f333(f333(f44(x77741,f890(x77742,a874)),x77743),x77744),f194(f890(x77742,a874)))
% 163.24/162.97 [8169]P24(f333(x81691,x81692))+~P24(f333(f333(f335(x81693),x81692),f333(f333(f106(f890(x81693,a874)),x81694),f333(f255(x81693),x81691))))
% 163.24/162.97 [8207]~P24(f333(f333(f250(f890(x82071,a874)),x82073),x82074))+P24(f333(f333(f250(f890(x82071,a874)),f333(f333(f311(x82071),x82072),x82073)),f333(f333(f311(x82071),x82072),x82074)))
% 163.24/162.97 [8371]P24(f333(f333(f201(x83711),x83712),f369(x83713,x83712,x83714,x83711)))+~P24(f333(f333(f201(f34(x83711,x83714)),x83712),x83713))
% 163.24/162.97 [8372]P24(f333(f333(f201(x83721),x83722),f389(x83723,x83722,x83724,x83721)))+~P24(f333(f333(f201(f34(x83721,x83724)),x83722),x83723))
% 163.24/162.97 [8381]P24(f333(x83812,x83813))+E(f333(f333(f139(x83811),f333(f195(f881(x83811)),f177(x83811,x83812,f333(f333(f152(x83811),x83813),x83814)))),f333(f333(f152(x83811),x83813),x83814)),f333(f333(f152(x83811),x83813),x83814))
% 163.24/162.97 [8493]~P24(f333(f333(f251(a880),f333(x84934,x84932)),f333(x84934,x84933)))+P24(f333(f333(f335(f889(x84931,x84931)),f333(f333(f263(x84931,x84931),x84932),x84933)),f333(f333(f289(a880,x84931),a254),x84934)))
% 163.24/162.97 [8586]~P24(f333(x85862,f737(x85864,x85862,x85863,x85861)))+E(f177(x85861,x85862,f333(f333(f127(x85861),x85863),x85864)),f333(f333(f127(x85861),x85863),f177(x85861,x85862,x85864)))
% 163.24/162.97 [8649]P21(f881(x86491),f881(x86492),f333(f155(x86491,x86492),x86493),x86494)+~P21(x86491,x86492,x86493,f41(f890(x86491,a874),f333(f312(f881(x86491),f890(x86491,a874),f173(x86491)),x86494)))
% 163.24/162.97 [8714]~P24(f333(x87142,x87143))+E(f333(f333(f139(x87141),f333(f195(f881(x87141)),f177(x87141,x87142,f333(f333(f152(x87141),x87143),x87144)))),f333(f333(f152(x87141),x87143),x87144)),f333(f333(f139(x87141),f333(f195(f881(x87141)),f177(x87141,x87142,x87144))),x87144))
% 163.24/162.97 [8754]~E(x87542,x87543)+E(f333(f137(x87541,f333(f333(f10(a874,a874,x87541),a328),f333(a330,x87542))),f333(f333(f152(x87541),x87543),x87544)),f333(f137(x87541,f333(f333(f10(a874,a874,x87541),a328),f333(a330,x87542))),x87544))
% 163.24/162.97 [8763]E(f333(f333(f44(x87631,f890(x87632,a874)),x87633),x87634),f194(f890(x87632,a874)))+P24(f333(f333(f335(x87631),f527(x87634,x87633,x87631,x87632)),x87633))
% 163.24/162.97 [8764]E(f333(f333(f43(x87641,f890(x87642,a874)),x87643),x87644),f258(f890(x87642,a874)))+P24(f333(f333(f335(x87641),f502(x87644,x87643,x87641,x87642)),x87643))
% 163.24/162.97 [8765]E(f333(f333(f43(x87651,f890(x87652,a874)),x87653),x87654),f258(f890(x87652,a874)))+P24(f333(f333(f335(x87651),f503(x87654,x87653,x87652,x87651)),x87653))
% 163.24/162.97 [8766]E(f333(f333(f44(x87661,f890(x87662,a874)),x87663),x87664),f194(f890(x87662,a874)))+P24(f333(f333(f335(x87661),f528(x87664,x87663,x87662,x87661)),x87663))
% 163.24/162.97 [8805]P24(f333(f333(f251(a880),f333(x88051,x88052)),f333(x88051,x88053)))+~P24(f333(f333(f335(f889(x88054,x88054)),f333(f333(f263(x88054,x88054),x88052),x88053)),f333(f333(f289(a880,x88054),a254),x88051)))
% 163.24/162.97 [8827]E(f177(x88271,x88272,f333(f333(f127(x88271),x88273),x88274)),f333(f333(f127(x88271),x88273),f177(x88271,x88272,x88274)))+P24(f333(f333(f335(x88271),f737(x88274,x88272,x88273,x88271)),f333(f173(x88271),x88273)))
% 163.24/162.97 [8865]P24(f333(f333(f201(x88651),f369(x88652,x88653,x88651,x88654)),x88652))+~P24(f333(f333(f201(f34(x88654,x88651)),x88653),x88652))
% 163.24/162.97 [8866]P24(f333(f333(f201(x88661),f389(x88662,x88663,x88661,x88664)),x88662))+~P24(f333(f333(f201(f34(x88664,x88661)),x88663),x88662))
% 163.24/162.97 [8994]P24(f333(f333(f335(x89941),f558(x89942,x89943,x89944,x89941)),x89943))+~P24(f333(f333(f335(f890(x89941,a874)),x89944),f333(f333(f62(x89941),x89943),x89942)))
% 163.24/162.97 [8997]E(x89971,x89972)+~P24(f333(f333(f335(f889(x89973,x89973)),f333(f333(f263(x89973,x89973),x89971),x89972)),f333(f333(f189(f889(x89973,x89973),a874),f2(a880)),x89974)))
% 163.24/162.97 [9062]E(f333(f287(x90621,x90621,x90622),f333(f333(f311(x90621),f558(x90622,x90623,x90624,x90621)),f194(f890(x90621,a874)))),x90624)+~P24(f333(f333(f335(f890(x90621,a874)),x90624),f333(f333(f62(x90621),x90623),x90622)))
% 163.24/162.97 [9067]~P24(f333(f333(f335(f889(x90671,x90671)),f333(f333(f263(x90671,x90671),x90673),x90672)),f309(x90671,x90674)))+P24(f333(f333(f335(f889(x90671,x90671)),f333(f333(f263(x90671,x90671),x90672),x90673)),f309(x90671,f333(f288(x90671,x90671),x90674))))
% 163.24/162.97 [9079]~P60(x90791)+E(f333(f333(f81(x90791),f333(f333(f81(x90791),f333(f333(f82(x90791),x90792),f333(f333(f40(x90791),x90793),x90792))),f46(x90791,x90793,x90792))),x90794),f333(f333(f81(x90791),x90793),x90794))
% 163.24/162.97 [9094]~P24(f333(f333(f335(x90941),x90943),x90944))+P24(f333(f333(f335(f890(x90941,a874)),f333(f287(x90941,x90941,x90942),f333(f333(f311(x90941),x90943),f194(f890(x90941,a874))))),f333(f333(f62(x90941),x90944),x90942)))
% 163.24/162.97 [9106]P24(f333(f333(f335(f889(x91061,x91061)),f333(f333(f263(x91061,x91061),x91062),x91063)),f309(x91061,x91064)))+~P24(f333(f333(f335(f889(x91061,x91061)),f333(f333(f263(x91061,x91061),x91063),x91062)),f309(x91061,f333(f288(x91061,x91061),x91064))))
% 163.24/162.97 [9201]E(f333(f333(f160(x92011,f333(f170(x92011),x92012)),f333(f333(f3(a880),f333(f333(f3(a880),f333(f195(f881(x92011)),x92012)),x92013)),f79(a880))),x92014),f333(f170(x92011),f333(f333(f160(x92011,x92012),x92013),x92014)))+~P24(f333(f333(f251(a880),x92013),f333(f195(f881(x92011)),x92012)))
% 163.24/162.97 [9204]~P24(f333(x92042,f730(x92044,x92042,x92043,x92041)))+E(f333(f333(f139(x92041),f333(f195(f881(x92041)),f177(x92041,x92042,f333(f333(f127(x92041),x92043),x92044)))),f333(f333(f127(x92041),x92043),x92044)),f333(f333(f139(x92041),f333(f195(f881(x92041)),f177(x92041,x92042,x92044))),x92044))
% 163.24/162.97 [9243]~P21(x92432,x92431,x92433,f258(f890(x92432,a874)))+P24(f333(f333(f250(f890(x92431,a874)),f333(f312(x92432,x92431,x92433),f333(f80(f890(x92432,a874)),x92434))),f333(f80(f890(x92431,a874)),f333(f312(x92432,x92431,x92433),x92434))))
% 163.24/162.97 [9256]~P29(x92561)+E(f333(f143(x92561,x92562,f333(f9(x92562,x92561,x92561),f333(f333(f10(x92561,f890(x92561,x92561),x92562),f106(x92561)),x92563)),f258(x92561)),x92564),f333(f333(f43(x92562,x92561),f333(f173(x92562),x92564)),x92563))
% 163.24/162.97 [9257]~P29(x92571)+E(f333(f143(x92571,x92572,f333(f9(x92572,x92571,x92571),f333(f333(f10(x92571,f890(x92571,x92571),x92572),f115(x92571)),x92573)),f194(x92571)),x92574),f333(f333(f44(x92572,x92571),f333(f173(x92572),x92574)),x92573))
% 163.24/162.97 [9271]E(f333(f333(f139(x92711),f333(f195(f881(x92711)),f177(x92711,x92712,f333(f333(f127(x92711),x92713),x92714)))),f333(f333(f127(x92711),x92713),x92714)),f333(f333(f139(x92711),f333(f195(f881(x92711)),f177(x92711,x92712,x92714))),x92714))+P24(f333(f333(f335(x92711),f730(x92714,x92712,x92713,x92711)),f333(f173(x92711),x92713)))
% 163.24/162.97 [9340]~P24(f333(f333(f335(f889(f881(x93404),f881(x93404))),f333(f333(f263(f881(x93404),f881(x93404)),x93403),x93402)),f158(x93404,x93401)))+P24(f333(f333(f251(a880),f609(x93401,x93402,x93403,x93404)),f333(f195(f881(x93404)),x93403)))
% 163.24/162.97 [9341]~P60(x93411)+E(f333(f333(f81(x93411),f333(f333(f81(x93411),f333(f333(f82(x93411),f333(f333(f40(x93411),x93412),x93413)),x93413)),f46(x93411,x93412,x93413))),x93414),f333(f333(f81(x93411),x93412),x93414))
% 163.24/162.97 [9374]~P24(f333(f333(f335(f889(f881(x93741),f881(x93741))),f333(f333(f263(f881(x93741),f881(x93741)),x93742),x93743)),f333(f288(f881(x93741),f881(x93741)),f158(x93741,x93744))))+P24(f333(f333(f335(f889(f881(x93741),f881(x93741))),f333(f333(f263(f881(x93741),f881(x93741)),x93742),x93743)),f158(x93741,f333(f288(x93741,x93741),x93744))))
% 163.24/162.97 [9375]P24(f333(f333(f335(f889(f881(x93751),f881(x93751))),f333(f333(f263(f881(x93751),f881(x93751)),x93752),x93753)),f333(f288(f881(x93751),f881(x93751)),f158(x93751,x93754))))+~P24(f333(f333(f335(f889(f881(x93751),f881(x93751))),f333(f333(f263(f881(x93751),f881(x93751)),x93752),x93753)),f158(x93751,f333(f288(x93751,x93751),x93754))))
% 163.24/162.97 [9402]~P24(f333(f333(f335(x94021),x94023),f333(f261(x94021,x94022),x94024)))+P24(f333(f333(f335(f889(x94021,x94022)),f333(f333(f263(x94021,x94022),x94023),f713(x94024,x94022,x94023,x94021))),x94024))
% 163.24/162.97 [9403]~P24(f333(f333(f335(x94031),x94033),f333(f261(x94031,x94032),x94034)))+P24(f333(f333(f335(f889(x94031,x94032)),f333(f333(f263(x94031,x94032),x94033),f715(x94034,x94032,x94033,x94031))),x94034))
% 163.24/162.97 [9525]~P24(f333(f63(f884(x95251)),f333(f312(x95252,f884(x95251),x95253),f258(f890(x95252,a874)))))+P24(f333(f63(f884(x95251)),f333(f312(x95252,f884(x95251),f185(x95252,x95251,x95253,f333(f178(x95252,x95251),x95254))),f258(f890(x95252,a874)))))
% 163.24/162.97 [9570]~P24(f333(f333(f335(f889(x95701,x95701)),f333(f333(f263(x95701,x95701),x95702),x95704)),f333(f333(f290(x95701,x95701,x95701),x95703),f309(x95701,x95703))))+P24(f333(f333(f335(f889(x95701,x95701)),f333(f333(f263(x95701,x95701),x95702),f789(x95703,x95704,x95702,x95701))),x95703))
% 163.24/162.97 [9763]~P24(f333(f333(f335(f889(x97632,x97631)),x97634),f333(f288(x97631,x97632),x97633)))+P24(f333(f333(f335(f889(x97631,x97632)),f333(f333(f263(x97631,x97632),f802(x97633,x97634,x97631,x97632)),f801(x97633,x97634,x97631,x97632))),x97633))
% 163.24/162.97 [9794]~P24(f333(f333(f335(f889(f881(x97941),f881(x97941))),f333(f333(f263(f881(x97941),f881(x97941)),x97944),x97943)),f158(x97941,x97942)))+P24(f333(f333(f335(f889(x97941,x97941)),f333(f333(f263(x97941,x97941),f613(x97942,x97943,x97944,x97941)),f614(x97942,x97943,x97944,x97941))),x97942))
% 163.24/162.97 [9880]~P24(f333(f333(f335(f889(f881(x98801),f881(x98801))),f333(f333(f263(f881(x98801),f881(x98801)),x98802),x98804)),f158(x98801,x98803)))+P24(f333(f333(f335(f889(x98801,x98801)),f333(f333(f263(x98801,x98801),f333(f333(f166(x98801),x98802),f609(x98803,x98804,x98802,x98801))),f610(x98803,x98804,x98802,x98801))),x98803))
% 163.24/162.97 [9901]~P24(f333(f63(x99012),x99014))+E(f333(f333(f333(f67(f890(x99011,a874),x99012,f115(f890(x99011,a874))),f333(f333(f9(x99012,f890(x99011,a874),f890(x99011,a874)),f333(f333(f10(x99011,f890(f890(x99011,a874),f890(x99011,a874)),x99012),f311(x99011)),x99013)),f194(f890(x99011,a874)))),f194(f890(x99011,a874))),x99014),f333(f312(x99012,x99011,x99013),x99014))
% 163.24/162.97 [9981]~P21(x99811,x99812,x99813,f258(f890(x99811,a874)))+P24(f333(f333(f250(f890(x99811,a874)),f333(f313(x99811,x99812,x99813),f333(f333(f311(x99812),x99814),f194(f890(x99812,a874))))),f333(f333(f311(x99811),f86(x99811,f333(f333(f9(x99811,x99812,a874),f333(f333(f10(x99812,f890(x99812,a874),x99811),a330),x99813)),x99814))),f194(f890(x99811,a874)))))
% 163.24/162.97 [5639]~E(f333(f333(f127(x56391),x56392),x56394),x56393)+E(f333(f333(f174(x56391),f333(f195(f881(x56391)),x56392)),x56393),x56392)
% 163.24/162.97 [5640]~E(f333(f333(f127(x56402),x56403),x56401),x56404)+E(x56401,f333(f333(f139(x56402),f333(f195(f881(x56402)),x56403)),x56404))
% 163.24/162.97 [5651]~E(x56514,f2(a880))+E(f333(f333(f166(x56511),f333(f333(f152(x56511),x56512),x56513)),x56514),x56512)
% 163.24/162.97 [6178]~P115(x61781)+E(f333(f333(f264(x61781),f333(f333(f264(x61781),x61782),x61783)),x61784),f333(f333(f264(x61781),x61782),f333(f333(f82(a880),x61783),x61784)))
% 163.24/162.97 [6179]~P83(x61791)+E(f333(f333(f264(x61791),f333(f333(f264(x61791),x61792),x61793)),x61794),f333(f333(f264(x61791),x61792),f333(f333(f82(a880),x61793),x61794)))
% 163.24/162.97 [6191]E(x61911,f2(a880))+E(f333(f333(f166(x61912),f333(f333(f152(x61912),x61913),x61914)),x61911),f333(f333(f166(x61912),x61914),f333(f333(f3(a880),x61911),f79(a880))))
% 163.24/162.97 [6217]~P118(x62171)+E(f333(f333(f291(x62171),f333(f333(f82(x62171),x62172),x62173)),x62174),f333(f333(f82(x62171),x62172),f333(f333(f291(x62171),x62173),x62174)))
% 163.24/162.97 [6218]~P26(x62181)+E(f333(f333(f115(x62181),f333(f333(f115(x62181),x62182),x62183)),x62184),f333(f333(f115(x62181),x62182),f333(f333(f115(x62181),x62183),x62184)))
% 163.24/162.97 [6220]~P101(x62201)+E(f333(f333(f115(x62201),f333(f333(f115(x62201),x62202),x62203)),x62204),f333(f333(f115(x62201),x62202),f333(f333(f115(x62201),x62203),x62204)))
% 163.24/162.97 [6221]~P26(x62211)+E(f333(f333(f106(x62211),f333(f333(f106(x62211),x62212),x62213)),x62214),f333(f333(f106(x62211),x62212),f333(f333(f106(x62211),x62213),x62214)))
% 163.24/162.97 [6223]~P102(x62231)+E(f333(f333(f106(x62231),f333(f333(f106(x62231),x62232),x62233)),x62234),f333(f333(f106(x62231),x62232),f333(f333(f106(x62231),x62233),x62234)))
% 163.24/162.97 [6224]~P72(x62241)+E(f333(f333(f81(x62241),f333(f333(f81(x62241),x62242),x62243)),x62244),f333(f333(f81(x62241),x62242),f333(f333(f81(x62241),x62243),x62244)))
% 163.24/162.97 [6225]~P115(x62251)+E(f333(f333(f81(x62251),f333(f333(f81(x62251),x62252),x62253)),x62254),f333(f333(f81(x62251),x62252),f333(f333(f81(x62251),x62253),x62254)))
% 163.24/162.97 [6226]~P115(x62261)+E(f333(f333(f82(x62261),f333(f333(f82(x62261),x62262),x62263)),x62264),f333(f333(f82(x62261),x62262),f333(f333(f82(x62261),x62263),x62264)))
% 163.24/162.97 [6227]~P73(x62271)+E(f333(f333(f82(x62271),f333(f333(f82(x62271),x62272),x62273)),x62274),f333(f333(f82(x62271),x62272),f333(f333(f82(x62271),x62273),x62274)))
% 163.24/162.97 [6230]~P109(x62301)+E(f333(f333(f248(x62301),f333(f333(f248(x62301),x62302),x62303)),x62304),f333(f333(f248(x62301),x62302),f333(f333(f248(x62301),x62303),x62304)))
% 163.24/162.97 [6232]~P109(x62321)+E(f333(f333(f249(x62321),f333(f333(f249(x62321),x62322),x62323)),x62324),f333(f333(f249(x62321),x62322),f333(f333(f249(x62321),x62323),x62324)))
% 163.24/162.97 [6243]~P60(x62431)+E(f46(x62431,f333(f333(f81(x62431),x62432),f333(f333(f82(x62431),x62433),x62434)),x62434),f46(x62431,x62432,x62434))
% 163.24/162.97 [6244]~P60(x62441)+E(f46(x62441,f333(f333(f81(x62441),x62442),f333(f333(f82(x62441),x62443),x62444)),x62443),f46(x62441,x62442,x62443))
% 163.24/162.97 [6375]E(f333(f333(f166(x63751),f333(f333(f174(x63751),x63752),x63753)),x63754),f333(f333(f166(x63751),x63753),x63754))+~P24(f333(f333(f251(a880),x63754),x63752))
% 163.24/162.97 [6545]~P115(x65451)+E(f333(f333(f81(x65451),f333(f333(f81(x65451),x65452),x65453)),x65454),f333(f333(f81(x65451),f333(f333(f81(x65451),x65452),x65454)),x65453))
% 163.24/162.97 [6546]~P115(x65461)+E(f333(f333(f82(x65461),f333(f333(f82(x65461),x65462),x65463)),x65464),f333(f333(f82(x65461),f333(f333(f82(x65461),x65462),x65464)),x65463))
% 163.24/162.97 [6606]~P143(x66062)+E(f333(f333(f8(x66061,x66062),f333(f18(x66062,x66061),x66063)),x66064),f333(f333(f82(x66062),f333(f105(x66062),f333(f39(x66061),x66064))),x66063))
% 163.24/162.97 [6769]E(f333(f333(f106(f890(x67691,a874)),f333(f333(f311(x67691),x67692),x67693)),x67694),f333(f333(f106(f890(x67691,a874)),x67693),x67694))+P24(f333(f333(f335(x67691),x67692),x67694))
% 163.24/162.97 [6835]~P99(x68351)+E(f333(f333(f106(x68351),f333(f333(f115(x68351),x68352),x68353)),f333(f333(f115(x68351),x68354),x68353)),f333(f333(f115(x68351),f333(f333(f106(x68351),x68352),x68354)),x68353))
% 163.24/162.97 [6836]~P81(x68361)+E(f333(f333(f248(x68361),f333(f333(f3(x68361),x68362),x68363)),f333(f333(f3(x68361),x68364),x68363)),f333(f333(f3(x68361),f333(f333(f248(x68361),x68362),x68364)),x68363))
% 163.24/162.97 [6837]~P81(x68371)+E(f333(f333(f249(x68371),f333(f333(f3(x68371),x68372),x68373)),f333(f333(f3(x68371),x68374),x68373)),f333(f333(f3(x68371),f333(f333(f249(x68371),x68372),x68374)),x68373))
% 163.24/162.97 [6838]~P99(x68381)+E(f333(f333(f115(x68381),f333(f333(f106(x68381),x68382),x68383)),f333(f333(f106(x68381),x68384),x68383)),f333(f333(f106(x68381),f333(f333(f115(x68381),x68382),x68384)),x68383))
% 163.24/162.97 [6839]~P85(x68391)+E(f333(f333(f248(x68391),f333(f333(f81(x68391),x68392),x68393)),f333(f333(f81(x68391),x68394),x68393)),f333(f333(f81(x68391),f333(f333(f248(x68391),x68392),x68394)),x68393))
% 163.24/162.97 [6840]~P85(x68401)+E(f333(f333(f249(x68401),f333(f333(f81(x68401),x68402),x68403)),f333(f333(f81(x68401),x68404),x68403)),f333(f333(f81(x68401),f333(f333(f249(x68401),x68402),x68404)),x68403))
% 163.24/162.97 [6842]~P116(x68421)+E(f333(f333(f81(x68421),f333(f333(f82(x68421),x68422),x68423)),f333(f333(f82(x68421),x68424),x68423)),f333(f333(f82(x68421),f333(f333(f81(x68421),x68422),x68424)),x68423))
% 163.24/162.97 [6843]~P118(x68431)+E(f333(f333(f3(x68431),f333(f333(f291(x68431),x68432),x68433)),f333(f333(f291(x68431),x68434),x68433)),f333(f333(f291(x68431),f333(f333(f3(x68431),x68432),x68434)),x68433))
% 163.24/162.97 [6844]~P118(x68441)+E(f333(f333(f81(x68441),f333(f333(f291(x68441),x68442),x68443)),f333(f333(f291(x68441),x68444),x68443)),f333(f333(f291(x68441),f333(f333(f81(x68441),x68442),x68444)),x68443))
% 163.24/162.97 [6845]~P115(x68451)+E(f333(f333(f82(x68451),f333(f333(f264(x68451),x68452),x68453)),f333(f333(f264(x68451),x68454),x68453)),f333(f333(f264(x68451),f333(f333(f82(x68451),x68452),x68454)),x68453))
% 163.24/162.97 [6846]~P76(x68461)+E(f333(f333(f82(x68461),f333(f333(f264(x68461),x68462),x68463)),f333(f333(f264(x68461),x68464),x68463)),f333(f333(f264(x68461),f333(f333(f82(x68461),x68462),x68464)),x68463))
% 163.24/162.97 [6847]~P63(x68471)+E(f333(f333(f291(x68471),f333(f333(f264(x68471),x68472),x68473)),f333(f333(f264(x68471),x68474),x68473)),f333(f333(f264(x68471),f333(f333(f291(x68471),x68472),x68474)),x68473))
% 163.24/162.97 [6848]~P109(x68481)+E(f333(f333(f249(x68481),f333(f333(f248(x68481),x68482),x68483)),f333(f333(f248(x68481),x68484),x68483)),f333(f333(f248(x68481),f333(f333(f249(x68481),x68482),x68484)),x68483))
% 163.24/162.97 [6849]~P109(x68491)+E(f333(f333(f248(x68491),f333(f333(f249(x68491),x68492),x68493)),f333(f333(f249(x68491),x68494),x68493)),f333(f333(f249(x68491),f333(f333(f248(x68491),x68492),x68494)),x68493))
% 163.24/162.97 [6850]~P115(x68501)+E(f333(f333(f81(x68501),f333(f333(f82(x68501),x68502),x68503)),f333(f333(f82(x68501),x68504),x68503)),f333(f333(f82(x68501),f333(f333(f81(x68501),x68502),x68504)),x68503))
% 163.24/162.97 [6882]E(f333(f333(f160(x68821,x68822),x68823),x68824),x68822)+~P24(f333(f333(f250(a880),f333(f195(f881(x68821)),x68822)),x68823))
% 163.24/162.97 [6905]~P24(f333(x69053,x69054))+P24(f333(f333(f333(f115(f890(x69051,a874)),x69052),x69053),x69054))
% 163.24/162.97 [6907]~P24(f333(x69072,x69074))+P24(f333(f333(f333(f115(f890(x69071,a874)),x69072),x69073),x69074))
% 163.24/162.97 [6928]E(f333(f333(f166(x69281),f333(f333(f127(x69281),x69282),x69283)),x69284),f333(f333(f166(x69281),x69282),x69284))+~P24(f333(f333(f251(a880),x69284),f333(f195(f881(x69281)),x69282)))
% 163.24/162.97 [6938]E(f333(f333(f3(f890(x69381,a874)),f333(f333(f311(x69381),x69382),x69383)),x69384),f333(f333(f3(f890(x69381,a874)),x69383),x69384))+~P24(f333(f333(f335(x69381),x69382),x69384))
% 163.24/162.97 [6980]~E(f140(a880,f333(f303(a880,x69801),x69802)),f333(f333(f152(a880),x69804),x69803))+E(f140(a880,f333(f303(a880,f333(f333(f81(a880),x69801),f79(a880))),x69802)),x69803)
% 163.24/162.97 [7053]E(x70531,f2(a880))+E(f333(f333(f152(x70532),x70533),f333(f333(f174(x70532),f333(f333(f3(a880),x70531),f79(a880))),x70534)),f333(f333(f174(x70532),x70531),f333(f333(f152(x70532),x70533),x70534)))
% 163.24/162.97 [7152]E(f333(f333(f166(x71521),x71522),f333(f333(f3(a880),x71523),f333(f195(f881(x71521)),x71524))),f333(f333(f166(x71521),f333(f333(f127(x71521),x71524),x71522)),x71523))+P24(f333(f333(f251(a880),x71523),f333(f195(f881(x71521)),x71524)))
% 163.24/162.97 [7182]E(f333(f333(f106(f890(x71821,a874)),x71822),f333(f333(f311(x71821),x71823),x71824)),f333(f333(f311(x71821),x71823),f333(f333(f106(f890(x71821,a874)),x71822),x71824)))+~P24(f333(f333(f335(x71821),x71823),x71822))
% 163.24/162.97 [7217]E(f333(f333(f166(x72171),f333(f333(f160(x72171,x72172),x72173),x72174)),x72173),x72174)+~P24(f333(f333(f251(a880),x72173),f333(f195(f881(x72171)),x72172)))
% 163.24/162.97 [7238]E(x72381,f194(f890(x72382,a874)))+E(f333(f312(f889(x72383,x72382),x72383,f262(x72383,x72382)),f333(f333(f270(x72383,x72382),x72384),f333(f18(f890(x72382,a874),x72383),x72381))),x72384)
% 163.24/162.97 [7239]E(x72391,f194(f890(x72392,a874)))+E(f333(f312(f889(x72392,x72393),x72393,f271(x72392,x72393)),f333(f333(f270(x72392,x72393),x72391),f333(f18(f890(x72393,a874),x72392),x72394))),x72394)
% 163.24/162.97 [7304]E(f333(f333(f3(f890(x73041,a874)),f333(f333(f311(x73041),x73042),x73043)),x73044),f333(f333(f311(x73041),x73042),f333(f333(f3(f890(x73041,a874)),x73043),x73044)))+P24(f333(f333(f335(x73041),x73042),x73044))
% 163.24/162.97 [7329]P24(f333(x73291,x73292))+P24(f333(f333(f333(f333(a203,f33(x73291,x73293)),x73292),x73294),x73292))
% 163.24/162.97 [7336]~E(x73364,f194(f890(x73362,a874)))+E(f333(f312(f889(x73361,x73362),x73361,f262(x73361,x73362)),f333(f333(f270(x73361,x73362),x73363),f333(f18(f890(x73362,a874),x73361),x73364))),f194(f890(x73361,a874)))
% 163.24/162.97 [7337]~E(x73373,f194(f890(x73371,a874)))+E(f333(f312(f889(x73371,x73372),x73372,f271(x73371,x73372)),f333(f333(f270(x73371,x73372),x73373),f333(f18(f890(x73372,a874),x73371),x73374))),f194(f890(x73372,a874)))
% 163.24/162.97 [7392]~P24(f333(f333(f335(x73921),x73922),x73924))+P24(f333(f333(f335(x73921),x73922),f333(f333(f115(f890(x73921,a874)),x73923),x73924)))
% 163.24/162.97 [7395]~P24(f333(f333(f335(x73951),x73952),x73953))+P24(f333(f333(f335(x73951),x73952),f333(f333(f115(f890(x73951,a874)),x73953),x73954)))
% 163.24/162.97 [7414]E(f333(f333(f106(f890(x74141,a874)),f333(f333(f311(x74141),x74142),x74143)),x74144),f333(f333(f311(x74141),x74142),f333(f333(f106(f890(x74141,a874)),x74143),x74144)))+~P24(f333(f333(f335(x74141),x74142),x74144))
% 163.24/162.97 [7684]P24(f333(x76841,x76842))+~P24(f333(f333(f333(f106(f890(x76843,a874)),x76844),x76841),x76842))
% 163.24/162.97 [7685]P24(f333(x76851,x76852))+~P24(f333(f333(f333(f106(f890(x76853,a874)),x76851),x76854),x76852))
% 163.24/162.97 [7688]E(f333(f333(f8(x76881,a880),x76882),f333(f333(f3(f890(x76881,a874)),x76883),f333(f333(f311(x76881),x76884),f194(f890(x76881,a874))))),f333(f333(f8(x76881,a880),x76882),x76883))+P24(f333(f333(f335(x76881),x76884),x76883))
% 163.24/162.97 [7694]~P69(x76941)+E(f333(f167(x76941),f333(f333(f155(a880,x76941),x76942),f140(a880,f333(f303(a880,x76943),x76944)))),f333(f333(f8(a880,x76941),x76942),f333(f173(a880),f140(a880,f333(f303(a880,x76943),x76944)))))
% 163.24/162.97 [7695]~P69(x76951)+E(f333(f333(f8(a880,x76951),x76952),f333(f173(a880),f140(a880,f333(f303(a880,x76953),x76954)))),f333(f167(x76951),f333(f333(f155(a880,x76951),x76952),f140(a880,f333(f303(a880,x76953),x76954)))))
% 163.24/162.97 [7809]~E(x78093,x78094)+P24(f333(f64(x78091,x78092,f333(f333(f311(x78091),x78093),f194(f890(x78091,a874)))),x78094))
% 163.24/162.97 [7902]P24(f333(f333(f335(x79021),x79022),f333(f173(x79021),x79023)))+~P24(f333(f333(f335(x79021),x79022),f333(f173(x79021),f333(f333(f174(x79021),x79024),x79023))))
% 163.24/162.97 [7903]P24(f333(f333(f335(x79031),x79032),f333(f173(x79031),x79033)))+~P24(f333(f333(f335(x79031),x79032),f333(f173(x79031),f333(f333(f139(x79031),x79034),x79033))))
% 163.24/162.97 [7970]P24(f333(f333(f335(x79701),x79702),x79703))+~P24(f333(f333(f335(x79701),x79702),f333(f333(f3(f890(x79701,a874)),x79703),x79704)))
% 163.24/162.97 [7972]P24(f333(f333(f335(x79721),x79722),x79723))+~P24(f333(f333(f335(x79721),x79722),f333(f333(f106(f890(x79721,a874)),x79724),x79723)))
% 163.24/162.97 [7975]P24(f333(f333(f335(x79751),x79752),x79753))+~P24(f333(f333(f335(x79751),x79752),f333(f333(f106(f890(x79751,a874)),x79753),x79754)))
% 163.24/162.97 [7993]E(f333(f333(f127(x79931),f333(f333(f174(x79931),x79932),x79933)),f333(f333(f152(x79931),x79934),f333(f333(f139(x79931),f333(a117,x79932)),x79933))),f333(f333(f160(x79931,x79933),x79932),x79934))+~P24(f333(f333(f251(a880),x79932),f333(f195(f881(x79931)),x79933)))
% 163.24/162.97 [8018]P24(f333(f333(f335(x80181),x80182),x80183))+~P24(f333(f333(f250(f890(x80181,a874)),f333(f333(f311(x80181),x80182),x80184)),x80183))
% 163.24/162.97 [8057]~P24(f333(f333(f335(x80571),x80572),x80573))+~P24(f333(f333(f335(x80571),x80572),f333(f333(f3(f890(x80571,a874)),x80574),x80573)))
% 163.24/162.97 [8089]~P24(f333(f333(f251(a880),x80894),f333(f195(f881(x80891)),x80893)))+P24(f333(f333(f335(x80891),x80892),f333(f173(x80891),f333(f333(f160(x80891,x80893),x80894),x80892))))
% 163.24/162.97 [8146]E(f333(f333(f166(x81461),f333(f333(f139(x81461),x81462),x81463)),x81464),f333(f333(f166(x81461),x81463),f333(f333(f81(a880),x81462),x81464)))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x81462),x81464)),f333(f195(f881(x81461)),x81463)))
% 163.24/162.97 [8156]~P143(x81562)+E(f333(f333(f8(x81561,x81562),f333(f333(f10(a880,x81562,x81561),f105(x81562)),x81563)),x81564),f333(f105(x81562),f333(f333(f8(x81561,a880),x81563),x81564)))
% 163.24/162.97 [8157]~P140(x81572)+E(f333(f333(f8(x81571,x81572),f333(f333(f10(a1,x81572,x81571),f107(x81572)),x81573)),x81574),f333(f107(x81572),f333(f333(f8(x81571,a1),x81573),x81574)))
% 163.24/162.97 [8209]~P66(x82092)+E(f333(f333(f11(x82091,x82092),f333(f333(f10(x82092,x82092,x82091),f76(x82092)),x82093)),x82094),f333(f76(x82092),f333(f333(f11(x82091,x82092),x82093),x82094)))
% 163.24/162.97 [8210]~P68(x82102)+E(f333(f333(f8(x82101,x82102),f333(f333(f10(x82102,x82102,x82101),f80(x82102)),x82103)),x82104),f333(f80(x82102),f333(f333(f8(x82101,x82102),x82103),x82104)))
% 163.24/162.97 [8212]E(f333(f333(f8(x82121,a880),x82122),f333(f333(f3(f890(x82121,a874)),x82123),f333(f333(f311(x82121),x82124),f194(f890(x82121,a874))))),f333(f333(f3(a880),f333(f333(f8(x82121,a880),x82122),x82123)),f333(x82122,x82124)))+~P24(f333(f333(f335(x82121),x82124),x82123))
% 163.24/162.97 [8231]P24(f333(f333(f250(f890(x82311,a874)),x82312),x82313))+~P24(f333(f333(f250(f890(x82311,a874)),f333(f333(f311(x82311),x82314),x82312)),x82313))
% 163.24/162.97 [8435]E(f333(a117,f869(x84351,x84352,x84353,x84354)),x84352)+~P24(f333(f333(f333(f333(a203,f333(a26,x84354)),x84353),x84352),x84351))
% 163.24/162.97 [8437]E(f333(f333(f178(x84371,x84372),x84373),x84374),f197(x84372))+P24(f333(f333(f335(x84371),x84374),f333(f312(f889(x84371,x84372),x84371,f262(x84371,x84372)),f333(f173(f889(x84371,x84372)),x84373))))
% 163.24/162.97 [8439]P40(x84391,x84392)+~P40(x84391,f333(f333(f311(f889(x84391,x84391)),f333(f333(f263(x84391,x84391),x84393),x84394)),x84392))
% 163.24/162.97 [8440]P57(x84401,x84402)+~P57(x84401,f333(f333(f311(f889(x84401,x84401)),f333(f333(f263(x84401,x84401),x84403),x84404)),x84402))
% 163.24/162.97 [8449]~P109(x84491)+E(f333(f333(f149(x84491,x84491,f7(x84491)),x84492),f333(f333(f149(x84491,x84491,f7(x84491)),x84493),x84494)),f333(f333(f149(x84491,x84491,f7(x84491)),x84493),f333(f333(f149(x84491,x84491,f7(x84491)),x84492),x84494)))
% 163.24/162.97 [8459]E(x84591,x84592)+~P24(f333(f64(x84593,x84594,f333(f333(f311(x84593),x84591),f194(f890(x84593,a874)))),x84592))
% 163.24/162.97 [8469]E(f333(f333(f127(x84691),f333(f333(f174(x84691),x84692),x84693)),f333(f333(f174(x84691),x84694),f333(f333(f139(x84691),x84692),x84693))),f333(f333(f174(x84691),f333(f333(f81(a880),x84692),x84694)),x84693))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x84692),x84694)),f333(f195(f881(x84691)),x84693)))
% 163.24/162.97 [8506]P24(f333(f63(x85061),x85062))+~E(x85062,f333(f312(a880,x85061,x85063),f333(f255(a880),f333(f333(f9(a880,a880,a874),f251(a880)),x85064))))
% 163.24/162.97 [8531]~P91(x85311)+E(f333(f143(x85311,x85311,f81(x85311),f333(f333(f81(x85311),x85312),x85313)),x85314),f333(f333(f81(x85311),x85312),f333(f143(x85311,x85311,f81(x85311),x85313),x85314)))
% 163.24/162.97 [8564]P24(f333(f333(f250(f890(x85641,a874)),f333(f261(x85641,x85642),x85643)),f333(f261(x85641,x85642),x85644)))+~P24(f333(f333(f250(f890(f889(x85641,x85642),a874)),x85643),x85644))
% 163.24/162.97 [8577]~P24(f333(f333(f250(a880),x85772),x85774))+P24(f333(f333(f250(f890(x85771,a874)),f333(f173(x85771),f333(f333(f174(x85771),x85772),x85773))),f333(f173(x85771),f333(f333(f174(x85771),x85774),x85773))))
% 163.24/162.97 [8578]~P24(f333(f333(f250(a880),x85784),x85782))+P24(f333(f333(f250(f890(x85781,a874)),f333(f173(x85781),f333(f333(f139(x85781),x85782),x85783))),f333(f173(x85781),f333(f333(f139(x85781),x85784),x85783))))
% 163.24/162.97 [8631]~P24(f333(f63(x86311),f333(f333(f3(f890(x86311,a874)),x86312),x86314)))+P24(f333(f63(x86311),f333(f333(f3(f890(x86311,a874)),x86312),f333(f333(f311(x86311),x86313),x86314))))
% 163.24/162.97 [8660]P24(f333(f333(f335(f889(x86601,x86601)),x86602),f309(x86601,x86603)))+~P24(f333(f333(f335(f889(x86601,x86601)),x86602),f333(f333(f189(f889(x86601,x86601),a874),x86604),x86603)))
% 163.24/162.97 [8730]~P24(f333(f63(x87301),f333(f333(f3(f890(x87301,a874)),x87302),f333(f333(f311(x87301),x87304),x87303))))+P24(f333(f63(x87301),f333(f333(f3(f890(x87301,a874)),x87302),x87303)))
% 163.24/162.97 [8889]~E(f333(f333(f178(x88891,x88892),x88893),x88894),f197(x88892))+~P24(f333(f333(f335(x88891),x88894),f333(f312(f889(x88891,x88892),x88891,f262(x88891,x88892)),f333(f173(f889(x88891,x88892)),x88893))))
% 163.24/162.97 [8954]~P26(x89541)+P24(f333(f333(f250(x89541),f333(f333(f115(x89541),x89542),f333(f333(f106(x89541),x89543),x89544))),f333(f333(f106(x89541),f333(f333(f115(x89541),x89542),x89543)),f333(f333(f115(x89541),x89542),x89544))))
% 163.24/162.97 [8955]~P109(x89551)+P24(f333(f333(f250(x89551),f333(f333(f249(x89551),x89552),f333(f333(f248(x89551),x89553),x89554))),f333(f333(f248(x89551),f333(f333(f249(x89551),x89552),x89553)),f333(f333(f249(x89551),x89552),x89554))))
% 163.24/162.97 [9085]E(x90851,x90852)+~P24(f333(f333(f335(f889(x90853,x90853)),f333(f333(f263(x90853,x90853),x90851),x90852)),f333(f173(f889(x90853,x90853)),f333(f333(f182(x90853,x90853),x90854),x90854))))
% 163.24/162.97 [9120]~P24(f333(f333(f335(f889(x91201,x91201)),f333(f333(f263(x91201,x91201),x91203),x91202)),f309(x91201,x91204)))+~P40(x91201,f333(f333(f311(f889(x91201,x91201)),f333(f333(f263(x91201,x91201),x91202),x91203)),x91204))
% 163.24/162.97 [9121]~P24(f333(f333(f335(f889(x91211,x91211)),f333(f333(f263(x91211,x91211),x91213),x91212)),f309(x91211,x91214)))+~P57(x91211,f333(f333(f311(f889(x91211,x91211)),f333(f333(f263(x91211,x91211),x91212),x91213)),x91214))
% 163.24/162.97 [9133]E(x91331,x91332)+E(f333(f137(x91333,f333(f333(f10(a874,a874,x91333),a328),f333(a330,x91331))),f333(f333(f152(x91333),x91332),x91334)),f333(f333(f152(x91333),x91332),f333(f137(x91333,f333(f333(f10(a874,a874,x91333),a328),f333(a330,x91331))),x91334)))
% 163.24/162.97 [9179]~P26(x91791)+P24(f333(f333(f250(x91791),f333(f333(f115(x91791),f333(f333(f106(x91791),x91792),x91793)),f333(f333(f106(x91791),x91792),x91794))),f333(f333(f106(x91791),x91792),f333(f333(f115(x91791),x91793),x91794))))
% 163.24/162.97 [9180]~P109(x91801)+P24(f333(f333(f250(x91801),f333(f333(f249(x91801),f333(f333(f248(x91801),x91802),x91803)),f333(f333(f248(x91801),x91802),x91804))),f333(f333(f248(x91801),x91802),f333(f333(f249(x91801),x91803),x91804))))
% 163.24/162.97 [9252]~E(f333(f312(x92522,x92521,x92523),f258(f890(x92522,a874))),f258(f890(x92521,a874)))+P24(f333(f333(f250(f890(x92521,a874)),f333(f80(f890(x92521,a874)),f333(f312(x92522,x92521,x92523),x92524))),f333(f312(x92522,x92521,x92523),f333(f80(f890(x92522,a874)),x92524))))
% 163.24/162.97 [9333]P24(f333(f333(f333(f333(a203,f333(f246(a875),f333(a28,x93331))),x93332),f869(x93333,x93334,x93332,x93331)),x93333))+~P24(f333(f333(f333(f333(a203,f333(a26,x93331)),x93332),x93334),x93333))
% 163.24/162.97 [9591]P24(f333(f333(f335(f889(x95911,x95911)),f333(f333(f263(x95911,x95911),x95912),x95913)),f333(f288(x95911,x95911),f333(f333(f290(x95911,x95911,x95911),x95914),f309(x95911,x95914)))))+~P24(f333(f333(f335(f889(x95911,x95911)),f333(f333(f263(x95911,x95911),x95912),x95913)),f333(f333(f290(x95911,x95911,x95911),f333(f288(x95911,x95911),x95914)),f309(x95911,f333(f288(x95911,x95911),x95914)))))
% 163.24/162.97 [9593]~P24(f333(f333(f335(f889(x95931,x95931)),f333(f333(f263(x95931,x95931),x95932),x95933)),f333(f288(x95931,x95931),f333(f333(f290(x95931,x95931,x95931),x95934),f309(x95931,x95934)))))+P24(f333(f333(f335(f889(x95931,x95931)),f333(f333(f263(x95931,x95931),x95932),x95933)),f333(f333(f290(x95931,x95931,x95931),f333(f288(x95931,x95931),x95934)),f309(x95931,f333(f288(x95931,x95931),x95934)))))
% 163.24/162.97 [9614]~P24(f333(f333(f335(x96142),x96144),f333(f259(x96141,x96142),x96143)))+P24(f333(f333(f335(f889(x96141,x96142)),f333(f333(f263(x96141,x96142),f710(x96143,x96141,x96144,x96142)),x96144)),x96143))
% 163.24/162.97 [9615]~P24(f333(f333(f335(x96152),x96154),f333(f259(x96151,x96152),x96153)))+P24(f333(f333(f335(f889(x96151,x96152)),f333(f333(f263(x96151,x96152),f711(x96153,x96151,x96154,x96152)),x96154)),x96153))
% 163.24/162.97 [9646]~P24(f333(f333(f335(x96461),x96464),f333(f333(f115(f890(x96461,a874)),x96462),x96463)))+P24(f333(f333(f333(f115(f890(x96461,a874)),f333(f333(f9(x96461,f890(x96461,a874),a874),f335(x96461)),x96462)),f333(f333(f9(x96461,f890(x96461,a874),a874),f335(x96461)),x96463)),x96464))
% 163.24/162.97 [9647]~P24(f333(f333(f335(x96471),x96474),f333(f333(f106(f890(x96471,a874)),x96472),x96473)))+P24(f333(f333(f333(f106(f890(x96471,a874)),f333(f333(f9(x96471,f890(x96471,a874),a874),f335(x96471)),x96472)),f333(f333(f9(x96471,f890(x96471,a874),a874),f335(x96471)),x96473)),x96474))
% 163.24/162.97 [9722]~P24(f333(f333(f335(f889(x97221,x97221)),f333(f333(f263(x97221,x97221),x97224),x97223)),f333(f333(f290(x97221,x97221,x97221),x97222),f309(x97221,x97222))))+P24(f333(f333(f335(f889(x97221,x97221)),f333(f333(f263(x97221,x97221),f791(x97222,x97223,x97224,x97221)),x97223)),x97222))
% 163.24/162.97 [9778]P24(f333(f333(f335(x97781),x97782),f333(f333(f115(f890(x97781,a874)),x97783),x97784)))+~P24(f333(f333(f333(f115(f890(x97781,a874)),f333(f333(f9(x97781,f890(x97781,a874),a874),f335(x97781)),x97783)),f333(f333(f9(x97781,f890(x97781,a874),a874),f335(x97781)),x97784)),x97782))
% 163.24/162.97 [9779]P24(f333(f333(f335(x97791),x97792),f333(f333(f106(f890(x97791,a874)),x97793),x97794)))+~P24(f333(f333(f333(f106(f890(x97791,a874)),f333(f333(f9(x97791,f890(x97791,a874),a874),f335(x97791)),x97793)),f333(f333(f9(x97791,f890(x97791,a874),a874),f335(x97791)),x97794)),x97792))
% 163.24/162.97 [10036]P35(x100361,f333(f333(f9(x100361,f890(f889(x100361,x100361),a874),f890(x100361,a874)),f333(f333(f10(f890(x100361,f890(f890(f889(x100361,x100361),a874),a874)),f890(f890(f889(x100361,x100361),a874),f890(x100361,a874)),x100361),f9(x100361,f890(f889(x100361,x100361),a874),a874)),f333(f333(f10(f890(x100361,f889(x100361,x100361)),f890(x100361,f890(f890(f889(x100361,x100361),a874),a874)),x100361),f333(f10(f889(x100361,x100361),f890(f890(f889(x100361,x100361),a874),a874),x100361),f335(f889(x100361,x100361)))),f263(x100361,x100361)))),x100362),x100363,x100364)+~P24(f333(f333(f335(f889(f881(x100361),f881(x100361))),f333(f333(f263(f881(x100361),f881(x100361)),x100363),x100364)),f159(x100361,x100362)))
% 163.24/162.97 [10040]P58(x100401,f333(f333(f9(x100401,f890(f889(x100401,x100401),a874),f890(x100401,a874)),f333(f333(f10(f890(x100401,f890(f890(f889(x100401,x100401),a874),a874)),f890(f890(f889(x100401,x100401),a874),f890(x100401,a874)),x100401),f9(x100401,f890(f889(x100401,x100401),a874),a874)),f333(f333(f10(f890(x100401,f889(x100401,x100401)),f890(x100401,f890(f890(f889(x100401,x100401),a874),a874)),x100401),f333(f10(f889(x100401,x100401),f890(f890(f889(x100401,x100401),a874),a874),x100401),f335(f889(x100401,x100401)))),f263(x100401,x100401)))),x100402),x100403,x100404)+~P24(f333(f333(f335(f889(f890(x100401,a874),f890(x100401,a874))),f333(f333(f263(f890(x100401,a874),f890(x100401,a874)),x100403),x100404)),f325(x100401,x100402)))
% 163.24/162.97 [10065]E(x100651,x100652)+~E(f333(f333(f9(x100653,f890(f889(x100653,x100654),a874),f890(x100654,a874)),f333(f333(f10(f890(x100654,f890(f890(f889(x100653,x100654),a874),a874)),f890(f890(f889(x100653,x100654),a874),f890(x100654,a874)),x100653),f9(x100654,f890(f889(x100653,x100654),a874),a874)),f333(f333(f10(f890(x100654,f889(x100653,x100654)),f890(x100654,f890(f890(f889(x100653,x100654),a874),a874)),x100653),f333(f10(f889(x100653,x100654),f890(f890(f889(x100653,x100654),a874),a874),x100654),f335(f889(x100653,x100654)))),f263(x100653,x100654)))),x100651),f333(f333(f9(x100653,f890(f889(x100653,x100654),a874),f890(x100654,a874)),f333(f333(f10(f890(x100654,f890(f890(f889(x100653,x100654),a874),a874)),f890(f890(f889(x100653,x100654),a874),f890(x100654,a874)),x100653),f9(x100654,f890(f889(x100653,x100654),a874),a874)),f333(f333(f10(f890(x100654,f889(x100653,x100654)),f890(x100654,f890(f890(f889(x100653,x100654),a874),a874)),x100653),f333(f10(f889(x100653,x100654),f890(f890(f889(x100653,x100654),a874),a874),x100654),f335(f889(x100653,x100654)))),f263(x100653,x100654)))),x100652))
% 163.24/162.97 [10069]~P35(x100691,f333(f333(f9(x100691,f890(f889(x100691,x100691),a874),f890(x100691,a874)),f333(f333(f10(f890(x100691,f890(f890(f889(x100691,x100691),a874),a874)),f890(f890(f889(x100691,x100691),a874),f890(x100691,a874)),x100691),f9(x100691,f890(f889(x100691,x100691),a874),a874)),f333(f333(f10(f890(x100691,f889(x100691,x100691)),f890(x100691,f890(f890(f889(x100691,x100691),a874),a874)),x100691),f333(f10(f889(x100691,x100691),f890(f890(f889(x100691,x100691),a874),a874),x100691),f335(f889(x100691,x100691)))),f263(x100691,x100691)))),x100694),x100692,x100693)+P24(f333(f333(f335(f889(f881(x100691),f881(x100691))),f333(f333(f263(f881(x100691),f881(x100691)),x100692),x100693)),f159(x100691,x100694)))
% 163.24/162.97 [10070]~P58(x100701,f333(f333(f9(x100701,f890(f889(x100701,x100701),a874),f890(x100701,a874)),f333(f333(f10(f890(x100701,f890(f890(f889(x100701,x100701),a874),a874)),f890(f890(f889(x100701,x100701),a874),f890(x100701,a874)),x100701),f9(x100701,f890(f889(x100701,x100701),a874),a874)),f333(f333(f10(f890(x100701,f889(x100701,x100701)),f890(x100701,f890(f890(f889(x100701,x100701),a874),a874)),x100701),f333(f10(f889(x100701,x100701),f890(f890(f889(x100701,x100701),a874),a874),x100701),f335(f889(x100701,x100701)))),f263(x100701,x100701)))),x100704),x100702,x100703)+P24(f333(f333(f335(f889(f890(x100701,a874),f890(x100701,a874))),f333(f333(f263(f890(x100701,a874),f890(x100701,a874)),x100702),x100703)),f325(x100701,x100704)))
% 163.24/162.97 [7466]~P94(x74661)+E(f333(f333(f81(x74661),f333(f108(x74661),x74662)),f333(f333(f3(x74661),f333(f108(x74661),x74663)),x74664)),f333(f333(f3(x74661),f333(f108(x74661),f333(f333(f81(a1),x74662),x74663))),x74664))
% 163.24/162.97 [7467]~P94(x74671)+E(f333(f333(f81(x74671),f333(f108(x74671),x74672)),f333(f333(f81(x74671),f333(f108(x74671),x74673)),x74674)),f333(f333(f81(x74671),f333(f108(x74671),f333(f333(f81(a1),x74672),x74673))),x74674))
% 163.24/162.97 [7468]~P94(x74681)+E(f333(f333(f82(x74681),f333(f108(x74681),x74682)),f333(f333(f82(x74681),f333(f108(x74681),x74683)),x74684)),f333(f333(f82(x74681),f333(f108(x74681),f333(f333(f82(a1),x74682),x74683))),x74684))
% 163.24/162.97 [7510]~P143(x75101)+E(f333(f167(x75101),f333(f333(f155(x75102,x75101),f333(f18(x75101,x75102),x75103)),x75104)),f333(f333(f82(x75101),f333(f105(x75101),f333(f195(f881(x75102)),x75104))),x75103))
% 163.24/162.97 [7739]E(f333(f279(x77391,f333(f333(f152(f889(a104,x77391)),x77392),x77393)),x77394),f333(f271(a104,x77391),x77392))+~P24(f333(f333(f251(a104),x77394),f333(f262(a104,x77391),x77392)))
% 163.24/162.97 [7787]~P94(x77871)+E(f333(f333(f81(x77871),f333(f108(x77871),x77872)),f333(f333(f3(x77871),x77873),f333(f108(x77871),x77874))),f333(f333(f81(x77871),f333(f108(x77871),f333(f333(f81(a1),x77872),f333(f80(a1),x77874)))),x77873))
% 163.24/162.97 [7910]E(f333(f279(x79101,x79102),f333(f333(f3(a104),x79103),f333(f262(a104,x79101),x79104))),f333(f279(x79101,f333(f333(f152(f889(a104,x79101)),x79104),x79102)),x79103))+P24(f333(f333(f251(a104),x79103),f333(f262(a104,x79101),x79104)))
% 163.24/162.97 [8354]~P24(f333(f333(f335(x83541),x83542),f333(f173(x83541),f119(x83541,x83544))))+P24(f333(f333(f335(x83541),x83542),f333(f173(x83541),f119(x83541,f333(f333(f127(x83541),x83543),x83544)))))
% 163.24/162.97 [8355]~P24(f333(f333(f335(x83551),x83552),f333(f173(x83551),f119(x83551,x83553))))+P24(f333(f333(f335(x83551),x83552),f333(f173(x83551),f119(x83551,f333(f333(f127(x83551),x83553),x83554)))))
% 163.24/162.97 [8376]E(f333(f333(f115(f890(x83761,a874)),f333(f333(f106(f890(x83761,a874)),x83762),x83763)),x83764),f333(f333(f106(f890(x83761,a874)),x83762),f333(f333(f115(f890(x83761,a874)),x83763),x83764)))+~P24(f333(f333(f250(f890(x83761,a874)),x83764),x83762))
% 163.24/162.97 [8671]~E(f333(f333(f115(f890(x86711,a874)),f333(f333(f106(f890(x86711,a874)),x86713),x86714)),x86712),f333(f333(f106(f890(x86711,a874)),x86713),f333(f333(f115(f890(x86711,a874)),x86714),x86712)))+P24(f333(f333(f250(f890(x86711,a874)),x86712),x86713))
% 163.24/162.97 [8960]~P24(f333(f333(f250(f890(x89601,a874)),x89602),f333(f333(f115(f890(x89601,a874)),x89603),x89604)))+P24(f333(f333(f250(f890(x89601,a874)),f333(f333(f3(f890(x89601,a874)),x89602),x89603)),x89604))
% 163.24/162.97 [9018]~P24(f333(f333(f333(f333(a203,f333(a26,x90181)),x90182),f333(a117,x90183)),x90184))+P24(f333(f333(f333(f333(a203,f333(f246(a875),f333(a28,x90181))),x90182),x90183),x90184))
% 163.24/162.97 [9064]P24(f333(f333(f250(f890(x90641,a874)),x90642),f333(f333(f115(f890(x90641,a874)),x90643),x90644)))+~P24(f333(f333(f250(f890(x90641,a874)),f333(f333(f3(f890(x90641,a874)),x90642),x90643)),x90644))
% 163.24/162.97 [9119]P24(f333(f333(f333(f333(a203,f333(a26,x91191)),x91192),f333(a117,x91193)),x91194))+~P24(f333(f333(f333(f333(a203,f333(f246(a875),f333(a28,x91191))),x91192),x91193),x91194))
% 163.24/162.97 [9160]~P87(x91601)+E(f333(f76(x91601),f333(f333(f8(x91602,x91601),f333(f333(f10(x91601,x91601,x91602),f76(x91601)),x91603)),x91604)),f333(f333(f8(x91602,x91601),f333(f333(f10(x91601,x91601,x91602),f76(x91601)),x91603)),x91604))
% 163.24/162.97 [9331]~P87(x93311)+P24(f333(f333(f250(x93311),f2(x93311)),f333(f333(f8(x93312,x93311),f333(f333(f10(x93311,x93311,x93312),f76(x93311)),x93313)),x93314)))
% 163.24/162.97 [9336]~P68(x93361)+E(f333(f167(x93361),f333(f333(f155(x93362,x93361),f333(f74(x93361,x93361,x93362,f80(x93361)),x93363)),x93364)),f333(f80(x93361),f333(f167(x93361),f333(f333(f155(x93362,x93361),x93363),x93364))))
% 163.24/162.97 [9466]~P87(x94661)+P24(f333(f333(f250(x94661),f333(f76(x94661),f333(f333(f8(x94662,x94661),x94663),x94664))),f333(f333(f8(x94662,x94661),f333(f333(f10(x94661,x94661,x94662),f76(x94661)),x94663)),x94664)))
% 163.24/162.97 [9510]~E(f333(f333(f81(a880),x95101),x95104),f333(f333(f81(a880),x95103),x95102))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x95101),x95102)),f333(f333(f263(a880,a880),x95103),x95104))),a113))
% 163.24/162.97 [9511]~P24(f333(f333(f251(a880),x95111),x95113))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x95111),x95112)),f333(f333(f263(a880,a880),x95113),x95114))),a36))
% 163.24/162.97 [9512]~P24(f333(f333(f251(a880),x95121),x95123))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x95121),x95122)),f333(f333(f263(a880,a880),x95123),x95124))),a71))
% 163.24/162.97 [9669]E(f333(f333(f81(a880),x96691),x96692),f333(f333(f81(a880),x96693),x96694))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x96691),x96694)),f333(f333(f263(a880,a880),x96693),x96692))),a113))
% 163.24/162.97 [9696]E(f333(f333(f166(x96961),f333(f333(f139(x96961),f333(f195(f881(x96961)),f177(x96961,x96962,x96963))),x96963)),x96964),f333(f333(f166(x96961),x96963),f333(f333(f81(a880),x96964),f333(f195(f881(x96961)),f177(x96961,x96962,x96963)))))+~P24(f333(f333(f251(a880),x96964),f333(f195(f881(x96961)),f333(f333(f139(x96961),f333(f195(f881(x96961)),f177(x96961,x96962,x96963))),x96963))))
% 163.24/162.97 [9713]~P24(f333(f333(f335(x97132),x97134),f333(f333(f43(x97131,f890(x97132,a874)),f258(f890(x97131,a874))),x97133)))+P24(f333(f333(f333(f43(x97131,f890(x97132,a874)),f258(f890(x97131,a874))),f333(f333(f10(f890(x97132,a874),f890(x97132,a874),x97131),f333(f9(x97132,f890(x97132,a874),a874),f335(x97132))),x97133)),x97134))
% 163.24/162.97 [9714]~P24(f333(f333(f335(x97142),x97144),f333(f333(f44(x97141,f890(x97142,a874)),f258(f890(x97141,a874))),x97143)))+P24(f333(f333(f333(f44(x97141,f890(x97142,a874)),f258(f890(x97141,a874))),f333(f333(f10(f890(x97142,a874),f890(x97142,a874),x97141),f333(f9(x97142,f890(x97142,a874),a874),f335(x97142))),x97143)),x97144))
% 163.24/162.97 [9807]~P24(f333(f50(x98071,x98072),f333(f333(f263(a1,a1),x98074),x98073)))+P24(f333(f50(f333(f80(a1),x98071),x98072),f333(f333(f263(a1,a1),f333(f333(f333(f101(a1),f333(f333(a330,x98073),f2(a1))),f333(f80(a1),x98074)),f333(f333(f3(a1),f333(f80(a1),x98074)),f79(a1)))),f333(f333(f333(f101(a1),f333(f333(a330,x98073),f2(a1))),f2(a1)),f333(f333(f3(a1),x98072),x98073)))))
% 163.24/162.97 [9815]P24(f333(f333(f335(x98151),x98152),f333(f333(f43(x98153,f890(x98151,a874)),f258(f890(x98153,a874))),x98154)))+~P24(f333(f333(f333(f43(x98153,f890(x98151,a874)),f258(f890(x98153,a874))),f333(f333(f10(f890(x98151,a874),f890(x98151,a874),x98153),f333(f9(x98151,f890(x98151,a874),a874),f335(x98151))),x98154)),x98152))
% 163.24/162.97 [9816]P24(f333(f333(f335(x98161),x98162),f333(f333(f44(x98163,f890(x98161,a874)),f258(f890(x98163,a874))),x98164)))+~P24(f333(f333(f333(f44(x98163,f890(x98161,a874)),f258(f890(x98163,a874))),f333(f333(f10(f890(x98161,a874),f890(x98161,a874),x98163),f333(f9(x98161,f890(x98161,a874),a874),f335(x98161))),x98164)),x98162))
% 163.24/162.97 [9827]E(f333(f333(f44(a880,f890(x98271,a874)),f258(f890(a880,a874))),x98272),f333(f333(f44(a880,f890(x98271,a874)),f258(f890(a880,a874))),x98273))+~E(f333(f333(f44(a880,f890(x98271,a874)),f333(f303(a880,f2(a880)),f551(x98272,x98274,x98273,x98271))),x98273),f333(f333(f44(a880,f890(x98271,a874)),f333(f303(a880,f2(a880)),f333(f333(f81(a880),f551(x98272,x98274,x98273,x98271)),x98274))),x98272))
% 163.24/162.97 [10155]~P24(f333(f333(f250(f890(f889(x101551,x101552),a874)),x101553),x101554))+P24(f333(f333(f250(f890(x101551,f890(x101552,a874))),f333(f333(f9(x101551,f890(f889(x101551,x101552),a874),f890(x101552,a874)),f333(f333(f10(f890(x101552,f890(f890(f889(x101551,x101552),a874),a874)),f890(f890(f889(x101551,x101552),a874),f890(x101552,a874)),x101551),f9(x101552,f890(f889(x101551,x101552),a874),a874)),f333(f333(f10(f890(x101552,f889(x101551,x101552)),f890(x101552,f890(f890(f889(x101551,x101552),a874),a874)),x101551),f333(f10(f889(x101551,x101552),f890(f890(f889(x101551,x101552),a874),a874),x101552),f335(f889(x101551,x101552)))),f263(x101551,x101552)))),x101553)),f333(f333(f9(x101551,f890(f889(x101551,x101552),a874),f890(x101552,a874)),f333(f333(f10(f890(x101552,f890(f890(f889(x101551,x101552),a874),a874)),f890(f890(f889(x101551,x101552),a874),f890(x101552,a874)),x101551),f9(x101552,f890(f889(x101551,x101552),a874),a874)),f333(f333(f10(f890(x101552,f889(x101551,x101552)),f890(x101552,f890(f890(f889(x101551,x101552),a874),a874)),x101551),f333(f10(f889(x101551,x101552),f890(f890(f889(x101551,x101552),a874),a874),x101552),f335(f889(x101551,x101552)))),f263(x101551,x101552)))),x101554)))
% 163.24/162.97 [10178]P24(f333(f333(f250(f890(f889(x101781,x101782),a874)),x101783),x101784))+~P24(f333(f333(f250(f890(x101781,f890(x101782,a874))),f333(f333(f9(x101781,f890(f889(x101781,x101782),a874),f890(x101782,a874)),f333(f333(f10(f890(x101782,f890(f890(f889(x101781,x101782),a874),a874)),f890(f890(f889(x101781,x101782),a874),f890(x101782,a874)),x101781),f9(x101782,f890(f889(x101781,x101782),a874),a874)),f333(f333(f10(f890(x101782,f889(x101781,x101782)),f890(x101782,f890(f890(f889(x101781,x101782),a874),a874)),x101781),f333(f10(f889(x101781,x101782),f890(f890(f889(x101781,x101782),a874),a874),x101782),f335(f889(x101781,x101782)))),f263(x101781,x101782)))),x101783)),f333(f333(f9(x101781,f890(f889(x101781,x101782),a874),f890(x101782,a874)),f333(f333(f10(f890(x101782,f890(f890(f889(x101781,x101782),a874),a874)),f890(f890(f889(x101781,x101782),a874),f890(x101782,a874)),x101781),f9(x101782,f890(f889(x101781,x101782),a874),a874)),f333(f333(f10(f890(x101782,f889(x101781,x101782)),f890(x101782,f890(f890(f889(x101781,x101782),a874),a874)),x101781),f333(f10(f889(x101781,x101782),f890(f890(f889(x101781,x101782),a874),a874),x101782),f335(f889(x101781,x101782)))),f263(x101781,x101782)))),x101784)))
% 163.24/162.97 [9207]~P24(f333(f333(f335(f889(x92071,x92071)),x92072),f309(x92071,x92074)))+P24(f333(f333(f335(f889(x92071,x92071)),x92072),f309(x92071,f333(f333(f115(f890(f889(x92071,x92071),a874)),x92073),x92074))))
% 163.24/162.97 [9208]~P24(f333(f333(f335(f889(x92081,x92081)),x92082),f309(x92081,x92083)))+P24(f333(f333(f335(f889(x92081,x92081)),x92082),f309(x92081,f333(f333(f115(f890(f889(x92081,x92081),a874)),x92083),x92084))))
% 163.24/162.97 [9576]~E(f333(f173(x95761),x95764),f184(x95761,x95762,x95763))+E(f333(f178(x95761,x95762),f333(f333(f155(x95761,f889(x95761,x95762)),f333(f333(f20(x95761,x95762,f889(x95761,x95762)),f263(x95761,x95762)),f333(f333(f10(f884(x95762),x95762,x95761),f246(x95762)),x95763))),x95764)),x95763)
% 163.24/162.97 [9913]~P24(f333(f333(f251(a880),f333(f333(f81(a880),x99131),x99134)),f333(f333(f81(a880),x99133),x99132)))+P24(f333(f333(f251(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99131),x99132)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99133),x99134)),f194(f890(f889(a880,a880),a874)))))))
% 163.24/162.97 [9914]~P24(f333(f333(f250(a880),f333(f333(f81(a880),x99141),x99144)),f333(f333(f81(a880),x99143),x99142)))+P24(f333(f333(f250(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99141),x99142)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99143),x99144)),f194(f890(f889(a880,a880),a874)))))))
% 163.24/162.97 [9979]P24(f333(f333(f251(a880),f333(f333(f81(a880),x99791),x99792)),f333(f333(f81(a880),x99793),x99794)))+~P24(f333(f333(f251(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99791),x99794)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99793),x99792)),f194(f890(f889(a880,a880),a874)))))))
% 163.24/162.97 [9980]P24(f333(f333(f250(a880),f333(f333(f81(a880),x99801),x99802)),f333(f333(f81(a880),x99803),x99804)))+~P24(f333(f333(f250(a1),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99801),x99804)),f194(f890(f889(a880,a880),a874)))))),f333(a90,f333(f287(f889(a880,a880),f889(a880,a880),a113),f333(f333(f311(f889(a880,a880)),f333(f333(f263(a880,a880),x99803),x99802)),f194(f890(f889(a880,a880),a874)))))))
% 163.24/162.97 [10023]P24(f333(f333(f250(f890(x100231,a874)),f333(f333(f44(a880,f890(x100231,a874)),f258(f890(a880,a874))),x100232)),f333(f333(f44(a880,f890(x100231,a874)),f258(f890(a880,a874))),x100233)))+~P24(f333(f333(f250(f890(x100231,a874)),f333(f333(f44(a880,f890(x100231,a874)),f333(f303(a880,f2(a880)),f548(x100233,x100234,x100232,x100231))),x100232)),f333(f333(f44(a880,f890(x100231,a874)),f333(f303(a880,f2(a880)),f333(f333(f81(a880),f548(x100233,x100234,x100232,x100231)),x100234))),x100233)))
% 163.24/162.97 [10145]~P24(f333(f333(f335(x101452),x101454),f333(f259(x101451,x101452),x101453)))+P24(f333(f269(x101451,x101452,f333(f333(f9(x101451,f890(f889(x101451,x101452),a874),f890(x101452,a874)),f333(f333(f10(f890(x101452,f890(f890(f889(x101451,x101452),a874),a874)),f890(f890(f889(x101451,x101452),a874),f890(x101452,a874)),x101451),f9(x101452,f890(f889(x101451,x101452),a874),a874)),f333(f333(f10(f890(x101452,f889(x101451,x101452)),f890(x101452,f890(f890(f889(x101451,x101452),a874),a874)),x101451),f333(f10(f889(x101451,x101452),f890(f890(f889(x101451,x101452),a874),a874),x101452),f335(f889(x101451,x101452)))),f263(x101451,x101452)))),x101453)),x101454))
% 163.24/162.97 [10146]~P24(f333(f333(f335(x101461),x101464),f333(f261(x101461,x101462),x101463)))+P24(f333(f268(x101461,x101462,f333(f333(f9(x101461,f890(f889(x101461,x101462),a874),f890(x101462,a874)),f333(f333(f10(f890(x101462,f890(f890(f889(x101461,x101462),a874),a874)),f890(f890(f889(x101461,x101462),a874),f890(x101462,a874)),x101461),f9(x101462,f890(f889(x101461,x101462),a874),a874)),f333(f333(f10(f890(x101462,f889(x101461,x101462)),f890(x101462,f890(f890(f889(x101461,x101462),a874),a874)),x101461),f333(f10(f889(x101461,x101462),f890(f890(f889(x101461,x101462),a874),a874),x101462),f335(f889(x101461,x101462)))),f263(x101461,x101462)))),x101463)),x101464))
% 163.24/162.97 [10158]P24(f333(f333(f335(x101581),x101582),f333(f259(x101583,x101581),x101584)))+~P24(f333(f269(x101583,x101581,f333(f333(f9(x101583,f890(f889(x101583,x101581),a874),f890(x101581,a874)),f333(f333(f10(f890(x101581,f890(f890(f889(x101583,x101581),a874),a874)),f890(f890(f889(x101583,x101581),a874),f890(x101581,a874)),x101583),f9(x101581,f890(f889(x101583,x101581),a874),a874)),f333(f333(f10(f890(x101581,f889(x101583,x101581)),f890(x101581,f890(f890(f889(x101583,x101581),a874),a874)),x101583),f333(f10(f889(x101583,x101581),f890(f890(f889(x101583,x101581),a874),a874),x101581),f335(f889(x101583,x101581)))),f263(x101583,x101581)))),x101584)),x101582))
% 163.24/162.97 [10159]P24(f333(f333(f335(x101591),x101592),f333(f261(x101591,x101593),x101594)))+~P24(f333(f268(x101591,x101593,f333(f333(f9(x101591,f890(f889(x101591,x101593),a874),f890(x101593,a874)),f333(f333(f10(f890(x101593,f890(f890(f889(x101591,x101593),a874),a874)),f890(f890(f889(x101591,x101593),a874),f890(x101593,a874)),x101591),f9(x101593,f890(f889(x101591,x101593),a874),a874)),f333(f333(f10(f890(x101593,f889(x101591,x101593)),f890(x101593,f890(f890(f889(x101591,x101593),a874),a874)),x101591),f333(f10(f889(x101591,x101593),f890(f890(f889(x101591,x101593),a874),a874),x101593),f335(f889(x101591,x101593)))),f263(x101591,x101593)))),x101594)),x101592))
% 163.24/162.97 [9837]P24(f333(f161(x98371,x98372),x98373))+~P24(f333(f161(x98371,f333(f333(f20(x98371,a874,a874),f333(f333(f10(a874,f890(a874,a874),x98371),a331),x98374)),x98372)),x98373))
% 163.24/162.97 [9838]P24(f333(f161(x98381,x98382),x98383))+~P24(f333(f161(x98381,f333(f333(f20(x98381,a874,a874),f333(f333(f10(a874,f890(a874,a874),x98381),a331),x98382)),x98384)),x98383))
% 163.24/162.97 [9915]~P115(x99151)+E(f333(f333(f82(x99151),f333(f333(f81(x99151),f79(x99151)),f79(x99151))),f333(f333(f8(a880,x99151),f333(f333(f10(x99151,x99151,a880),f333(f81(x99151),x99152)),f333(f333(f9(a880,x99151,x99151),f333(f333(f10(x99151,f890(x99151,x99151),a880),f82(x99151)),f105(x99151))),x99153))),f333(f256(a880),x99154))),f333(f333(f82(x99151),f333(f105(x99151),x99154)),f333(f333(f81(x99151),x99152),f333(f333(f81(x99151),x99152),f333(f333(f82(x99151),f333(f105(x99151),f333(f333(f3(a880),x99154),f79(a880)))),x99153)))))
% 163.24/162.97 [10043]P24(f333(x100431,f705(x100432,x100433,x100434,x100431)))+P40(x100432,f333(f255(f889(x100432,x100432)),f333(f272(x100432,x100432,a874),f333(f333(f10(f890(x100432,a874),f890(x100432,a874),x100432),f333(f20(x100432,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100432),a331),x100431))),f333(f333(f9(x100432,f890(x100432,x100432),f890(x100432,a874)),f333(f333(f10(f890(x100432,a874),f890(f890(x100432,x100432),f890(x100432,a874)),x100432),f10(x100432,a874,x100432)),a330)),x100433)))))
% 163.24/162.97 [10054]~P24(f333(f333(f251(a880),f333(x100544,f333(x100543,f705(x100541,x100543,x100544,x100542)))),f333(x100544,f705(x100541,x100543,x100544,x100542))))+P40(x100541,f333(f255(f889(x100541,x100541)),f333(f272(x100541,x100541,a874),f333(f333(f10(f890(x100541,a874),f890(x100541,a874),x100541),f333(f20(x100541,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100541),a331),x100542))),f333(f333(f9(x100541,f890(x100541,x100541),f890(x100541,a874)),f333(f333(f10(f890(x100541,a874),f890(f890(x100541,x100541),f890(x100541,a874)),x100541),f10(x100541,a874,x100541)),a330)),x100543)))))
% 163.24/162.97 [10194]~P24(f333(f333(f335(f889(x101941,x101941)),f333(f333(f263(x101941,x101941),x101943),x101944)),f333(f333(f115(f890(f889(x101941,x101941),a874)),x101942),f309(x101941,f194(f890(f889(x101941,x101941),a874))))))+P24(f333(f333(f333(f333(f115(f890(x101941,f890(x101941,a874))),f333(f333(f9(x101941,f890(f889(x101941,x101941),a874),f890(x101941,a874)),f333(f333(f10(f890(x101941,f890(f890(f889(x101941,x101941),a874),a874)),f890(f890(f889(x101941,x101941),a874),f890(x101941,a874)),x101941),f9(x101941,f890(f889(x101941,x101941),a874),a874)),f333(f333(f10(f890(x101941,f889(x101941,x101941)),f890(x101941,f890(f890(f889(x101941,x101941),a874),a874)),x101941),f333(f10(f889(x101941,x101941),f890(f890(f889(x101941,x101941),a874),a874),x101941),f335(f889(x101941,x101941)))),f263(x101941,x101941)))),x101942)),a330),x101943),x101944))
% 163.24/162.97 [10208]P24(f333(f333(f335(f889(x102081,x102081)),f333(f333(f263(x102081,x102081),x102082),x102083)),f333(f333(f115(f890(f889(x102081,x102081),a874)),x102084),f309(x102081,f194(f890(f889(x102081,x102081),a874))))))+~P24(f333(f333(f333(f333(f115(f890(x102081,f890(x102081,a874))),f333(f333(f9(x102081,f890(f889(x102081,x102081),a874),f890(x102081,a874)),f333(f333(f10(f890(x102081,f890(f890(f889(x102081,x102081),a874),a874)),f890(f890(f889(x102081,x102081),a874),f890(x102081,a874)),x102081),f9(x102081,f890(f889(x102081,x102081),a874),a874)),f333(f333(f10(f890(x102081,f889(x102081,x102081)),f890(x102081,f890(f890(f889(x102081,x102081),a874),a874)),x102081),f333(f10(f889(x102081,x102081),f890(f890(f889(x102081,x102081),a874),a874),x102081),f335(f889(x102081,x102081)))),f263(x102081,x102081)))),x102084)),a330),x102082),x102083))
% 163.24/162.97 [10031]~P111(x100313)+E(f91(x100311,f333(f333(f20(x100311,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100311),a331),x100312)),f333(f333(f10(f890(x100311,a874),a874,x100311),f88(x100311)),f333(f333(f10(f890(x100311,a874),f890(x100311,a874),x100311),f333(f20(x100311,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100311),a336),x100312))),f333(f333(f10(x100313,f890(x100311,a874),x100311),f333(f9(x100311,x100313,a874),f333(f333(f10(x100313,f890(x100313,a874),x100311),f250(x100313)),x100314))),x100314))))),f333(f94(x100311,x100313,x100314),x100312))
% 163.24/162.97 [10068]~P111(x100683)+E(f91(x100681,f333(f333(f20(x100681,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100681),a331),x100682)),f333(f333(f10(f890(x100681,a874),a874,x100681),f88(x100681)),f333(f333(f10(f890(x100681,a874),f890(x100681,a874),x100681),f333(f20(x100681,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100681),a336),x100682))),f333(f333(f9(x100681,f890(x100681,x100683),f890(x100681,a874)),f333(f333(f10(f890(x100683,a874),f890(f890(x100681,x100683),f890(x100681,a874)),x100681),f10(x100683,a874,x100681)),f333(f333(f10(x100683,f890(x100683,a874),x100681),f250(x100683)),x100684))),x100684))))),f97(x100681,x100683,x100684,x100682))
% 163.24/162.97 [10143]E(f333(f333(f152(f881(x101431)),f333(f333(f152(x101431),x101432),f333(f143(f881(x101431),f881(x101431),f127(x101431),f118(x101431)),f333(f333(f155(f881(x101431),f881(x101431)),f157(f881(x101431),x101431,f118(x101431),f333(f333(f10(f881(x101431),f890(f881(x101431),f881(x101431)),x101431),f18(f881(x101431),f881(x101431))),f333(f333(f9(x101431,f881(x101431),f881(x101431)),f152(x101431)),f118(x101431))))),x101433)))),f180(x101431,f333(f333(f152(f881(x101431)),x101434),f333(f143(f881(f881(x101431)),f881(f881(x101431)),f127(f881(x101431)),f118(f881(x101431))),f333(f333(f155(f881(x101431),f881(f881(x101431))),f157(f881(f881(x101431)),x101431,f118(f881(x101431)),f333(f18(f890(f881(x101431),f881(f881(x101431))),x101431),f333(f333(f9(f881(x101431),f881(f881(x101431)),f881(f881(x101431))),f152(f881(x101431))),f118(f881(x101431)))))),x101433))))),f180(x101431,f333(f333(f152(f881(x101431)),f333(f333(f152(x101431),x101432),x101434)),x101433)))+~P24(f333(f321(f881(f881(x101431)),f181(x101431)),f333(f333(f152(f881(x101431)),f333(f333(f152(x101431),x101432),x101434)),x101433)))
% 163.24/162.97 [10193]~P24(f333(f63(x101932),f333(f255(x101932),x101934)))+P24(f333(f63(x101931),f333(f255(x101931),f333(f333(f10(f890(x101932,a874),a874,x101931),f87(x101932)),f333(f333(f9(x101931,f890(x101932,a874),f890(x101932,a874)),f333(f333(f10(f890(x101932,f890(a874,a874)),f890(f890(x101932,a874),f890(x101932,a874)),x101931),f20(x101932,a874,a874)),f333(f333(f10(f890(x101932,a874),f890(x101932,f890(a874,a874)),x101931),f333(f10(a874,f890(a874,a874),x101932),a331)),f333(f333(f9(x101931,f890(x101932,x101931),f890(x101932,a874)),f333(f333(f10(f890(x101931,a874),f890(f890(x101932,x101931),f890(x101932,a874)),x101931),f10(x101931,a874,x101932)),a330)),x101933)))),x101934)))))
% 163.24/162.97 [5290]E(x52901,x52902)+~E(f129(x52903,x52904,x52901),f129(x52903,x52905,x52902))
% 163.24/162.97 [5291]E(x52911,x52912)+~E(f129(x52913,x52911,x52914),f129(x52913,x52912,x52915))
% 163.24/162.97 [5664]E(f333(f333(f311(x56641),x56642),f184(x56641,x56643,x56644)),f184(x56641,x56643,x56644))+~E(f333(x56644,x56642),f333(f242(x56643),x56645))
% 163.24/162.97 [6072]P24(f333(f269(x60721,x60722,x60723),x60724))+~P24(f333(f333(x60723,x60725),x60724))
% 163.24/162.97 [6074]P24(f333(f268(x60741,x60742,x60743),x60744))+~P24(f333(f333(x60743,x60744),x60745))
% 163.24/162.97 [6077]~E(f333(x60774,x60772),f333(f242(x60773),x60775))+P24(f333(f333(f335(x60771),x60772),f184(x60771,x60773,x60774)))
% 163.24/162.97 [6078]~E(f333(x60784,x60785),f333(f242(x60781),x60782))+P24(f333(f333(f335(x60781),x60782),f186(x60783,x60781,x60784)))
% 163.24/162.97 [6535]~E(x65355,f2(a104))+E(f333(f207(x65351,x65352,x65353,x65354),x65355),f120(x65352))
% 163.24/162.97 [6536]~E(x65365,f2(a104))+E(f333(f205(x65361,x65362,x65363,x65364),x65365),f130(x65362))
% 163.24/162.97 [6672]~E(x66723,f2(a104))+E(f333(f282(x66721,x66722,x66723,x66724),x66725),f333(f263(x66721,x66722),x66725))
% 163.24/162.97 [6744]~E(f333(x67444,x67445),f197(x67442))+E(f333(f244(f884(x67441),x67442,f197(x67441),x67443),f333(x67444,x67445)),f197(x67441))
% 163.24/162.97 [7348]E(f333(x73481,x73482),f197(x73483))+~E(f333(f185(x73484,x73483,x73485,x73481),x73482),f197(x73483))
% 163.24/162.97 [7349]E(f333(x73491,x73492),f197(x73493))+~E(f333(f185(x73494,x73493,x73491,x73495),x73492),f197(x73493))
% 163.24/162.97 [7384]E(f333(f185(x73841,x73842,x73843,x73844),x73845),f333(x73843,x73845))+P24(f333(f333(f335(x73841),x73845),f184(x73841,x73842,x73844)))
% 163.24/162.97 [7385]E(f333(f185(x73851,x73852,x73853,x73854),x73855),f333(x73854,x73855))+P24(f333(f333(f335(x73851),x73855),f184(x73851,x73852,x73853)))
% 163.24/162.97 [7699]~P16(x76994,x76991,x76992,x76995)+E(f333(f74(x76991,x76991,x76991,f333(x76992,x76993)),f333(x76992,x76993)),f333(x76992,x76993))
% 163.24/162.97 [7744]E(f333(f185(x77441,x77442,x77443,x77444),x77445),f333(x77444,x77445))+~P24(f333(f333(f335(x77441),x77445),f184(x77441,x77442,x77444)))
% 163.24/162.97 [8090]~P12(x80905,x80901,x80902)+E(f333(f74(x80901,x80901,x80901,f333(x80902,x80903)),f333(x80902,x80904)),f333(f74(x80901,x80901,x80901,f333(x80902,x80904)),f333(x80902,x80903)))
% 163.24/162.97 [8415]P24(f333(f333(f335(f889(x84151,x84151)),f333(f333(f263(x84151,x84151),x84152),x84153)),f327(x84151,x84154,x84155)))+~P24(f333(f333(f251(a880),f333(x84154,x84152)),f333(x84154,x84153)))
% 163.24/162.97 [8517]~P24(f333(f333(f335(x85174),x85173),f297(x85174,x85171,x85172,x85175)))+P24(f333(f333(x85171,x85172),x85173))
% 163.24/162.97 [8518]~P24(f333(f333(f335(x85184),x85183),f300(x85184,x85181,x85182,x85185)))+P24(f333(f333(x85181,x85182),x85183))
% 163.24/162.97 [8519]~P24(f333(f333(f335(x85194),x85192),f297(x85194,x85191,x85195,x85193)))+P24(f333(f333(x85191,x85192),x85193))
% 163.24/162.97 [8520]~P24(f333(f333(f335(x85204),x85202),f300(x85204,x85201,x85205,x85203)))+P24(f333(f333(x85201,x85202),x85203))
% 163.24/162.97 [8650]~P56(x86502,x86501,x86505,x86503,x86504)+E(f333(f312(x86501,x86502,x86503),x86504),f258(f890(x86502,a874)))
% 163.24/162.97 [9075]~P37(x90751,x90752,x90753,x90754,x90755)+P37(x90751,x90752,x90753,f333(f170(x90751),x90754),f333(f170(x90752),x90755))
% 163.24/162.97 [9077]~P37(x90771,x90772,x90773,f333(f170(x90771),x90774),x90775)+P37(x90771,x90772,x90773,x90774,f333(f170(x90772),x90775))
% 163.24/162.97 [9078]~P37(x90781,x90782,x90783,x90784,f333(f170(x90782),x90785))+P37(x90781,x90782,x90783,f333(f170(x90781),x90784),x90785)
% 163.24/162.97 [9084]P37(x90841,x90842,x90843,x90844,x90845)+~P37(x90841,x90842,x90843,f333(f170(x90841),x90844),f333(f170(x90842),x90845))
% 163.24/162.97 [9496]P24(f333(f333(f335(f889(f881(x94961),f881(x94961))),f333(f333(f263(f881(x94961),f881(x94961)),f333(f333(f152(x94961),x94962),x94963)),f333(f333(f152(x94961),x94962),x94964))),f158(x94961,x94965)))+~P24(f333(f333(f335(f889(f881(x94961),f881(x94961))),f333(f333(f263(f881(x94961),f881(x94961)),x94963),x94964)),f158(x94961,x94965)))
% 163.24/162.97 [9497]P24(f333(f333(f335(f889(f881(x94971),f881(x94971))),f333(f333(f263(f881(x94971),f881(x94971)),f333(f333(f127(x94971),x94972),x94973)),f333(f333(f127(x94971),x94972),x94974))),f148(x94971,x94975)))+~P24(f333(f333(f335(f889(f881(x94971),f881(x94971))),f333(f333(f263(f881(x94971),f881(x94971)),x94973),x94974)),f148(x94971,x94975)))
% 163.24/162.97 [9703]E(f333(f333(f152(x97031),f593(x97032,x97033,x97034,x97035,x97031)),f596(x97032,x97033,x97034,x97035,x97031)),x97035)+~P24(f333(f333(f335(f889(f881(x97031),f881(x97031))),f333(f333(f263(f881(x97031),f881(x97031)),x97035),f333(f333(f152(x97031),x97034),x97033))),f159(x97031,x97032)))
% 163.24/162.97 [9725]E(f333(f333(f152(x97251),f597(x97252,x97253,x97254,x97255,x97251)),f598(x97252,x97253,x97254,x97255,x97251)),x97253)+~P24(f333(f333(f335(f889(f881(x97251),f881(x97251))),f333(f333(f263(f881(x97251),f881(x97251)),f333(f333(f152(x97251),x97255),x97254)),x97253)),f159(x97251,x97252)))
% 163.24/162.97 [9891]~P24(f333(f333(f335(f889(f881(x98911),f881(x98911))),f333(f333(f263(f881(x98911),f881(x98911)),f333(f333(f152(x98911),x98915),x98912)),x98914)),f159(x98911,x98913)))+P24(f333(f333(f335(f889(f881(x98911),f881(x98911))),f333(f333(f263(f881(x98911),f881(x98911)),x98912),f598(x98913,x98914,x98912,x98915,x98911))),f159(x98911,x98913)))
% 163.24/162.97 [9950]~P24(f333(f333(f335(f889(f881(x99501),f881(x99501))),f333(f333(f263(f881(x99501),f881(x99501)),x99505),f333(f333(f152(x99501),x99504),x99503))),f159(x99501,x99502)))+P24(f333(f333(f335(f889(f881(x99501),f881(x99501))),f333(f333(f263(f881(x99501),f881(x99501)),f596(x99502,x99503,x99504,x99505,x99501)),x99503)),f159(x99501,x99502)))
% 163.24/162.97 [10117]P24(f333(f333(f335(f889(x101171,x101171)),f333(f333(f263(x101171,x101171),f333(x101172,f333(f333(f81(a880),x101173),x101174))),f333(x101172,x101173))),f309(x101171,x101175)))+~P24(f333(f333(f335(f889(x101171,x101171)),f333(f333(f263(x101171,x101171),f333(x101172,f333(a117,f765(x101174,x101173,x101175,x101172,x101171)))),f333(x101172,f765(x101174,x101173,x101175,x101172,x101171)))),f309(x101171,x101175)))
% 163.24/162.97 [5253]E(x52531,x52532)+~E(f333(f333(f152(x52533),x52534),x52531),f333(f333(f152(x52533),x52535),x52532))
% 163.24/162.97 [5254]E(x52541,x52542)+~E(f333(f333(f152(x52543),x52541),x52544),f333(f333(f152(x52543),x52542),x52545))
% 163.24/162.97 [5307]P24(f333(x53071,x53072))+~E(f333(f137(x53073,x53071),x53074),f333(f333(f152(x53073),x53072),x53075))
% 163.24/162.97 [5308]P24(f333(x53081,x53082))+~E(f333(f333(f152(x53083),x53082),x53084),f333(f137(x53083,x53081),x53085))
% 163.24/162.97 [5463]~E(f333(f333(f139(x54631),x54633),x54632),f333(f333(f152(x54631),x54634),x54635))+E(f333(f333(f166(x54631),x54632),x54633),x54634)
% 163.24/162.97 [5593]~P11(x55934,x55935,x55931)+E(f333(f333(x55931,x55932),f333(f333(x55931,x55932),x55933)),f333(f333(x55931,x55932),x55933))
% 163.24/162.97 [6130]~E(x61304,f2(a104))+E(f333(f333(f122(x61301,x61302,x61303),x61304),x61305),f333(f333(f263(f881(x61302),x61301),f118(x61302)),x61305))
% 163.24/162.97 [6200]~P109(x62002)+~E(f333(f333(f149(x62001,x62002,x62003),x62004),x62005),f118(x62001))
% 163.24/162.97 [6572]E(x65721,x65722)+~E(f333(f333(f127(x65723),x65724),f333(f333(f152(x65723),x65721),f118(x65723))),f333(f333(f127(x65723),x65725),f333(f333(f152(x65723),x65722),f118(x65723))))
% 163.24/162.97 [6573]E(x65731,x65732)+~E(f333(f333(f127(x65733),x65731),f333(f333(f152(x65733),x65734),f118(x65733))),f333(f333(f127(x65733),x65732),f333(f333(f152(x65733),x65735),f118(x65733))))
% 163.24/162.97 [6819]E(f333(f188(x68191,x68192,x68193,x68194),x68195),f197(x68192))+P24(f333(f333(f335(x68191),x68195),x68194))
% 163.24/162.97 [6880]E(f333(f333(f311(x68801),f333(x68802,x68803)),f333(f312(x68804,x68801,x68802),x68805)),f333(f312(x68804,x68801,x68802),x68805))+~P24(f333(f333(f335(x68804),x68803),x68805))
% 163.24/162.97 [6887]~P24(f333(x68874,f333(x68873,x68875)))+P24(f333(f333(f313(x68871,x68872,x68873),x68874),x68875))
% 163.24/162.97 [6984]~E(f333(f312(x69841,x69842,x69843),x69844),x69845)+E(f333(f312(f890(x69841,a874),f890(x69842,a874),f312(x69841,x69842,x69843)),f333(f310(x69841),x69844)),f333(f310(x69842),x69845))
% 163.24/162.97 [7016]E(f333(f188(x70161,x70162,x70163,x70164),x70165),f333(x70163,x70165))+~P24(f333(f333(f335(x70161),x70165),x70164))
% 163.24/162.97 [7312]P21(x73121,x73122,x73123,x73124)+~P21(x73121,x73122,x73123,f333(f333(f311(x73121),x73125),x73124))
% 163.24/162.97 [7374]P24(f333(x73741,x73742))+~P24(f333(f333(f96(x73743,x73744,x73741),x73745),x73742))
% 163.24/162.97 [7418]~P24(f333(f333(f335(x74184),x74183),x74185))+P24(f333(f333(f335(x74181),f333(x74182,x74183)),f333(f312(x74184,x74181,x74182),x74185)))
% 163.24/162.97 [7442]~P109(x74422)+E(f151(x74421,x74422,x74423,f333(f137(x74421,x74424),x74425)),f333(f137(x74421,x74424),f151(x74421,x74422,x74423,x74425)))
% 163.24/162.97 [7475]P24(f333(x74751,f333(x74752,x74753)))+~P24(f333(f333(f313(x74754,x74755,x74752),x74751),x74753))
% 163.24/162.97 [7476]P24(f333(f333(x74761,x74762),x74763))+~P24(f333(f333(f96(x74764,x74761,x74765),x74762),x74763))
% 163.24/162.97 [7539]~P24(f333(f333(f335(x75393),f333(x75394,x75392)),x75395))+P24(f333(f333(f335(x75391),x75392),f333(f313(x75391,x75393,x75394),x75395)))
% 163.24/162.97 [7925]~P24(f333(f333(f335(x79255),x79253),f333(f313(x79255,x79251,x79252),x79254)))+P24(f333(f333(f335(x79251),f333(x79252,x79253)),x79254))
% 163.24/162.97 [8158]~E(x81583,f333(f333(f333(f73(x81581,f884(x81582)),f333(f18(f884(x81582),x81581),f197(x81582))),x81584),f333(f242(x81582),x81585)))+E(f184(x81581,x81582,x81583),f333(f333(f311(x81581),x81584),f194(f890(x81581,a874))))
% 163.24/162.97 [8236]~P12(x82362,x82361,x82363)+E(f333(f143(x82361,x82362,f333(f9(x82362,x82361,x82361),x82363),x82364),f153(x82362,x82365)),f333(f333(f66(x82362,x82361,x82363),x82364),f333(f173(x82362),x82365)))
% 163.24/162.97 [8255]E(f333(x82551,f725(x82552,x82551,x82553,x82554)),x82554)+~P24(f333(f333(f335(x82555),x82554),f333(f312(x82553,x82555,x82551),x82552)))
% 163.24/162.97 [8563]~E(x85632,f333(f333(f152(x85631),x85634),x85635))+P24(f333(f333(f335(f889(f881(x85631),f881(x85631))),f333(f333(f263(f881(x85631),f881(x85631)),f118(x85631)),x85632)),f148(x85631,x85633)))
% 163.24/162.97 [8616]~P37(x86161,x86163,x86165,x86162,x86164)+E(f333(f195(f881(x86161)),x86162),f333(f195(f881(x86163)),x86164))
% 163.24/162.97 [8625]P24(f333(f333(f250(f890(x86251,a874)),f333(f333(f43(x86252,f890(x86251,a874)),x86253),x86254)),f333(x86254,x86255)))+~P24(f333(f333(f335(x86252),x86255),x86253))
% 163.24/162.97 [8665]~P56(x86651,x86652,x86653,x86655,x86654)+E(f333(f312(x86651,x86652,x86653),f258(f890(x86651,a874))),x86654)
% 163.24/162.97 [8874]E(f333(f333(f333(f73(x88741,f884(x88742)),f188(x88741,x88742,x88743,x88744)),x88745),f197(x88742)),f188(x88741,x88742,x88743,x88744))+P24(f333(f333(f335(x88741),x88745),x88744))
% 163.24/162.97 [8879]E(f333(f137(x88791,x88792),f748(x88793,x88794,x88795,x88792,x88791)),x88793)+~E(f333(f137(x88791,x88792),x88795),f333(f333(f152(x88791),x88794),x88793))
% 163.24/162.97 [8880]E(f333(f137(x88801,x88802),f750(x88803,x88802,x88804,x88805,x88801)),x88804)+~E(f333(f333(f152(x88801),x88805),x88804),f333(f137(x88801,x88802),x88803))
% 163.24/162.97 [8881]E(f333(x88811,f557(x88812,x88813,x88811,x88814,x88815)),x88812)+~E(f333(f333(f208(x88815,x88814),x88811),x88813),f333(f242(x88814),x88812))
% 163.24/162.97 [8885]E(f333(f242(x88851),f557(x88852,x88853,x88854,x88855,x88851)),x88853)+~E(f333(f333(f208(x88851,x88855),x88854),x88853),f333(f242(x88855),x88852))
% 163.24/162.97 [8981]E(f333(f195(f881(x89811)),x89812),x89813)+~P24(f333(f333(f335(f889(f881(x89811),f881(x89811))),f333(f333(f263(f881(x89811),f881(x89811)),x89814),x89812)),f333(f144(x89811,x89815),x89813)))
% 163.24/162.97 [8982]E(f333(f195(f881(x89821)),x89822),x89823)+~P24(f333(f333(f335(f889(f881(x89821),f881(x89821))),f333(f333(f263(f881(x89821),f881(x89821)),x89822),x89824)),f333(f144(x89821,x89825),x89823)))
% 163.24/162.97 [9042]P24(f333(f333(f335(x90421),f725(x90422,x90423,x90421,x90424)),x90422))+~P24(f333(f333(f335(x90425),x90424),f333(f312(x90421,x90425,x90423),x90422)))
% 163.24/162.97 [9205]E(f333(f312(x92051,x92052,x92053),f350(x92054,x92053,x92051,x92055,x92052)),x92055)+~P24(f333(f333(f250(f890(x92052,a874)),x92055),f333(f312(x92051,x92052,x92053),x92054)))
% 163.24/162.97 [9457]E(f333(x94571,f652(x94572,x94571,x94573,x94574,x94575)),f333(f242(x94575),x94574))+~P24(f333(f333(f335(x94575),x94574),f186(x94573,x94575,f188(x94573,x94575,x94571,x94572))))
% 163.24/162.97 [9518]P24(f333(f333(f335(f889(f881(x95181),f881(x95181))),f333(f333(f263(f881(x95181),f881(x95181)),f333(f333(f152(x95181),x95182),x95183)),f333(f333(f152(x95181),x95182),x95184))),f309(f881(x95181),f158(x95181,x95185))))+~P24(f333(f333(f335(f889(f881(x95181),f881(x95181))),f333(f333(f263(f881(x95181),f881(x95181)),x95183),x95184)),f309(f881(x95181),f158(x95181,x95185))))
% 163.24/162.97 [9549]~E(f333(x95493,f559(x95495,x95494,x95493,x95492,x95491)),f333(x95495,f559(x95495,x95494,x95493,x95492,x95491)))+E(f333(f333(f155(x95491,x95492),x95493),x95494),f333(f333(f155(x95491,x95492),x95495),x95494))
% 163.24/162.97 [9635]~E(f333(f137(x96351,x96355),x96354),f333(f333(f152(x96351),x96353),x96352))+E(f333(f333(f127(x96351),f749(x96352,x96353,x96354,x96355,x96351)),f333(f333(f152(x96351),x96353),f748(x96352,x96353,x96354,x96355,x96351))),x96354)
% 163.24/162.97 [9636]~E(f333(f333(f152(x96361),x96365),x96364),f333(f137(x96361,x96363),x96362))+E(f333(f333(f127(x96361),f751(x96362,x96363,x96364,x96365,x96361)),f333(f333(f152(x96361),x96365),f750(x96362,x96363,x96364,x96365,x96361))),x96362)
% 163.24/162.97 [9642]E(f333(f333(f155(x96421,x96422),x96423),x96424),f333(f333(f155(x96421,x96422),x96425),x96424))+P24(f333(f333(f335(x96421),f559(x96423,x96424,x96425,x96422,x96421)),f333(f173(x96421),x96424)))
% 163.24/162.97 [9670]~P24(f333(f333(f335(x96705),x96704),f333(f287(x96701,x96705,x96703),x96702)))+P24(f333(f333(f335(x96701),f549(x96702,x96703,x96701,x96704,x96705)),x96702))
% 163.24/162.97 [9671]~P24(f333(f333(f335(x96715),x96714),f333(f287(x96711,x96715,x96713),x96712)))+P24(f333(f333(f335(x96711),f577(x96712,x96713,x96711,x96714,x96715)),x96712))
% 163.24/162.97 [9697]~P24(f333(f333(f250(f890(x96975,a874)),x96974),f333(f312(x96971,x96975,x96973),x96972)))+P24(f333(f333(f250(f890(x96971,a874)),f350(x96972,x96973,x96971,x96974,x96975)),x96972))
% 163.24/162.97 [9753]~P24(f333(f333(f335(x97535),x97534),f186(x97531,x97535,f188(x97531,x97535,x97533,x97532))))+P24(f333(f333(f335(x97531),f652(x97532,x97533,x97531,x97534,x97535)),x97532))
% 163.24/162.97 [10161]E(x101611,f2(a104))+E(f333(f244(f889(f881(x101612),x101613),f889(x101612,x101613),f333(f333(f263(f881(x101612),x101613),f118(x101612)),x101614),f333(f272(x101612,x101613,f889(f881(x101612),x101613)),f333(f333(f9(x101612,f890(x101613,f889(f881(x101612),x101613)),f890(x101613,f889(f881(x101612),x101613))),f333(f333(f10(f890(f889(f881(x101612),x101613),f889(f881(x101612),x101613)),f890(f890(x101613,f889(f881(x101612),x101613)),f890(x101613,f889(f881(x101612),x101613))),x101612),f10(f889(f881(x101612),x101613),f889(f881(x101612),x101613),x101613)),f333(f333(f10(f890(f881(x101612),f890(x101613,f889(f881(x101612),x101613))),f890(f889(f881(x101612),x101613),f889(f881(x101612),x101613)),x101612),f272(f881(x101612),x101613,f889(f881(x101612),x101613))),f333(f333(f10(f890(f881(x101612),f881(x101612)),f890(f881(x101612),f890(x101613,f889(f881(x101612),x101613))),x101612),f333(f10(f881(x101612),f890(x101613,f889(f881(x101612),x101613)),f881(x101612)),f263(f881(x101612),x101613))),f152(x101612))))),f333(f122(x101613,x101612,x101615),f333(f333(f3(a104),x101611),f79(a104)))))),f333(x101615,x101614)),f333(f333(f122(x101613,x101612,x101615),x101611),x101614))
% 163.24/162.97 [5476]~E(f333(x54763,x54764),x54765)+E(f333(f333(f333(f73(x54761,x54762),x54763),x54764),x54765),x54763)
% 163.24/162.97 [5916]E(f333(x59161,x59162),x59163)+~E(f333(f333(f333(f73(x59164,x59165),x59161),x59162),x59163),x59161)
% 163.24/162.97 [6011]E(x60111,x60112)+~E(f333(f271(x60113,x60114),f333(f333(f263(x60113,x60114),x60115),x60111)),x60112)
% 163.24/162.97 [6012]E(x60121,x60122)+~E(f333(f262(x60123,x60124),f333(f333(f263(x60123,x60124),x60121),x60125)),x60122)
% 163.24/162.97 [6274]~E(x62743,f333(f333(f127(x62741),x62744),f333(f333(f152(x62741),x62742),x62745)))+P24(f333(f333(f335(x62741),x62742),f333(f173(x62741),x62743)))
% 163.24/162.97 [6659]E(f333(f312(x66591,x66592,f333(f18(x66592,x66591),x66593)),x66594),f333(f333(f311(x66592),x66593),f194(f890(x66592,a874))))+~P24(f333(f333(f335(x66591),x66595),x66594))
% 163.24/162.97 [6729]E(f333(f333(f115(f890(x67291,a874)),f333(f173(x67291),x67292)),f333(f173(x67291),x67293)),f333(f173(x67291),x67294))+~E(f168(x67291,x67295,x67294),f333(f333(f263(f881(x67291),f881(x67291)),x67292),x67293))
% 163.24/162.97 [6822]~P109(x68222)+E(f333(f195(f881(x68221)),f333(f333(f149(x68221,x68222,x68223),x68224),x68225)),f333(a117,f333(f195(f881(x68221)),x68225)))
% 163.24/162.97 [6834]~P109(x68342)+E(f333(f173(x68341),f333(f333(f149(x68341,x68342,x68343),x68344),x68345)),f333(f333(f311(x68341),x68344),f333(f173(x68341),x68345)))
% 163.24/162.97 [7106]~P115(x71061)+E(f333(f333(f81(x71061),f333(f333(f81(x71061),x71062),x71063)),f333(f333(f81(x71061),x71064),x71065)),f333(f333(f81(x71061),f333(f333(f81(x71061),x71062),x71064)),f333(f333(f81(x71061),x71063),x71065)))
% 163.24/162.97 [7107]~P115(x71071)+E(f333(f333(f82(x71071),f333(f333(f82(x71071),x71072),x71073)),f333(f333(f82(x71071),x71074),x71075)),f333(f333(f82(x71071),f333(f333(f82(x71071),x71072),x71074)),f333(f333(f82(x71071),x71073),x71075)))
% 163.24/162.97 [7108]~P63(x71081)+E(f333(f333(f291(x71081),f333(f333(f82(x71081),x71082),x71083)),f333(f333(f82(x71081),x71084),x71085)),f333(f333(f82(x71081),f333(f333(f291(x71081),x71082),x71084)),f333(f333(f291(x71081),x71083),x71085)))
% 163.24/162.97 [7122]~P109(x71221)+E(f307(x71221,f333(f333(f249(x71221),x71222),x71223),f333(f333(f248(x71221),x71224),x71225)),f333(f333(f106(f890(x71221,a874)),f307(x71221,x71222,x71224)),f307(x71221,x71223,x71225)))
% 163.24/162.97 [7123]~P109(x71231)+E(f306(x71231,f333(f333(f249(x71231),x71232),x71233),f333(f333(f248(x71231),x71234),x71235)),f333(f333(f106(f890(x71231,a874)),f306(x71231,x71232,x71234)),f306(x71231,x71233,x71235)))
% 163.24/162.97 [7124]~P109(x71241)+E(f304(x71241,f333(f333(f249(x71241),x71242),x71243),f333(f333(f248(x71241),x71244),x71245)),f333(f333(f106(f890(x71241,a874)),f304(x71241,x71242,x71244)),f304(x71241,x71243,x71245)))
% 163.24/162.97 [7125]~P109(x71251)+E(f333(f333(f106(f890(x71251,a874)),f333(f303(x71251,x71252),x71253)),f333(f303(x71251,x71254),x71255)),f333(f303(x71251,f333(f333(f249(x71251),x71252),x71254)),f333(f333(f248(x71251),x71253),x71255)))
% 163.24/162.97 [7240]~P24(f333(x72401,f484(x72403,x72402,x72401)))+P24(f333(x72401,f333(f333(f263(x72402,x72403),x72404),x72405)))
% 163.24/162.97 [7318]~E(f333(x73183,x73184),f197(x73182))+E(f186(x73181,x73182,f333(f333(f333(f73(x73181,f884(x73182)),x73183),x73184),f333(f242(x73182),x73185))),f333(f333(f311(x73182),x73185),f186(x73181,x73182,x73183)))
% 163.24/162.97 [7339]~E(x73392,f333(x73394,x73395))+P24(f333(f333(f335(x73391),x73392),f333(f312(x73393,x73391,x73394),f258(f890(x73393,a874)))))
% 163.24/162.97 [7396]~E(f333(x73963,x73964),f197(x73962))+E(f333(f333(f3(f890(x73961,a874)),f184(x73961,x73962,x73963)),f333(f333(f311(x73961),x73964),x73965)),f333(f333(f3(f890(x73961,a874)),f184(x73961,x73962,x73963)),x73965))
% 163.24/162.97 [7415]~P12(x74153,x74152,x74154)+P12(x74151,x74152,f333(f333(f10(x74153,f890(x74152,x74152),x74151),x74154),x74155))
% 163.24/162.97 [7416]~P11(x74163,x74162,x74164)+P11(x74161,x74162,f333(f333(f10(x74163,f890(x74162,x74162),x74161),x74164),x74165))
% 163.24/162.97 [7554]~P21(x75541,x75542,x75543,x75544)+P21(x75541,x75542,x75543,f333(f333(f3(f890(x75541,a874)),x75544),x75545))
% 163.24/162.97 [7708]~P24(f333(f333(x77083,x77084),x77085))+P24(f333(f333(f272(x77081,x77082,a874),x77083),f333(f333(f263(x77081,x77082),x77084),x77085)))
% 163.24/162.97 [7823]~P24(f333(x78232,x78234))+~E(f333(f333(f139(x78231),f333(f195(f881(x78231)),f177(x78231,x78232,x78233))),x78233),f333(f333(f152(x78231),x78234),x78235))
% 163.24/162.97 [7843]P21(x78431,x78432,x78433,x78434)+~P21(x78431,x78432,x78433,f333(f333(f115(f890(x78431,a874)),x78435),x78434))
% 163.24/162.97 [7844]P21(x78441,x78442,x78443,x78444)+~P21(x78441,x78442,x78443,f333(f333(f115(f890(x78441,a874)),x78444),x78445))
% 163.24/162.97 [7886]~P109(x78862)+E(f333(f333(f149(x78861,x78862,x78863),x78864),f151(x78861,x78862,x78863,x78865)),f151(x78861,x78862,x78863,f333(f333(f152(x78861),x78864),x78865)))
% 163.24/162.97 [8045]~P32(x80451,f333(a117,x80452),f333(f333(f333(f93(x80451),x80453),f333(a26,x80454)),x80455))+P32(x80451,x80452,f333(f333(f333(f93(x80451),x80453),f333(f246(a875),f333(a28,x80454))),x80455))
% 163.24/162.97 [8185]P32(x81851,f333(a117,x81852),f333(f333(f333(f93(x81851),x81853),f333(a26,x81854)),x81855))+~P32(x81851,x81852,f333(f333(f333(f93(x81851),x81853),f333(f246(a875),f333(a28,x81854))),x81855))
% 163.24/162.97 [8213]~P11(x82132,x82131,x82133)+E(f333(f143(x82131,x82132,f333(f9(x82132,x82131,x82131),x82133),x82134),x82135),f333(f333(f66(x82132,x82131,x82133),x82134),f333(f173(x82132),x82135)))
% 163.24/162.97 [8241]~E(f333(f333(f139(x82411),f333(f195(f881(x82411)),f177(x82411,x82412,x82413))),x82413),f333(f333(f152(x82411),x82414),x82415))+E(f333(f333(f127(x82411),f177(x82411,x82412,x82413)),f333(f333(f152(x82411),x82414),x82415)),x82413)
% 163.24/162.97 [8265]P24(f333(f333(x82651,x82652),x82653))+~P24(f333(f333(f272(x82654,x82655,a874),x82651),f333(f333(f263(x82654,x82655),x82652),x82653)))
% 163.24/162.97 [8324]~E(f333(f333(f178(x83241,x83242),x83245),x83243),f333(f242(x83242),x83244))+P24(f333(f333(f335(f889(x83241,x83242)),f333(f333(f263(x83241,x83242),x83243),x83244)),f333(f173(f889(x83241,x83242)),x83245)))
% 163.24/162.97 [8719]P24(f333(f333(f250(f890(x87191,a874)),f333(f313(x87191,x87192,x87193),x87194)),f333(f313(x87191,x87192,x87193),x87195)))+~P24(f333(f333(f250(f890(x87192,a874)),x87194),x87195))
% 163.24/162.97 [8720]P24(f333(f333(f250(f890(x87201,a874)),f333(f312(x87202,x87201,x87203),x87204)),f333(f312(x87202,x87201,x87203),x87205)))+~P24(f333(f333(f250(f890(x87202,a874)),x87204),x87205))
% 163.24/162.97 [8798]E(x87981,f2(a104))+E(f333(f333(f274(x87982,x87983,x87982,f889(x87983,x87982)),f333(x87984,x87985)),f282(x87983,x87982,f333(f333(f3(a104),x87981),f79(a104)),x87984)),f333(f282(x87983,x87982,x87981,x87984),x87985))
% 163.24/162.97 [9111]P32(x91111,x91112,f333(f333(f333(f93(x91111),x91113),x91114),x91115))+P24(f333(f333(x91113,f853(x91115,x91114,x91113,x91112)),f855(x91115,x91114,x91113,x91112)))
% 163.24/162.97 [9317]E(f333(f242(x93171),f563(x93172,x93173,x93174,x93171,x93175)),f333(f333(f178(x93175,x93171),x93172),x93174))+~P24(f333(f333(f335(f889(x93175,x93171)),f333(f333(f263(x93175,x93171),x93174),x93173)),f333(f173(f889(x93175,x93171)),x93172)))
% 163.24/162.97 [9366]P32(x93661,x93662,f333(f333(f333(f93(x93661),x93663),x93664),x93665))+~P24(f333(f333(x93665,f853(x93665,x93664,x93663,x93662)),f856(x93665,x93664,x93663,x93662)))
% 163.24/162.97 [9418]P32(x94181,x94182,f333(f333(f333(f93(x94181),x94183),x94184),x94185))+P24(f333(f333(f333(f333(a203,x94184),f855(x94185,x94184,x94183,x94182)),x94182),f856(x94185,x94184,x94183,x94182)))
% 163.24/162.97 [9422]~P20(x94221,x94222,f333(f333(f311(f879(x94221)),f333(f333(f333(f93(x94221),x94223),f333(f246(a875),f333(a28,x94224))),x94225)),f194(f890(f879(x94221),a874))))+P20(x94221,x94222,f333(f333(f311(f879(x94221)),f333(f333(f333(f93(x94221),x94223),f333(a26,x94224)),x94225)),f194(f890(f879(x94221),a874))))
% 163.24/162.97 [9448]~P24(f333(f63(x94483),f333(f312(x94482,x94483,x94485),f258(f890(x94482,a874)))))+P24(f333(f63(x94481),f333(f312(x94482,x94481,f333(f333(f10(x94483,x94481,x94482),x94484),x94485)),f258(f890(x94482,a874)))))
% 163.24/162.97 [9470]P24(f333(f333(f250(f890(f890(x94701,a874),a874)),f333(f312(f890(x94702,a874),f890(x94701,a874),f312(x94702,x94701,x94703)),f333(f310(x94702),x94704))),f333(f310(x94701),x94705)))+~P24(f333(f333(f250(f890(x94701,a874)),f333(f312(x94702,x94701,x94703),x94704)),x94705))
% 163.24/162.97 [9487]~P24(f333(f63(f884(x94871)),f333(f312(x94872,f884(x94871),x94873),f258(f890(x94872,a874)))))+P24(f333(f63(f884(x94871)),f333(f312(x94872,f884(x94871),f333(f333(f333(f73(x94872,f884(x94871)),x94873),x94874),f333(f242(x94871),x94875))),f258(f890(x94872,a874)))))
% 163.24/162.97 [9558]E(x95581,x95582)+~P24(f333(f68(x95583,x95584,x95585,x95581,f194(f890(x95583,a874))),x95582))
% 163.24/162.97 [9571]E(f333(f333(f263(x95711,x95712),f687(x95713,x95714,x95715,x95712,x95711)),f690(x95713,x95714,x95715,x95712,x95711)),x95715)+~P24(f333(f333(f335(f889(x95711,x95712)),x95715),f333(f333(f270(x95711,x95712),x95714),x95713)))
% 163.24/162.97 [9675]P24(f333(f333(f335(x96751),f687(x96752,x96753,x96754,x96755,x96751)),x96753))+~P24(f333(f333(f335(f889(x96751,x96755)),x96754),f333(f333(f270(x96751,x96755),x96753),x96752)))
% 163.24/162.97 [9798]P20(x97985,x97984,f333(f333(f311(f879(x97985)),f333(f333(f333(f93(x97985),x97981),x97983),x97982)),f194(f890(f879(x97985),a874))))+P24(f333(f333(x97981,f692(x97982,x97983,x97984,x97985,x97981)),f693(x97982,x97983,x97984,x97985,x97981)))
% 163.24/162.97 [9850]P24(f333(f333(f335(x98501),f690(x98502,x98503,x98504,x98501,x98505)),f333(x98502,f687(x98502,x98503,x98504,x98501,x98505))))+~P24(f333(f333(f335(f889(x98505,x98501)),x98504),f333(f333(f270(x98505,x98501),x98503),x98502)))
% 163.24/162.97 [9868]P24(f333(f333(f335(f889(x98681,x98681)),f333(f333(f263(x98681,x98681),x98682),f782(x98683,x98684,x98685,x98682,x98681))),x98683))+~P24(f333(f333(f335(f889(x98681,x98681)),f333(f333(f263(x98681,x98681),x98682),x98685)),f333(f333(f189(f889(x98681,x98681),a874),f333(a117,x98684)),x98683)))
% 163.24/162.97 [9869]P24(f333(f333(f335(f889(x98691,x98691)),f333(f333(f263(x98691,x98691),x98692),f790(x98693,x98694,x98695,x98692,x98691))),x98693))+~P24(f333(f333(f335(f889(x98691,x98691)),f333(f333(f263(x98691,x98691),x98692),x98695)),f333(f333(f189(f889(x98691,x98691),a874),f333(a117,x98694)),x98693)))
% 163.24/162.97 [9887]~P24(f333(f333(f335(f889(f881(x98871),f881(x98871))),f333(f333(f263(f881(x98871),f881(x98871)),f333(f333(f152(x98871),x98872),x98875)),x98874)),f159(x98871,x98873)))+P24(f333(f333(f335(f889(x98871,x98871)),f333(f333(f263(x98871,x98871),x98872),f597(x98873,x98874,x98875,x98872,x98871))),x98873))
% 163.24/162.97 [9889]~P20(x98891,x98892,f333(f333(f311(f879(x98891)),f333(f333(f333(f93(x98891),f96(x98891,x98893,x98894)),x98895),x98893)),f194(f890(f879(x98891),a874))))+P20(x98891,x98892,f333(f333(f311(f879(x98891)),f333(f333(f333(f93(x98891),x98893),f33(x98894,x98895)),f96(x98891,x98893,f333(f74(a874,a874,a876,a328),x98894)))),f194(f890(f879(x98891),a874))))
% 163.24/162.97 [9890]~P23(x98901,x98902,f333(f333(f311(f879(x98901)),f333(f333(f333(f93(x98901),f96(x98901,x98903,x98904)),x98905),x98903)),f194(f890(f879(x98901),a874))))+P23(x98901,x98902,f333(f333(f311(f879(x98901)),f333(f333(f333(f93(x98901),x98903),f33(x98904,x98905)),f96(x98901,x98903,f333(f74(a874,a874,a876,a328),x98904)))),f194(f890(f879(x98901),a874))))
% 163.24/162.97 [10162]P20(x101621,x101622,f333(f333(f311(f879(x101621)),f333(f333(f333(f93(x101621),x101623),x101624),x101625)),f194(f890(f879(x101621),a874))))+~P20(x101621,x101622,f333(f333(f311(f879(x101621)),f333(f333(f333(f93(x101621),f333(f18(f890(a876,a874),x101621),f333(f333(f9(a876,a876,a874),a330),f693(x101625,x101624,x101622,x101621,x101623)))),x101624),f333(f18(f890(a876,a874),x101621),f333(x101625,f692(x101625,x101624,x101622,x101621,x101623))))),f194(f890(f879(x101621),a874))))
% 163.24/162.97 [6345]P24(f333(x63452,x63454))+E(f177(x63451,x63452,f333(f333(f127(x63451),x63453),f333(f333(f152(x63451),x63454),x63455))),f177(x63451,x63452,x63453))
% 163.24/162.97 [6395]~P26(x63952)+E(f333(f333(f333(f115(f890(x63951,x63952)),x63953),x63954),x63955),f333(f333(f115(x63952),f333(x63953,x63955)),f333(x63954,x63955)))
% 163.24/162.97 [6397]~P67(x63972)+E(f333(f333(f333(f3(f890(x63971,x63972)),x63973),x63974),x63975),f333(f333(f3(x63972),f333(x63973,x63975)),f333(x63974,x63975)))
% 163.24/162.97 [6399]~P26(x63992)+E(f333(f333(f333(f106(f890(x63991,x63992)),x63993),x63994),x63995),f333(f333(f106(x63992),f333(x63993,x63995)),f333(x63994,x63995)))
% 163.24/162.97 [6417]E(x64171,x64172)+E(f333(f333(f166(x64173),f333(f333(f160(x64173,x64174),x64171),x64175)),x64172),f333(f333(f166(x64173),x64174),x64172))
% 163.24/162.97 [6677]~E(x66774,f194(f890(x66773,a874)))+E(f333(f333(f115(f890(x66771,a874)),x66772),f333(f333(f44(x66773,f890(x66771,a874)),x66774),x66775)),x66772)
% 163.24/162.97 [6678]~E(x66784,f194(f890(x66783,a874)))+E(f333(f333(f3(f890(x66781,a874)),x66782),f333(f333(f44(x66783,f890(x66781,a874)),x66784),x66785)),x66782)
% 163.24/162.97 [6679]~E(x66794,f194(f890(x66793,a874)))+E(f333(f333(f106(f890(x66791,a874)),x66792),f333(f333(f43(x66793,f890(x66791,a874)),x66794),x66795)),x66792)
% 163.24/162.97 [6693]~E(x66934,f194(f890(x66933,a874)))+E(f333(f333(f311(x66931),x66932),f333(f333(f44(x66933,f890(x66931,a874)),x66934),x66935)),f333(f333(f311(x66931),x66932),f194(f890(x66931,a874))))
% 163.24/162.97 [7464]E(f333(f333(f166(x74641),f333(f333(f155(x74642,x74641),x74643),x74644)),x74645),f333(x74643,f333(f333(f166(x74642),x74644),x74645)))+~P24(f333(f333(f251(a880),x74645),f333(f195(f881(x74642)),x74644)))
% 163.24/162.97 [7527]E(f333(f333(f115(f890(x75271,a874)),f333(x75272,x75273)),f333(f333(f44(x75274,f890(x75271,a874)),x75275),x75272)),f333(f333(f44(x75274,f890(x75271,a874)),x75275),x75272))+~P24(f333(f333(f335(x75274),x75273),x75275))
% 163.24/162.97 [7528]E(f333(f333(f106(f890(x75281,a874)),f333(x75282,x75283)),f333(f333(f43(x75284,f890(x75281,a874)),x75285),x75282)),f333(f333(f43(x75284,f890(x75281,a874)),x75285),x75282))+~P24(f333(f333(f335(x75284),x75283),x75285))
% 163.24/162.97 [8130]~E(x81303,f194(f890(x81301,a874)))+E(f333(f333(f44(x81301,f890(x81302,a874)),x81303),f333(f333(f10(f890(x81302,a874),f890(x81302,a874),x81301),f333(f311(x81302),x81304)),x81305)),f194(f890(x81302,a874)))
% 163.24/162.97 [8136]~P24(f333(f333(f335(x81364),x81363),x81365))+P24(f333(f333(f250(f890(x81361,a874)),f333(x81362,x81363)),f333(f333(f44(x81364,f890(x81361,a874)),x81365),x81362)))
% 163.24/162.97 [8264]~E(f333(x82644,x82642),x82645)+P24(f333(f333(f335(x82641),x82642),f333(f313(x82641,x82643,x82644),f333(f333(f311(x82643),x82645),f194(f890(x82643,a874))))))
% 163.24/162.97 [8310]~P54(x83101,x83102,f333(f288(x83102,x83101),x83103))+E(f333(f333(f106(f890(x83101,a874)),f333(f287(x83102,x83101,x83103),x83104)),f333(f287(x83102,x83101,x83103),x83105)),f333(f287(x83102,x83101,x83103),f333(f333(f106(f890(x83102,a874)),x83104),x83105)))
% 163.24/162.97 [8385]E(x83851,f2(a104))+E(f333(f123(x83852,x83853,f333(x83854,f333(f333(f3(a104),x83851),f79(a104)))),f333(f333(f9(x83852,a104,f882(x83853)),x83855),x83851)),f333(f207(x83852,x83853,x83854,x83855),x83851))
% 163.24/162.97 [8425]E(x84251,f194(f890(x84252,a874)))+E(f333(f333(f44(x84252,f890(x84253,a874)),x84251),f333(f333(f10(f890(x84253,a874),f890(x84253,a874),x84252),f333(f311(x84253),x84254)),x84255)),f333(f333(f311(x84253),x84254),f333(f333(f44(x84252,f890(x84253,a874)),x84251),x84255)))
% 163.24/162.97 [8480]~P21(x84802,x84801,x84803,f258(f890(x84802,a874)))+E(f333(f333(f3(f890(x84801,a874)),f333(f312(x84802,x84801,x84803),x84804)),f333(f312(x84802,x84801,x84803),x84805)),f333(f312(x84802,x84801,x84803),f333(f333(f3(f890(x84802,a874)),x84804),x84805)))
% 163.24/162.97 [8481]~P21(x84812,x84811,x84813,f258(f890(x84812,a874)))+E(f333(f333(f106(f890(x84811,a874)),f333(f312(x84812,x84811,x84813),x84814)),f333(f312(x84812,x84811,x84813),x84815)),f333(f312(x84812,x84811,x84813),f333(f333(f106(f890(x84812,a874)),x84814),x84815)))
% 163.24/162.97 [8549]~P24(f333(f333(f69(x85491,x85492,x85495),x85493),x85494))+P24(f333(f333(f335(f889(x85491,x85492)),f333(f333(f263(x85491,x85492),x85493),x85494)),x85495))
% 163.24/162.97 [8580]P24(f333(f333(f335(x85801),x85802),f333(f259(x85803,x85801),x85804)))+~P24(f333(f333(f335(f889(x85803,x85801)),f333(f333(f263(x85803,x85801),x85805),x85802)),x85804))
% 163.24/162.97 [8582]P24(f333(f333(f335(x85821),x85822),f333(f261(x85821,x85823),x85824)))+~P24(f333(f333(f335(f889(x85821,x85823)),f333(f333(f263(x85821,x85823),x85822),x85825)),x85824))
% 163.24/162.97 [8705]P24(f333(f333(f69(x87051,x87052,x87053),x87054),x87055))+~P24(f333(f333(f335(f889(x87051,x87052)),f333(f333(f263(x87051,x87052),x87054),x87055)),x87053))
% 163.24/162.97 [8735]E(f333(x87351,x87352),x87353)+~P24(f333(f333(f335(x87354),x87352),f333(f313(x87354,x87355,x87351),f333(f333(f311(x87355),x87353),f194(f890(x87355,a874))))))
% 163.24/162.97 [8978]P24(f333(f333(f335(f889(x89781,x89782)),f333(f333(f263(x89781,x89782),x89783),x89784)),f333(f288(x89782,x89781),x89785)))+~P24(f333(f333(f335(f889(x89782,x89781)),f333(f333(f263(x89782,x89781),x89784),x89783)),x89785))
% 163.24/162.97 [8996]~P24(f333(f333(x89961,x89965),x89964))+P24(f333(f333(x89961,f333(f271(x89962,x89963),f333(f333(f263(x89962,x89963),x89964),x89965))),f333(f262(x89962,x89963),f333(f333(f263(x89962,x89963),x89964),x89965))))
% 163.24/162.97 [9026]~P24(f333(f333(f335(f889(x90262,x90261)),f333(f333(f263(x90262,x90261),x90264),x90263)),f333(f288(x90261,x90262),x90265)))+P24(f333(f333(f335(f889(x90261,x90262)),f333(f333(f263(x90261,x90262),x90263),x90264)),x90265))
% 163.24/162.97 [9049]~P24(f333(f333(f335(f889(x90493,x90491)),f333(f333(f263(x90493,x90491),x90495),x90492)),x90494))+P24(f333(f333(f335(x90491),x90492),f333(f287(x90493,x90491,x90494),f333(f333(f311(x90493),x90495),f194(f890(x90493,a874))))))
% 163.24/162.97 [9092]P24(f333(f333(f335(f889(x90921,x90922)),f333(f333(f263(x90921,x90922),x90923),x90924)),x90925))+~P24(f333(f333(f335(x90922),x90924),f333(f287(x90921,x90922,x90925),f333(f333(f311(x90921),x90923),f194(f890(x90921,a874))))))
% 163.24/162.97 [9114]E(f333(f333(f333(f73(x91141,f884(x91142)),f188(x91141,x91142,x91143,x91144)),x91145),f197(x91142)),f188(x91141,x91142,x91143,f333(f333(f3(f890(x91141,a874)),x91144),f333(f333(f311(x91141),x91145),f194(f890(x91141,a874))))))+~P24(f333(f333(f335(x91141),x91145),x91144))
% 163.24/162.97 [9187]~P69(x91871)+E(f333(f333(f8(a880,x91871),x91872),f304(a880,f333(f333(f81(a880),x91873),x91874),f333(f333(f81(a880),x91875),x91874))),f333(f333(f8(a880,x91871),f333(f333(f10(a880,x91871,a880),x91872),f333(f333(f9(a880,a880,a880),f81(a880)),x91874))),f304(a880,x91873,x91875)))
% 163.24/162.97 [9209]~P69(x92091)+E(f333(f333(f8(a880,x92091),x92092),f333(f303(a880,f333(f333(f81(a880),x92093),x92094)),f333(f333(f81(a880),x92095),x92094))),f333(f333(f8(a880,x92091),f333(f333(f10(a880,x92091,a880),x92092),f333(f333(f9(a880,a880,a880),f81(a880)),x92094))),f333(f303(a880,x92093),x92095)))
% 163.24/162.97 [9262]~P21(x92621,x92622,x92623,f258(f890(x92621,a874)))+E(f333(f333(f155(x92621,x92622),x92623),f333(f137(x92621,f333(f333(f10(a874,a874,x92621),a328),f333(a330,x92624))),x92625)),f333(f137(x92622,f333(f333(f10(a874,a874,x92622),a328),f333(a330,f333(x92623,x92624)))),f333(f333(f155(x92621,x92622),x92623),x92625)))
% 163.24/162.97 [9283]~P21(x92831,x92832,x92833,f333(f333(f311(x92831),x92834),f333(f173(x92831),x92835)))+E(f333(f333(f155(x92831,x92832),x92833),f333(f137(x92831,f333(f333(f10(a874,a874,x92831),a328),f333(a330,x92834))),x92835)),f333(f137(x92832,f333(f333(f10(a874,a874,x92832),a328),f333(a330,f333(x92833,x92834)))),f333(f333(f155(x92831,x92832),x92833),x92835)))
% 163.24/162.97 [9435]P24(f333(f333(f335(f889(f881(x94351),f881(x94351))),f333(f333(f263(f881(x94351),f881(x94351)),f333(f333(f152(x94351),x94352),x94353)),f333(f333(f152(x94351),x94354),x94353))),f158(x94351,x94355)))+~P24(f333(f333(f335(f889(x94351,x94351)),f333(f333(f263(x94351,x94351),x94352),x94354)),x94355))
% 163.24/162.97 [9475]P24(f333(f333(f333(f333(a203,x94751),x94752),x94753),f858(x94754,x94753,x94752,x94755,x94751)))+~P24(f333(f333(f333(f333(a203,f34(x94751,x94755)),x94752),x94753),x94754))
% 163.24/162.97 [9556]P20(x95561,x95562,f333(f333(f311(f879(x95561)),f333(f333(f333(f93(x95561),x95563),f333(a26,x95564)),x95565)),f194(f890(f879(x95561),a874))))+~P20(x95561,f333(f333(f311(f879(x95561)),f333(f333(f333(f93(x95561),x95563),f333(a26,x95564)),x95565)),x95562),f333(f333(f311(f879(x95561)),f333(f333(f333(f93(x95561),x95563),f333(f246(a875),f333(a28,x95564))),x95565)),f194(f890(f879(x95561),a874))))
% 163.24/162.97 [9566]E(f333(f333(f311(x95661),f818(x95662,x95663,x95664,x95665,x95661)),f825(x95662,x95663,x95664,x95665,x95661)),f333(f333(f311(x95661),x95664),x95663))+~P24(f333(f64(x95661,x95665,f333(f333(f311(x95661),x95664),x95663)),x95662))
% 163.24/162.97 [9567]E(f333(f333(f311(x95671),f826(x95672,x95673,x95674,x95675,x95671)),f827(x95672,x95673,x95674,x95675,x95671)),f333(f333(f311(x95671),x95674),x95673))+~P24(f333(f64(x95671,x95675,f333(f333(f311(x95671),x95674),x95673)),x95672))
% 163.24/162.97 [9661]P24(f333(f333(f335(x96611),f530(x96612,x96613,x96614,x96615,x96611)),x96614))+P24(f333(f333(f333(f43(x96611,f890(x96615,a874)),x96614),x96613),x96612))
% 163.24/162.97 [9666]P24(f333(f333(f335(x96661),f522(x96662,x96663,x96661,x96664,x96665)),x96663))+P24(f333(f333(f335(x96665),x96664),f333(f333(f43(x96661,f890(x96665,a874)),x96663),x96662)))
% 163.24/162.97 [9674]P24(f333(f333(f335(x96741),f526(x96742,x96743,x96741,x96744,x96745)),x96743))+P24(f333(f333(f250(f890(x96745,a874)),x96744),f333(f333(f43(x96741,f890(x96745,a874)),x96743),x96742)))
% 163.24/162.97 [9676]P24(f333(f333(x96761,f544(x96762,x96761,x96763,x96764,x96765)),x96762))+~P24(f333(f333(f333(f44(x96765,f890(x96764,a874)),x96763),x96761),x96762))
% 163.24/162.97 [9679]P24(f333(f333(f335(x96791),f544(x96792,x96793,x96794,x96795,x96791)),x96794))+~P24(f333(f333(f333(f44(x96791,f890(x96795,a874)),x96794),x96793),x96792))
% 163.24/162.97 [9690]P24(f333(f333(f335(x96901),f538(x96902,x96903,x96901,x96904,x96905)),x96903))+~P24(f333(f333(f335(x96905),x96904),f333(f333(f44(x96901,f890(x96905,a874)),x96903),x96902)))
% 163.24/162.97 [9695]P24(f333(f333(f335(x96951),x96952),f333(x96953,f538(x96953,x96954,x96955,x96952,x96951))))+~P24(f333(f333(f335(x96951),x96952),f333(f333(f44(x96955,f890(x96951,a874)),x96954),x96953)))
% 163.24/162.97 [9803]~P24(f333(f333(x98034,f530(x98035,x98034,x98033,x98032,x98031)),x98035))+P24(f333(f333(f333(f43(x98031,f890(x98032,a874)),x98033),x98034),x98035))
% 163.24/162.97 [9806]~P24(f333(f333(f335(x98061),x98062),f333(x98065,f522(x98065,x98064,x98063,x98062,x98061))))+P24(f333(f333(f335(x98061),x98062),f333(f333(f43(x98063,f890(x98061,a874)),x98064),x98065)))
% 163.24/162.97 [9808]~P24(f333(f333(f250(f890(x98081,a874)),x98082),f333(x98085,f526(x98085,x98084,x98083,x98082,x98081))))+P24(f333(f333(f250(f890(x98081,a874)),x98082),f333(f333(f43(x98083,f890(x98081,a874)),x98084),x98085)))
% 163.24/162.97 [9854]P24(f333(f333(f333(f333(a203,x98541),f858(x98542,x98543,x98544,x98541,x98545)),x98543),x98542))+~P24(f333(f333(f333(f333(a203,f34(x98545,x98541)),x98544),x98543),x98542))
% 163.24/162.97 [9872]~P24(f333(f333(f335(x98721),f818(x98725,x98724,x98723,x98722,x98721)),f825(x98725,x98724,x98723,x98722,x98721)))+~P24(f333(f64(x98721,x98722,f333(f333(f311(x98721),x98723),x98724)),x98725))
% 163.24/162.97 [9873]~P24(f333(f333(f335(x98731),f826(x98735,x98734,x98733,x98732,x98731)),f827(x98735,x98734,x98733,x98732,x98731)))+~P24(f333(f64(x98731,x98732,f333(f333(f311(x98731),x98733),x98734)),x98735))
% 163.24/162.97 [9874]~P24(f333(f333(f335(f889(x98741,x98741)),f333(f333(f263(x98741,x98741),x98742),x98745)),f333(f333(f189(f889(x98741,x98741),a874),f333(a117,x98744)),x98743)))+P24(f333(f333(f335(f889(x98741,x98741)),f333(f333(f263(x98741,x98741),x98742),f783(x98743,x98744,x98745,x98742,x98741))),f333(f333(f189(f889(x98741,x98741),a874),x98744),x98743)))
% 163.24/162.97 [9881]P24(f333(f68(x98811,x98811,x98812,f818(x98813,x98814,x98815,x98812,x98811),f825(x98813,x98814,x98815,x98812,x98811)),x98813))+~P24(f333(f64(x98811,x98812,f333(f333(f311(x98811),x98815),x98814)),x98813))
% 163.24/162.97 [9882]P24(f333(f68(x98821,x98821,x98822,f826(x98823,x98824,x98825,x98822,x98821),f827(x98823,x98824,x98825,x98822,x98821)),x98823))+~P24(f333(f64(x98821,x98822,f333(f333(f311(x98821),x98825),x98824)),x98823))
% 163.24/162.97 [9893]~P109(x98931)+P31(x98931,f333(f333(f155(x98932,x98931),x98933),f333(f137(x98932,f333(f333(f9(x98932,x98931,a874),f333(f333(f10(x98931,f890(x98931,a874),x98932),a330),x98933)),f333(x98934,x98935))),x98935)))
% 163.24/162.97 [9929]~P24(f333(f333(f335(x99292),x99295),f333(f287(x99291,x99292,x99294),x99293)))+P24(f333(f333(f335(f889(x99291,x99292)),f333(f333(f263(x99291,x99292),f549(x99293,x99294,x99291,x99295,x99292)),x99295)),x99294))
% 163.24/162.97 [9930]~P24(f333(f333(f335(x99302),x99305),f333(f287(x99301,x99302,x99304),x99303)))+P24(f333(f333(f335(f889(x99301,x99302)),f333(f333(f263(x99301,x99302),f577(x99303,x99304,x99301,x99305,x99302)),x99305)),x99304))
% 163.24/162.97 [9935]~P24(f333(f333(f335(f889(x99351,x99351)),f333(f333(f263(x99351,x99351),x99355),x99354)),f333(f333(f189(f889(x99351,x99351),a874),f333(a117,x99353)),x99352)))+P24(f333(f333(f335(f889(x99351,x99351)),f333(f333(f263(x99351,x99351),f783(x99352,x99353,x99354,x99355,x99351)),x99354)),x99352))
% 163.24/162.97 [9947]~P24(f333(f333(f335(f889(x99471,x99471)),f333(f333(f263(x99471,x99471),x99475),x99474)),f333(f333(f189(f889(x99471,x99471),a874),f333(a117,x99473)),x99472)))+P24(f333(f333(f335(f889(x99471,x99471)),f333(f333(f263(x99471,x99471),f782(x99472,x99473,x99474,x99475,x99471)),x99474)),f333(f333(f189(f889(x99471,x99471),a874),x99473),x99472)))
% 163.24/162.97 [9948]~P24(f333(f333(f335(f889(x99481,x99481)),f333(f333(f263(x99481,x99481),x99485),x99484)),f333(f333(f189(f889(x99481,x99481),a874),f333(a117,x99483)),x99482)))+P24(f333(f333(f335(f889(x99481,x99481)),f333(f333(f263(x99481,x99481),f790(x99482,x99483,x99484,x99485,x99481)),x99484)),f333(f333(f189(f889(x99481,x99481),a874),x99483),x99482)))
% 163.24/162.97 [9949]~P24(f333(f333(f335(f889(f881(x99491),f881(x99491))),f333(f333(f263(f881(x99491),f881(x99491)),x99495),f333(f333(f152(x99491),x99494),x99493))),f159(x99491,x99492)))+P24(f333(f333(f335(f889(x99491,x99491)),f333(f333(f263(x99491,x99491),f593(x99492,x99493,x99494,x99495,x99491)),x99494)),x99492))
% 163.24/162.97 [7069]E(x70691,f197(x70692))+E(f184(x70693,x70692,f333(f333(f333(f73(x70693,f884(x70692)),x70694),x70695),x70691)),f333(f333(f311(x70693),x70695),f184(x70693,x70692,x70694)))
% 163.24/162.97 [7548]~E(x75483,f194(f890(x75482,a874)))+E(f333(f333(f115(f890(x75481,a874)),f333(f333(f44(x75482,f890(x75481,a874)),x75483),x75484)),x75485),x75485)
% 163.24/162.97 [7549]~E(x75493,f194(f890(x75492,a874)))+E(f333(f333(f106(f890(x75491,a874)),f333(f333(f43(x75492,f890(x75491,a874)),x75493),x75494)),x75495),x75495)
% 163.24/162.97 [7901]~E(x79015,f197(x79012))+E(f184(x79011,x79012,f333(f333(f333(f73(x79011,f884(x79012)),x79013),x79014),x79015)),f333(f333(f3(f890(x79011,a874)),f184(x79011,x79012,x79013)),f333(f333(f311(x79011),x79014),f194(f890(x79011,a874)))))
% 163.24/162.97 [7964]~E(x79643,f194(f890(x79642,a874)))+E(f333(f333(f3(f890(x79641,a874)),f333(f333(f43(x79642,f890(x79641,a874)),x79643),x79644)),x79645),f333(f333(f3(f890(x79641,a874)),f258(f890(x79641,a874))),x79645))
% 163.24/162.97 [8100]E(f333(f333(f160(x81001,f333(f333(f127(x81001),x81002),x81003)),x81004),x81005),f333(f333(f127(x81001),f333(f333(f160(x81001,x81002),x81004),x81005)),x81003))+~P24(f333(f333(f251(a880),x81004),f333(f195(f881(x81001)),x81002)))
% 163.24/162.97 [8217]P24(f333(f333(f335(x82171),x82175),f333(f173(x82171),x82173)))+E(f333(f333(f178(x82171,x82172),f333(f333(f182(x82171,x82172),x82173),f333(f333(f155(x82171,x82172),x82174),x82173))),x82175),f197(x82172))
% 163.24/162.97 [8334]~P24(f333(f333(f335(x83341),x83345),f333(f173(x83341),x83343)))+E(f333(f333(f178(x83341,x83342),f333(f333(f182(x83341,x83342),x83343),f333(f333(f155(x83341,x83342),x83344),x83343))),x83345),f333(f242(x83342),f333(x83344,x83345)))
% 163.24/162.97 [8375]E(f333(f333(f166(x83751),f333(f333(f155(a880,x83751),x83752),f140(a880,f333(f303(a880,x83753),x83754)))),x83755),f333(x83752,f333(f333(f81(a880),x83753),x83755)))+~P24(f333(f333(f251(a880),x83755),f333(f333(f3(a880),x83754),x83753)))
% 163.24/162.97 [8391]E(x83911,f2(a104))+E(f125(x83912,x83913,f333(x83914,f333(f333(f3(a104),x83911),f79(a104))),f333(f333(f9(x83912,a104,f882(f884(x83913))),x83915),x83911)),f333(f205(x83912,x83913,x83914,x83915),x83911))
% 163.24/162.97 [8412]~E(x84123,f194(f890(x84121,a874)))+E(f333(f333(f43(x84121,f890(x84122,a874)),x84123),f333(f333(f10(f890(x84122,a874),f890(x84122,a874),x84121),f333(f3(f890(x84122,a874)),x84124)),x84125)),f258(f890(x84122,a874)))
% 163.24/162.97 [8413]~E(x84133,f194(f890(x84131,a874)))+E(f333(f333(f43(x84131,f890(x84132,a874)),x84133),f333(f333(f10(f890(x84132,a874),f890(x84132,a874),x84131),f333(f106(f890(x84132,a874)),x84134)),x84135)),f258(f890(x84132,a874)))
% 163.24/162.97 [8414]~E(x84143,f194(f890(x84141,a874)))+E(f333(f333(f44(x84141,f890(x84142,a874)),x84143),f333(f333(f10(f890(x84142,a874),f890(x84142,a874),x84141),f333(f115(f890(x84142,a874)),x84144)),x84145)),f194(f890(x84142,a874)))
% 163.24/162.97 [8419]~P144(x84192)+E(f333(f333(f8(x84191,x84192),f333(f333(f10(x84192,x84192,x84191),f333(f82(x84192),x84193)),x84194)),x84195),f333(f333(f82(x84192),x84193),f333(f333(f8(x84191,x84192),x84194),x84195)))
% 163.24/162.97 [8691]E(x86911,f194(f890(x86912,a874)))+E(f333(f333(f43(x86912,f890(x86913,a874)),x86911),f333(f333(f10(f890(x86913,a874),f890(x86913,a874),x86912),f333(f3(f890(x86913,a874)),x86914)),x86915)),f333(f333(f3(f890(x86913,a874)),x86914),f333(f333(f44(x86912,f890(x86913,a874)),x86911),x86915)))
% 163.24/162.97 [8692]E(x86921,f194(f890(x86922,a874)))+E(f333(f333(f43(x86922,f890(x86923,a874)),x86921),f333(f333(f10(f890(x86923,a874),f890(x86923,a874),x86922),f333(f106(f890(x86923,a874)),x86924)),x86925)),f333(f333(f106(f890(x86923,a874)),x86924),f333(f333(f43(x86922,f890(x86923,a874)),x86921),x86925)))
% 163.24/162.97 [8693]E(x86931,f194(f890(x86932,a874)))+E(f333(f333(f44(x86932,f890(x86933,a874)),x86931),f333(f333(f10(f890(x86933,a874),f890(x86933,a874),x86932),f333(f115(f890(x86933,a874)),x86934)),x86935)),f333(f333(f115(f890(x86933,a874)),x86934),f333(f333(f44(x86932,f890(x86933,a874)),x86931),x86935)))
% 163.24/162.97 [8894]~P24(f333(f333(f251(a880),f333(x88944,x88942)),f333(x88944,x88943)))+P24(f333(f333(f335(f889(x88941,x88941)),f333(f333(f263(x88941,x88941),x88942),x88943)),f154(x88941,f333(f333(f152(f890(x88941,a880)),x88944),x88945))))
% 163.24/162.97 [9154]~P21(x91542,x91541,x91543,f333(f333(f115(f890(x91542,a874)),x91544),x91545))+E(f333(f333(f106(f890(x91541,a874)),f333(f312(x91542,x91541,x91543),f333(f333(f3(f890(x91542,a874)),x91544),x91545))),f333(f312(x91542,x91541,x91543),f333(f333(f3(f890(x91542,a874)),x91545),x91544))),f194(f890(x91541,a874)))
% 163.24/162.97 [9433]~P24(f333(f333(f250(f890(x94333,a874)),f333(f287(x94331,x94333,x94334),x94332)),x94335))+P24(f333(f333(f250(f890(x94331,a874)),x94332),f333(f80(f890(x94331,a874)),f333(f287(x94333,x94331,f333(f288(x94331,x94333),x94334)),f333(f80(f890(x94333,a874)),x94335)))))
% 163.24/162.97 [9456]~P21(x94561,x94562,x94563,f333(f333(f311(x94561),x94564),x94565))+~P24(f333(f333(f335(x94562),f333(x94563,x94564)),f333(f312(x94561,x94562,x94563),f333(f333(f3(f890(x94561,a874)),x94565),f333(f333(f311(x94561),x94564),f194(f890(x94561,a874)))))))
% 163.24/162.97 [9522]P24(f333(f333(f250(f890(x95221,a874)),f333(f287(x95222,x95221,x95223),x95224)),x95225))+~P24(f333(f333(f250(f890(x95222,a874)),x95224),f333(f80(f890(x95222,a874)),f333(f287(x95221,x95222,f333(f288(x95222,x95221),x95223)),f333(f80(f890(x95221,a874)),x95225)))))
% 163.24/162.97 [9602]~P87(x96021)+P24(f333(f333(f250(x96021),f333(f76(x96021),f333(f333(f3(x96021),f333(f333(f81(x96021),x96022),x96023)),f333(f333(f81(x96021),x96024),x96025)))),f333(f333(f81(x96021),f333(f76(x96021),f333(f333(f3(x96021),x96022),x96024))),f333(f76(x96021),f333(f333(f3(x96021),x96023),x96025)))))
% 163.24/162.97 [9710]P24(f333(f333(f335(x97101),f539(x97102,x97103,x97104,x97101,x97105)),x97104))+P24(f333(f333(f250(f890(x97105,a874)),f333(f333(f44(x97101,f890(x97105,a874)),x97104),x97103)),x97102))
% 163.24/162.97 [9911]~P24(f333(f333(f250(f890(x99111,a874)),f333(x99114,f539(x99115,x99114,x99113,x99112,x99111))),x99115))+P24(f333(f333(f250(f890(x99111,a874)),f333(f333(f44(x99112,f890(x99111,a874)),x99113),x99114)),x99115))
% 163.24/162.97 [8530]E(f333(f333(f127(x85301),x85302),f333(f333(f160(x85301,x85303),f333(f333(f3(a880),x85304),f333(f195(f881(x85301)),x85302))),x85305)),f333(f333(f160(x85301,f333(f333(f127(x85301),x85302),x85303)),x85304),x85305))+P24(f333(f333(f251(a880),x85304),f333(f195(f881(x85301)),x85302)))
% 163.24/162.97 [8557]~P138(x85571)+E(f333(f333(f81(x85571),f333(f333(f82(x85571),x85572),x85573)),f333(f333(f81(x85571),f333(f333(f82(x85571),x85574),x85573)),x85575)),f333(f333(f81(x85571),f333(f333(f82(x85571),f333(f333(f81(x85571),x85572),x85574)),x85573)),x85575))
% 163.24/162.97 [9103]~P144(x91031)+E(f333(f167(x91031),f333(f333(f155(x91032,x91031),f333(f333(f10(x91031,x91031,x91032),f333(f82(x91031),x91033)),x91034)),x91035)),f333(f333(f82(x91031),x91033),f333(f167(x91031),f333(f333(f155(x91032,x91031),x91034),x91035))))
% 163.24/162.97 [9282]E(f333(f195(f881(x92821)),f333(f333(f174(x92821),f333(f333(f248(a880),f333(f195(f881(x92821)),x92822)),f333(f195(f881(x92823)),x92824))),x92822)),f333(f195(f881(x92823)),f333(f333(f174(x92823),f333(f333(f248(a880),f333(f195(f881(x92821)),x92822)),f333(f195(f881(x92823)),x92824))),x92824)))+P24(f333(x92825,f333(f333(f182(x92821,x92823),x92822),x92824)))
% 163.24/162.97 [9533]~P144(x95332)+E(f333(f333(f8(x95331,x95332),f333(f333(f9(x95331,x95332,x95332),f333(f333(f10(x95332,f890(x95332,x95332),x95331),f82(x95332)),x95333)),x95334)),x95335),f333(f333(f82(x95332),f333(f333(f8(x95331,x95332),x95333),x95335)),x95334))
% 163.24/162.97 [9534]~P64(x95342)+E(f333(f333(f8(x95341,x95342),f333(f333(f9(x95341,x95342,x95342),f333(f333(f10(x95342,f890(x95342,x95342),x95341),f291(x95342)),x95343)),x95344)),x95345),f333(f333(f291(x95342),f333(f333(f8(x95341,x95342),x95343),x95345)),x95344))
% 163.24/162.97 [9541]~P68(x95412)+E(f333(f333(f8(x95411,x95412),f333(f333(f20(x95411,x95412,x95412),f333(f333(f10(x95412,f890(x95412,x95412),x95411),f3(x95412)),x95413)),x95414)),x95415),f333(f333(f3(x95412),f333(f333(f8(x95411,x95412),x95413),x95415)),f333(f333(f8(x95411,x95412),x95414),x95415)))
% 163.24/162.97 [9542]~P69(x95422)+E(f333(f333(f8(x95421,x95422),f333(f333(f20(x95421,x95422,x95422),f333(f333(f10(x95422,f890(x95422,x95422),x95421),f81(x95422)),x95423)),x95424)),x95425),f333(f333(f81(x95422),f333(f333(f8(x95421,x95422),x95423),x95425)),f333(f333(f8(x95421,x95422),x95424),x95425)))
% 163.24/162.97 [9543]~P76(x95432)+E(f333(f333(f11(x95431,x95432),f333(f333(f20(x95431,x95432,x95432),f333(f333(f10(x95432,f890(x95432,x95432),x95431),f82(x95432)),x95433)),x95434)),x95435),f333(f333(f82(x95432),f333(f333(f11(x95431,x95432),x95433),x95435)),f333(f333(f11(x95431,x95432),x95434),x95435)))
% 163.24/162.97 [9579]~E(x95793,f194(f890(x95791,a874)))+E(f333(f333(f43(x95791,f890(x95792,a874)),x95793),f333(f333(f9(x95791,f890(x95792,a874),f890(x95792,a874)),f333(f333(f10(f890(x95792,a874),f890(f890(x95792,a874),f890(x95792,a874)),x95791),f3(f890(x95792,a874))),x95794)),x95795)),f258(f890(x95792,a874)))
% 163.24/162.97 [9580]~E(x95803,f194(f890(x95801,a874)))+E(f333(f333(f43(x95801,f890(x95802,a874)),x95803),f333(f333(f9(x95801,f890(x95802,a874),f890(x95802,a874)),f333(f333(f10(f890(x95802,a874),f890(f890(x95802,a874),f890(x95802,a874)),x95801),f106(f890(x95802,a874))),x95804)),x95805)),f258(f890(x95802,a874)))
% 163.24/162.97 [9581]~E(x95813,f194(f890(x95811,a874)))+E(f333(f333(f44(x95811,f890(x95812,a874)),x95813),f333(f333(f9(x95811,f890(x95812,a874),f890(x95812,a874)),f333(f333(f10(f890(x95812,a874),f890(f890(x95812,a874),f890(x95812,a874)),x95811),f115(f890(x95812,a874))),x95814)),x95815)),f194(f890(x95812,a874)))
% 163.24/162.97 [9610]E(x96101,f194(f890(x96102,a874)))+E(f333(f333(f43(x96102,f890(x96103,a874)),x96101),f333(f333(f9(x96102,f890(x96103,a874),f890(x96103,a874)),f333(f333(f10(f890(x96103,a874),f890(f890(x96103,a874),f890(x96103,a874)),x96102),f3(f890(x96103,a874))),x96104)),x96105)),f333(f333(f3(f890(x96103,a874)),f333(f333(f43(x96102,f890(x96103,a874)),x96101),x96104)),x96105))
% 163.24/162.97 [9611]E(x96111,f194(f890(x96112,a874)))+E(f333(f333(f43(x96112,f890(x96113,a874)),x96111),f333(f333(f9(x96112,f890(x96113,a874),f890(x96113,a874)),f333(f333(f10(f890(x96113,a874),f890(f890(x96113,a874),f890(x96113,a874)),x96112),f106(f890(x96113,a874))),x96114)),x96115)),f333(f333(f106(f890(x96113,a874)),f333(f333(f43(x96112,f890(x96113,a874)),x96111),x96114)),x96115))
% 163.24/162.97 [9612]E(x96121,f194(f890(x96122,a874)))+E(f333(f333(f44(x96122,f890(x96123,a874)),x96121),f333(f333(f9(x96122,f890(x96123,a874),f890(x96123,a874)),f333(f333(f10(f890(x96123,a874),f890(f890(x96123,a874),f890(x96123,a874)),x96122),f115(f890(x96123,a874))),x96124)),x96125)),f333(f333(f115(f890(x96123,a874)),f333(f333(f44(x96122,f890(x96123,a874)),x96121),x96124)),x96125))
% 163.24/162.97 [9161]~P24(f333(f333(f250(a880),x91611),x91614))+E(f333(f333(f3(a880),f333(f333(f81(a880),f333(f333(f82(a880),x91611),x91612)),x91613)),f333(f333(f81(a880),f333(f333(f82(a880),x91614),x91612)),x91615)),f333(f333(f3(a880),x91613),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x91614),x91611)),x91612)),x91615)))
% 163.24/162.97 [9781]~P144(x97811)+E(f333(f167(x97811),f333(f333(f155(x97812,x97811),f333(f333(f9(x97812,x97811,x97811),f333(f333(f10(x97811,f890(x97811,x97811),x97812),f82(x97811)),x97813)),x97814)),x97815)),f333(f333(f82(x97811),f333(f167(x97811),f333(f333(f155(x97812,x97811),x97813),x97815))),x97814))
% 163.24/162.97 [9791]~P68(x97911)+E(f333(f167(x97911),f333(f333(f155(x97912,x97911),f333(f333(f20(x97912,x97911,x97911),f333(f333(f10(x97911,f890(x97911,x97911),x97912),f3(x97911)),x97913)),x97914)),x97915)),f333(f333(f3(x97911),f333(f167(x97911),f333(f333(f155(x97912,x97911),x97913),x97915))),f333(f167(x97911),f333(f333(f155(x97912,x97911),x97914),x97915))))
% 163.24/162.97 [9792]~P69(x97921)+E(f333(f167(x97921),f333(f333(f155(x97922,x97921),f333(f333(f20(x97922,x97921,x97921),f333(f333(f10(x97921,f890(x97921,x97921),x97922),f81(x97921)),x97923)),x97924)),x97925)),f333(f333(f81(x97921),f333(f167(x97921),f333(f333(f155(x97922,x97921),x97923),x97925))),f333(f167(x97921),f333(f333(f155(x97922,x97921),x97924),x97925))))
% 163.24/162.97 [9921]P24(f333(x99211,f333(f333(f182(x99212,x99213),x99214),x99215)))+~P24(f333(x99211,f333(f333(f182(x99212,x99213),f333(f333(f174(x99212),f333(f333(f248(a880),f333(f195(f881(x99212)),x99214)),f333(f195(f881(x99213)),x99215))),x99214)),f333(f333(f174(x99213),f333(f333(f248(a880),f333(f195(f881(x99212)),x99214)),f333(f195(f881(x99213)),x99215))),x99215))))
% 163.24/162.97 [9401]~P24(f333(f333(f250(a880),x94014),x94011))+E(f333(f333(f3(a880),f333(f333(f81(a880),f333(f333(f82(a880),x94011),x94012)),x94013)),f333(f333(f81(a880),f333(f333(f82(a880),x94014),x94012)),x94015)),f333(f333(f3(a880),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x94011),x94014)),x94012)),x94013)),x94015))
% 163.24/162.97 [10198]P20(x101981,x101982,f333(f312(a877,f879(x101981),f333(f333(f20(a877,f890(x101981,f890(a876,a874)),f879(x101981)),f333(f333(f20(a877,a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),f333(f333(f10(f890(x101981,f890(a876,a874)),f890(a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),a877),f93(x101981)),x101983)),a26)),x101984)),x101985))+~P20(x101981,f333(f333(f115(f890(f879(x101981),a874)),x101982),f333(f312(a877,f879(x101981),f333(f333(f20(a877,f890(x101981,f890(a876,a874)),f879(x101981)),f333(f333(f20(a877,a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),f333(f333(f10(f890(x101981,f890(a876,a874)),f890(a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),a877),f93(x101981)),x101983)),a26)),x101984)),x101985)),f333(f312(a877,f879(x101981),f333(f333(f20(a877,f890(x101981,f890(a876,a874)),f879(x101981)),f333(f333(f20(a877,a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),f333(f333(f10(f890(x101981,f890(a876,a874)),f890(a875,f890(f890(x101981,f890(a876,a874)),f879(x101981))),a877),f93(x101981)),x101983)),f333(f333(f10(f884(a875),a875,a877),f246(a875)),a28))),x101984)),x101985))
% 163.24/162.97 [10199]P23(x101991,x101992,f333(f312(a877,f879(x101991),f333(f333(f20(a877,f890(x101991,f890(a876,a874)),f879(x101991)),f333(f333(f20(a877,a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),f333(f333(f10(f890(x101991,f890(a876,a874)),f890(a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),a877),f93(x101991)),x101993)),a26)),x101994)),x101995))+~P23(x101991,f333(f333(f115(f890(f879(x101991),a874)),x101992),f333(f312(a877,f879(x101991),f333(f333(f20(a877,f890(x101991,f890(a876,a874)),f879(x101991)),f333(f333(f20(a877,a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),f333(f333(f10(f890(x101991,f890(a876,a874)),f890(a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),a877),f93(x101991)),x101993)),a26)),x101994)),x101995)),f333(f312(a877,f879(x101991),f333(f333(f20(a877,f890(x101991,f890(a876,a874)),f879(x101991)),f333(f333(f20(a877,a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),f333(f333(f10(f890(x101991,f890(a876,a874)),f890(a875,f890(f890(x101991,f890(a876,a874)),f879(x101991))),a877),f93(x101991)),x101993)),f333(f333(f10(f884(a875),a875,a877),f246(a875)),a28))),x101994)),x101995))
% 163.24/162.97 [5281]E(x52811,x52812)+~E(f29(x52813,x52814,x52811),f29(x52815,x52816,x52812))
% 163.24/162.97 [5282]E(x52821,x52822)+~E(f29(x52823,x52821,x52824),f29(x52825,x52822,x52826))
% 163.24/162.97 [5283]E(x52831,x52832)+~E(f29(x52831,x52833,x52834),f29(x52832,x52835,x52836))
% 163.24/162.97 [5284]E(x52841,x52842)+~E(f31(x52843,x52844,x52841),f31(x52845,x52846,x52842))
% 163.24/162.97 [5285]E(x52851,x52852)+~E(f31(x52853,x52851,x52854),f31(x52855,x52852,x52856))
% 163.24/162.97 [5286]E(x52861,x52862)+~E(f31(x52861,x52863,x52864),f31(x52862,x52865,x52866))
% 163.24/162.97 [5287]E(x52871,x52872)+~E(f30(x52873,x52874,x52871),f30(x52875,x52876,x52872))
% 163.24/162.97 [5288]E(x52881,x52882)+~E(f30(x52883,x52881,x52884),f30(x52885,x52882,x52886))
% 163.24/162.97 [5289]E(x52891,x52892)+~E(f30(x52891,x52893,x52894),f30(x52892,x52895,x52896))
% 163.24/162.97 [7248]E(x72481,x72482)+~E(f230(x72483,x72484,x72485,x72481),f230(x72483,x72484,x72486,x72482))
% 163.24/162.97 [7249]E(x72491,x72492)+~E(f230(x72493,x72494,x72491,x72495),f230(x72493,x72494,x72492,x72496))
% 163.24/162.97 [6720]E(f333(f185(x67201,x67202,x67203,x67204),x67205),f333(f242(x67202),x67206))+~E(f333(x67204,x67205),f333(f242(x67202),x67206))
% 163.24/162.97 [6854]E(f333(f244(f884(x68541),x68542,f197(x68541),x68543),f333(x68544,x68545)),f333(x68543,x68546))+~E(f333(x68544,x68545),f333(f242(x68542),x68546))
% 163.24/162.97 [8357]~P15(x83575,x83571,x83572,x83576)+E(f333(f74(x83571,x83571,x83571,f333(x83572,x83573)),f333(x83572,x83574)),f333(f74(x83571,x83571,x83571,f333(x83572,x83574)),f333(x83572,x83573)))
% 163.24/162.97 [8596]~P56(x85964,x85965,x85962,x85961,x85966)+E(f333(x85961,f333(x85962,x85963)),x85963)
% 163.24/162.97 [8734]P21(x87341,x87342,x87343,x87344)+~P21(x87341,x87345,f333(f74(x87342,x87345,x87341,x87346),x87343),x87344)
% 163.24/162.97 [8826]~P21(x88264,x88262,f333(f74(x88261,x88262,x88264,x88263),x88265),x88266)+P21(x88261,x88262,x88263,f333(f312(x88264,x88261,x88265),x88266))
% 163.24/162.97 [9544]P24(f333(f63(x95441),x95442))+~P24(f333(f68(x95441,x95443,x95444,x95445,x95442),x95446))
% 163.24/162.97 [9552]~P24(f333(f333(f335(x95524),x95523),f301(x95524,x95525,x95521,x95522,x95526)))+P24(f333(f333(x95521,x95522),x95523))
% 163.24/162.97 [9553]~P24(f333(f333(f335(x95534),x95533),f298(x95534,x95531,x95535,x95532,x95536)))+P24(f333(f333(x95531,x95532),x95533))
% 163.24/162.97 [9554]~P24(f333(f333(f335(x95544),x95542),f301(x95544,x95541,x95545,x95546,x95543)))+P24(f333(f333(x95541,x95542),x95543))
% 163.24/162.97 [9555]~P24(f333(f333(f335(x95554),x95552),f298(x95554,x95555,x95551,x95556,x95553)))+P24(f333(f333(x95551,x95552),x95553))
% 163.24/162.97 [5784]E(x57841,x57842)+~E(f333(f333(f263(x57843,x57844),x57845),x57841),f333(f333(f263(x57843,x57844),x57846),x57842))
% 163.24/162.97 [5786]E(x57861,x57862)+~E(f333(f333(f263(x57863,x57864),x57861),x57865),f333(f333(f263(x57863,x57864),x57862),x57866))
% 163.24/162.97 [5910]~P12(x59105,x59106,x59101)+E(f333(f333(x59101,x59102),f333(f333(x59101,x59103),x59104)),f333(f333(x59101,x59103),f333(f333(x59101,x59102),x59104)))
% 163.24/162.97 [7306]~P35(x73064,x73061,f333(f333(f152(x73064),x73062),x73065),f333(f333(f152(x73064),x73063),x73066))+P24(f333(f333(x73061,x73062),x73063))
% 163.24/162.97 [7659]P35(x76591,x76592,x76593,x76594)+~P35(x76591,x76592,f333(f333(f152(x76591),x76595),x76593),f333(f333(f152(x76591),x76596),x76594))
% 163.24/162.97 [8682]~P56(x86825,x86821,x86822,x86826,x86824)+P24(f333(f333(f335(x86821),f333(x86822,x86823)),x86824))
% 163.24/162.97 [8854]E(f333(f77(x88541,x88542,x88543,x88544,x88545),x88546),f333(x88543,x88546))+P24(f333(f333(f335(x88541),x88546),x88545))
% 163.24/162.97 [8877]~E(x88773,f333(f333(f152(x88771),x88775),x88776))+P24(f333(f333(f335(f889(f881(x88771),f881(x88771))),f333(f333(f263(f881(x88771),f881(x88771)),x88772),f333(f333(f127(x88771),x88772),x88773))),f148(x88771,x88774)))
% 163.24/162.97 [8884]E(f333(f77(x88841,x88842,x88843,x88844,x88845),x88846),f333(x88844,x88846))+~P24(f333(f333(f335(x88841),x88846),x88845))
% 163.24/162.97 [8890]E(f333(f187(x88901,x88902,x88903,x88904,x88905),x88906),f333(x88903,x88906))+P24(f333(f333(f335(x88901),x88906),f333(f173(x88901),x88904)))
% 163.24/162.97 [9107]~P37(x91071,x91072,x91073,x91075,x91076)+P37(x91071,x91072,x91073,f333(f333(f174(x91071),x91074),x91075),f333(f333(f174(x91072),x91074),x91076))
% 163.24/162.97 [9108]~P37(x91081,x91082,x91083,x91085,x91086)+P37(x91081,x91082,x91083,f333(f333(f139(x91081),x91084),x91085),f333(f333(f139(x91082),x91084),x91086))
% 163.24/162.97 [9622]~P19(x96224,x96222,x96225,x96223,x96226,x96221)+E(f333(x96221,f194(f890(x96222,a874))),x96223)
% 163.24/162.97 [9875]~E(f333(x98754,f333(f262(x98751,x98753),x98755)),f333(x98756,f333(f262(x98751,x98753),x98755)))+E(f333(f273(x98751,x98752,x98753,x98753,x98754,f35(x98753)),x98755),f333(f273(x98751,x98752,x98753,x98753,x98756,f35(x98753)),x98755))
% 163.24/162.97 [9876]~E(f333(x98764,f333(f271(x98761,x98762),x98765)),f333(x98766,f333(f271(x98761,x98762),x98765)))+E(f333(f273(x98761,x98761,x98762,x98763,f35(x98761),x98764),x98765),f333(f273(x98761,x98761,x98762,x98763,f35(x98761),x98766),x98765))
% 163.24/162.97 [9918]~E(f333(f273(x99182,x99186,x99183,x99183,x99181,f35(x99183)),x99184),f333(f273(x99182,x99186,x99183,x99183,x99185,f35(x99183)),x99184))+E(f333(x99181,f333(f262(x99182,x99183),x99184)),f333(x99185,f333(f262(x99182,x99183),x99184)))
% 163.24/162.97 [9919]~E(f333(f273(x99192,x99192,x99193,x99196,f35(x99192),x99191),x99194),f333(f273(x99192,x99192,x99193,x99196,f35(x99192),x99195),x99194))+E(f333(x99191,f333(f271(x99192,x99193),x99194)),f333(x99195,f333(f271(x99192,x99193),x99194)))
% 163.24/162.97 [8778]P24(f333(f333(f335(x87781),x87782),x87783))+~P24(f333(f333(f335(f889(x87781,x87784)),f333(f333(f263(x87781,x87784),x87782),x87785)),f333(f333(f270(x87781,x87784),x87783),x87786)))
% 163.24/162.97 [8793]P24(f333(f333(f335(x87931),x87932),f333(x87933,x87934)))+~P24(f333(f333(f335(f889(x87935,x87931)),f333(f333(f263(x87935,x87931),x87934),x87932)),f333(f333(f270(x87935,x87931),x87936),x87933)))
% 163.24/162.97 [8887]~E(f333(f195(f881(x88871)),x88874),f333(f195(f881(x88872)),x88875))+E(f187(x88871,x88872,x88873,x88874,f333(f333(f127(x88872),x88875),x88876)),f187(x88871,x88872,x88873,x88874,x88875))
% 163.24/162.97 [8888]~E(f333(f195(f881(x88881)),x88884),f333(f195(f881(x88882)),x88886))+E(f187(x88881,x88882,x88883,f333(f333(f127(x88881),x88884),x88885),x88886),f187(x88881,x88882,x88883,x88884,x88886))
% 163.24/162.97 [9130]P24(f333(f333(f335(x91301),x91304),f184(x91301,x91302,x91306)))+E(f185(x91301,x91302,f333(f333(f333(f73(x91301,f884(x91302)),x91303),x91304),f333(f242(x91302),x91305)),x91306),f333(f333(f333(f73(x91301,f884(x91302)),f185(x91301,x91302,x91303,x91306)),x91304),f333(f242(x91302),x91305)))
% 163.24/162.97 [9230]P24(f333(f333(f335(f889(x92301,x92301)),f333(f333(f263(x92301,x92301),f333(x92302,x92303)),f333(x92302,x92304))),x92305))+~P24(f333(f333(f335(f889(x92306,x92306)),f333(f333(f263(x92306,x92306),x92303),x92304)),f333(f333(f289(x92301,x92306),x92305),x92302)))
% 163.24/162.97 [9250]~P24(f333(f333(f335(f889(x92504,x92504)),f333(f333(f263(x92504,x92504),f333(x92506,x92502)),f333(x92506,x92503))),x92505))+P24(f333(f333(f335(f889(x92501,x92501)),f333(f333(f263(x92501,x92501),x92502),x92503)),f333(f333(f289(x92504,x92501),x92505),x92506)))
% 163.24/162.97 [9920]E(f333(f333(f263(x99201,x99202),f806(x99203,x99204,x99205,x99206,x99202,x99201)),f808(x99203,x99204,x99205,x99206,x99202,x99201)),x99206)+~P24(f333(f333(f335(f889(x99201,x99202)),x99206),f333(f333(f290(x99201,x99205,x99202),x99204),x99203)))
% 163.24/162.97 [10115]~P24(f333(f333(f335(f889(x101151,x101156)),x101155),f333(f333(f290(x101151,x101152,x101156),x101154),x101153)))+P24(f333(f333(f335(f889(x101151,x101152)),f333(f333(f263(x101151,x101152),f806(x101153,x101154,x101152,x101155,x101156,x101151)),f807(x101153,x101154,x101152,x101155,x101156,x101151))),x101154))
% 163.24/162.97 [10116]~P24(f333(f333(f335(f889(x101166,x101162)),x101165),f333(f333(f290(x101166,x101161,x101162),x101164),x101163)))+P24(f333(f333(f335(f889(x101161,x101162)),f333(f333(f263(x101161,x101162),f807(x101163,x101164,x101161,x101165,x101162,x101166)),f808(x101163,x101164,x101161,x101165,x101162,x101166))),x101163))
% 163.24/162.97 [6188]~E(x61886,x61884)+E(f333(f333(f333(f333(f73(x61881,x61882),x61883),x61884),x61885),x61886),x61885)
% 163.24/162.97 [6237]E(x62371,x62372)+E(f333(f333(f333(f333(f73(x62373,x62374),x62375),x62372),x62376),x62371),f333(x62375,x62371))
% 163.24/162.97 [7728]~P29(x77282)+E(f333(f333(f43(x77281,x77282),x77283),f333(f333(f9(x77281,x77284,x77282),x77285),x77286)),f333(f333(f333(f43(x77281,f890(x77284,x77282)),x77283),x77285),x77286))
% 163.24/162.97 [7729]~P29(x77292)+E(f333(f333(f44(x77291,x77292),x77293),f333(f333(f9(x77291,x77294,x77292),x77295),x77296)),f333(f333(f333(f44(x77291,f890(x77294,x77292)),x77293),x77295),x77296))
% 163.24/162.97 [8508]E(f333(f333(f44(x85081,f890(x85082,a874)),x85083),f333(f333(f10(f890(x85082,a874),f890(x85082,a874),x85081),f333(f311(x85082),x85084)),x85085)),f333(f333(f311(x85082),x85084),f333(f333(f44(x85081,f890(x85082,a874)),x85083),x85085)))+~P24(f333(f333(f335(x85081),x85086),x85083))
% 163.24/162.97 [8939]~P29(x89392)+E(f333(f333(f43(x89391,x89392),x89393),f333(f333(f10(f890(x89394,x89392),x89392,x89391),f333(f43(x89394,x89392),x89395)),f333(f9(x89394,x89391,x89392),x89396))),f333(f333(f43(x89394,x89392),x89395),f333(f333(f10(f890(x89391,x89392),x89392,x89394),f333(f43(x89391,x89392),x89393)),x89396)))
% 163.24/162.97 [8940]~P29(x89402)+E(f333(f333(f44(x89401,x89402),x89403),f333(f333(f10(f890(x89404,x89402),x89402,x89401),f333(f44(x89404,x89402),x89405)),f333(f9(x89404,x89401,x89402),x89406))),f333(f333(f44(x89404,x89402),x89405),f333(f333(f10(f890(x89401,x89402),x89402,x89404),f333(f44(x89401,x89402),x89403)),x89406)))
% 163.24/162.97 [9140]P24(f333(f333(f335(x91401),x91402),f333(f173(x91401),x91403)))+~P24(f333(f333(f335(f889(x91404,x91401)),f333(f333(f263(x91404,x91401),x91405),x91402)),f333(f173(f889(x91404,x91401)),f333(f333(f182(x91404,x91401),x91406),x91403))))
% 163.24/162.97 [9141]P24(f333(f333(f335(x91411),x91412),f333(f173(x91411),x91413)))+~P24(f333(f333(f335(f889(x91411,x91414)),f333(f333(f263(x91411,x91414),x91412),x91415)),f333(f173(f889(x91411,x91414)),f333(f333(f182(x91411,x91414),x91413),x91416))))
% 163.24/162.97 [9244]P24(f333(f333(f250(f890(x92441,a874)),f333(f287(x92442,x92441,x92443),x92444)),x92445))+~P24(f333(f333(f250(f890(f889(x92442,x92441),a874)),x92443),f333(f333(f270(x92442,x92441),x92446),f333(f18(f890(x92441,a874),x92442),x92445))))
% 163.24/162.97 [9434]P24(f333(f333(f335(f889(f881(x94341),f881(x94341))),f333(f333(f263(f881(x94341),f881(x94341)),f333(f333(f152(x94341),x94342),x94343)),f333(f333(f152(x94341),x94344),x94345))),f148(x94341,x94346)))+~P24(f333(f333(f335(f889(x94341,x94341)),f333(f333(f263(x94341,x94341),x94342),x94344)),x94346))
% 163.24/162.97 [9917]E(f333(f333(f263(x99171,x99172),f732(x99173,x99174,x99175,x99172,x99171,x99176)),f735(x99173,x99174,x99175,x99172,x99171,x99176)),x99176)+P24(f333(f333(f335(x99175),x99174),f333(f333(f272(x99171,x99172,f890(x99175,a874)),x99173),x99176)))
% 163.24/162.97 [9922]E(f333(f333(f263(x99221,x99222),f733(x99223,x99224,x99222,x99221,x99225,x99226)),f734(x99223,x99224,x99222,x99221,x99225,x99226)),x99223)+~P24(f333(f333(f335(x99226),x99225),f333(f333(f272(x99221,x99222,f890(x99226,a874)),x99224),x99223)))
% 163.24/162.97 [10064]P24(f333(f333(f335(x100641),x100642),f333(f333(x100643,f733(x100644,x100643,x100645,x100646,x100642,x100641)),f734(x100644,x100643,x100645,x100646,x100642,x100641))))+~P24(f333(f333(f335(x100641),x100642),f333(f333(f272(x100646,x100645,f890(x100641,a874)),x100643),x100644)))
% 163.24/162.97 [10091]~P24(f333(f333(f335(x100911),x100912),f333(f333(x100915,f732(x100915,x100912,x100911,x100914,x100913,x100916)),f735(x100915,x100912,x100911,x100914,x100913,x100916))))+P24(f333(f333(f335(x100911),x100912),f333(f333(f272(x100913,x100914,f890(x100911,a874)),x100915),x100916)))
% 163.24/162.97 [7852]P24(f333(f333(f335(x78521),x78524),x78526))+E(f188(x78521,x78522,f333(f333(f333(f73(x78521,f884(x78522)),x78523),x78524),x78525),x78526),f188(x78521,x78522,x78523,x78526))
% 163.24/162.97 [7919]P24(f333(f333(f335(x79191),x79194),x79196))+E(f333(f312(x79191,x79192,f333(f333(f333(f73(x79191,x79192),x79193),x79194),x79195)),x79196),f333(f312(x79191,x79192,x79193),x79196))
% 163.24/162.97 [7947]P24(f333(f333(f335(x79471),x79474),f333(f173(x79471),x79476)))+E(f333(f333(f155(x79471,x79472),f333(f333(f333(f73(x79471,x79472),x79473),x79474),x79475)),x79476),f333(f333(f155(x79471,x79472),x79473),x79476))
% 163.24/162.97 [8402]E(x84021,x84022)+E(f333(f333(f160(x84023,f333(f333(f160(x84023,x84024),x84021),x84025)),x84022),x84026),f333(f333(f160(x84023,f333(f333(f160(x84023,x84024),x84022),x84026)),x84021),x84025))
% 163.24/162.97 [8945]~P24(f333(f333(f335(x89453),x89456),x89455))+E(f333(f333(f311(x89451),x89452),f333(f312(x89453,x89451,x89454),f333(f333(f3(f890(x89453,a874)),x89455),f333(f333(f311(x89453),x89456),f194(f890(x89453,a874)))))),f333(f312(x89453,x89451,f333(f333(f333(f73(x89453,x89451),x89454),x89456),x89452)),x89455))
% 163.24/162.97 [9732]E(f187(x97321,x97322,x97323,f333(f333(f127(x97321),x97324),f333(f333(f152(x97321),x97325),f118(x97321))),x97326),f333(f333(f333(f73(x97321,f884(x97322)),f187(x97321,x97322,x97323,x97324,x97326)),x97325),f333(f242(x97322),f333(f333(f166(x97322),x97326),f333(f195(f881(x97321)),x97324)))))+~P24(f333(f333(f251(a880),f333(f195(f881(x97321)),x97324)),f333(f195(f881(x97322)),x97326)))
% 163.24/162.97 [8722]~E(x87223,x87226)+E(f333(f333(f178(x87221,x87222),f333(f333(f152(f889(x87221,x87222)),f333(f333(f263(x87221,x87222),x87223),x87224)),x87225)),x87226),f333(f242(x87222),x87224))
% 163.24/162.97 [8750]E(x87501,x87502)+E(f333(f333(f178(x87503,x87504),f333(f333(f152(f889(x87503,x87504)),f333(f333(f263(x87503,x87504),x87501),x87505)),x87506)),x87502),f333(f333(f178(x87503,x87504),x87506),x87502))
% 163.24/162.97 [9020]~P24(f333(f333(x90204,x90205),x90206))+P24(f333(f333(f333(f333(f115(f890(x90201,f890(x90202,a874))),x90203),x90204),x90205),x90206))
% 163.24/162.97 [9022]~P24(f333(f333(x90223,x90225),x90226))+P24(f333(f333(f333(f333(f115(f890(x90221,f890(x90222,a874))),x90223),x90224),x90225),x90226))
% 163.24/162.97 [9304]P24(f333(f333(x93041,x93042),x93043))+~P24(f333(f333(f333(f333(f106(f890(x93044,f890(x93045,a874))),x93046),x93041),x93042),x93043))
% 163.24/162.97 [9305]P24(f333(f333(x93051,x93052),x93053))+~P24(f333(f333(f333(f333(f106(f890(x93054,f890(x93055,a874))),x93051),x93056),x93052),x93053))
% 163.24/162.97 [9766]~P69(x97662)+E(f333(f333(f8(x97661,x97662),f333(f333(f9(x97661,f890(x97663,a874),x97662),f333(f333(f10(f890(x97663,x97662),f890(f890(x97663,a874),x97662),x97661),f8(x97663,x97662)),x97664)),x97665)),x97666),f333(f333(f8(f889(x97661,x97663),x97662),f333(f272(x97661,x97663,x97662),x97664)),f333(f333(f270(x97661,x97663),x97666),f333(f18(f890(x97663,a874),x97661),x97665))))
% 163.24/162.97 [9767]~P76(x97672)+E(f333(f333(f11(x97671,x97672),f333(f333(f9(x97671,f890(x97673,a874),x97672),f333(f333(f10(f890(x97673,x97672),f890(f890(x97673,a874),x97672),x97671),f11(x97673,x97672)),x97674)),x97675)),x97676),f333(f333(f11(f889(x97671,x97673),x97672),f333(f272(x97671,x97673,x97672),x97674)),f333(f333(f270(x97671,x97673),x97676),f333(f18(f890(x97673,a874),x97671),x97675))))
% 163.24/162.97 [9902]~P69(x99022)+E(f333(f333(f8(x99021,x99022),f333(f333(f9(x99021,f890(x99023,a874),x99022),f333(f333(f10(f890(x99023,x99022),f890(f890(x99023,a874),x99022),x99021),f8(x99023,x99022)),f333(f9(x99023,x99021,x99022),x99024))),x99025)),x99026),f333(f333(f8(x99023,x99022),f333(f333(f9(x99023,f890(x99021,a874),x99022),f333(f333(f10(f890(x99021,x99022),f890(f890(x99021,a874),x99022),x99023),f8(x99021,x99022)),x99024)),x99026)),x99025))
% 163.24/162.97 [9590]~P24(f333(f333(f335(x95901),x95905),x95904))+E(f333(f333(f333(f73(x95901,f884(x95902)),f188(x95901,x95902,x95903,f333(f333(f3(f890(x95901,a874)),x95904),f333(f333(f311(x95901),x95905),f194(f890(x95901,a874)))))),x95905),x95906),f188(x95901,x95902,f333(f333(f333(f73(x95901,f884(x95902)),x95903),x95905),x95906),x95904))
% 163.24/162.97 [10206]~P24(f333(f333(f335(f889(x102061,x102062)),f333(f333(f263(x102061,x102062),x102065),x102066)),f333(f333(f115(f890(f889(x102061,x102062),a874)),x102063),x102064)))+P24(f333(f333(f333(f333(f115(f890(x102061,f890(x102062,a874))),f333(f333(f9(x102061,f890(f889(x102061,x102062),a874),f890(x102062,a874)),f333(f333(f10(f890(x102062,f890(f890(f889(x102061,x102062),a874),a874)),f890(f890(f889(x102061,x102062),a874),f890(x102062,a874)),x102061),f9(x102062,f890(f889(x102061,x102062),a874),a874)),f333(f333(f10(f890(x102062,f889(x102061,x102062)),f890(x102062,f890(f890(f889(x102061,x102062),a874),a874)),x102061),f333(f10(f889(x102061,x102062),f890(f890(f889(x102061,x102062),a874),a874),x102062),f335(f889(x102061,x102062)))),f263(x102061,x102062)))),x102063)),f333(f333(f9(x102061,f890(f889(x102061,x102062),a874),f890(x102062,a874)),f333(f333(f10(f890(x102062,f890(f890(f889(x102061,x102062),a874),a874)),f890(f890(f889(x102061,x102062),a874),f890(x102062,a874)),x102061),f9(x102062,f890(f889(x102061,x102062),a874),a874)),f333(f333(f10(f890(x102062,f889(x102061,x102062)),f890(x102062,f890(f890(f889(x102061,x102062),a874),a874)),x102061),f333(f10(f889(x102061,x102062),f890(f890(f889(x102061,x102062),a874),a874),x102062),f335(f889(x102061,x102062)))),f263(x102061,x102062)))),x102064)),x102065),x102066))
% 163.24/162.97 [10207]~P24(f333(f333(f335(f889(x102071,x102072)),f333(f333(f263(x102071,x102072),x102075),x102076)),f333(f333(f106(f890(f889(x102071,x102072),a874)),x102073),x102074)))+P24(f333(f333(f333(f333(f106(f890(x102071,f890(x102072,a874))),f333(f333(f9(x102071,f890(f889(x102071,x102072),a874),f890(x102072,a874)),f333(f333(f10(f890(x102072,f890(f890(f889(x102071,x102072),a874),a874)),f890(f890(f889(x102071,x102072),a874),f890(x102072,a874)),x102071),f9(x102072,f890(f889(x102071,x102072),a874),a874)),f333(f333(f10(f890(x102072,f889(x102071,x102072)),f890(x102072,f890(f890(f889(x102071,x102072),a874),a874)),x102071),f333(f10(f889(x102071,x102072),f890(f890(f889(x102071,x102072),a874),a874),x102072),f335(f889(x102071,x102072)))),f263(x102071,x102072)))),x102073)),f333(f333(f9(x102071,f890(f889(x102071,x102072),a874),f890(x102072,a874)),f333(f333(f10(f890(x102072,f890(f890(f889(x102071,x102072),a874),a874)),f890(f890(f889(x102071,x102072),a874),f890(x102072,a874)),x102071),f9(x102072,f890(f889(x102071,x102072),a874),a874)),f333(f333(f10(f890(x102072,f889(x102071,x102072)),f890(x102072,f890(f890(f889(x102071,x102072),a874),a874)),x102071),f333(f10(f889(x102071,x102072),f890(f890(f889(x102071,x102072),a874),a874),x102072),f335(f889(x102071,x102072)))),f263(x102071,x102072)))),x102074)),x102075),x102076))
% 163.24/162.97 [10216]P24(f333(f333(f335(f889(x102161,x102162)),f333(f333(f263(x102161,x102162),x102163),x102164)),f333(f333(f115(f890(f889(x102161,x102162),a874)),x102165),x102166)))+~P24(f333(f333(f333(f333(f115(f890(x102161,f890(x102162,a874))),f333(f333(f9(x102161,f890(f889(x102161,x102162),a874),f890(x102162,a874)),f333(f333(f10(f890(x102162,f890(f890(f889(x102161,x102162),a874),a874)),f890(f890(f889(x102161,x102162),a874),f890(x102162,a874)),x102161),f9(x102162,f890(f889(x102161,x102162),a874),a874)),f333(f333(f10(f890(x102162,f889(x102161,x102162)),f890(x102162,f890(f890(f889(x102161,x102162),a874),a874)),x102161),f333(f10(f889(x102161,x102162),f890(f890(f889(x102161,x102162),a874),a874),x102162),f335(f889(x102161,x102162)))),f263(x102161,x102162)))),x102165)),f333(f333(f9(x102161,f890(f889(x102161,x102162),a874),f890(x102162,a874)),f333(f333(f10(f890(x102162,f890(f890(f889(x102161,x102162),a874),a874)),f890(f890(f889(x102161,x102162),a874),f890(x102162,a874)),x102161),f9(x102162,f890(f889(x102161,x102162),a874),a874)),f333(f333(f10(f890(x102162,f889(x102161,x102162)),f890(x102162,f890(f890(f889(x102161,x102162),a874),a874)),x102161),f333(f10(f889(x102161,x102162),f890(f890(f889(x102161,x102162),a874),a874),x102162),f335(f889(x102161,x102162)))),f263(x102161,x102162)))),x102166)),x102163),x102164))
% 163.24/162.97 [10217]P24(f333(f333(f335(f889(x102171,x102172)),f333(f333(f263(x102171,x102172),x102173),x102174)),f333(f333(f106(f890(f889(x102171,x102172),a874)),x102175),x102176)))+~P24(f333(f333(f333(f333(f106(f890(x102171,f890(x102172,a874))),f333(f333(f9(x102171,f890(f889(x102171,x102172),a874),f890(x102172,a874)),f333(f333(f10(f890(x102172,f890(f890(f889(x102171,x102172),a874),a874)),f890(f890(f889(x102171,x102172),a874),f890(x102172,a874)),x102171),f9(x102172,f890(f889(x102171,x102172),a874),a874)),f333(f333(f10(f890(x102172,f889(x102171,x102172)),f890(x102172,f890(f890(f889(x102171,x102172),a874),a874)),x102171),f333(f10(f889(x102171,x102172),f890(f890(f889(x102171,x102172),a874),a874),x102172),f335(f889(x102171,x102172)))),f263(x102171,x102172)))),x102175)),f333(f333(f9(x102171,f890(f889(x102171,x102172),a874),f890(x102172,a874)),f333(f333(f10(f890(x102172,f890(f890(f889(x102171,x102172),a874),a874)),f890(f890(f889(x102171,x102172),a874),f890(x102172,a874)),x102171),f9(x102172,f890(f889(x102171,x102172),a874),a874)),f333(f333(f10(f890(x102172,f889(x102171,x102172)),f890(x102172,f890(f890(f889(x102171,x102172),a874),a874)),x102171),f333(f10(f889(x102171,x102172),f890(f890(f889(x102171,x102172),a874),a874),x102172),f335(f889(x102171,x102172)))),f263(x102171,x102172)))),x102176)),x102173),x102174))
% 163.24/162.97 [10195]~P24(f333(f333(f335(f889(x101952,x101953)),f333(f333(f263(x101952,x101953),x101955),x101956)),f333(f333(f43(x101951,f890(f889(x101952,x101953),a874)),f258(f890(x101951,a874))),x101954)))+P24(f333(f333(f333(f333(f43(x101951,f890(x101952,f890(x101953,a874))),f258(f890(x101951,a874))),f333(f333(f10(f890(f889(x101952,x101953),a874),f890(x101952,f890(x101953,a874)),x101951),f333(f9(x101952,f890(f889(x101952,x101953),a874),f890(x101953,a874)),f333(f333(f10(f890(x101953,f890(f890(f889(x101952,x101953),a874),a874)),f890(f890(f889(x101952,x101953),a874),f890(x101953,a874)),x101952),f9(x101953,f890(f889(x101952,x101953),a874),a874)),f333(f333(f10(f890(x101953,f889(x101952,x101953)),f890(x101953,f890(f890(f889(x101952,x101953),a874),a874)),x101952),f333(f10(f889(x101952,x101953),f890(f890(f889(x101952,x101953),a874),a874),x101953),f335(f889(x101952,x101953)))),f263(x101952,x101953))))),x101954)),x101955),x101956))
% 163.24/162.97 [10196]~P24(f333(f333(f335(f889(x101962,x101963)),f333(f333(f263(x101962,x101963),x101965),x101966)),f333(f333(f44(x101961,f890(f889(x101962,x101963),a874)),f258(f890(x101961,a874))),x101964)))+P24(f333(f333(f333(f333(f44(x101961,f890(x101962,f890(x101963,a874))),f258(f890(x101961,a874))),f333(f333(f10(f890(f889(x101962,x101963),a874),f890(x101962,f890(x101963,a874)),x101961),f333(f9(x101962,f890(f889(x101962,x101963),a874),f890(x101963,a874)),f333(f333(f10(f890(x101963,f890(f890(f889(x101962,x101963),a874),a874)),f890(f890(f889(x101962,x101963),a874),f890(x101963,a874)),x101962),f9(x101963,f890(f889(x101962,x101963),a874),a874)),f333(f333(f10(f890(x101963,f889(x101962,x101963)),f890(x101963,f890(f890(f889(x101962,x101963),a874),a874)),x101962),f333(f10(f889(x101962,x101963),f890(f890(f889(x101962,x101963),a874),a874),x101963),f335(f889(x101962,x101963)))),f263(x101962,x101963))))),x101964)),x101965),x101966))
% 163.24/162.97 [10209]P24(f333(f333(f335(f889(x102091,x102092)),f333(f333(f263(x102091,x102092),x102093),x102094)),f333(f333(f43(x102095,f890(f889(x102091,x102092),a874)),f258(f890(x102095,a874))),x102096)))+~P24(f333(f333(f333(f333(f43(x102095,f890(x102091,f890(x102092,a874))),f258(f890(x102095,a874))),f333(f333(f10(f890(f889(x102091,x102092),a874),f890(x102091,f890(x102092,a874)),x102095),f333(f9(x102091,f890(f889(x102091,x102092),a874),f890(x102092,a874)),f333(f333(f10(f890(x102092,f890(f890(f889(x102091,x102092),a874),a874)),f890(f890(f889(x102091,x102092),a874),f890(x102092,a874)),x102091),f9(x102092,f890(f889(x102091,x102092),a874),a874)),f333(f333(f10(f890(x102092,f889(x102091,x102092)),f890(x102092,f890(f890(f889(x102091,x102092),a874),a874)),x102091),f333(f10(f889(x102091,x102092),f890(f890(f889(x102091,x102092),a874),a874),x102092),f335(f889(x102091,x102092)))),f263(x102091,x102092))))),x102096)),x102093),x102094))
% 163.24/162.97 [10210]P24(f333(f333(f335(f889(x102101,x102102)),f333(f333(f263(x102101,x102102),x102103),x102104)),f333(f333(f44(x102105,f890(f889(x102101,x102102),a874)),f258(f890(x102105,a874))),x102106)))+~P24(f333(f333(f333(f333(f44(x102105,f890(x102101,f890(x102102,a874))),f258(f890(x102105,a874))),f333(f333(f10(f890(f889(x102101,x102102),a874),f890(x102101,f890(x102102,a874)),x102105),f333(f9(x102101,f890(f889(x102101,x102102),a874),f890(x102102,a874)),f333(f333(f10(f890(x102102,f890(f890(f889(x102101,x102102),a874),a874)),f890(f890(f889(x102101,x102102),a874),f890(x102102,a874)),x102101),f9(x102102,f890(f889(x102101,x102102),a874),a874)),f333(f333(f10(f890(x102102,f889(x102101,x102102)),f890(x102102,f890(f890(f889(x102101,x102102),a874),a874)),x102101),f333(f10(f889(x102101,x102102),f890(f890(f889(x102101,x102102),a874),a874),x102102),f335(f889(x102101,x102102)))),f263(x102101,x102102))))),x102106)),x102103),x102104))
% 163.24/162.97 [7411]E(f333(x74111,f333(x74112,x74113)),f333(x74114,x74113))+~E(f333(f74(x74115,x74116,x74117,x74111),x74112),x74114)
% 163.24/162.97 [9621]~P18(x96213,x96214,x96211,x96215,x96216,x96217)+E(f333(f333(x96211,x96212),x96212),x96212)
% 163.24/162.97 [9968]~P53(x99685,x99686,x99687,x99681,x99684,x99682,x99683)+P24(f333(f333(x99681,x99682),f704(x99683,x99682,x99684,x99681)))
% 163.24/162.97 [9984]~E(f333(f244(f884(x99847),x99841,f197(x99847),x99845),f333(x99844,x99843)),f333(f242(x99847),x99842))+E(f333(f242(x99841),f509(x99842,x99843,x99844,x99845,x99846,x99847,x99841)),f333(x99844,x99843))
% 163.24/162.97 [9985]~E(f333(f244(f884(x99856),x99857,f197(x99856),x99851),f333(x99854,x99853)),f333(f242(x99856),x99852))+E(f333(x99851,f509(x99852,x99853,x99854,x99851,x99855,x99856,x99857)),f333(f242(x99856),x99852))
% 163.24/162.97 [6013]~E(f333(f333(f155(x60131,x60135),x60136),x60132),f333(f333(f155(x60133,x60135),x60137),x60134))+E(f333(f195(f881(x60131)),x60132),f333(f195(f881(x60133)),x60134))
% 163.24/162.97 [7486]E(x74861,x74862)+~E(f333(f333(f333(f73(x74863,f884(x74864)),x74865),x74866),f333(f242(x74864),x74861)),f333(f333(f333(f73(x74863,f884(x74864)),x74867),x74866),f333(f242(x74864),x74862)))
% 163.24/162.97 [8445]E(f333(x84451,f333(x84452,x84453)),f333(x84454,x84453))+~E(f333(f74(x84455,x84456,x84457,x84451),x84452),f333(f74(x84456,x84456,x84457,f35(x84456)),x84454))
% 163.24/162.97 [8767]~P37(x87674,x87675,x87671,f333(f333(f152(x87674),x87672),x87676),f333(f333(f152(x87675),x87673),x87677))+P24(f333(f333(x87671,x87672),x87673))
% 163.24/162.97 [9149]P37(x91491,x91492,x91493,x91494,x91495)+~P37(x91491,x91492,x91493,f333(f333(f152(x91491),x91496),x91494),f333(f333(f152(x91492),x91497),x91495))
% 163.24/162.97 [9973]~P53(x99735,x99736,x99737,x99734,x99731,x99733,x99732)+P24(f333(f333(x99731,f704(x99732,x99733,x99731,x99734)),x99732))
% 163.24/162.97 [6057]E(x60571,x60572)+~E(f333(f333(f333(f93(x60573),x60574),x60575),x60571),f333(f333(f333(f93(x60573),x60576),x60577),x60572))
% 163.24/162.97 [6058]E(x60581,x60582)+~E(f333(f333(f333(f93(x60583),x60584),x60581),x60585),f333(f333(f333(f93(x60583),x60586),x60582),x60587))
% 163.24/162.97 [6059]E(x60591,x60592)+~E(f333(f333(f333(f93(x60593),x60591),x60594),x60595),f333(f333(f333(f93(x60593),x60592),x60596),x60597))
% 163.24/162.97 [8892]~P16(x88926,x88921,x88923,x88927)+E(f333(f74(x88921,x88921,x88922,f333(x88923,x88924)),f333(f74(x88921,x88921,x88922,f333(x88923,x88924)),x88925)),f333(f74(x88921,x88921,x88922,f333(x88923,x88924)),x88925))
% 163.24/162.97 [9253]~P37(x92533,x92532,x92534,f333(f333(f155(x92531,x92533),x92535),x92536),x92537)+P37(x92531,x92532,f333(f333(f10(x92533,f890(x92532,a874),x92531),x92534),x92535),x92536,x92537)
% 163.24/162.97 [9279]P37(x92791,x92792,x92793,f333(f333(f155(x92794,x92791),x92795),x92796),x92797)+~P37(x92794,x92792,f333(f333(f10(x92791,f890(x92792,a874),x92794),x92793),x92795),x92796,x92797)
% 163.24/162.97 [9712]E(f187(x97121,x97122,f333(f333(f333(f73(x97121,f884(x97122)),x97123),x97124),f333(f242(x97122),x97125)),x97126,x97127),f333(f333(f333(f73(x97121,f884(x97122)),f187(x97121,x97122,x97123,x97126,x97127)),x97124),f333(f242(x97122),x97125)))+P24(f333(f333(f335(x97121),x97124),f333(f173(x97121),x97126)))
% 163.24/162.97 [8891]~P24(f333(f333(f335(x88911),x88912),f333(f333(x88915,x88916),x88917)))+P24(f333(f333(f335(x88911),x88912),f333(f333(f272(x88913,x88914,f890(x88911,a874)),x88915),f333(f333(f263(x88913,x88914),x88916),x88917))))
% 163.24/162.97 [9175]P24(f333(f333(f333(x91751,x91752),x91753),x91754))+~P24(f333(f333(f333(f272(x91755,x91756,f890(x91757,a874)),x91751),f333(f333(f263(x91755,x91756),x91752),x91753)),x91754))
% 163.24/162.97 [9318]P24(f333(f333(f335(x93181),f333(f333(x93182,x93183),x93184)),f333(f312(f889(x93185,x93186),x93181,f333(f272(x93185,x93186,x93181),x93182)),x93187)))+~P24(f333(f333(f335(f889(x93185,x93186)),f333(f333(f263(x93185,x93186),x93183),x93184)),x93187))
% 163.24/162.97 [9672]P24(f333(f333(f335(f889(f881(x96721),f881(x96721))),f333(f333(f263(f881(x96721),f881(x96721)),f333(f333(f127(x96721),x96722),f333(f333(f152(x96721),x96723),x96724))),f333(f333(f127(x96721),x96722),f333(f333(f152(x96721),x96725),x96726)))),f148(x96721,x96727)))+~P24(f333(f333(f335(f889(x96721,x96721)),f333(f333(f263(x96721,x96721),x96723),x96725)),x96727))
% 163.24/162.97 [9734]~P37(x97341,x97343,x97344,x97346,f333(f333(f155(x97342,x97343),x97345),x97347))+P37(x97341,x97342,f333(f333(f9(x97341,f890(x97342,x97343),f890(x97342,a874)),f333(f333(f10(f890(x97343,a874),f890(f890(x97342,x97343),f890(x97342,a874)),x97341),f10(x97343,a874,x97342)),x97344)),x97345),x97346,x97347)
% 163.24/162.97 [9828]P37(x98281,x98282,x98283,x98284,f333(f333(f155(x98285,x98282),x98286),x98287))+~P37(x98281,x98285,f333(f333(f9(x98281,f890(x98285,x98282),f890(x98285,a874)),f333(f333(f10(f890(x98282,a874),f890(f890(x98285,x98282),f890(x98285,a874)),x98281),f10(x98282,a874,x98285)),x98283)),x98286),x98284,x98287)
% 163.24/162.97 [10090]P53(x100901,x100902,x100903,f333(f333(f9(x100901,f890(f889(x100901,x100902),a874),f890(x100902,a874)),f333(f333(f10(f890(x100902,f890(f890(f889(x100901,x100902),a874),a874)),f890(f890(f889(x100901,x100902),a874),f890(x100902,a874)),x100901),f9(x100902,f890(f889(x100901,x100902),a874),a874)),f333(f333(f10(f890(x100902,f889(x100901,x100902)),f890(x100902,f890(f890(f889(x100901,x100902),a874),a874)),x100901),f333(f10(f889(x100901,x100902),f890(f890(f889(x100901,x100902),a874),a874),x100902),f335(f889(x100901,x100902)))),f263(x100901,x100902)))),x100904),f333(f333(f9(x100902,f890(f889(x100902,x100903),a874),f890(x100903,a874)),f333(f333(f10(f890(x100903,f890(f890(f889(x100902,x100903),a874),a874)),f890(f890(f889(x100902,x100903),a874),f890(x100903,a874)),x100902),f9(x100903,f890(f889(x100902,x100903),a874),a874)),f333(f333(f10(f890(x100903,f889(x100902,x100903)),f890(x100903,f890(f890(f889(x100902,x100903),a874),a874)),x100902),f333(f10(f889(x100902,x100903),f890(f890(f889(x100902,x100903),a874),a874),x100903),f335(f889(x100902,x100903)))),f263(x100902,x100903)))),x100905),x100906,x100907)+~P24(f333(f333(f335(f889(x100901,x100903)),f333(f333(f263(x100901,x100903),x100906),x100907)),f333(f333(f290(x100901,x100902,x100903),x100904),x100905)))
% 163.24/162.97 [10142]~P53(x101421,x101425,x101422,f333(f333(f9(x101421,f890(f889(x101421,x101425),a874),f890(x101425,a874)),f333(f333(f10(f890(x101425,f890(f890(f889(x101421,x101425),a874),a874)),f890(f890(f889(x101421,x101425),a874),f890(x101425,a874)),x101421),f9(x101425,f890(f889(x101421,x101425),a874),a874)),f333(f333(f10(f890(x101425,f889(x101421,x101425)),f890(x101425,f890(f890(f889(x101421,x101425),a874),a874)),x101421),f333(f10(f889(x101421,x101425),f890(f890(f889(x101421,x101425),a874),a874),x101425),f335(f889(x101421,x101425)))),f263(x101421,x101425)))),x101426),f333(f333(f9(x101425,f890(f889(x101425,x101422),a874),f890(x101422,a874)),f333(f333(f10(f890(x101422,f890(f890(f889(x101425,x101422),a874),a874)),f890(f890(f889(x101425,x101422),a874),f890(x101422,a874)),x101425),f9(x101422,f890(f889(x101425,x101422),a874),a874)),f333(f333(f10(f890(x101422,f889(x101425,x101422)),f890(x101422,f890(f890(f889(x101425,x101422),a874),a874)),x101425),f333(f10(f889(x101425,x101422),f890(f890(f889(x101425,x101422),a874),a874),x101422),f335(f889(x101425,x101422)))),f263(x101425,x101422)))),x101427),x101423,x101424)+P24(f333(f333(f335(f889(x101421,x101422)),f333(f333(f263(x101421,x101422),x101423),x101424)),f333(f333(f290(x101421,x101425,x101422),x101426),x101427)))
% 163.24/162.97 [9167]E(x91671,x91672)+E(f333(f333(f333(f73(x91673,x91674),f333(f333(f333(f73(x91673,x91674),x91675),x91671),x91676)),x91672),x91677),f333(f333(f333(f73(x91673,x91674),f333(f333(f333(f73(x91673,x91674),x91675),x91672),x91677)),x91671),x91676))
% 163.24/162.97 [9408]E(f187(x94081,x94082,f333(f333(f333(f73(x94081,f884(x94082)),x94083),x94084),f333(f242(x94082),x94085)),x94086,x94087),f187(x94081,x94082,x94083,x94086,x94087))+~P24(f333(f333(f335(x94081),x94084),f333(f173(x94081),f333(f333(f174(x94081),f333(f195(f881(x94082)),x94087)),x94086))))
% 163.24/162.97 [9750]E(f187(x97501,x97502,f333(f333(f333(f73(x97501,f884(x97502)),x97503),x97504),f333(f242(x97502),x97505)),x97506,x97507),f333(f333(f333(f73(x97501,f884(x97502)),f187(x97501,x97502,x97503,x97506,x97507)),x97504),f333(f242(x97502),x97505)))+P24(f333(f333(f335(x97501),x97504),f333(f173(x97501),f333(f333(f174(x97501),f333(f195(f881(x97502)),x97507)),x97506))))
% 163.24/162.97 [10103]P24(f333(f333(f335(x101031),f532(x101032,x101033,x101034,x101035,x101036,x101037,x101031)),x101035))+P24(f333(f333(f333(f333(f43(x101031,f890(x101037,f890(x101036,a874))),x101035),x101034),x101033),x101032))
% 163.24/162.97 [10104]P24(f333(f333(f335(x101041),f545(x101042,x101043,x101044,x101045,x101046,x101047,x101041)),x101045))+~P24(f333(f333(f333(f333(f44(x101041,f890(x101047,f890(x101046,a874))),x101045),x101044),x101043),x101042))
% 163.24/162.97 [10151]P24(f333(f333(f333(x101511,f545(x101512,x101513,x101511,x101514,x101515,x101516,x101517)),x101513),x101512))+~P24(f333(f333(f333(f333(f44(x101517,f890(x101516,f890(x101515,a874))),x101514),x101511),x101513),x101512))
% 163.24/162.97 [10171]~P24(f333(f333(f333(x101715,f532(x101717,x101716,x101715,x101714,x101713,x101712,x101711)),x101716),x101717))+P24(f333(f333(f333(f333(f43(x101711,f890(x101712,f890(x101713,a874))),x101714),x101715),x101716),x101717))
% 163.24/162.97 [10112]~P144(x101122)+E(f333(f333(f8(x101121,x101122),f333(f333(f9(x101121,f890(x101123,a874),x101122),f333(f333(f10(f890(x101123,x101122),f890(f890(x101123,a874),x101122),x101121),f8(x101123,x101122)),f333(f333(f9(x101121,f890(x101123,x101122),f890(x101123,x101122)),f333(f333(f10(f890(x101122,x101122),f890(f890(x101123,x101122),f890(x101123,x101122)),x101121),f10(x101122,x101122,x101123)),f333(f333(f10(x101122,f890(x101122,x101122),x101121),f82(x101122)),x101124))),x101125))),x101126)),x101127),f333(f333(f82(x101122),f333(f333(f8(x101121,x101122),x101124),x101127)),f333(f333(f8(x101123,x101122),x101125),x101126)))
% 163.24/162.97 [9206]~P15(x92067,x92061,x92063,x92068)+E(f333(f74(x92061,x92061,x92062,f333(x92063,x92064)),f333(f74(x92061,x92061,x92062,f333(x92063,x92065)),x92066)),f333(f74(x92061,x92061,x92062,f333(x92063,x92065)),f333(f74(x92061,x92061,x92062,f333(x92063,x92064)),x92066)))
% 163.24/162.97 [10202]E(f333(f333(f263(x102021,x102022),f333(x102023,f620(x102024,x102025,x102023,x102026,x102027,x102028,x102022,x102021))),f333(x102025,f621(x102024,x102025,x102023,x102026,x102027,x102028,x102022,x102021))),x102028)+~P24(f333(f333(f335(f889(x102021,x102022)),x102028),f333(f312(f889(x102027,x102026),f889(x102021,x102022),f273(x102027,x102021,x102026,x102022,x102023,x102025)),x102024)))
% 163.24/162.97 [10223]~P24(f333(f333(f335(f889(x102238,x102237)),x102236),f333(f312(f889(x102231,x102232),f889(x102238,x102237),f273(x102231,x102238,x102232,x102237,x102235,x102234)),x102233)))+P24(f333(f333(f335(f889(x102231,x102232)),f333(f333(f263(x102231,x102232),f620(x102233,x102234,x102235,x102232,x102231,x102236,x102237,x102238)),f621(x102233,x102234,x102235,x102232,x102231,x102236,x102237,x102238))),x102233))
% 163.24/162.97 [9662]P24(f333(f333(f335(f889(f889(x96621,x96622),f889(x96621,x96622))),f333(f333(f263(f889(x96621,x96622),f889(x96621,x96622)),f333(f333(f263(x96621,x96622),x96623),x96624)),f333(f333(f263(x96621,x96622),x96625),x96626))),f326(x96621,x96622,x96627,x96628)))+~P24(f333(f333(f335(f889(x96621,x96621)),f333(f333(f263(x96621,x96621),x96623),x96625)),x96627))
% 163.24/162.97 [10189]E(f333(f143(x101891,x101892,f333(f9(x101892,x101891,x101891),x101893),f333(x101894,x101895)),x101896),f333(x101894,f333(f143(x101897,x101892,f333(f9(x101892,x101897,x101897),x101898),x101895),x101896)))+P24(f333(f333(f335(x101892),f714(x101895,x101898,x101894,x101893,x101897,x101891,x101896,x101892)),f333(f173(x101892),x101896)))
% 163.24/162.97 [10212]~E(f333(f74(x102121,x102121,x102127,f333(x102123,f714(x102125,x102128,x102124,x102123,x102127,x102121,x102126,x102122))),x102124),f333(f74(x102127,x102121,x102127,x102124),f333(x102128,f714(x102125,x102128,x102124,x102123,x102127,x102121,x102126,x102122))))+E(f333(f143(x102121,x102122,f333(f9(x102122,x102121,x102121),x102123),f333(x102124,x102125)),x102126),f333(x102124,f333(f143(x102127,x102122,f333(f9(x102122,x102127,x102127),x102128),x102125),x102126)))
% 163.24/162.97 [8451]E(f333(x84511,f333(x84512,x84513)),f333(x84514,f333(x84515,x84513)))+~E(f333(f74(x84516,x84517,x84518,x84511),x84512),f333(f74(x84519,x84517,x84518,x84514),x84515))
% 163.24/162.97 [10037]P24(f333(f333(f335(f889(x100371,x100372)),f333(f333(f263(x100371,x100372),f333(x100373,x100374)),f333(x100375,x100376))),f333(f312(f889(x100377,x100378),f889(x100371,x100372),f273(x100377,x100371,x100378,x100372,x100373,x100375)),x100379)))+~P24(f333(f333(f335(f889(x100377,x100378)),f333(f333(f263(x100377,x100378),x100374),x100376)),x100379))
% 163.24/162.97 [8715]~E(f333(x87154,f333(x87155,x87156)),f333(x87159,f333(x871510,x871511)))+E(f333(f333(f74(x87151,x87152,x87153,x87154),x87155),x87156),f333(f333(f74(x87157,x87152,x87158,x87159),x871510),x871511))
% 163.24/162.97 [4614]~P102(x46141)+~P109(x46141)+E(f106(x46141),f248(x46141))
% 163.24/162.97 [4615]~P101(x46151)+~P109(x46151)+E(f115(x46151),f249(x46151))
% 163.24/162.97 [4858]~P120(x48581)+~P94(x48581)+E(f333(f76(x48581),f333(f108(x48581),a102)),f79(x48581))
% 163.24/162.97 [5131]E(x51311,f2(a1))+E(f83(a1,x51311),f333(f80(a1),f79(a1)))+P24(f333(f333(f251(a1),f2(a1)),x51311))
% 163.24/162.97 [5347]E(x53471,f2(a1))+E(f83(a1,x53471),f79(a1))+~P24(f333(f333(f251(a1),f2(a1)),x53471))
% 163.24/162.97 [7310]~P42(x73101)+P24(f333(f63(a1),x73101))+~P24(f333(f63(a880),f333(f312(a1,a880,a109),x73101)))
% 163.24/162.97 [8554]~P2(a5000)+~P24(f333(f333(f335(f889(a877,a875)),x85541),f333(f173(f889(a877,a875)),a27)))+P24(f333(f333(f272(a877,a875,a874),f333(f18(f890(a875,a874),a877),a25)),x85541))
% 163.24/162.97 [9620]E(x96201,f194(f890(f889(a880,a880),a874)))+~P24(f333(f63(f889(a880,a880)),x96201))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f194(f890(f889(a880,a880),a874))),x96201)),a38))
% 163.24/162.97 [10062]E(x100621,f2(a880))+E(x100621,f333(a117,f2(a880)))+~P24(f333(f333(f251(a880),x100621),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.24/162.97 [10184]E(x101841,f2(a104))+E(f333(f333(f81(a1),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(a22,f333(f333(f40(a104),x101841),f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))),f79(a1)),f333(a22,x101841))+E(f46(a104,x101841,f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f2(a104))
% 163.24/162.97 [10119]E(x101191,f2(a104))+~E(f46(a104,x101191,f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f2(a104))+E(f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(a22,f333(f333(f40(a104),x101191),f333(f108(a104),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f333(a22,x101191))
% 163.24/162.97 [4689]~P57(x46891,x46892)+P45(x46891,x46892)+~P46(a874)
% 163.24/162.97 [4626]~P143(x46261)+P33(x46261,x46262)+~E(x46262,f2(x46261))
% 163.24/162.97 [4627]~P109(x46271)+P31(x46271,x46272)+~E(x46272,f118(x46271))
% 163.24/162.97 [4636]~P120(x46361)+~E(x46362,f2(x46361))+E(f83(x46361,x46362),f2(x46361))
% 163.24/162.97 [4637]~P90(x46371)+~E(x46372,f2(x46371))+E(f83(x46371,x46372),f2(x46371))
% 163.24/162.97 [4645]~P143(x46452)+~P33(x46452,x46451)+E(x46451,f2(x46452))
% 163.24/162.97 [4679]~P120(x46792)+~E(f83(x46792,x46791),f2(x46792))+E(x46791,f2(x46792))
% 163.24/162.97 [4696]~P28(x46962)+~P28(x46961)+P28(f890(x46961,x46962))
% 163.24/162.97 [4697]~P28(x46972)+~P28(x46971)+P28(f888(x46971,x46972))
% 163.24/162.97 [4698]~P28(x46982)+~P28(x46981)+P28(f889(x46981,x46982))
% 163.24/162.97 [4699]~P30(x46992)+~P30(x46991)+P30(f202(x46991,x46992))
% 163.24/162.97 [4700]~P145(x47002)+~P145(x47001)+P145(f889(x47001,x47002))
% 163.24/162.97 [4701]~P62(x47012)+~P62(x47011)+P62(f890(x47011,x47012))
% 163.24/162.97 [4702]~P62(x47022)+~P62(x47021)+P62(f888(x47021,x47022))
% 163.24/162.97 [4703]~P62(x47032)+~P62(x47031)+P62(f889(x47031,x47032))
% 163.24/162.97 [4704]~P62(x47041)+~P96(x47042)+P96(f890(x47041,x47042))
% 163.24/162.97 [4705]~P104(x47052)+~P104(x47051)+P104(f889(x47051,x47052))
% 163.24/162.97 [4829]~P109(x48291)+~P31(x48291,x48292)+P31(x48291,f153(x48291,x48292))
% 163.24/162.97 [5064]~P30(x50642)+~P30(x50641)+P30(f46(a1,x50641,x50642))
% 163.24/162.97 [4647]~P77(x46471)+~E(x46472,f2(x46471))+E(f333(f80(x46471),x46472),x46472)
% 163.24/162.97 [4651]~P140(x46511)+~E(x46512,f2(a1))+E(f333(f107(x46511),x46512),f2(x46511))
% 163.24/162.97 [4652]~P93(x46521)+~E(x46522,f2(a1))+E(f333(f107(x46521),x46522),f2(x46521))
% 163.24/162.97 [4676]~P75(x46761)+~E(f2(x46761),x46762)+E(f333(f80(x46761),x46762),f2(x46761))
% 163.24/162.97 [4677]~P75(x46771)+~E(x46772,f2(x46771))+E(f333(f80(x46771),x46772),f2(x46771))
% 163.24/162.97 [4678]~P87(x46781)+~E(x46782,f2(x46781))+E(f333(f76(x46781),x46782),f2(x46781))
% 163.24/162.97 [4707]~P77(x47072)+E(x47071,f2(x47072))+~E(f333(f80(x47072),x47071),x47071)
% 163.24/162.97 [4713]E(x47131,f333(a109,x47132))+~E(x47131,f2(a880))+~E(x47132,f333(f105(a1),x47131))
% 163.24/162.97 [4714]E(f333(a109,x47141),x47142)+~E(x47142,f2(a880))+~E(x47141,f333(f105(a1),x47142))
% 163.24/162.97 [4716]~P93(x47162)+E(x47161,f2(a1))+~E(f333(f107(x47162),x47161),f2(x47162))
% 163.24/162.97 [4721]~P75(x47212)+E(x47211,f2(x47212))+~E(f333(f80(x47212),x47211),f2(x47212))
% 163.24/162.97 [4722]~P87(x47222)+E(x47221,f2(x47222))+~E(f333(f76(x47222),x47221),f2(x47222))
% 163.24/162.97 [4723]~P75(x47231)+E(f2(x47231),x47232)+~E(f333(f80(x47231),x47232),f2(x47231))
% 163.24/162.97 [4861]~P2(a5000)+~E(f333(a28,x48612),f333(f242(a875),x48611))+P24(f333(a25,x48611))
% 163.24/162.97 [4903]~P109(x49031)+~P31(x49031,x49032)+P31(x49031,f333(f172(x49031),x49032))
% 163.24/162.97 [4929]~P24(x49292)+~P24(x49291)+P24(f333(f333(a331,x49291),x49292))
% 163.24/162.97 [4961]~E(f79(a880),f2(a880))+E(f333(f39(x49611),x49612),f2(a880))+~P24(f333(f63(x49611),x49612))
% 163.24/162.97 [4994]~P113(x49941)+~P144(x49941)+E(f333(f333(f264(x49941),f2(x49941)),f333(a117,x49942)),f2(x49941))
% 163.24/162.97 [5032]~P109(x50321)+P31(x50321,f140(x50321,x50322))+~P24(f333(f63(x50321),x50322))
% 163.24/162.97 [5033]~P109(x50331)+P31(x50331,f723(x50332,x50331))+~P24(f333(f63(x50331),x50332))
% 163.24/162.97 [5054]~P109(x50541)+E(f333(f173(x50541),f140(x50541,x50542)),x50542)+~P24(f333(f63(x50541),x50542))
% 163.24/162.97 [5055]~P109(x50551)+E(f333(f173(x50551),f723(x50552,x50551)),x50552)+~P24(f333(f63(x50551),x50552))
% 163.24/162.97 [5084]P24(x50841)+P24(x50842)+~P24(f333(f333(a332,x50842),x50841))
% 163.24/162.97 [5096]E(x50961,f194(f890(x50962,a874)))+~E(f333(f39(x50962),x50961),f2(a880))+~P24(f333(f63(x50962),x50961))
% 163.24/162.97 [5101]P24(x51011)+~P24(x51012)+~P24(f333(f333(a336,x51012),x51011))
% 163.24/162.97 [5148]~P74(x51481)+E(f333(f76(x51481),x51482),x51482)+P24(f333(f333(f251(x51481),x51482),f2(x51481)))
% 163.24/162.97 [5219]~P62(x52192)+~P24(f333(f59(x52192),x52191))+P24(f333(x52191,f646(x52191,x52192)))
% 163.24/162.97 [5220]~P62(x52202)+~P24(f333(f59(x52202),x52201))+P24(f333(x52201,f667(x52201,x52202)))
% 163.24/162.97 [5248]~P24(f333(a25,x52482))+~P24(f333(a25,x52481))+P24(f333(a25,f34(x52481,x52482)))
% 163.24/162.97 [5257]E(x52571,f118(x52572))+P24(f333(f138(x52572),f119(x52572,x52571)))+~P24(f333(f138(x52572),x52571))
% 163.24/162.97 [5262]~P109(x52621)+~P24(f333(f63(x52621),x52622))+P24(f333(f138(x52621),f140(x52621,x52622)))
% 163.24/162.97 [5263]~P109(x52631)+~P24(f333(f63(x52631),x52632))+P24(f333(f138(x52631),f723(x52632,x52631)))
% 163.24/162.97 [5269]~P140(x52691)+E(f333(f105(x52691),f333(a109,x52692)),f333(f107(x52691),x52692))+P24(f333(f333(f251(a1),x52692),f2(a1)))
% 163.24/162.97 [5299]P5(x52992,x52991)+E(f333(x52991,f568(x52991)),f333(x52991,f574(x52991)))+P24(f333(f333(x52991,f568(x52991)),f574(x52991)))
% 163.24/162.97 [5313]E(f333(f105(a1),f405(x53131,x53132)),x53131)+P24(f333(x53132,f333(a109,x53131)))+~P24(f333(x53132,f2(a880)))
% 163.24/162.97 [5325]~P62(x53251)+~P24(f333(x53252,f668(x53252,x53251)))+P24(f333(f60(x53251),x53252))
% 163.24/162.97 [5326]~P62(x53261)+~P24(f333(x53262,f669(x53262,x53261)))+P24(f333(f60(x53261),x53262))
% 163.24/162.97 [5340]~P62(x53402)+~P38(x53402,x53401,f57(x53402))+P24(f333(x53401,f741(x53401,x53402)))
% 163.24/162.97 [5356]~P120(x53561)+~E(f83(x53561,x53562),f333(f80(x53561),f79(x53561)))+P24(f333(f333(f251(x53561),x53562),f2(x53561)))
% 163.24/162.97 [5432]~E(x54322,f2(a1))+E(f225(x54321,x54322),f333(f333(f263(a1,a1),f2(a1)),f79(a1)))+P24(f333(f333(f251(a1),x54322),f2(a1)))
% 163.24/162.97 [5433]~E(x54331,f2(a1))+E(f225(x54331,x54332),f333(f333(f263(a1,a1),f2(a1)),f79(a1)))+P24(f333(f333(f251(a1),x54332),f2(a1)))
% 163.24/162.97 [5485]E(f333(f105(a1),f405(x54851,x54852)),x54851)+P24(f333(x54852,f333(a109,x54851)))+P24(f333(f333(f251(a1),x54851),f2(a1)))
% 163.24/162.97 [5546]~P120(x55461)+E(f83(x55461,x55462),f333(f80(x55461),f79(x55461)))+~P24(f333(f333(f251(x55461),x55462),f2(x55461)))
% 163.24/162.97 [5547]~P87(x55471)+E(f333(f76(x55471),x55472),f333(f80(x55471),x55472))+~P24(f333(f333(f251(x55471),x55472),f2(x55471)))
% 163.24/162.97 [5548]~P87(x55481)+E(f333(f76(x55481),x55482),f333(f80(x55481),x55482))+~P24(f333(f333(f250(x55481),x55482),f2(x55481)))
% 163.24/162.97 [5549]~P74(x55491)+E(f333(f76(x55491),x55492),f333(f80(x55491),x55492))+~P24(f333(f333(f251(x55491),x55492),f2(x55491)))
% 163.24/162.97 [5645]~P24(f333(x56451,f405(x56452,x56451)))+P24(f333(x56451,f333(a109,x56452)))+~P24(f333(x56451,f2(a880)))
% 163.24/162.97 [5652]E(x56521,f2(a880))+E(f333(a117,f843(x56522,x56521)),x56521)+~P24(f333(f333(f251(a880),x56521),f333(a117,x56522)))
% 163.24/162.97 [5656]P5(x56561,x56562)+~E(f333(x56562,f568(x56562)),f333(x56562,f574(x56562)))+~P24(f333(f333(x56562,f568(x56562)),f574(x56562)))
% 163.24/162.97 [5676]~P109(x56761)+P31(x56761,x56762)+P24(f333(f333(f250(a880),f647(x56762,x56761)),f648(x56762,x56761)))
% 163.24/162.97 [5677]~P109(x56771)+P31(x56771,x56772)+P24(f333(f333(f250(a880),f654(x56772,x56771)),f664(x56772,x56771)))
% 163.24/162.97 [5764]~P87(x57641)+~E(x57642,f2(x57641))+P24(f333(f333(f250(x57641),f333(f76(x57641),x57642)),f2(x57641)))
% 163.24/162.97 [5843]~P62(x58432)+~P62(x58431)+E(f61(x58431,x58432,f57(x58431),f57(x58432)),f57(f889(x58431,x58432)))
% 163.24/162.97 [5847]~P24(f333(x58471,f405(x58472,x58471)))+P24(f333(x58471,f333(a109,x58472)))+P24(f333(f333(f251(a1),x58472),f2(a1)))
% 163.24/162.97 [5870]~P24(f333(x58701,f333(a109,x58702)))+P24(f333(x58701,f2(a880)))+~P24(f333(f333(f251(a1),x58702),f2(a1)))
% 163.24/162.97 [6209]~P120(x62091)+~P24(f333(f333(f251(x62091),x62092),f2(x62091)))+P24(f333(f333(f251(x62091),f83(x62091,x62092)),f2(x62091)))
% 163.24/162.97 [6322]~P120(x63221)+P24(f333(f333(f251(x63221),f333(f107(x63221),x63222)),f2(x63221)))+~P24(f333(f333(f251(a1),x63222),f2(a1)))
% 163.24/162.97 [6323]~P120(x63231)+P24(f333(f333(f250(x63231),f333(f107(x63231),x63232)),f2(x63231)))+~P24(f333(f333(f250(a1),x63232),f2(a1)))
% 163.24/162.97 [6330]~P87(x63302)+E(x63301,f2(x63302))+~P24(f333(f333(f250(x63302),f333(f76(x63302),x63301)),f2(x63302)))
% 163.24/162.97 [6406]~P140(x64061)+~P24(f333(f333(f335(x64061),x64062),f114(x64061)))+P24(f333(f333(f335(x64061),f333(f80(x64061),x64062)),f114(x64061)))
% 163.24/162.97 [6438]~P120(x64381)+~P24(f333(f333(f251(x64381),f83(x64381,x64382)),f2(x64381)))+P24(f333(f333(f251(x64381),x64382),f2(x64381)))
% 163.24/162.97 [6604]~P120(x66042)+~P24(f333(f333(f251(x66042),f333(f107(x66042),x66041)),f2(x66042)))+P24(f333(f333(f251(a1),x66041),f2(a1)))
% 163.24/162.97 [6605]~P120(x66052)+~P24(f333(f333(f250(x66052),f333(f107(x66052),x66051)),f2(x66052)))+P24(f333(f333(f250(a1),x66051),f2(a1)))
% 163.24/162.97 [7099]~P120(x70991)+~P24(f333(f333(f251(x70991),x70992),f2(x70991)))+P24(f333(f333(f251(x70991),f333(f333(f81(x70991),x70992),x70992)),f2(x70991)))
% 163.24/162.97 [7100]~P77(x71001)+~P24(f333(f333(f251(x71001),x71002),f2(x71001)))+P24(f333(f333(f251(x71001),f333(f333(f81(x71001),x71002),x71002)),f2(x71001)))
% 163.24/162.97 [7101]~P77(x71011)+~P24(f333(f333(f250(x71011),x71012),f2(x71011)))+P24(f333(f333(f250(x71011),f333(f333(f81(x71011),x71012),x71012)),f2(x71011)))
% 163.24/162.97 [7653]~P120(x76531)+~P24(f333(f333(f251(x76531),f333(f333(f81(x76531),x76532),x76532)),f2(x76531)))+P24(f333(f333(f251(x76531),x76532),f2(x76531)))
% 163.24/162.97 [7654]~P77(x76541)+~P24(f333(f333(f251(x76541),f333(f333(f81(x76541),x76542),x76542)),f2(x76541)))+P24(f333(f333(f251(x76541),x76542),f2(x76541)))
% 163.24/162.97 [7655]~P77(x76551)+~P24(f333(f333(f250(x76551),f333(f333(f81(x76551),x76552),x76552)),f2(x76551)))+P24(f333(f333(f250(x76551),x76552),f2(x76551)))
% 163.24/162.97 [4761]~E(x47612,f2(a880))+~E(x47611,f2(a880))+E(f333(f333(f81(a880),x47611),x47612),f2(a880))
% 163.24/162.97 [4762]~E(x47622,f79(a880))+~E(x47621,f79(a880))+E(f333(f333(f82(a880),x47621),x47622),f79(a880))
% 163.24/162.97 [4763]~E(x47632,f79(a1))+~E(x47631,f79(a1))+E(f333(f333(f82(a1),x47631),x47632),f79(a1))
% 163.24/162.97 [4815]~P118(x48152)+E(x48151,f2(x48152))+E(f333(f333(f291(x48152),x48151),x48151),f79(x48152))
% 163.24/162.97 [4816]~P60(x48162)+E(x48161,f2(x48162))+E(f333(f333(f40(x48162),x48161),x48161),f79(x48162))
% 163.24/162.97 [4817]~P119(x48172)+E(x48171,f2(x48172))+E(f333(f333(f291(x48172),x48171),x48171),f79(x48172))
% 163.24/162.97 [4834]~P77(x48341)+~E(x48342,f2(x48341))+E(f333(f333(f81(x48341),x48342),x48342),f2(x48341))
% 163.24/162.97 [4837]~P139(x48371)+~E(x48372,f79(x48371))+E(f333(f333(f82(x48371),x48372),x48372),f79(x48371))
% 163.24/162.97 [4838]~P119(x48381)+~E(x48382,f2(x48381))+E(f333(f333(f291(x48381),x48382),x48382),f2(x48381))
% 163.24/162.97 [4882]~E(x48822,f2(a880))+~E(x48821,f2(a880))+E(f333(f80(a1),f333(f105(a1),x48821)),f333(f105(a1),x48822))
% 163.24/162.97 [4900]E(x49001,f79(a880))+E(x49002,f2(a880))+~E(f333(f333(f82(a880),x49002),x49001),x49002)
% 163.24/162.97 [4910]E(x49101,f2(a880))+E(x49102,f2(a880))+~E(f333(f333(f82(a880),x49102),x49101),f2(a880))
% 163.24/162.97 [4938]~E(x49382,f2(a880))+~E(x49381,f333(a117,f2(a880)))+E(f333(f333(f81(a880),x49381),x49382),f333(a117,f2(a880)))
% 163.24/162.97 [4939]~E(x49391,f2(a880))+~E(x49392,f333(a117,f2(a880)))+E(f333(f333(f81(a880),x49391),x49392),f333(a117,f2(a880)))
% 163.24/162.97 [4944]E(x49441,f79(a1))+E(x49442,f333(f108(a1),a102))+~E(f333(f333(f82(a1),x49441),x49442),f79(a1))
% 163.24/162.97 [4945]E(x49451,f79(a1))+E(x49452,f333(f108(a1),a102))+~E(f333(f333(f82(a1),x49452),x49451),f79(a1))
% 163.24/162.97 [4946]E(x49461,f79(a1))+E(x49461,f333(f108(a1),a102))+~E(f333(f333(f82(a1),x49462),x49461),f79(a1))
% 163.24/162.97 [4948]E(x49481,f79(a1))+E(x49481,f333(f108(a1),a102))+~E(f333(f333(f82(a1),x49481),x49482),f79(a1))
% 163.24/162.97 [4965]~P77(x49652)+E(x49651,f2(x49652))+~E(f333(f333(f81(x49652),x49651),x49651),f2(x49652))
% 163.24/162.97 [4971]~E(x49711,f333(f108(a1),a102))+~E(x49712,f333(f108(a1),a102))+E(f333(f333(f82(a1),x49711),x49712),f79(a1))
% 163.24/162.97 [4983]E(x49831,f2(a880))+E(x49832,f2(a880))+~E(f333(f333(f81(a880),x49832),x49831),f333(a117,f2(a880)))
% 163.24/162.97 [4993]~P63(x49931)+~P94(x49931)+E(f333(f333(f291(x49931),x49932),f333(f108(x49931),a84)),f2(x49931))
% 163.24/162.97 [4999]~P139(x49991)+~E(x49992,f333(f80(x49991),f79(x49991)))+E(f333(f333(f82(x49991),x49992),x49992),f79(x49991))
% 163.24/162.97 [5004]~P30(x50042)+~P30(x50041)+P30(f333(f333(f81(a1),x50041),x50042))
% 163.24/162.97 [5005]~P30(x50052)+~P30(x50051)+P30(f333(f333(f82(a1),x50051),x50052))
% 163.24/162.97 [5006]~P30(x50062)+~P30(x50061)+P30(f333(f333(f40(a1),x50061),x50062))
% 163.24/162.97 [5008]~E(x50082,f2(a1))+E(x50081,f2(a1))+E(f47(x50081,x50082),f333(f333(f263(a1,a1),f2(a1)),x50081))
% 163.24/162.97 [5030]~E(x50302,f333(a117,f2(a880)))+~E(x50301,f333(a117,f2(a880)))+E(f333(f333(f82(a880),x50301),x50302),f333(a117,f2(a880)))
% 163.24/162.97 [5045]E(x50451,f2(a880))+E(x50452,f333(a117,f2(a880)))+~E(f333(f333(f264(a880),x50452),x50451),f333(a117,f2(a880)))
% 163.24/162.97 [5046]E(x50461,f2(a880))+E(x50461,f333(a117,f2(a880)))+~E(f333(f333(f81(a880),x50462),x50461),f333(a117,f2(a880)))
% 163.24/162.97 [5047]E(x50471,f2(a880))+E(x50471,f333(a117,f2(a880)))+~E(f333(f333(f81(a880),x50471),x50472),f333(a117,f2(a880)))
% 163.24/162.97 [5056]~P63(x50561)+~P94(x50561)+E(f333(f333(f291(x50561),x50562),f333(f108(x50561),a102)),f333(f80(x50561),x50562))
% 163.24/162.97 [5076]E(x50761,f333(a109,x50762))+~E(x50761,f2(a880))+P24(f333(f333(f250(a1),f2(a1)),x50762))
% 163.24/162.97 [5077]E(f333(a109,x50771),x50772)+~E(x50772,f2(a880))+P24(f333(f333(f250(a1),f2(a1)),x50771))
% 163.24/162.97 [5092]E(x50921,f333(a117,f2(a880)))+E(x50922,f333(a117,f2(a880)))+~E(f333(f333(f81(a880),x50921),x50922),f333(a117,f2(a880)))
% 163.24/162.97 [5102]~E(x51021,f333(a109,x51022))+E(x51021,f2(a880))+P24(f333(f333(f250(a1),f2(a1)),x51022))
% 163.24/162.97 [5103]~E(f333(a109,x51032),x51031)+E(x51031,f2(a880))+P24(f333(f333(f250(a1),f2(a1)),x51032))
% 163.24/162.97 [5125]~P26(x51251)+E(f333(f65(x51251,f115(x51251)),x51252),f12(x51251,x51252))+~P24(f333(f63(x51251),x51252))
% 163.24/162.97 [5126]~P26(x51261)+E(f333(f65(x51261,f106(x51261)),x51262),f13(x51261,x51262))+~P24(f333(f63(x51261),x51262))
% 163.24/162.97 [5127]~P109(x51271)+E(f333(f65(x51271,f248(x51271)),x51272),f16(x51271,x51272))+~P24(f333(f63(x51271),x51272))
% 163.24/162.97 [5128]~P109(x51281)+E(f333(f65(x51281,f249(x51281)),x51282),f17(x51281,x51282))+~P24(f333(f63(x51281),x51282))
% 163.24/162.97 [5130]~P62(x51301)+~P24(f333(x51302,f197(x51301)))+P24(f333(f59(f884(x51301)),x51302))
% 163.24/162.97 [5212]~P62(x52122)+P24(f333(x52121,f197(x52122)))+~P24(f333(f60(f884(x52122)),x52121))
% 163.24/162.97 [5213]E(x52131,x52132)+~E(f333(f333(f3(a880),x52132),x52131),f2(a880))+~E(f333(f333(f3(a880),x52131),x52132),f2(a880))
% 163.24/162.97 [5227]P30(x52271)+~P42(x52272)+~P24(f333(f333(f335(a1),x52271),x52272))
% 163.24/162.97 [5258]~P120(x52581)+~E(f83(x52581,x52582),f79(x52581))+P24(f333(f333(f251(x52581),f2(x52581)),x52582))
% 163.24/162.97 [5270]~P94(x52701)+E(f333(f105(x52701),f333(f108(a880),x52702)),f333(f108(x52701),x52702))+P24(f333(a200,f333(f108(a1),x52702)))
% 163.24/162.97 [5276]~P45(x52761,x52762)+P46(a874)+P24(f333(f63(f889(x52761,x52761)),x52762))
% 163.24/162.97 [5349]~P109(x53491)+E(f333(f65(x53491,f248(x53491)),x53492),f14(x53491,f248(x53491),x53492))+~P24(f333(f63(x53491),x53492))
% 163.24/162.97 [5350]~P109(x53501)+E(f333(f65(x53501,f249(x53501)),x53502),f15(x53501,f249(x53501),x53502))+~P24(f333(f63(x53501),x53502))
% 163.24/162.97 [5363]E(x53631,x53632)+P24(f333(f333(f251(a880),x53632),x53631))+P24(f333(f333(f251(a880),x53631),x53632))
% 163.24/162.97 [5364]E(x53641,x53642)+P24(f333(f333(f251(a1),x53642),x53641))+P24(f333(f333(f251(a1),x53641),x53642))
% 163.24/162.97 [5419]~P94(x54191)+E(f333(f105(x54191),f333(f108(a880),x54192)),f2(x54191))+~P24(f333(a200,f333(f108(a1),x54192)))
% 163.24/162.97 [5422]~E(x54222,f333(a109,x54221))+E(x54221,f333(f105(a1),x54222))+~P24(f333(f333(f250(a1),f2(a1)),x54221))
% 163.24/162.97 [5423]~E(f333(a109,x54231),x54232)+E(x54231,f333(f105(a1),x54232))+~P24(f333(f333(f250(a1),f2(a1)),x54231))
% 163.24/162.97 [5424]~E(x54241,f333(a109,x54242))+E(f333(f105(a1),x54241),x54242)+~P24(f333(f333(f250(a1),f2(a1)),x54242))
% 163.24/162.97 [5434]E(x54341,f333(a109,x54342))+~E(x54342,f333(f105(a1),x54341))+~P24(f333(f333(f250(a1),f2(a1)),x54342))
% 163.24/162.97 [5435]E(f333(a109,x54351),x54352)+~E(x54351,f333(f105(a1),x54352))+~P24(f333(f333(f250(a1),f2(a1)),x54351))
% 163.24/162.97 [5474]~P87(x54742)+E(x54741,f2(x54742))+P24(f333(f333(f251(x54742),f2(x54742)),f333(f76(x54742),x54741)))
% 163.24/162.97 [5539]~P120(x55391)+E(f83(x55391,x55392),f79(x55391))+~P24(f333(f333(f251(x55391),f2(x55391)),x55392))
% 163.24/162.97 [5543]~P94(x55431)+E(f333(f105(x55431),f333(f108(a880),x55432)),f2(x55431))+P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x55432)))
% 163.24/162.97 [5550]~P87(x55501)+E(f333(f76(x55501),x55502),x55502)+~P24(f333(f333(f251(x55501),f2(x55501)),x55502))
% 163.24/162.97 [5551]~P87(x55511)+E(f333(f76(x55511),x55512),x55512)+~P24(f333(f333(f250(x55511),f2(x55511)),x55512))
% 163.24/162.97 [5558]E(x55581,f2(a880))+~E(f140(a880,f333(f303(a880,x55582),x55581)),f118(a880))+P24(f333(f333(f250(a880),x55581),x55582))
% 163.24/162.97 [5568]~P69(x55681)+E(f333(f333(f8(x55681,x55681),f7(x55681)),f333(f173(x55681),x55682)),f333(f167(x55681),x55682))+~P24(f333(f138(x55681),x55682))
% 163.24/162.97 [5571]~P140(x55711)+E(f333(f105(x55711),f333(a109,x55712)),f333(f107(x55711),x55712))+~P24(f333(f333(f250(a1),f2(a1)),x55712))
% 163.24/162.97 [5598]E(x55981,x55982)+P24(f333(f333(f251(a880),x55981),x55982))+~P24(f333(f333(f250(a880),x55981),x55982))
% 163.24/162.97 [5599]E(x55991,x55992)+P24(f333(f333(f251(a1),x55991),x55992))+~P24(f333(f333(f250(a1),x55991),x55992))
% 163.24/162.97 [5602]E(x56021,f79(a1))+~E(f333(f333(f82(a1),x56022),x56021),f79(a1))+~P24(f333(f333(f251(a1),f2(a1)),x56022))
% 163.24/162.97 [5603]E(x56031,f79(a1))+~E(f333(f333(f82(a1),x56031),x56032),f79(a1))+~P24(f333(f333(f251(a1),f2(a1)),x56031))
% 163.24/162.97 [5642]~P42(x56422)+P24(f333(f333(f250(a1),f2(a1)),x56421))+~P24(f333(f333(f335(a1),x56421),x56422))
% 163.24/162.97 [5661]~P57(x56611,x56612)+P40(x56611,x56612)+~P24(f333(f63(f889(x56611,x56611)),x56612))
% 163.24/162.97 [5663]~P57(x56631,x56632)+P45(x56631,x56632)+~P24(f333(f63(f889(x56631,x56631)),x56632))
% 163.24/162.97 [5707]E(x57071,f194(f890(x57072,a874)))+~P24(f333(f63(x57072),x57071))+P24(f333(f333(f251(a880),f2(a880)),f333(f39(x57072),x57071)))
% 163.24/162.97 [5733]~P24(f333(x57331,x57332))+P24(f333(x57331,f2(a880)))+P24(f333(f333(f251(a880),f373(x57332,x57331)),x57332))
% 163.24/162.97 [5758]E(x57581,f2(a880))+~E(f333(f167(a880),x57582),f2(a880))+~P24(f333(f333(f335(a880),x57581),f333(f173(a880),x57582)))
% 163.24/162.97 [5824]E(x58241,x58242)+~P24(f333(f333(f250(a880),x58242),x58241))+~P24(f333(f333(f250(a880),x58241),x58242))
% 163.24/162.97 [5825]E(x58251,x58252)+~P24(f333(f333(f250(a1),x58252),x58251))+~P24(f333(f333(f250(a1),x58251),x58252))
% 163.24/162.97 [5826]E(f333(f39(x58261),x58262),f2(a880))+~P24(f333(f63(x58261),x58262))+P24(f333(f333(f335(x58261),f374(x58262,x58261)),x58262))
% 163.24/162.97 [5835]E(f51(x58351,x58352),f47(x58351,x58352))+P24(f333(f333(f250(a1),f2(a1)),x58351))+~P24(f333(f333(f251(a1),f2(a1)),x58352))
% 163.24/162.97 [5859]~P24(f333(x58591,f397(x58591)))+P24(f333(x58591,f333(a109,x58592)))+~P24(f333(f333(f250(a1),f2(a1)),x58592))
% 163.24/162.97 [5861]P24(f333(f333(f251(a880),x58611),f372(x58612)))+~P24(f333(f63(a880),x58612))+~P24(f333(f333(f335(a880),x58611),x58612))
% 163.24/162.97 [5862]P24(f333(f333(f250(a880),x58621),f363(x58622)))+~P24(f333(f63(a880),x58622))+~P24(f333(f333(f335(a880),x58621),x58622))
% 163.24/162.97 [5891]E(x58911,x58912)+~P24(f333(f333(f251(a880),x58911),f333(a117,x58912)))+P24(f333(f333(f251(a880),x58911),x58912))
% 163.24/162.97 [5925]E(x59251,f333(a117,x59252))+~P24(f333(f333(f250(a880),x59251),f333(a117,x59252)))+P24(f333(f333(f250(a880),x59251),x59252))
% 163.24/162.97 [5937]P24(f333(x59371,f404(x59371)))+~P24(f333(x59371,f333(a109,x59372)))+~P24(f333(f333(f250(a1),f2(a1)),x59372))
% 163.24/162.97 [5951]~P24(f333(x59511,x59512))+~P24(f333(f333(f250(a1),f2(a1)),x59512))+P24(f333(x59511,f333(f105(a1),f387(x59511))))
% 163.24/162.97 [5966]~P87(x59662)+~E(x59661,f2(x59662))+~P24(f333(f333(f251(x59662),f2(x59662)),f333(f76(x59662),x59661)))
% 163.24/162.97 [5993]~P57(x59931,x59932)+P40(x59931,f333(f288(x59931,x59931),x59932))+~P24(f333(f63(f889(x59931,x59931)),x59932))
% 163.24/162.97 [6001]~P94(x60011)+E(f333(f105(x60011),f333(f108(a880),x60012)),f333(f108(x60011),x60012))+~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x60012)))
% 163.24/162.97 [6005]E(f333(a117,x60051),x60052)+~P24(f333(f333(f251(a880),x60051),x60052))+P24(f333(f333(f251(a880),f333(a117,x60051)),x60052))
% 163.24/162.97 [6017]E(f333(f333(f40(a1),x60171),x60172),f2(a1))+~P24(f333(f333(f250(a1),x60171),f2(a1)))+~P24(f333(f333(f251(a1),x60172),x60171))
% 163.24/162.97 [6030]E(f46(a1,x60301,x60302),x60301)+~P24(f333(f333(f250(a1),x60301),f2(a1)))+~P24(f333(f333(f251(a1),x60302),x60301))
% 163.24/162.97 [6043]E(f48(x60431,x60432),f47(x60431,x60432))+~P24(f333(f333(f250(a1),f2(a1)),x60431))+~P24(f333(f333(f250(a1),f2(a1)),x60432))
% 163.24/162.97 [6051]E(f333(f333(f40(a1),x60511),x60512),f2(a1))+~P24(f333(f333(f250(a1),f2(a1)),x60511))+~P24(f333(f333(f251(a1),x60511),x60512))
% 163.24/162.97 [6063]E(f46(a880,f333(f108(a880),x60631),f333(f108(a880),x60632)),f333(f108(a880),x60631))+P24(f333(a200,f333(f108(a1),x60631)))+~P24(f333(a200,f333(f108(a1),x60632)))
% 163.24/162.97 [6065]E(f46(a1,x60651,x60652),x60651)+~P24(f333(f333(f250(a1),f2(a1)),x60651))+~P24(f333(f333(f251(a1),x60651),x60652))
% 163.24/162.97 [6066]E(x60661,x60662)+~P24(f333(f333(f251(a880),x60661),f333(a117,x60662)))+~P24(f333(f333(f250(a880),x60662),x60661))
% 163.24/162.97 [6083]~P120(x60831)+~P24(f333(f333(f251(x60831),x60832),f2(x60831)))+P24(f333(f333(f251(x60831),x60832),f333(f80(x60831),x60832)))
% 163.24/162.97 [6084]~P77(x60841)+~P24(f333(f333(f250(x60841),x60842),f2(x60841)))+P24(f333(f333(f250(x60841),x60842),f333(f80(x60841),x60842)))
% 163.24/162.97 [6094]~P29(x60941)+E(f333(f333(f66(x60941,x60941,f115(x60941)),f194(x60941)),x60942),f41(x60941,x60942))+~P24(f333(f63(x60941),x60942))
% 163.24/162.97 [6095]~P29(x60951)+E(f333(f333(f66(x60951,x60951,f106(x60951)),f258(x60951)),x60952),f42(x60951,x60952))+~P24(f333(f63(x60951),x60952))
% 163.24/162.97 [6109]~P123(x61091)+~P24(f333(f333(f251(a880),f2(a880)),x61092))+P24(f333(f333(f251(x61091),f2(x61091)),f333(f105(x61091),x61092)))
% 163.24/162.97 [6110]~P120(x61101)+~P24(f333(f333(f251(a1),f2(a1)),x61102))+P24(f333(f333(f251(x61101),f2(x61101)),f333(f107(x61101),x61102)))
% 163.24/162.97 [6111]~P120(x61111)+~P24(f333(f333(f250(a1),f2(a1)),x61112))+P24(f333(f333(f250(x61111),f2(x61111)),f333(f107(x61111),x61112)))
% 163.24/162.97 [6114]~P30(x61142)+~P30(x61141)+E(f333(f312(a880,a1,f105(a1)),f304(a880,f333(a109,x61141),f333(a109,x61142))),f304(a1,x61141,x61142))
% 163.24/162.97 [6120]P24(f333(x61201,x61202))+~P24(f333(f333(f250(a1),f2(a1)),x61202))+~P24(f333(x61201,f333(f105(a1),f388(x61201))))
% 163.24/162.97 [6145]E(f333(f333(f81(a880),f333(f108(a880),x61451)),f333(f108(a880),x61452)),f333(f108(a880),x61451))+P24(f333(f333(f251(a1),x61451),a84))+~P24(f333(f333(f251(a1),x61452),a84))
% 163.24/162.97 [6151]~P120(x61511)+P24(f333(f333(f251(x61511),f2(x61511)),f83(x61511,x61512)))+~P24(f333(f333(f251(x61511),f2(x61511)),x61512))
% 163.24/162.97 [6162]~P81(x61621)+~P24(f333(f333(f251(x61621),x61622),f2(x61621)))+P24(f333(f333(f251(x61621),f2(x61621)),f333(f80(x61621),x61622)))
% 163.24/162.97 [6163]~P81(x61631)+~P24(f333(f333(f250(x61631),x61632),f2(x61631)))+P24(f333(f333(f250(x61631),f2(x61631)),f333(f80(x61631),x61632)))
% 163.24/162.97 [6166]E(x61661,f258(f890(x61662,a874)))+~E(f333(f39(x61662),x61661),f333(f39(x61662),f258(f890(x61662,a874))))+~P24(f333(f63(x61662),f258(f890(x61662,a874))))
% 163.24/162.97 [6202]~P120(x62021)+P24(f333(f333(f251(x62021),x62022),f2(x62021)))+~P24(f333(f333(f251(x62021),x62022),f333(f80(x62021),x62022)))
% 163.24/162.97 [6203]~P77(x62031)+P24(f333(f333(f250(x62031),x62032),f2(x62031)))+~P24(f333(f333(f250(x62031),x62032),f333(f80(x62031),x62032)))
% 163.24/162.97 [6211]~P94(x62111)+P24(f333(f333(f335(x62111),f333(f108(x62111),x62112)),f192(x62111)))+~P24(f333(f333(f250(a1),a84),x62112))
% 163.24/162.97 [6242]E(x62421,f2(a880))+~P24(f333(f333(f251(a880),x62421),f333(a117,x62422)))+P24(f333(f333(f251(a880),f843(x62422,x62421)),x62422))
% 163.24/162.97 [6264]~P120(x62641)+~P24(f333(f333(f251(x62641),f2(x62641)),f83(x62641,x62642)))+P24(f333(f333(f251(x62641),f2(x62641)),x62642))
% 163.24/162.97 [6266]~E(f333(f108(a880),x62662),f333(f108(a880),x62661))+P24(f333(f333(f250(a1),f333(f108(a1),x62661)),f2(a1)))+~P24(f333(a200,f333(f108(a1),x62662)))
% 163.24/162.97 [6296]E(f333(f262(a1,a1),f51(x62961,x62962)),f333(f333(f40(a1),x62961),x62962))+~P24(f333(f333(f251(a1),x62961),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x62962))
% 163.24/162.97 [6328]E(f333(f271(a1,a1),f51(x63281,x63282)),f46(a1,x63281,x63282))+~P24(f333(f333(f251(a1),x63281),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x63282))
% 163.24/162.97 [6331]~P123(x63312)+~P24(f333(f333(f251(x63312),f2(x63312)),f333(f105(x63312),x63311)))+P24(f333(f333(f251(a880),f2(a880)),x63311))
% 163.24/162.97 [6332]~P120(x63322)+~P24(f333(f333(f251(x63322),f2(x63322)),f333(f107(x63322),x63321)))+P24(f333(f333(f251(a1),f2(a1)),x63321))
% 163.24/162.97 [6333]~P120(x63332)+~P24(f333(f333(f250(x63332),f2(x63332)),f333(f107(x63332),x63331)))+P24(f333(f333(f250(a1),f2(a1)),x63331))
% 163.24/162.97 [6336]E(f333(f262(a1,a1),f48(x63361,x63362)),f333(f333(f40(a1),x63361),x63362))+~P24(f333(f333(f251(a1),f2(a1)),x63361))+~P24(f333(f333(f250(a1),f2(a1)),x63362))
% 163.24/162.97 [6349]E(f333(f271(a1,a1),f48(x63491,x63492)),f46(a1,x63491,x63492))+~P24(f333(f333(f251(a1),f2(a1)),x63491))+~P24(f333(f333(f250(a1),f2(a1)),x63492))
% 163.24/162.97 [6366]~P81(x63661)+P24(f333(f333(f251(x63661),x63662),f2(x63661)))+~P24(f333(f333(f251(x63661),f2(x63661)),f333(f80(x63661),x63662)))
% 163.24/162.97 [6367]~P81(x63671)+P24(f333(f333(f250(x63671),x63672),f2(x63671)))+~P24(f333(f333(f250(x63671),f2(x63671)),f333(f80(x63671),x63672)))
% 163.24/162.97 [6393]P24(f333(f50(x63931,x63932),f51(x63931,x63932)))+~P24(f333(f333(f251(a1),x63931),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x63932))
% 163.24/162.97 [6418]P24(f333(f50(x64181,x64182),f48(x64181,x64182)))+~P24(f333(f333(f251(a1),f2(a1)),x64182))+~P24(f333(f333(f250(a1),f2(a1)),x64181))
% 163.24/162.97 [6461]~P81(x64611)+P24(f333(f333(f251(x64611),f333(f80(x64611),x64612)),f2(x64611)))+~P24(f333(f333(f251(x64611),f2(x64611)),x64612))
% 163.24/162.97 [6462]~P81(x64621)+P24(f333(f333(f250(x64621),f333(f80(x64621),x64622)),f2(x64621)))+~P24(f333(f333(f250(x64621),f2(x64621)),x64622))
% 163.24/162.97 [6478]E(f333(f333(f3(a880),f333(a109,x64781)),f333(a109,x64782)),f333(a109,f202(x64781,x64782)))+~P24(f333(f333(f250(a1),f2(a1)),x64782))+~P24(f333(f333(f250(a1),f2(a1)),x64781))
% 163.24/162.97 [6495]P24(f333(f333(f250(a1),f2(a1)),f202(x64951,x64952)))+~P24(f333(f333(f250(a1),f2(a1)),x64952))+~P24(f333(f333(f250(a1),f2(a1)),x64951))
% 163.24/162.97 [6527]~P24(f333(x65271,x65272))+P24(f333(x65271,f2(a880)))+P24(f333(x65271,f333(f333(f81(a880),f373(x65272,x65271)),f79(a880))))
% 163.24/162.97 [6611]E(f333(f108(a880),x66111),f333(f108(a880),x66112))+~P24(f333(f333(f250(a1),f333(f108(a1),x66112)),f2(a1)))+~P24(f333(a200,f333(f108(a1),x66111)))
% 163.24/162.97 [6621]~E(x66211,f2(a880))+~E(f615(x66212,x66211),f2(a880))+E(f333(f143(a880,a880,f81(a880),x66211),x66212),f2(a880))
% 163.24/162.97 [6647]~P24(f333(f63(x66471),f681(x66472,x66471)))+~P24(f333(f63(f890(x66471,a874)),x66472))+P24(f333(f63(x66471),f41(f890(x66471,a874),x66472)))
% 163.24/162.97 [6653]E(x66531,x66532)+P24(f333(f333(f251(a1),x66531),x66532))+~P24(f333(f333(f251(a1),x66531),f333(f333(f81(a1),x66532),f79(a1))))
% 163.24/162.97 [6655]P24(f333(f333(f251(a880),f333(a109,x66551)),f333(a109,x66552)))+~P24(f333(f333(f251(a1),f2(a1)),x66552))+~P24(f333(f333(f251(a1),x66551),x66552))
% 163.24/162.97 [6656]P24(f333(f333(f251(a880),f333(a109,x66561)),f333(a109,x66562)))+~P24(f333(f333(f250(a1),f2(a1)),x66561))+~P24(f333(f333(f251(a1),x66561),x66562))
% 163.24/162.97 [6657]P24(f333(f333(f250(a880),f333(a109,x66571)),f333(a109,x66572)))+~P24(f333(f333(f251(a1),f2(a1)),x66571))+~P24(f333(f333(f250(a1),x66571),x66572))
% 163.24/162.97 [6658]P24(f333(f333(f250(a880),f333(a109,x66581)),f333(a109,x66582)))+~P24(f333(f333(f250(a1),f2(a1)),x66582))+~P24(f333(f333(f250(a1),x66581),x66582))
% 163.24/162.97 [6669]E(f46(a880,f333(a109,x66691),f333(a109,x66692)),f333(a109,f46(a1,x66691,x66692)))+~P24(f333(f333(f250(a1),f2(a1)),x66692))+~P24(f333(f333(f250(a1),f2(a1)),x66691))
% 163.24/162.97 [6691]~P81(x66911)+~P24(f333(f333(f251(x66911),f333(f80(x66911),x66912)),f2(x66911)))+P24(f333(f333(f251(x66911),f2(x66911)),x66912))
% 163.24/162.97 [6692]~P81(x66921)+~P24(f333(f333(f250(x66921),f333(f80(x66921),x66922)),f2(x66921)))+P24(f333(f333(f250(x66921),f2(x66921)),x66922))
% 163.24/162.97 [6707]~P24(f333(f333(f251(a1),a84),x67072))+~P24(f333(f333(f251(a1),x67071),x67072))+P24(f333(f333(f251(a880),f333(f108(a880),x67071)),f333(f108(a880),x67072)))
% 163.24/162.97 [6792]~P24(f333(f333(f250(a1),f2(a1)),x67921))+P24(f333(f333(f251(a880),f333(a109,x67921)),x67922))+~P24(f333(f333(f251(a1),x67921),f333(f105(a1),x67922)))
% 163.24/162.97 [6808]E(x68081,f2(a1))+E(f46(a1,x68082,x68081),f2(a1))+E(f333(f333(f3(a1),f333(f80(a1),f333(f333(f40(a1),x68082),x68081))),f79(a1)),f333(f333(f40(a1),x68082),f333(f80(a1),x68081)))
% 163.24/162.97 [6821]~P24(f333(f333(f250(a1),f2(a1)),x68211))+~P24(f333(f333(f251(a880),f333(a109,x68211)),x68212))+P24(f333(f333(f251(a1),x68211),f333(f105(a1),x68212)))
% 163.24/162.97 [6858]~P24(f333(f333(f250(a880),f333(a109,x68581)),f333(a109,x68582)))+~P24(f333(f333(f251(a1),f2(a1)),x68581))+P24(f333(f333(f250(a1),x68581),x68582))
% 163.24/162.97 [6859]~P24(f333(f333(f250(a880),f333(a109,x68591)),f333(a109,x68592)))+~P24(f333(f333(f250(a1),f2(a1)),x68592))+P24(f333(f333(f250(a1),x68591),x68592))
% 163.24/162.97 [6885]P24(f333(f333(f250(a1),x68851),x68852))+~P24(f333(f333(f250(a880),f333(f108(a880),x68851)),f333(f108(a880),x68852)))+P24(f333(f333(f250(a1),x68851),a84))
% 163.24/162.97 [6910]P24(f333(f333(f250(a1),f2(a1)),f46(a1,x69101,x69102)))+~P24(f333(f333(f250(a1),f2(a1)),x69102))+~P24(f333(f333(f250(a1),f2(a1)),x69101))
% 163.24/162.97 [7011]P24(f333(f333(f251(a1),a84),x70111))+~P24(f333(f333(f251(a1),x70112),x70111))+~P24(f333(f333(f251(a880),f333(f108(a880),x70112)),f333(f108(a880),x70111)))
% 163.24/162.97 [7062]E(f333(f333(f263(a1,a1),f333(f333(f40(a1),x70621),x70622)),f46(a1,x70621,x70622)),f51(x70621,x70622))+~P24(f333(f333(f251(a1),x70621),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x70622))
% 163.24/162.97 [7082]E(f333(f333(f263(a1,a1),f333(f333(f40(a1),x70821),x70822)),f46(a1,x70821,x70822)),f48(x70821,x70822))+~P24(f333(f333(f250(a1),f2(a1)),x70822))+~P24(f333(f333(f250(a1),f2(a1)),x70821))
% 163.24/162.97 [7133]~P97(x71332)+E(x71331,f118(x71332))+E(f333(f143(x71332,x71332,f82(x71332),f333(f142(x71332),x71331)),f333(f172(x71332),x71331)),f333(f65(x71332,f82(x71332)),f333(f173(x71332),x71331)))
% 163.24/162.97 [7245]~E(x72451,f2(a880))+E(f333(f143(a880,a880,f81(a880),x72451),x72452),f2(a880))+P24(f333(f333(f335(a880),f615(x72452,x72451)),f333(f173(a880),x72452)))
% 163.24/162.97 [7289]~P24(f333(f333(f251(a1),x72892),f2(a1)))+P24(f333(f333(f251(a1),f333(f333(f40(a1),x72891),x72892)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x72891))
% 163.24/162.97 [7291]~P24(f333(f333(f251(a1),x72911),f2(a1)))+P24(f333(f333(f251(a1),f333(f333(f40(a1),x72911),x72912)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x72912))
% 163.24/162.97 [7292]~P24(f333(f333(f251(a1),x72922),f2(a1)))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x72921),x72922)),f2(a1)))+~P24(f333(f333(f250(a1),f2(a1)),x72921))
% 163.24/162.97 [7293]~P24(f333(f333(f250(a1),x72931),f2(a1)))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x72931),x72932)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x72932))
% 163.24/162.97 [7300]P24(f333(f333(f335(f890(x73001,a874)),f681(x73002,x73001)),x73002))+~P24(f333(f63(f890(x73001,a874)),x73002))+P24(f333(f63(x73001),f41(f890(x73001,a874),x73002)))
% 163.24/162.97 [7389]P21(x73891,x73891,x73892,f258(f890(x73891,a874)))+~E(f333(f312(x73891,x73891,x73892),f258(f890(x73891,a874))),f258(f890(x73891,a874)))+~P24(f333(f63(x73891),f258(f890(x73891,a874))))
% 163.24/162.97 [7514]~P21(x75141,x75141,x75142,f258(f890(x75141,a874)))+E(f333(f312(x75141,x75141,x75142),f258(f890(x75141,a874))),f258(f890(x75141,a874)))+~P24(f333(f63(x75141),f258(f890(x75141,a874))))
% 163.24/162.97 [7647]E(f333(f333(f40(a1),x76471),x76472),f333(f108(a1),a102))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),x76471),x76472)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x76471))
% 163.24/162.97 [7705]~P24(f333(f333(f251(a1),x77052),f2(a1)))+~P24(f333(f333(f251(a1),f333(f333(f40(a1),x77051),x77052)),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x77051))
% 163.24/162.97 [7710]E(f333(f333(f81(a1),x77101),x77102),f46(a1,x77101,x77102))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),x77101),x77102)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x77101))
% 163.24/162.97 [7713]P24(f333(f333(f251(a1),x77131),f2(a1)))+~P24(f333(f333(f251(a1),f333(f333(f40(a1),x77131),x77132)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x77132))
% 163.24/162.97 [8103]~P62(x81031)+~P24(f333(f60(f884(x81031)),x81032))+P24(f333(f60(x81031),f333(f333(f10(f884(x81031),a874,x81031),x81032),f242(x81031))))
% 163.24/162.97 [8409]~P109(x84091)+P31(x84091,x84092)+~P24(f333(f333(f250(x84091),f333(f333(f166(x84091),x84092),f647(x84092,x84091))),f333(f333(f166(x84091),x84092),f648(x84092,x84091))))
% 163.24/162.97 [8410]~P109(x84101)+P31(x84101,x84102)+~P24(f333(f333(f250(x84101),f333(f333(f166(x84101),x84102),f654(x84102,x84101))),f333(f333(f166(x84101),x84102),f664(x84102,x84101))))
% 163.24/162.97 [8567]~P62(x85671)+P24(f333(f59(f884(x85671)),x85672))+~P24(f333(f59(x85671),f333(f333(f10(f884(x85671),a874,x85671),x85672),f242(x85671))))
% 163.24/162.97 [9747]~P62(x97471)+~P62(x97472)+E(f333(f333(f155(f881(x97471),f890(x97472,x97471)),f333(f333(f10(f890(x97472,f884(x97471)),f890(x97472,x97471),f881(x97471)),f74(f884(x97471),x97471,x97472,f246(x97471))),f333(f333(f10(f881(f889(x97472,x97471)),f890(x97472,f884(x97471)),f881(x97471)),f178(x97472,x97471)),f333(f182(x97472,x97471),f57(x97472))))),f56(x97471,f333(f195(f881(x97472)),f57(x97472)),f57(x97471))),f57(f890(x97472,x97471)))
% 163.24/162.97 [5700]E(x57001,f2(a1))+~E(f46(a1,x57002,x57001),f2(a1))+E(f333(f333(f40(a1),x57002),f333(f80(a1),x57001)),f333(f80(a1),f333(f333(f40(a1),x57002),x57001)))
% 163.24/162.97 [5718]~P42(x57182)+~P42(x57181)+P42(f333(f333(f115(f890(a1,a874)),x57181),x57182))
% 163.24/162.97 [5719]~P42(x57192)+~P42(x57191)+P42(f333(f333(f106(f890(a1,a874)),x57191),x57192))
% 163.24/162.97 [5736]~P63(x57361)+~P94(x57361)+E(f333(f80(x57361),f333(f333(f291(x57361),f79(x57361)),x57362)),f333(f333(f291(x57361),f333(f108(x57361),a102)),x57362))
% 163.24/162.97 [5851]E(x58511,f2(a1))+~E(f46(a1,x58512,x58511),f2(a1))+E(f333(f333(f40(a1),f333(f80(a1),x58512)),x58511),f333(f80(a1),f333(f333(f40(a1),x58512),x58511)))
% 163.24/162.97 [5987]~P109(x59871)+P31(x59871,x59872)+P24(f333(f333(f251(a880),f648(x59872,x59871)),f333(f195(f881(x59871)),x59872)))
% 163.24/162.97 [5988]~P109(x59881)+P31(x59881,x59882)+P24(f333(f333(f251(a880),f664(x59882,x59881)),f333(f195(f881(x59881)),x59882)))
% 163.24/162.97 [6141]~P94(x61411)+~E(f333(f108(x61411),x61412),f2(x61411))+P33(x61411,f333(f108(x61411),f333(f333(f81(a1),x61412),f333(f80(a1),a84))))
% 163.24/162.97 [6142]~P94(x61421)+~E(f333(f108(x61421),x61422),f2(x61421))+P33(x61421,f333(f108(x61421),f333(f333(f81(a1),a84),f333(f80(a1),x61422))))
% 163.24/162.97 [6144]E(f333(a52,f48(f333(f80(a1),x61441),f333(f80(a1),x61442))),f47(x61441,x61442))+P24(f333(f333(f251(a1),f2(a1)),x61442))+P24(f333(f333(f250(a1),f2(a1)),x61441))
% 163.24/162.97 [6272]~E(x62722,f2(a880))+~E(x62721,f2(a880))+P24(f333(f333(f250(a1),f333(f105(a1),x62721)),f333(f80(a1),f333(f105(a1),x62722))))
% 163.24/162.97 [6300]E(f333(f333(f81(a880),f333(f108(a880),x63001)),f333(f108(a880),x63002)),f333(f108(a880),f333(f333(f81(a1),x63001),x63002)))+P24(f333(f333(f251(a1),x63001),a84))+P24(f333(f333(f251(a1),x63002),a84))
% 163.24/162.97 [6427]~P77(x64271)+~P24(f333(f333(f251(x64271),f2(x64271)),x64272))+P24(f333(f333(f251(x64271),f333(f80(x64271),x64272)),x64272))
% 163.24/162.97 [6428]~P77(x64281)+~P24(f333(f333(f250(x64281),f2(x64281)),x64282))+P24(f333(f333(f250(x64281),f333(f80(x64281),x64282)),x64282))
% 163.24/162.97 [6597]E(f333(f333(f3(a880),f333(a109,x65971)),f333(a109,x65972)),f333(a109,f333(f333(f3(a1),x65971),x65972)))+~P24(f333(f333(f250(a1),f2(a1)),x65972))+~P24(f333(f333(f250(a1),x65972),x65971))
% 163.24/162.97 [6630]E(f333(a109,f46(a1,f333(f108(a1),x66301),f333(f108(a1),x66302))),f46(a880,f333(f108(a880),x66301),f333(f108(a880),x66302)))+P24(f333(a200,f333(f108(a1),x66301)))+P24(f333(a200,f333(f108(a1),x66302)))
% 163.24/162.97 [6648]~P77(x66481)+P24(f333(f333(f251(x66481),f2(x66481)),x66482))+~P24(f333(f333(f251(x66481),f333(f80(x66481),x66482)),x66482))
% 163.24/162.97 [6649]~P77(x66491)+P24(f333(f333(f250(x66491),f2(x66491)),x66492))+~P24(f333(f333(f250(x66491),f333(f80(x66491),x66492)),x66492))
% 163.24/162.97 [6660]~P77(x66601)+~P24(f333(f333(f251(x66601),f2(x66601)),x66602))+P24(f333(f333(f251(x66601),f2(x66601)),f333(f333(f81(x66601),x66602),x66602)))
% 163.24/162.97 [6663]~P77(x66631)+~P24(f333(f333(f250(x66631),f2(x66631)),x66632))+P24(f333(f333(f250(x66631),f2(x66631)),f333(f333(f81(x66631),x66632),x66632)))
% 163.24/162.97 [6674]E(f333(f333(f81(a880),f333(a109,x66741)),f333(a109,x66742)),f333(a109,f333(f333(f81(a1),x66741),x66742)))+~P24(f333(f333(f250(a1),f2(a1)),x66742))+~P24(f333(f333(f250(a1),f2(a1)),x66741))
% 163.24/162.97 [6686]E(x66861,f2(a880))+P24(f333(f333(f251(a880),f2(a880)),x66862))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f264(a880),x66862),x66861)))
% 163.24/162.97 [6716]~P94(x67161)+E(f333(f108(x67161),x67162),f2(x67161))+~P33(x67161,f333(f108(x67161),f333(f333(f81(a1),a84),f333(f80(a1),x67162))))
% 163.24/162.97 [6717]~P94(x67171)+E(f333(f108(x67171),x67172),f2(x67171))+~P33(x67171,f333(f108(x67171),f333(f333(f81(a1),x67172),f333(f80(a1),a84))))
% 163.24/162.97 [6770]~P24(f333(f63(x67701),x67702))+~P24(f333(f63(x67701),f258(f890(x67701,a874))))+P24(f333(f63(x67701),f333(f80(f890(x67701,a874)),x67702)))
% 163.24/162.97 [6793]~P24(f333(f333(f251(a1),f2(a1)),x67932))+~P24(f333(f333(f250(a1),x67932),x67931))+P24(f333(f333(f251(a1),f2(a1)),f333(f333(f40(a1),x67931),x67932)))
% 163.24/162.97 [6794]~P24(f333(f333(f251(a1),x67942),f2(a1)))+~P24(f333(f333(f250(a1),x67941),f2(a1)))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f40(a1),x67941),x67942)))
% 163.24/162.97 [6829]~P24(f333(f333(f251(a880),f2(a880)),x68292))+~P24(f333(f333(f251(a880),f2(a880)),x68291))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f82(a880),x68291),x68292)))
% 163.24/162.97 [6830]~P24(f333(f333(f250(a1),f2(a1)),x68302))+~P24(f333(f333(f250(a1),f2(a1)),x68301))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),x68301),x68302)))
% 163.24/162.97 [6831]~P24(f333(f333(f250(a1),f2(a1)),x68312))+~P24(f333(f333(f250(a1),f2(a1)),x68311))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f82(a1),x68311),x68312)))
% 163.24/162.97 [6832]~P24(f333(f333(f251(a1),f2(a1)),x68322))+~P24(f333(f333(f250(a1),f2(a1)),x68321))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f40(a1),x68321),x68322)))
% 163.24/162.97 [6833]~P24(f333(f333(f250(a1),f2(a1)),x68332))+~P24(f333(f333(f250(a1),f2(a1)),x68331))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f40(a1),x68331),x68332)))
% 163.24/162.97 [6895]E(x68951,f2(a1))+E(f46(a1,x68952,x68951),f2(a1))+E(f333(f333(f3(a1),f333(f80(a1),f333(f333(f40(a1),x68952),x68951))),f79(a1)),f333(f333(f40(a1),f333(f80(a1),x68952)),x68951))
% 163.24/162.97 [6952]P24(f333(f333(f251(a880),f2(a880)),x69521))+P24(f333(f333(f251(a880),f2(a880)),x69522))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f81(a880),x69522),x69521)))
% 163.24/162.97 [6956]~P77(x69561)+P24(f333(f333(f251(x69561),f2(x69561)),x69562))+~P24(f333(f333(f251(x69561),f2(x69561)),f333(f333(f81(x69561),x69562),x69562)))
% 163.24/162.97 [6957]~P77(x69571)+P24(f333(f333(f250(x69571),f2(x69571)),x69572))+~P24(f333(f333(f250(x69571),f2(x69571)),f333(f333(f81(x69571),x69572),x69572)))
% 163.24/162.97 [7012]~P24(f333(f63(x70121),x70122))+P24(f333(f63(x70121),f258(f890(x70121,a874))))+~P24(f333(f63(x70121),f333(f80(f890(x70121,a874)),x70122)))
% 163.24/162.97 [7074]P24(f333(f333(f250(a1),x70741),f2(a1)))+~P24(f333(f333(f251(a1),x70742),f2(a1)))+~P24(f333(f333(f250(a1),f2(a1)),f333(f333(f40(a1),x70741),x70742)))
% 163.24/162.97 [7080]~P24(f333(f333(f251(a1),f2(a1)),x70801))+P24(f333(f333(f250(a1),x70801),x70802))+~P24(f333(f333(f251(a1),f2(a1)),f333(f333(f40(a1),x70802),x70801)))
% 163.24/162.97 [7081]~P24(f333(f333(f250(a1),f2(a1)),x70812))+P24(f333(f333(f250(a1),x70811),x70812))+~P24(f333(f333(f251(a1),f2(a1)),f333(f333(f40(a1),x70812),x70811)))
% 163.24/162.97 [7110]P24(f333(f333(f251(a1),f2(a1)),x71101))+~P24(f333(f333(f250(a1),f2(a1)),x71102))+~P24(f333(f333(f251(a1),f2(a1)),f333(f333(f40(a1),x71102),x71101)))
% 163.24/162.97 [7111]P24(f333(f333(f250(a1),f2(a1)),x71111))+~P24(f333(f333(f251(a1),f2(a1)),x71112))+~P24(f333(f333(f250(a1),f2(a1)),f333(f333(f40(a1),x71111),x71112)))
% 163.24/162.97 [7544]~P24(f333(f63(x75442),f258(f890(x75442,a874))))+~P24(f333(f63(x75441),f258(f890(x75441,a874))))+P24(f333(f63(f888(x75441,x75442)),f258(f890(f888(x75441,x75442),a874))))
% 163.24/162.97 [7545]~P24(f333(f63(x75452),f258(f890(x75452,a874))))+~P24(f333(f63(x75451),f258(f890(x75451,a874))))+P24(f333(f63(f889(x75451,x75452)),f258(f890(f889(x75451,x75452),a874))))
% 163.24/162.97 [7611]~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x76111))+~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x76112))+P24(f333(f333(f251(a880),x76111),f333(f333(f82(a880),x76112),x76111)))
% 163.24/162.97 [7612]~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x76121))+~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x76122))+P24(f333(f333(f251(a880),x76121),f333(f333(f82(a880),x76121),x76122)))
% 163.24/162.97 [7646]E(f333(f39(x76461),f258(f890(x76461,a874))),f333(a117,f2(a880)))+P24(f333(f63(x76462),f258(f890(x76462,a874))))+~P24(f333(f63(f890(x76462,x76461)),f258(f890(f890(x76462,x76461),a874))))
% 163.24/162.97 [7775]~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x77752))+~P24(f333(f333(f251(a880),f333(a117,f2(a880))),x77751))+P24(f333(f333(f251(a880),f333(a117,f2(a880))),f333(f333(f82(a880),x77751),x77752)))
% 163.24/162.97 [7776]~P24(f333(f333(f250(a880),f333(a117,f2(a880))),x77761))+~P24(f333(f333(f250(a880),f333(a117,f2(a880))),x77762))+P24(f333(f333(f250(a880),f333(a117,f2(a880))),f333(f333(f82(a880),x77761),x77762)))
% 163.24/162.97 [8462]E(x84621,f118(x84622))+~P24(f333(f138(x84622),x84621))+E(f177(x84622,f333(f333(f10(a874,a874,x84622),a328),f333(f333(f9(x84622,x84622,a874),a330),f145(x84622,x84621))),x84621),f119(x84622,x84621))
% 163.24/162.97 [8559]~P42(x85592)+~P42(x85591)+E(f333(f312(a880,a1,f105(a1)),f333(f333(f115(f890(a880,a874)),f333(f312(a1,a880,a109),x85591)),f333(f312(a1,a880,a109),x85592))),f333(f333(f115(f890(a1,a874)),x85591),x85592))
% 163.24/162.97 [8560]~P42(x85602)+~P42(x85601)+E(f333(f312(a880,a1,f105(a1)),f333(f333(f106(f890(a880,a874)),f333(f312(a1,a880,a109),x85601)),f333(f312(a1,a880,a109),x85602))),f333(f333(f106(f890(a1,a874)),x85601),x85602))
% 163.24/162.97 [9270]~P94(x92701)+~E(f333(f108(x92701),x92702),f79(x92701))+P33(x92701,f333(f108(x92701),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f333(f80(a1),x92702))))
% 163.24/162.97 [9488]~P94(x94881)+E(f333(f108(x94881),x94882),f79(x94881))+~P33(x94881,f333(f108(x94881),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),f333(f80(a1),x94882))))
% 163.24/162.97 [10220]E(x102201,f2(a1))+E(x102202,f2(a1))+E(f333(f273(a1,a1,a1,a1,f35(a1),f333(f82(a1),f83(a1,x102202))),f333(f333(f333(f101(f889(a1,a1)),f333(f333(a330,f83(a1,x102201)),f83(a1,x102202))),f54(x102201,x102202)),f333(f333(f272(a1,a1,f889(a1,a1)),f333(f333(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f333(f333(f10(f889(a1,a1),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f333(f9(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f333(f333(f10(a874,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f101(f889(a1,a1))),f333(f333(f9(a1,a1,a874),a330),f2(a1))))),f333(f333(f9(a1,a1,f889(a1,a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f80(a1))),f2(a1))))),f333(f333(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f333(f333(f9(a1,a1,a1),f333(f333(f10(a1,f890(a1,a1),a1),f3(a1)),f80(a1))),f79(a1))))),f333(f3(a1),f333(f76(a1),x102202))))),f54(x102201,x102202)))),f47(x102201,x102202))
% 163.24/162.97 [10221]E(x102211,f2(a1))+E(x102212,f2(a1))+E(f333(f273(a1,a1,a1,a1,f35(a1),f333(f82(a1),f83(a1,x102212))),f333(f333(f333(f101(f889(a1,a1)),f333(f333(a332,f333(f333(a331,f333(f333(f251(a1),f2(a1)),x102212)),f333(f333(f250(a1),f2(a1)),x102211))),f333(f333(a331,f333(f333(f251(a1),x102212),f2(a1))),f333(f333(f251(a1),x102211),f2(a1))))),f54(x102211,x102212)),f333(f333(f272(a1,a1,f889(a1,a1)),f333(f333(f20(a1,f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f890(f889(a1,a1),f889(a1,a1))),f890(f890(a1,f889(a1,a1)),f890(a1,f889(a1,a1))),a1),f20(a1,f889(a1,a1),f889(a1,a1))),f333(f333(f10(f889(a1,a1),f890(a1,f890(f889(a1,a1),f889(a1,a1))),a1),f333(f9(a1,f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),f333(f333(f10(a874,f890(f889(a1,a1),f890(f889(a1,a1),f889(a1,a1))),a1),f101(f889(a1,a1))),f333(f333(f9(a1,a1,a874),a330),f2(a1))))),f333(f333(f9(a1,a1,f889(a1,a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f80(a1))),f2(a1))))),f333(f333(f9(a1,f890(a1,a1),f890(a1,f889(a1,a1))),f333(f333(f10(f890(a1,f889(a1,a1)),f890(f890(a1,a1),f890(a1,f889(a1,a1))),a1),f10(a1,f889(a1,a1),a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f333(f333(f9(a1,a1,a1),f333(f333(f10(a1,f890(a1,a1),a1),f3(a1)),f80(a1))),f79(a1))))),f333(f3(a1),f333(f76(a1),x102212))))),f54(x102211,x102212)))),f47(x102211,x102212))
% 163.24/162.97 [10222]~P1(a5000)+P20(a876,x102221,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),x102222),f201(x102222))),f194(f890(f879(a876),a874))))+~P20(a876,x102221,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),f333(f333(f10(f890(a876,f890(a876,a874)),f890(a876,a874),a876),f333(f10(f890(a876,a874),a874,a876),f88(a876))),f333(f333(f10(f890(a876,a874),f890(a876,f890(a876,a874)),a876),f333(f9(a876,f890(a876,a874),f890(a876,a874)),f333(f333(f10(f890(a876,f890(a874,a874)),f890(f890(a876,a874),f890(a876,a874)),a876),f20(a876,a874,a874)),f333(f333(f10(f890(a876,a874),f890(a876,f890(a874,a874)),a876),f333(f10(a874,f890(a874,a874),a876),a336)),f201(x102222))))),a330))),x102222),a330)),f194(f890(f879(a876),a874))))
% 163.24/162.97 [5726]~P120(x57261)+~P94(x57261)+E(f333(f76(x57261),f333(f333(f264(x57261),f333(f108(x57261),a102)),x57262)),f79(x57261))
% 163.24/162.97 [6212]~P140(x62121)+~P24(f333(f333(f251(a1),x62122),f2(a1)))+E(f333(f80(x62121),f333(f105(x62121),f333(a109,f333(f80(a1),x62122)))),f333(f107(x62121),x62122))
% 163.24/162.97 [6411]P24(f333(f333(f250(a104),x64111),f79(a104)))+E(f333(f333(f81(a104),f79(a104)),f281(x64111,f333(f333(f40(a104),x64112),x64111))),f281(x64111,x64112))+P24(f333(f333(f251(a104),x64112),x64111))
% 163.24/162.97 [6997]~P93(x69971)+~P24(f333(f333(f335(x69971),x69972),f114(x69971)))+~E(f333(f333(f81(x69971),f333(f333(f81(x69971),f79(x69971)),x69972)),x69972),f2(x69971))
% 163.24/162.97 [7112]~P24(f333(f333(f251(a1),x71121),f2(a1)))+~P24(f333(f333(f250(a1),x71122),f2(a1)))+E(f333(f262(a1,a1),f333(a52,f48(f333(f80(a1),x71121),f333(f80(a1),x71122)))),f333(f333(f40(a1),x71121),x71122))
% 163.24/162.97 [7129]~P24(f333(f333(f251(a1),x71291),f2(a1)))+~P24(f333(f333(f250(a1),x71292),f2(a1)))+E(f333(f271(a1,a1),f333(a52,f48(f333(f80(a1),x71291),f333(f80(a1),x71292)))),f46(a1,x71291,x71292))
% 163.24/162.97 [7135]~P24(f333(f333(f251(a1),x71352),f2(a1)))+E(f333(f262(a1,a1),f333(a52,f51(f333(f80(a1),x71351),f333(f80(a1),x71352)))),f333(f333(f40(a1),x71351),x71352))+~P24(f333(f333(f251(a1),f2(a1)),x71351))
% 163.24/162.97 [7153]~P24(f333(f333(f251(a1),x71532),f2(a1)))+E(f333(f271(a1,a1),f333(a52,f51(f333(f80(a1),x71531),f333(f80(a1),x71532)))),f46(a1,x71531,x71532))+~P24(f333(f333(f251(a1),f2(a1)),x71531))
% 163.24/162.97 [7206]E(f333(f333(f40(a1),f333(f333(f264(a1),x72061),x72062)),x72061),f333(f333(f264(a1),x72061),f333(f333(f3(a880),x72062),f333(a117,f2(a880)))))+~P24(f333(f333(f251(a880),f2(a880)),x72062))+~P24(f333(f333(f251(a1),f2(a1)),x72061))
% 163.24/162.97 [7297]~P24(f333(f333(f251(a880),f2(a880)),x72971))+~P24(f333(f333(f251(a880),f2(a880)),x72972))+P24(f333(f333(f251(a880),f333(f333(f3(a880),x72971),x72972)),x72971))
% 163.24/162.97 [7298]~P24(f333(f333(f251(a880),f2(a880)),x72981))+~P24(f333(f333(f251(a880),f79(a880)),x72982))+P24(f333(f333(f251(a880),f333(f333(f40(a880),x72981),x72982)),x72981))
% 163.24/162.97 [7299]~P24(f333(f333(f251(a1),f2(a1)),x72991))+~P24(f333(f333(f251(a1),f79(a1)),x72992))+P24(f333(f333(f251(a1),f333(f333(f40(a1),x72991),x72992)),x72991))
% 163.24/162.97 [7439]E(x74391,f2(a880))+~E(x74392,f2(a1))+~P24(f333(f333(f251(a1),f2(a1)),f333(f333(f264(a1),f333(f76(a1),x74392)),x74391)))
% 163.24/162.97 [7855]~E(x78552,f118(f881(x78551)))+E(f333(f195(f881(f881(x78551))),f180(x78551,x78552)),f2(a880))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x78551),a880),f195(f881(x78551))),x78552)))
% 163.24/162.97 [8102]P24(f333(x81021,x81022))+~P24(f333(x81021,f333(a111,f716(x81021,x81022))))+~P24(f333(f333(f335(f890(f889(a880,a880),a874)),x81022),a103))
% 163.24/162.97 [8122]E(x81221,f118(f881(x81222)))+E(f333(f195(f881(x81222)),f333(f333(f166(f881(x81222)),x81221),f2(a880))),f333(f195(f881(f881(x81222))),f180(x81222,x81221)))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x81222),a880),f195(f881(x81222))),x81221)))
% 163.24/162.97 [8813]~P24(f333(f63(x88131),f333(f255(x88131),x88132)))+~P24(f333(f63(x88131),f258(f890(x88131,a874))))+P24(f333(f63(x88131),f333(f255(x88131),f333(f333(f10(a874,a874,x88131),a328),x88132))))
% 163.24/162.97 [8878]E(f333(f333(f263(a880,a880),f333(a117,f333(f333(f40(a880),f333(f333(f3(a880),x88781),x88782)),x88782))),f46(a880,f333(f333(f3(a880),x88781),x88782),x88782)),f86(f889(a880,a880),f49(x88781,x88782)))+~P24(f333(f333(f251(a880),f2(a880)),x88782))+~P24(f333(f333(f250(a880),x88782),x88781))
% 163.24/162.97 [9165]~P24(f333(f63(x91651),f333(f255(x91651),x91652)))+P24(f333(f63(x91651),f258(f890(x91651,a874))))+~P24(f333(f63(x91651),f333(f255(x91651),f333(f333(f10(a874,a874,x91651),a328),x91652))))
% 163.24/162.97 [9912]P22(x99121,x99122)+~P40(x99121,f333(f262(f890(f889(x99121,x99121),a874),f890(f889(x99121,x99121),a874)),x99122))+~P24(f333(f333(f250(f890(f889(x99121,x99121),a874)),f333(f333(f290(x99121,x99121,x99121),f333(f262(f890(f889(x99121,x99121),a874),f890(f889(x99121,x99121),a874)),x99122)),f333(f271(f890(f889(x99121,x99121),a874),f890(f889(x99121,x99121),a874)),x99122))),f333(f262(f890(f889(x99121,x99121),a874),f890(f889(x99121,x99121),a874)),x99122)))
% 163.24/162.97 [7232]~P24(f333(f333(f251(a880),f2(a880)),x72322))+P24(f333(f333(f251(a880),x72321),x72322))+E(f333(a117,f333(f333(f40(a880),f333(f333(f3(a880),x72321),x72322)),x72322)),f333(f333(f40(a880),x72321),x72322))
% 163.24/162.97 [7359]~P24(f333(f333(f251(a880),f2(a880)),x73592))+~P24(f333(f333(f250(a880),x73592),x73591))+E(f333(a117,f333(f333(f40(a880),f333(f333(f3(a880),x73591),x73592)),x73592)),f333(f333(f40(a880),x73591),x73592))
% 163.24/162.97 [8438]~P94(x84381)+~P93(x84381)+~P33(x84381,f333(f108(x84381),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x84382)),x84382)))
% 163.24/162.97 [9061]E(x90611,f2(a880))+E(f333(f333(f272(a880,a880,f889(a880,a880)),f333(f333(f10(a880,f890(a880,f889(a880,a880)),a880),f263(a880,a880)),a117)),f86(f889(a880,a880),f49(f333(f333(f3(a880),x90612),x90611),x90611))),f86(f889(a880,a880),f49(x90612,x90611)))+P24(f333(f333(f251(a880),x90612),x90611))
% 163.24/162.97 [9509]P24(f333(x95092,f803(x95092,x95091)))+P24(f333(x95091,f803(x95092,x95091)))+E(f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95091)),f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95092)))
% 163.24/162.97 [9513]~P24(f333(x95132,f803(x95132,x95131)))+~P24(f333(x95131,f803(x95132,x95131)))+E(f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95131)),f333(f255(a1),f333(f333(f20(a1,a874,a874),f333(f333(f10(a874,f890(a874,a874),a1),a331),f333(f250(a1),f2(a1)))),x95132)))
% 163.24/162.97 [7812]~P64(x78121)+~P94(x78121)+E(f333(f333(f291(x78121),x78122),f333(f108(x78121),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),x78122)
% 163.24/162.97 [9269]~P94(x92691)+~E(f333(f108(x92691),x92692),f79(x92691))+P33(x92691,f333(f108(x92691),f333(f333(f81(a1),x92692),f333(f80(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))))
% 163.24/162.97 [9489]~P94(x94891)+E(f333(f108(x94891),x94892),f79(x94891))+~P33(x94891,f333(f108(x94891),f333(f333(f81(a1),x94892),f333(f80(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))))
% 163.24/162.97 [9936]~P139(x99361)+~E(x99362,f79(x99361))+E(f333(f333(f264(x99361),x99362),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(x99361))
% 163.24/162.97 [9937]~P139(x99371)+~E(x99372,f2(x99371))+E(f333(f333(f264(x99371),x99372),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f2(x99371))
% 163.24/162.97 [9940]~P139(x99401)+~E(x99402,f333(f80(x99401),f79(x99401)))+E(f333(f333(f264(x99401),x99402),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(x99401))
% 163.24/162.97 [10075]~P120(x100752)+E(x100751,f2(x100752))+P24(f333(f333(f251(x100752),f2(x100752)),f333(f333(f264(x100752),x100751),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.24/162.97 [10113]~P120(x101132)+~E(x101131,f2(x101132))+~P24(f333(f333(f251(x101132),f2(x101132)),f333(f333(f264(x101132),x101131),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.24/162.97 [10125]P24(f333(f333(f250(a1),x101251),f2(a1)))+P24(f333(f333(f251(a1),x101252),x101251))+E(f333(f45(x101251),f48(x101252,f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101251))),f48(x101252,x101251))
% 163.24/162.97 [10126]~P24(f333(f333(f251(a1),f2(a1)),x101261))+P24(f333(f333(f251(a1),x101262),x101261))+E(f333(f45(x101261),f48(x101262,f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101261))),f48(x101262,x101261))
% 163.24/162.97 [10127]P24(f333(f333(f250(a1),x101271),f2(a1)))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),x101272),x101271)))+E(f333(f45(x101271),f51(x101272,f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101271))),f51(x101272,x101271))
% 163.24/162.97 [10128]~P24(f333(f333(f251(a1),f2(a1)),x101281))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),x101282),x101281)))+E(f333(f45(x101281),f51(x101282,f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101281))),f51(x101282,x101281))
% 163.24/162.97 [10129]~P143(x101291)+~P24(f333(f333(f250(a1),f2(a1)),x101292))+E(f333(f105(x101291),f333(a109,f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x101292))),f333(f333(f81(x101291),f333(f105(x101291),f333(a109,x101292))),f333(f105(x101291),f333(a109,x101292))))
% 163.24/162.97 [5065]~P146(x50651,x50653,x50652)+~E(x50653,f2(a1))+P24(f333(x50651,x50652))
% 163.24/162.97 [5185]~P109(x51851)+~P31(x51851,x51853)+P31(x51851,f171(x51851,x51852,x51853))
% 163.24/162.97 [5186]~P109(x51861)+~P31(x51861,x51863)+P31(x51861,f177(x51861,x51862,x51863))
% 163.24/162.97 [4772]~P75(x47722)+~E(x47723,f333(f80(x47722),x47721))+E(x47721,f333(f80(x47722),x47723))
% 163.24/162.97 [4774]~P75(x47741)+~E(f333(f80(x47741),x47743),x47742)+E(f333(f80(x47741),x47742),x47743)
% 163.24/162.97 [4848]~P79(x48483)+E(x48481,x48482)+~E(f333(f80(x48483),x48481),f333(f80(x48483),x48482))
% 163.24/162.97 [4849]~P75(x48493)+E(x48491,x48492)+~E(f333(f80(x48493),x48491),f333(f80(x48493),x48492))
% 163.24/162.97 [4850]~P103(x48503)+E(x48501,x48502)+~E(f333(f105(x48503),x48501),f333(f105(x48503),x48502))
% 163.24/162.97 [4851]~P93(x48513)+E(x48511,x48512)+~E(f333(f107(x48513),x48511),f333(f107(x48513),x48512))
% 163.24/162.97 [4852]~P109(x48523)+E(x48521,x48522)+~E(f333(f256(x48523),x48521),f333(f256(x48523),x48522))
% 163.24/162.97 [4853]~P109(x48533)+E(x48531,x48532)+~E(f333(f302(x48533),x48531),f333(f302(x48533),x48532))
% 163.24/162.97 [4854]~P109(x48543)+E(x48541,x48542)+~E(f333(f305(x48543),x48541),f333(f305(x48543),x48542))
% 163.24/162.97 [4855]~P109(x48553)+E(x48551,x48552)+~E(f333(f257(x48553),x48551),f333(f257(x48553),x48552))
% 163.24/162.97 [4952]~P62(x49521)+~P24(f333(x49522,x49523))+P24(f333(f59(x49521),x49522))
% 163.24/162.97 [4985]~P62(x49853)+P24(f333(x49851,x49852))+~P24(f333(f60(x49853),x49851))
% 163.24/162.97 [5083]~P147(x50831,x50832,x50833)+~E(x50832,f2(a1))+P24(f333(x50831,f2(a1)))
% 163.24/162.97 [5120]~E(x51201,f2(a880))+E(f739(x51201,x51202,x51203),f194(f890(x51203,a874)))+~E(f333(f39(x51203),x51202),f333(a117,x51201))
% 163.24/162.97 [5275]~E(x52752,f2(a880))+E(f333(f262(a880,a880),x52751),f2(a880))+~P24(f333(f49(x52753,x52752),x52751))
% 163.24/162.97 [5322]P24(f333(x53221,x53222))+~E(x53223,f333(f105(a1),x53222))+~P24(f333(x53221,f333(a109,x53223)))
% 163.24/162.97 [5790]~E(x57903,f2(a880))+~P24(f333(x57901,x57902))+P24(f333(x57901,f46(a880,x57902,x57903)))
% 163.24/162.97 [5921]~P24(f333(a25,x59213))+~P24(f333(a25,x59212))+P24(f333(a25,f31(x59211,x59212,x59213)))
% 163.24/162.97 [5952]~P62(x59523)+~P7(x59523,x59521,x59522)+P24(f333(x59521,f665(x59522,x59521,x59523)))
% 163.24/162.97 [6014]~P104(x60142)+~P104(x60141)+E(f133(x60141,x60142,f136(x60141,x60143),f136(x60142,x60143)),f136(f889(x60141,x60142),x60143))
% 163.24/162.97 [6195]~E(x61953,f2(a880))+P24(f333(x61951,x61952))+~P24(f333(x61951,f46(a880,x61952,x61953)))
% 163.24/162.97 [6340]~P62(x63401)+P8(x63401,x63402,x63403)+~P24(f333(x63402,f666(x63403,x63402,x63401)))
% 163.24/162.97 [6855]E(x68551,f2(a880))+~P24(f333(x68552,f410(x68551,x68553,x68552)))+P24(f333(x68552,f46(a880,x68553,x68551)))
% 163.24/162.97 [6962]~P29(x69621)+~P24(f333(f333(f250(x69621),x69622),f346(x69623,x69622,x69621)))+P24(f333(f333(f250(x69621),x69622),f42(x69621,x69623)))
% 163.24/162.97 [6964]~P24(f333(x69641,x69642))+~P24(f333(x69641,f410(x69643,x69642,x69641)))+P24(f333(x69641,f46(a880,x69642,x69643)))
% 163.24/162.97 [7068]E(x70681,f118(x70682))+E(f333(f333(f152(x70682),f626(x70683,x70681,x70682)),f642(x70683,x70681,x70682)),x70681)+~P24(f333(f333(f335(f881(x70682)),x70681),f162(x70682,x70683)))
% 163.24/162.97 [7098]~P140(x70981)+~P24(f333(f333(f335(x70981),x70982),f114(x70981)))+P24(f333(f333(f335(x70981),f333(f333(f264(x70981),x70982),x70983)),f114(x70981)))
% 163.24/162.97 [7408]P40(x74081,x74082)+~P24(f333(f333(f335(x74081),x74083),f785(x74082,x74081)))+P24(f333(f333(f335(x74081),f800(x74082,x74081,x74083)),f785(x74082,x74081)))
% 163.24/162.97 [7672]E(x76721,f118(x76722))+~P24(f333(f333(f335(f881(x76722)),x76721),f162(x76722,x76723)))+P24(f333(f333(f335(f881(x76722)),f642(x76723,x76721,x76722)),f162(x76722,x76723)))
% 163.24/162.97 [7724]E(x77241,f2(a880))+E(f333(f333(f81(a880),f333(f333(f82(a880),x77241),f411(x77241,x77242,x77243))),f410(x77241,x77242,x77243)),x77242)+P24(f333(x77243,f46(a880,x77242,x77241)))
% 163.24/162.97 [7770]~P24(f333(x77703,x77702))+E(f333(f333(f81(a880),f333(f333(f82(a880),x77701),f411(x77701,x77702,x77703))),f410(x77701,x77702,x77703)),x77702)+P24(f333(x77703,f46(a880,x77702,x77701)))
% 163.24/162.97 [7906]P24(f333(f333(f251(a1),x79061),f398(x79062,x79063,x79061)))+P24(f333(f333(x79063,f333(f333(f40(a1),x79062),x79061)),f46(a1,x79062,x79061)))+~P24(f333(f333(f251(a1),x79061),f2(a1)))
% 163.24/162.97 [8184]P24(f333(f333(x81842,f333(f333(f40(a1),x81841),x81843)),f46(a1,x81841,x81843)))+~P24(f333(f333(f251(a1),x81843),f2(a1)))+P24(f333(f333(f250(a1),f398(x81841,x81842,x81843)),f2(a1)))
% 163.24/162.97 [8360]E(f333(f333(f81(a1),f333(f333(f82(a1),x83601),f399(x83602,x83603,x83601))),f398(x83602,x83603,x83601)),x83602)+P24(f333(f333(x83603,f333(f333(f40(a1),x83602),x83601)),f46(a1,x83602,x83601)))+~P24(f333(f333(f251(a1),x83601),f2(a1)))
% 163.24/162.97 [8603]~P24(f333(f333(x86031,f399(x86032,x86031,x86033)),f398(x86032,x86031,x86033)))+P24(f333(f333(x86031,f333(f333(f40(a1),x86032),x86033)),f46(a1,x86032,x86033)))+~P24(f333(f333(f251(a1),x86033),f2(a1)))
% 163.24/162.97 [8824]~P109(x88241)+~P31(x88241,x88243)+P31(x88241,f150(x88241,x88241,f7(x88241),x88242,x88243))
% 163.24/162.97 [9328]~P124(x93282)+E(x93281,f2(x93282))+~P24(f333(f333(f250(x93282),f333(f333(f81(x93282),f333(f333(f82(x93282),x93283),x93283)),f333(f333(f82(x93282),x93281),x93281))),f2(x93282)))
% 163.24/162.97 [9329]~P124(x93292)+E(x93291,f2(x93292))+~P24(f333(f333(f250(x93292),f333(f333(f81(x93292),f333(f333(f82(x93292),x93291),x93291)),f333(f333(f82(x93292),x93293),x93293))),f2(x93292)))
% 163.24/162.97 [10211]~P120(x102111)+~P24(f333(f333(f251(x102111),x102112),f2(x102111)))+P24(f333(f333(f251(x102111),f333(f333(f264(x102111),x102112),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x102113)))),f2(x102111)))
% 163.24/162.97 [10214]~P120(x102142)+E(x102141,f2(x102142))+~P24(f333(f333(f250(x102142),f333(f333(f81(x102142),f333(f333(f264(x102142),x102143),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102142),x102141),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f2(x102142)))
% 163.24/162.97 [10215]~P120(x102152)+E(x102151,f2(x102152))+~P24(f333(f333(f250(x102152),f333(f333(f81(x102152),f333(f333(f264(x102152),x102151),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102152),x102153),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f2(x102152)))
% 163.24/162.97 [4804]~E(x48042,x48043)+~P68(x48041)+E(f333(f333(f3(x48041),x48042),x48043),f2(x48041))
% 163.24/162.97 [4805]~E(x48052,x48053)+~P75(x48051)+E(f333(f333(f3(x48051),x48052),x48053),f2(x48051))
% 163.24/162.97 [4818]~P137(x48181)+~E(x48183,f2(x48181))+E(f333(f333(f81(x48181),x48182),x48183),x48182)
% 163.24/162.97 [4835]~P141(x48351)+~E(x48353,f2(x48351))+E(f333(f333(f82(x48351),x48352),x48353),f2(x48351))
% 163.24/162.97 [4836]~P141(x48361)+~E(x48362,f2(x48361))+E(f333(f333(f82(x48361),x48362),x48363),f2(x48361))
% 163.24/162.97 [4857]~E(x48573,f118(x48571))+~E(x48572,f118(x48571))+E(f333(f333(f127(x48571),x48572),x48573),f118(x48571))
% 163.24/162.97 [4942]~P137(x49422)+E(x49421,f2(x49422))+~E(f333(f333(f81(x49422),x49423),x49421),x49423)
% 163.24/162.97 [4943]~P75(x49431)+~E(x49432,f333(f80(x49431),x49433))+E(f333(f333(f81(x49431),x49432),x49433),f2(x49431))
% 163.24/162.97 [4950]E(x49501,f118(x49502))+E(x49503,f2(a880))+~E(f333(f333(f174(x49502),x49503),x49501),f118(x49502))
% 163.24/162.97 [4956]~P68(x49563)+E(x49561,x49562)+~E(f333(f333(f3(x49563),x49561),x49562),f2(x49563))
% 163.24/162.97 [4957]~P75(x49573)+E(x49571,x49572)+~E(f333(f333(f3(x49573),x49571),x49572),f2(x49573))
% 163.24/162.97 [4966]~P139(x49662)+E(x49661,f2(x49662))+~E(f333(f333(f264(x49662),x49661),x49663),f2(x49662))
% 163.24/162.97 [4967]~P27(x49672)+E(x49671,f194(x49672))+~E(f333(f333(f115(x49672),x49673),x49671),f194(x49672))
% 163.24/162.97 [4968]~P27(x49682)+E(x49681,f194(x49682))+~E(f333(f333(f115(x49682),x49681),x49683),f194(x49682))
% 163.24/162.97 [4969]~P100(x49692)+E(x49691,f258(x49692))+~E(f333(f333(f106(x49692),x49693),x49691),f258(x49692))
% 163.24/162.97 [4970]~P100(x49702)+E(x49701,f258(x49702))+~E(f333(f333(f106(x49702),x49701),x49703),f258(x49702))
% 163.24/162.97 [5036]~P75(x50362)+E(x50361,f333(f80(x50362),x50363))+~E(f333(f333(f81(x50362),x50361),x50363),f2(x50362))
% 163.24/162.97 [5037]~P75(x50371)+E(f333(f80(x50371),x50372),x50373)+~E(f333(f333(f81(x50371),x50372),x50373),f2(x50371))
% 163.24/162.97 [5039]~E(x50392,x50393)+~P108(x50391)+P24(f333(f333(f250(x50391),x50392),x50393))
% 163.24/162.97 [5041]~E(x50412,x50413)+~P110(x50411)+P24(f333(f333(f250(x50411),x50412),x50413))
% 163.24/162.97 [5042]~E(x50422,x50423)+~P96(x50421)+P24(f333(f333(f92(x50421),x50422),x50423))
% 163.24/162.97 [5136]~P117(x51361)+~E(x51362,f333(f80(x51361),x51363))+E(f333(f333(f82(x51361),x51362),x51362),f333(f333(f82(x51361),x51363),x51363))
% 163.24/162.97 [5144]~P109(x51441)+~P31(x51441,x51443)+P31(x51441,f333(f333(f174(x51441),x51442),x51443))
% 163.24/162.97 [5145]~P109(x51451)+~P31(x51451,x51453)+P31(x51451,f333(f333(f139(x51451),x51452),x51453))
% 163.24/162.97 [5183]E(x51831,x51832)+E(x51833,f2(a880))+~E(f333(f333(f82(a880),x51833),x51831),f333(f333(f82(a880),x51833),x51832))
% 163.24/162.97 [5184]E(x51841,x51842)+E(x51843,f2(a880))+~E(f333(f333(f82(a880),x51841),x51843),f333(f333(f82(a880),x51842),x51843))
% 163.24/162.97 [5266]~E(x52662,x52663)+~P110(x52661)+E(f304(x52661,x52662,x52663),f333(f333(f311(x52661),x52662),f194(f890(x52661,a874))))
% 163.24/162.97 [5310]E(x53101,x53102)+~P96(x53103)+~P24(f333(f333(f92(x53103),x53101),x53102))
% 163.24/162.97 [5320]~E(x53201,x53202)+~P109(x53203)+~P24(f333(f333(f251(x53203),x53201),x53202))
% 163.24/162.97 [5321]~E(x53211,x53212)+~P110(x53213)+~P24(f333(f333(f251(x53213),x53211),x53212))
% 163.24/162.97 [5331]~P110(x53311)+E(f333(f303(x53311,x53312),x53313),f194(f890(x53311,a874)))+P24(f333(f333(f251(x53311),x53312),x53313))
% 163.24/162.97 [5377]~P110(x53771)+E(f306(x53771,x53772,x53773),f194(f890(x53771,a874)))+P24(f333(f333(f251(x53771),x53772),x53773))
% 163.24/162.97 [5378]~P110(x53781)+E(f304(x53781,x53782,x53783),f194(f890(x53781,a874)))+P24(f333(f333(f250(x53781),x53782),x53783))
% 163.24/162.97 [5379]~P110(x53791)+E(f194(f890(x53791,a874)),f306(x53791,x53792,x53793))+P24(f333(f333(f251(x53791),x53792),x53793))
% 163.24/162.97 [5380]~P110(x53801)+E(f194(f890(x53801,a874)),f304(x53801,x53802,x53803))+P24(f333(f333(f250(x53801),x53802),x53803))
% 163.24/162.97 [5388]~P101(x53881)+~E(f333(f333(f115(x53881),x53882),x53883),x53883)+P24(f333(f333(f250(x53881),x53882),x53883))
% 163.24/162.97 [5389]~P102(x53891)+~E(f333(f333(f106(x53891),x53892),x53893),x53892)+P24(f333(f333(f250(x53891),x53892),x53893))
% 163.24/162.97 [5390]~P109(x53901)+~E(f333(f333(f248(x53901),x53902),x53903),x53902)+P24(f333(f333(f250(x53901),x53902),x53903))
% 163.24/162.97 [5391]~P109(x53911)+~E(f333(f333(f249(x53911),x53912),x53913),x53913)+P24(f333(f333(f250(x53911),x53912),x53913))
% 163.24/162.97 [5411]~P109(x54111)+P31(x54111,x54112)+~P31(x54111,f333(f333(f152(x54111),x54113),x54112))
% 163.24/162.97 [5412]~P109(x54121)+P31(x54121,x54122)+~P31(x54121,f333(f333(f127(x54121),x54123),x54122))
% 163.24/162.97 [5413]~P109(x54131)+P31(x54131,x54132)+~P31(x54131,f333(f333(f127(x54131),x54132),x54133))
% 163.24/162.97 [5481]~P109(x54811)+P24(f333(f333(f250(x54811),x54813),x54812))+P24(f333(f333(f251(x54811),x54812),x54813))
% 163.24/162.97 [5483]~P109(x54831)+P24(f333(f333(f250(x54831),x54833),x54832))+P24(f333(f333(f250(x54831),x54832),x54833))
% 163.24/162.97 [5519]~P101(x55191)+E(f333(f333(f115(x55191),x55192),x55193),x55192)+~P24(f333(f333(f250(x55191),x55193),x55192))
% 163.24/162.97 [5521]~P101(x55211)+E(f333(f333(f115(x55211),x55212),x55213),x55213)+~P24(f333(f333(f250(x55211),x55212),x55213))
% 163.24/162.97 [5522]~P102(x55221)+E(f333(f333(f106(x55221),x55222),x55223),x55223)+~P24(f333(f333(f250(x55221),x55223),x55222))
% 163.24/162.97 [5524]~P102(x55241)+E(f333(f333(f106(x55241),x55242),x55243),x55242)+~P24(f333(f333(f250(x55241),x55242),x55243))
% 163.24/162.97 [5525]~P109(x55251)+E(f333(f333(f248(x55251),x55252),x55253),x55253)+~P24(f333(f333(f250(x55251),x55253),x55252))
% 163.24/162.97 [5527]~P109(x55271)+E(f333(f333(f248(x55271),x55272),x55273),x55272)+~P24(f333(f333(f250(x55271),x55272),x55273))
% 163.24/162.97 [5528]~P109(x55281)+E(f333(f333(f249(x55281),x55282),x55283),x55282)+~P24(f333(f333(f250(x55281),x55283),x55282))
% 163.24/162.97 [5530]~P109(x55301)+E(f333(f333(f249(x55301),x55302),x55303),x55303)+~P24(f333(f333(f250(x55301),x55302),x55303))
% 163.24/162.97 [5537]~P118(x55372)+E(x55371,f2(x55372))+E(f333(f333(f291(x55372),f333(f80(x55372),x55373)),f333(f80(x55372),x55371)),f333(f333(f291(x55372),x55373),x55371))
% 163.24/162.97 [5582]~P110(x55821)+E(f333(f303(x55821,x55822),x55823),f194(f890(x55821,a874)))+~P24(f333(f333(f250(x55821),x55823),x55822))
% 163.24/162.97 [5615]~P110(x56151)+E(f307(x56151,x56152,x56153),f194(f890(x56151,a874)))+~P24(f333(f333(f250(x56151),x56153),x56152))
% 163.24/162.97 [5616]~P110(x56161)+E(f306(x56161,x56162,x56163),f194(f890(x56161,a874)))+~P24(f333(f333(f250(x56161),x56163),x56162))
% 163.24/162.97 [5617]~P110(x56171)+E(f304(x56171,x56172,x56173),f194(f890(x56171,a874)))+~P24(f333(f333(f251(x56171),x56173),x56172))
% 163.24/162.97 [5668]~E(f333(f333(f3(a880),x56681),x56683),x56682)+E(x56681,f333(f333(f81(a880),x56682),x56683))+~P24(f333(f333(f250(a880),x56683),x56681))
% 163.24/162.97 [5669]~E(x56691,f333(f333(f81(a880),x56693),x56692))+E(f333(f333(f3(a880),x56691),x56692),x56693)+~P24(f333(f333(f250(a880),x56692),x56691))
% 163.24/162.97 [5715]~P24(f333(x57151,x57153))+P24(f333(x57151,f413(x57151,x57152)))+~P24(f333(f333(f250(a880),x57153),x57152))
% 163.24/162.97 [5716]~P24(f333(x57161,x57163))+P24(f333(x57161,f423(x57161,x57162)))+~P24(f333(f333(f251(a880),x57163),x57162))
% 163.24/162.97 [5724]~P110(x57241)+~E(f333(f303(x57241,x57242),x57243),f194(f890(x57241,a874)))+~P24(f333(f333(f251(x57241),x57242),x57243))
% 163.24/162.97 [5728]~P108(x57281)+~P24(f333(f333(f251(x57281),x57282),x57283))+P24(f333(f333(f250(x57281),x57282),x57283))
% 163.24/162.97 [5730]~P110(x57301)+~P24(f333(f333(f251(x57301),x57302),x57303))+P24(f333(f333(f250(x57301),x57302),x57303))
% 163.24/162.97 [5838]~P110(x58381)+~E(f306(x58381,x58382,x58383),f194(f890(x58381,a874)))+~P24(f333(f333(f251(x58381),x58382),x58383))
% 163.24/162.97 [5839]~P110(x58391)+~E(f304(x58391,x58392,x58393),f194(f890(x58391,a874)))+~P24(f333(f333(f250(x58391),x58392),x58393))
% 163.24/162.97 [5840]~P110(x58401)+~E(f194(f890(x58401,a874)),f306(x58401,x58402,x58403))+~P24(f333(f333(f251(x58401),x58402),x58403))
% 163.24/162.97 [5841]~P110(x58411)+~E(f194(f890(x58411,a874)),f304(x58411,x58412,x58413))+~P24(f333(f333(f250(x58411),x58412),x58413))
% 163.24/162.97 [5849]P24(f333(x58491,x58492))+~P24(f333(x58491,f414(x58491,x58493)))+~P24(f333(f333(f250(a880),x58492),x58493))
% 163.24/162.97 [5850]P24(f333(x58501,x58502))+~P24(f333(x58501,f424(x58501,x58503)))+~P24(f333(f333(f251(a880),x58502),x58503))
% 163.24/162.97 [5858]~E(x58581,f333(a117,x58583))+P24(f333(f333(f251(a880),x58581),f333(a117,x58582)))+~P24(f333(f333(f251(a880),x58583),x58582))
% 163.24/162.97 [5874]E(x58741,x58742)+~E(f333(f333(f82(a880),x58743),x58741),f333(f333(f82(a880),x58743),x58742))+~P24(f333(f333(f251(a880),f2(a880)),x58743))
% 163.24/162.97 [5932]E(f333(x59321,f859(x59321,x59322,x59323)),f79(a880))+~E(f333(f333(f8(x59323,a880),x59321),x59322),f79(a880))+~P24(f333(f63(x59323),x59322))
% 163.24/162.97 [5943]~P29(x59431)+P24(f333(f333(f250(x59431),x59432),f41(x59431,x59433)))+~P24(f333(f333(f335(x59431),x59432),x59433))
% 163.24/162.97 [5973]~P108(x59731)+~P24(f333(f333(f251(x59731),x59733),x59732))+~P24(f333(f333(f251(x59731),x59732),x59733))
% 163.24/162.97 [5974]~P108(x59741)+~P24(f333(f333(f250(x59741),x59743),x59742))+~P24(f333(f333(f251(x59741),x59742),x59743))
% 163.24/162.97 [5975]~P109(x59751)+~P24(f333(f333(f251(x59751),x59753),x59752))+~P24(f333(f333(f251(x59751),x59752),x59753))
% 163.24/162.97 [5978]~P109(x59781)+~P24(f333(f333(f250(x59781),x59783),x59782))+~P24(f333(f333(f251(x59781),x59782),x59783))
% 163.24/162.97 [5979]~P110(x59791)+~P24(f333(f333(f251(x59791),x59793),x59792))+~P24(f333(f333(f251(x59791),x59792),x59793))
% 163.24/162.97 [6008]~E(f333(x60082,f860(x60082,x60083,x60081)),f2(a880))+E(f333(f333(f8(x60081,a880),x60082),x60083),f2(a880))+~P24(f333(f63(x60081),x60083))
% 163.24/162.97 [6009]~E(f333(x60092,f832(x60092,x60093,x60091)),f79(a880))+E(f333(f333(f11(x60091,a880),x60092),x60093),f79(a880))+~P24(f333(f63(x60091),x60093))
% 163.24/162.97 [6023]~P111(x60231)+~P24(f333(f333(f251(x60231),x60233),x60232))+P24(f333(f333(f335(x60231),x60232),f333(f305(x60231),x60233)))
% 163.24/162.97 [6024]~P111(x60241)+~P24(f333(f333(f250(x60241),x60243),x60242))+P24(f333(f333(f335(x60241),x60242),f333(f257(x60241),x60243)))
% 163.24/162.97 [6025]~P111(x60251)+~P24(f333(f333(f251(x60251),x60252),x60253))+P24(f333(f333(f335(x60251),x60252),f333(f256(x60251),x60253)))
% 163.24/162.97 [6026]~P111(x60261)+~P24(f333(f333(f250(x60261),x60262),x60263))+P24(f333(f333(f335(x60261),x60262),f333(f302(x60261),x60263)))
% 163.24/162.97 [6038]E(f333(x60381,f861(x60381,x60382,x60383)),f333(a117,f2(a880)))+~E(f333(f333(f8(x60383,a880),x60381),x60382),f333(a117,f2(a880)))+~P24(f333(f63(x60383),x60382))
% 163.24/162.97 [6121]~P29(x61211)+~P24(f333(f333(f335(x61211),x61213),x61212))+P24(f333(f333(f250(x61211),f42(x61211,x61212)),x61213))
% 163.24/162.97 [6138]~P24(f333(f333(f250(a880),x61381),x61383))+P24(f333(f333(f250(a880),x61381),x61382))+~P24(f333(f333(f250(a880),x61383),x61382))
% 163.24/162.97 [6139]~P24(f333(f333(f250(a1),x61391),x61393))+P24(f333(f333(f250(a1),x61391),x61392))+~P24(f333(f333(f250(a1),x61393),x61392))
% 163.24/162.97 [6158]~P111(x61581)+~P24(f333(f333(f335(x61581),x61583),f333(f305(x61581),x61582)))+P24(f333(f333(f251(x61581),x61582),x61583))
% 163.24/162.97 [6159]~P111(x61591)+~P24(f333(f333(f335(x61591),x61592),f333(f256(x61591),x61593)))+P24(f333(f333(f251(x61591),x61592),x61593))
% 163.24/162.97 [6160]~P111(x61601)+~P24(f333(f333(f335(x61601),x61603),f333(f257(x61601),x61602)))+P24(f333(f333(f250(x61601),x61602),x61603))
% 163.24/162.97 [6161]~P111(x61611)+~P24(f333(f333(f335(x61611),x61612),f333(f302(x61611),x61613)))+P24(f333(f333(f250(x61611),x61612),x61613))
% 163.24/162.97 [6278]P24(f333(x62781,x62782))+~P24(f333(x62781,f599(x62781)))+~P24(f333(f333(f335(x62783),x62782),f258(f890(x62783,a874))))
% 163.24/162.97 [6376]~P65(x63761)+P24(f333(f333(f251(x63761),f2(x63761)),f364(x63763,x63762,x63761)))+P24(f333(f333(f250(x63761),x63762),x63763))
% 163.24/162.97 [6377]~P66(x63771)+P24(f333(f333(f251(x63771),f2(x63771)),f451(x63773,x63772,x63771)))+P24(f333(f333(f250(x63771),x63772),x63773))
% 163.24/162.97 [6444]~P81(x64441)+~P24(f333(f333(f251(x64441),x64443),f333(f80(x64441),x64442)))+P24(f333(f333(f251(x64441),x64442),f333(f80(x64441),x64443)))
% 163.24/162.97 [6446]~P81(x64461)+~P24(f333(f333(f250(x64461),x64463),f333(f80(x64461),x64462)))+P24(f333(f333(f250(x64461),x64462),f333(f80(x64461),x64463)))
% 163.24/162.97 [6458]~P24(f333(f333(f251(a880),x64581),x64583))+~P24(f333(f333(f251(a880),x64583),x64582))+P24(f333(f333(f251(a880),f333(a117,x64581)),x64582))
% 163.24/162.97 [6484]~P120(x64841)+P24(f333(f333(f251(x64841),f333(f107(x64841),x64842)),f333(f107(x64841),x64843)))+~P24(f333(f333(f251(a1),x64842),x64843))
% 163.24/162.97 [6485]~P123(x64851)+P24(f333(f333(f251(x64851),f333(f105(x64851),x64852)),f333(f105(x64851),x64853)))+~P24(f333(f333(f251(a880),x64852),x64853))
% 163.24/162.97 [6486]~P123(x64861)+P24(f333(f333(f250(x64861),f333(f105(x64861),x64862)),f333(f105(x64861),x64863)))+~P24(f333(f333(f250(a880),x64862),x64863))
% 163.24/162.97 [6487]~P120(x64871)+P24(f333(f333(f250(x64871),f333(f107(x64871),x64872)),f333(f107(x64871),x64873)))+~P24(f333(f333(f250(a1),x64872),x64873))
% 163.24/162.97 [6493]~P109(x64931)+E(f333(f333(f115(f890(x64931,a874)),f333(f256(x64931),x64932)),f333(f303(x64931,x64932),x64933)),f333(f256(x64931),x64933))+~P24(f333(f333(f250(x64931),x64932),x64933))
% 163.24/162.97 [6517]~P81(x65171)+~P24(f333(f333(f251(x65171),x65173),x65172))+P24(f333(f333(f251(x65171),f333(f80(x65171),x65172)),f333(f80(x65171),x65173)))
% 163.24/162.97 [6519]~P79(x65191)+~P24(f333(f333(f250(x65191),x65193),x65192))+P24(f333(f333(f250(x65191),f333(f80(x65191),x65192)),f333(f80(x65191),x65193)))
% 163.24/162.97 [6521]~P81(x65211)+~P24(f333(f333(f250(x65211),x65213),x65212))+P24(f333(f333(f250(x65211),f333(f80(x65211),x65212)),f333(f80(x65211),x65213)))
% 163.24/162.97 [6555]~P109(x65551)+E(f333(f333(f115(f890(x65551,a874)),f333(f256(x65551),x65552)),f304(x65551,x65552,x65553)),f333(f302(x65551),x65553))+~P24(f333(f333(f250(x65551),x65552),x65553))
% 163.24/162.97 [6556]~P109(x65561)+E(f333(f333(f115(f890(x65561,a874)),f333(f302(x65561),x65562)),f307(x65561,x65562,x65563)),f333(f256(x65561),x65563))+~P24(f333(f333(f251(x65561),x65562),x65563))
% 163.24/162.97 [6557]~P109(x65571)+E(f333(f333(f115(f890(x65571,a874)),f333(f302(x65571),x65572)),f306(x65571,x65572,x65573)),f333(f302(x65571),x65573))+~P24(f333(f333(f250(x65571),x65572),x65573))
% 163.24/162.97 [6592]~P109(x65921)+E(f333(f333(f115(f890(x65921,a874)),f333(f303(x65921,x65922),x65923)),f333(f257(x65921),x65923)),f333(f257(x65921),x65922))+~P24(f333(f333(f250(x65921),x65922),x65923))
% 163.24/162.97 [6747]~P109(x67471)+E(f333(f333(f115(f890(x67471,a874)),f307(x67471,x67472,x67473)),f333(f257(x67471),x67473)),f333(f305(x67471),x67472))+~P24(f333(f333(f251(x67471),x67472),x67473))
% 163.24/162.97 [6748]~P109(x67481)+E(f333(f333(f115(f890(x67481,a874)),f306(x67481,x67482,x67483)),f333(f305(x67481),x67483)),f333(f305(x67481),x67482))+~P24(f333(f333(f250(x67481),x67482),x67483))
% 163.24/162.97 [6749]~P109(x67491)+E(f333(f333(f115(f890(x67491,a874)),f304(x67491,x67492,x67493)),f333(f305(x67491),x67493)),f333(f257(x67491),x67492))+~P24(f333(f333(f250(x67491),x67492),x67493))
% 163.24/162.97 [6761]P24(f333(x67611,x67612))+~P24(f333(f333(f250(a880),x67612),x67613))+P24(f333(f333(f335(a880),f414(x67611,x67613)),f304(a880,f2(a880),x67613)))
% 163.24/162.97 [6795]E(x67951,x67952)+~E(f333(f333(f166(x67953),x67951),f575(x67953,x67952,x67951)),f333(f333(f166(x67953),x67952),f575(x67953,x67952,x67951)))+~E(f333(f195(f881(x67953)),x67951),f333(f195(f881(x67953)),x67952))
% 163.24/162.97 [6800]~E(x68003,f333(f333(f40(a880),x68001),x68002))+~P24(f333(f333(f251(a880),f2(a880)),x68002))+P24(f333(f333(f251(a880),x68001),f333(f333(f82(a880),x68002),f333(a117,x68003))))
% 163.24/162.97 [6815]~P24(f333(x68151,x68153))+~P24(f333(f333(f250(a880),x68153),x68152))+P24(f333(f333(f335(a880),f413(x68151,x68152)),f304(a880,f2(a880),x68152)))
% 163.24/162.97 [6852]~P24(f333(x68521,x68523))+P24(f333(x68521,f426(x68521,x68522)))+~P24(f333(f333(f335(a880),x68523),f304(a880,f2(a880),x68522)))
% 163.24/162.97 [6872]~P123(x68723)+~P24(f333(f333(f251(x68723),f333(f105(x68723),x68721)),f333(f105(x68723),x68722)))+P24(f333(f333(f251(a880),x68721),x68722))
% 163.24/162.97 [6873]~P120(x68733)+~P24(f333(f333(f251(x68733),f333(f107(x68733),x68731)),f333(f107(x68733),x68732)))+P24(f333(f333(f251(a1),x68731),x68732))
% 163.24/162.97 [6874]~P123(x68743)+~P24(f333(f333(f250(x68743),f333(f105(x68743),x68741)),f333(f105(x68743),x68742)))+P24(f333(f333(f250(a880),x68741),x68742))
% 163.24/162.97 [6875]~P120(x68753)+~P24(f333(f333(f250(x68753),f333(f107(x68753),x68751)),f333(f107(x68753),x68752)))+P24(f333(f333(f250(a1),x68751),x68752))
% 163.24/162.97 [6889]~P123(x68891)+~P24(f333(f333(f251(x68891),f79(x68891)),x68892))+P24(f333(f333(f251(x68891),f79(x68891)),f333(f333(f264(x68891),x68892),f333(a117,x68893))))
% 163.24/162.97 [6891]~P81(x68911)+~P24(f333(f333(f251(x68911),f333(f80(x68911),x68913)),f333(f80(x68911),x68912)))+P24(f333(f333(f251(x68911),x68912),x68913))
% 163.24/162.97 [6892]~P79(x68921)+~P24(f333(f333(f250(x68921),f333(f80(x68921),x68923)),f333(f80(x68921),x68922)))+P24(f333(f333(f250(x68921),x68922),x68923))
% 163.24/162.97 [6893]~P81(x68931)+~P24(f333(f333(f250(x68931),f333(f80(x68931),x68933)),f333(f80(x68931),x68932)))+P24(f333(f333(f250(x68931),x68932),x68933))
% 163.24/162.97 [6920]P24(f333(x69201,x69202))+~P24(f333(x69201,f415(x69201,x69203)))+~P24(f333(f333(f335(a880),x69202),f304(a880,f2(a880),x69203)))
% 163.24/162.97 [6939]~P65(x69391)+P24(f333(f333(f251(x69391),f364(x69393,x69392,x69391)),f79(x69391)))+P24(f333(f333(f250(x69391),x69392),x69393))
% 163.24/162.97 [6959]~E(f46(a880,x69593,x69592),f46(a880,x69591,x69592))+E(f333(f333(f81(a880),x69591),f333(f333(f82(a880),x69592),f453(x69591,x69592,x69593))),x69593)+~P24(f333(f333(f250(a880),x69591),x69593))
% 163.24/162.97 [6978]E(f333(x69781,f824(x69781,x69782,x69783)),f197(x69782))+~P24(f333(f63(x69783),f184(x69783,x69782,x69781)))+P24(f333(f63(x69783),f258(f890(x69783,a874))))
% 163.24/162.97 [7019]E(f333(f333(f8(x70191,a880),x70192),x70193),f2(a880))+~P24(f333(f63(x70191),x70193))+P24(f333(f333(f335(x70191),f860(x70192,x70193,x70191)),x70193))
% 163.24/162.97 [7020]E(f333(f333(f11(x70201,a880),x70202),x70203),f79(a880))+~P24(f333(f63(x70201),x70203))+P24(f333(f333(f335(x70201),f832(x70202,x70203,x70201)),x70203))
% 163.24/162.97 [7042]~P109(x70421)+~P24(f333(f333(f251(x70421),x70422),x70423))+P24(f333(f333(f251(f890(x70421,a874)),f333(f256(x70421),x70422)),f333(f256(x70421),x70423)))
% 163.24/162.97 [7043]~P109(x70431)+~P24(f333(f333(f250(x70431),x70432),x70433))+P24(f333(f333(f250(f890(x70431,a874)),f333(f256(x70431),x70432)),f333(f256(x70431),x70433)))
% 163.24/162.97 [7044]~P110(x70441)+~P24(f333(f333(f250(x70441),x70442),x70443))+P24(f333(f333(f250(f890(x70441,a874)),f333(f302(x70441),x70442)),f333(f302(x70441),x70443)))
% 163.24/162.97 [7045]~P109(x70451)+~P24(f333(f333(f250(x70451),x70453),x70452))+P24(f333(f333(f250(f890(x70451,a874)),f333(f305(x70451),x70452)),f333(f305(x70451),x70453)))
% 163.24/162.97 [7046]~P110(x70461)+~P24(f333(f333(f250(x70461),x70463),x70462))+P24(f333(f333(f250(f890(x70461,a874)),f333(f257(x70461),x70462)),f333(f257(x70461),x70463)))
% 163.24/162.97 [7054]~P29(x70541)+P24(f333(f333(f250(x70541),x70542),f42(x70541,x70543)))+P24(f333(f333(f335(x70541),f346(x70543,x70542,x70541)),x70543))
% 163.24/162.97 [7060]~P81(x70601)+P24(f333(f333(f251(x70601),f333(f333(f3(x70601),x70602),x70603)),f2(x70601)))+~P24(f333(f333(f251(x70601),x70602),x70603))
% 163.24/162.97 [7061]~P81(x70611)+P24(f333(f333(f250(x70611),f333(f333(f3(x70611),x70612),x70613)),f2(x70611)))+~P24(f333(f333(f250(x70611),x70612),x70613))
% 163.24/162.97 [7102]P24(f333(x71021,x71022))+P24(f333(f333(f250(a880),f415(x71021,x71023)),x71023))+~P24(f333(f333(f335(a880),x71022),f304(a880,f2(a880),x71023)))
% 163.24/162.97 [7142]~E(f333(f333(f8(x71421,a880),x71422),x71423),f79(a880))+~P24(f333(f63(x71421),x71423))+P24(f333(f333(f335(x71421),f859(x71422,x71423,x71421)),x71423))
% 163.24/162.97 [7143]~P24(f333(x71431,x71433))+P24(f333(f333(f250(a880),f426(x71431,x71432)),x71432))+~P24(f333(f333(f335(a880),x71433),f304(a880,f2(a880),x71432)))
% 163.24/162.97 [7183]~P29(x71831)+P24(f333(f333(f335(x71831),f347(x71833,x71832,x71831)),x71832))+P24(f333(f333(f250(x71831),f41(x71831,x71832)),x71833))
% 163.24/162.97 [7214]~E(f333(f333(f8(x72141,a880),x72142),x72143),f333(a117,f2(a880)))+~P24(f333(f63(x72141),x72143))+P24(f333(f333(f335(x72141),f861(x72142,x72143,x72141)),x72143))
% 163.24/162.97 [7225]E(x72251,f2(a880))+P24(f333(x72252,f46(a880,x72253,x72251)))+P24(f333(f333(f251(a880),f410(x72251,x72253,x72252)),x72251))
% 163.24/162.97 [7321]~P24(f333(x73211,x73212))+P24(f333(x73211,f46(a880,x73212,x73213)))+P24(f333(f333(f251(a880),f410(x73213,x73212,x73211)),x73213))
% 163.24/162.97 [7443]E(x74431,f118(x74432))+~P24(f333(f333(f335(f881(x74432)),x74431),f162(x74432,x74433)))+P24(f333(f333(f335(x74432),f626(x74433,x74431,x74432)),x74433))
% 163.24/162.97 [7465]~P109(x74651)+E(f333(f333(f115(f890(x74651,a874)),f333(f333(f311(x74651),x74652),f194(f890(x74651,a874)))),f307(x74651,x74652,x74653)),f333(f303(x74651,x74652),x74653))+~P24(f333(f333(f251(x74651),x74652),x74653))
% 163.24/162.97 [7488]~P109(x74881)+E(f333(f333(f115(f890(x74881,a874)),f333(f333(f311(x74881),x74882),f194(f890(x74881,a874)))),f306(x74881,x74882,x74883)),f304(x74881,x74882,x74883))+~P24(f333(f333(f250(x74881),x74882),x74883))
% 163.24/162.97 [7591]~P109(x75911)+P24(f333(f333(f251(x75911),x75912),x75913))+~P24(f333(f333(f251(f890(x75911,a874)),f333(f256(x75911),x75912)),f333(f256(x75911),x75913)))
% 163.24/162.97 [7592]~P109(x75921)+P24(f333(f333(f250(x75921),x75922),x75923))+~P24(f333(f333(f250(f890(x75921,a874)),f333(f305(x75921),x75923)),f333(f305(x75921),x75922)))
% 163.24/162.97 [7593]~P110(x75931)+P24(f333(f333(f250(x75931),x75932),x75933))+~P24(f333(f333(f250(f890(x75931,a874)),f333(f257(x75931),x75933)),f333(f257(x75931),x75932)))
% 163.24/162.97 [7594]~P109(x75941)+P24(f333(f333(f250(x75941),x75942),x75943))+~P24(f333(f333(f250(f890(x75941,a874)),f333(f256(x75941),x75942)),f333(f256(x75941),x75943)))
% 163.24/162.97 [7595]~P110(x75951)+P24(f333(f333(f250(x75951),x75952),x75953))+~P24(f333(f333(f250(f890(x75951,a874)),f333(f302(x75951),x75952)),f333(f302(x75951),x75953)))
% 163.24/162.97 [7618]~P81(x76181)+~P24(f333(f333(f251(x76181),f333(f333(f3(x76181),x76182),x76183)),f2(x76181)))+P24(f333(f333(f251(x76181),x76182),x76183))
% 163.24/162.97 [7619]~P81(x76191)+~P24(f333(f333(f250(x76191),f333(f333(f3(x76191),x76192),x76193)),f2(x76191)))+P24(f333(f333(f250(x76191),x76192),x76193))
% 163.24/162.97 [7777]E(x77771,f2(a880))+~E(f333(f143(a880,a880,f81(a880),x77772),x77773),f2(a880))+~P24(f333(f333(f335(a880),x77771),f333(f173(a880),x77773)))
% 163.24/162.97 [7781]~P29(x77811)+~P24(f333(f333(f250(x77811),f347(x77813,x77812,x77811)),x77813))+P24(f333(f333(f250(x77811),f41(x77811,x77812)),x77813))
% 163.24/162.97 [7928]P24(f333(f333(f250(a1),f2(a1)),f401(x79281,x79282,x79283)))+P24(f333(f333(x79282,f333(f333(f40(a1),x79281),x79283)),f46(a1,x79281,x79283)))+~P24(f333(f333(f251(a1),f2(a1)),x79283))
% 163.24/162.97 [8020]E(x80201,x80202)+~E(f333(f195(f881(x80203)),x80201),f333(f195(f881(x80203)),x80202))+~P24(f333(f333(f272(x80203,x80203,a874),a330),f602(x80203,x80201,x80202)))
% 163.24/162.97 [8093]~P40(x80932,x80933)+E(x80931,f194(f890(x80932,a874)))+~P24(f333(f333(f250(f890(x80932,a874)),x80931),f333(f287(x80932,x80932,x80933),x80931)))
% 163.24/162.97 [8124]~P66(x81241)+~P24(f333(f333(f250(x81241),x81242),f333(f333(f81(x81241),x81243),f451(x81243,x81242,x81241))))+P24(f333(f333(f250(x81241),x81242),x81243))
% 163.24/162.97 [8165]P50(x81651,x81652,x81653)+P24(f333(f333(f335(x81651),f616(x81653,x81652,x81651)),x81652))+P24(f333(f333(f335(f889(x81651,x81651)),f617(x81653,x81652,x81651)),x81653))
% 163.24/162.97 [8188]P24(f333(f333(x81882,f333(f333(f40(a1),x81881),x81883)),f46(a1,x81881,x81883)))+~P24(f333(f333(f251(a1),f2(a1)),x81883))+P24(f333(f333(f251(a1),f401(x81881,x81882,x81883)),x81883))
% 163.24/162.97 [8211]E(f333(f312(a880,a880,f333(f333(f9(a880,a880,a880),f3(a880)),x82111)),f333(f303(a880,x82112),x82113)),f194(f890(a880,a874)))+P24(f333(f333(f251(a880),x82111),x82113))+P24(f333(f333(f251(a880),x82112),x82113))
% 163.24/162.97 [8316]E(f333(f312(a880,a880,f333(f333(f9(a880,a880,a880),f3(a880)),x83161)),f333(f303(a880,x83162),x83163)),f333(f333(f311(a880),f2(a880)),f194(f890(a880,a874))))+P24(f333(f333(f251(a880),x83161),x83163))+~P24(f333(f333(f251(a880),x83162),x83163))
% 163.24/162.97 [8330]~P109(x83301)+E(f150(x83301,x83301,f7(x83301),x83302,x83303),x83303)+~P24(f333(f333(f335(x83301),x83302),f333(f173(x83301),x83303)))
% 163.24/162.97 [8344]P21(x83441,x83441,x83442,x83443)+~P24(f333(f63(x83441),x83443))+~P24(f333(f333(f250(f890(x83441,a874)),x83443),f333(f312(x83441,x83441,x83442),x83443)))
% 163.24/162.97 [8368]E(f333(f333(f81(a1),f333(f333(f82(a1),x83681),f402(x83682,x83683,x83681))),f401(x83682,x83683,x83681)),x83682)+P24(f333(f333(x83683,f333(f333(f40(a1),x83682),x83681)),f46(a1,x83682,x83681)))+~P24(f333(f333(f251(a1),f2(a1)),x83681))
% 163.24/162.97 [8609]~P24(f333(f333(x86091,f402(x86092,x86091,x86093)),f401(x86092,x86091,x86093)))+P24(f333(f333(x86091,f333(f333(f40(a1),x86092),x86093)),f46(a1,x86092,x86093)))+~P24(f333(f333(f251(a1),f2(a1)),x86093))
% 163.24/162.97 [9462]~P24(f333(f63(x94621),x94622))+~P24(f333(f333(f335(x94621),x94623),x94622))+P24(f333(f333(f251(a880),f333(f39(x94621),f333(f333(f3(f890(x94621,a874)),x94622),f333(f333(f311(x94621),x94623),f194(f890(x94621,a874)))))),f333(f39(x94621),x94622)))
% 163.24/162.97 [10071]P50(x100711,x100712,x100713)+~P24(f333(f333(f272(x100711,x100711,a874),f333(f333(f9(x100711,f890(x100711,a874),f890(x100711,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x100711,a874),f890(x100711,a874)),x100711),f10(a874,a874,x100711)),f333(f333(f10(a874,f890(a874,a874),x100711),a331),f333(f333(f9(x100711,f890(x100711,a874),a874),f335(x100711)),x100712)))),f333(f333(f9(x100711,f890(x100711,a874),a874),f335(x100711)),x100712))),f617(x100713,x100712,x100711)))+P24(f333(f333(f335(x100711),f616(x100713,x100712,x100711)),x100712))
% 163.24/162.97 [5500]~P118(x55002)+E(x55001,f2(x55002))+E(f333(f333(f291(x55002),x55003),f333(f80(x55002),x55001)),f333(f80(x55002),f333(f333(f291(x55002),x55003),x55001)))
% 163.24/162.97 [5631]~E(x56313,f194(f890(x56311,a874)))+~E(x56312,f194(f890(x56311,a874)))+E(f333(f333(f115(f890(x56311,a874)),x56312),x56313),f194(f890(x56311,a874)))
% 163.24/162.97 [5689]~E(x56893,f2(a880))+~P24(f333(x56891,f2(a880)))+P24(f333(x56891,f333(f333(f40(a880),x56892),x56893)))
% 163.24/162.97 [5830]~P66(x58302)+E(x58301,f2(x58302))+E(f333(f333(f291(x58302),f333(f76(x58302),x58303)),f333(f76(x58302),x58301)),f333(f76(x58302),f333(f333(f291(x58302),x58303),x58301)))
% 163.24/162.97 [5997]~P24(f333(f63(x59971),x59973))+E(f333(f39(x59971),f333(f333(f311(x59971),x59972),x59973)),f333(a117,f333(f39(x59971),x59973)))+P24(f333(f333(f335(x59971),x59972),x59973))
% 163.24/162.97 [6070]~E(x60702,f2(a880))+P24(f333(x60701,f2(a880)))+~P24(f333(x60701,f333(f333(f40(a880),x60703),x60702)))
% 163.24/162.97 [6089]~P24(f333(f63(x60891),x60893))+E(f333(f39(x60891),f333(f333(f311(x60891),x60892),x60893)),f333(f39(x60891),x60893))+~P24(f333(f333(f335(x60891),x60892),x60893))
% 163.24/162.97 [6123]~P24(f333(f63(x61231),x61233))+E(f333(f39(x61231),f333(f333(f311(x61231),x61232),x61233)),f333(f333(f81(a880),f79(a880)),f333(f39(x61231),x61233)))+P24(f333(f333(f335(x61231),x61232),x61233))
% 163.24/162.97 [6240]E(f333(f333(f81(a880),x62401),f862(x62401,x62402,x62403)),x62402)+~P24(f333(x62403,f2(a880)))+P24(f333(x62403,f333(f333(f3(a880),x62402),x62401)))
% 163.24/162.97 [6241]E(f333(f333(f81(a880),x62411),f863(x62411,x62412,x62413)),x62412)+~P24(f333(x62413,f2(a880)))+P24(f333(x62413,f333(f333(f3(a880),x62412),x62411)))
% 163.24/162.97 [6288]~P29(x62881)+~P24(f333(f63(x62881),x62883))+E(f333(f333(f66(x62881,x62881,f115(x62881)),x62882),x62883),f333(f333(f115(x62881),x62882),f41(x62881,x62883)))
% 163.24/162.97 [6289]~P29(x62891)+~P24(f333(f63(x62891),x62893))+E(f333(f333(f66(x62891,x62891,f106(x62891)),x62892),x62893),f333(f333(f106(x62891),x62892),f42(x62891,x62893)))
% 163.24/162.97 [6295]~P94(x62951)+~E(f333(f108(x62951),x62952),f333(f108(x62951),x62953))+P33(x62951,f333(f108(x62951),f333(f333(f81(a1),x62952),f333(f80(a1),x62953))))
% 163.24/162.97 [6301]~P140(x63011)+E(f333(f333(f3(x63011),f333(f105(x63011),x63012)),f333(f105(x63011),x63013)),f333(f105(x63011),f333(f333(f3(a880),x63012),x63013)))+~P24(f333(f333(f250(a880),x63013),x63012))
% 163.24/162.97 [6387]E(f333(f333(f81(a880),x63871),f862(x63871,x63872,x63873)),x63872)+P24(f333(f333(f251(a880),x63872),x63871))+P24(f333(x63873,f333(f333(f3(a880),x63872),x63871)))
% 163.24/162.97 [6388]E(f333(f333(f81(a880),x63881),f863(x63881,x63882,x63883)),x63882)+P24(f333(f333(f251(a880),x63882),x63881))+P24(f333(x63883,f333(f333(f3(a880),x63882),x63881)))
% 163.24/162.97 [6403]~P120(x64031)+E(f333(f333(f82(x64031),f333(f76(x64031),x64032)),x64033),f333(f76(x64031),f333(f333(f82(x64031),x64032),x64033)))+~P24(f333(f333(f250(x64031),f2(x64031)),x64033))
% 163.24/162.97 [6404]~P65(x64041)+E(f333(f333(f291(x64041),f333(f76(x64041),x64042)),x64043),f333(f76(x64041),f333(f333(f291(x64041),x64042),x64043)))+~P24(f333(f333(f251(x64041),f2(x64041)),x64043))
% 163.24/162.97 [6412]~P26(x64121)+~P24(f333(f63(x64121),x64123))+E(f333(f333(f66(x64121,x64121,f115(x64121)),x64122),x64123),f12(x64121,f333(f333(f311(x64121),x64122),x64123)))
% 163.24/162.97 [6413]~P26(x64131)+~P24(f333(f63(x64131),x64133))+E(f333(f333(f66(x64131,x64131,f106(x64131)),x64132),x64133),f13(x64131,f333(f333(f311(x64131),x64132),x64133)))
% 163.24/162.97 [6414]~P109(x64141)+~P24(f333(f63(x64141),x64143))+E(f333(f333(f66(x64141,x64141,f248(x64141)),x64142),x64143),f16(x64141,f333(f333(f311(x64141),x64142),x64143)))
% 163.24/162.97 [6415]~P109(x64151)+~P24(f333(f63(x64151),x64153))+E(f333(f333(f66(x64151,x64151,f249(x64151)),x64152),x64153),f17(x64151,f333(f333(f311(x64151),x64152),x64153)))
% 163.24/162.97 [6460]E(x64601,f118(x64602))+~E(f180(x64602,x64603),f118(f881(x64602)))+~P24(f333(f333(f335(f881(x64602)),x64601),f333(f173(f881(x64602)),x64603)))
% 163.24/162.97 [6501]~P24(f333(f138(x65011),x65013))+P24(f333(f333(f335(x65011),x65012),f333(f173(x65011),x65013)))+P24(f333(f138(x65011),f333(f333(f152(x65011),x65012),x65013)))
% 163.24/162.97 [6512]~P97(x65121)+~P24(f333(f63(x65121),x65123))+E(f333(f65(x65121,f82(x65121)),f333(f333(f311(x65121),x65122),x65123)),f333(f333(f66(x65121,x65121,f82(x65121)),x65122),x65123))
% 163.24/162.97 [6531]~P109(x65311)+~P24(f333(f63(x65311),x65313))+E(f14(x65311,f248(x65311),f333(f333(f311(x65311),x65312),x65313)),f333(f333(f66(x65311,x65311,f248(x65311)),x65312),x65313))
% 163.24/162.97 [6532]~P109(x65321)+~P24(f333(f63(x65321),x65323))+E(f15(x65321,f249(x65321),f333(f333(f311(x65321),x65322),x65323)),f333(f333(f66(x65321,x65321,f249(x65321)),x65322),x65323))
% 163.24/162.97 [6534]P24(f333(x65341,f2(a880)))+~P24(f333(f333(f251(a880),x65342),x65343))+~P24(f333(x65341,f333(f333(f3(a880),x65342),x65343)))
% 163.24/162.97 [6552]~P120(x65521)+P24(f333(f333(f251(x65521),x65522),x65523))+~P24(f333(f333(f251(x65521),f333(f76(x65521),x65522)),x65523))
% 163.24/162.97 [6554]~P87(x65541)+P24(f333(f333(f250(x65541),x65542),x65543))+~P24(f333(f333(f250(x65541),f333(f76(x65541),x65542)),x65543))
% 163.24/162.97 [6571]E(x65711,f118(x65712))+E(f333(f142(x65712),f333(f333(f139(x65712),x65713),x65711)),f333(f333(f166(x65712),x65711),x65713))+~P24(f333(f333(f251(a880),x65713),f333(f195(f881(x65712)),x65711)))
% 163.24/162.97 [6623]~P24(f333(x66231,x66233))+P24(f333(x66231,f427(x66231,x66232)))+~P24(f333(f333(f335(a880),x66233),f333(f303(a880,f2(a880)),x66232)))
% 163.24/162.97 [6645]P24(f333(x66451,x66452))+~P24(f333(f333(f251(a880),x66452),x66453))+P24(f333(f333(f335(a880),f424(x66451,x66453)),f333(f303(a880,f2(a880)),x66453)))
% 163.24/162.97 [6661]~P123(x66611)+~P24(f333(f333(f251(x66611),f2(x66611)),x66612))+P24(f333(f333(f251(x66611),f2(x66611)),f333(f333(f264(x66611),x66612),x66613)))
% 163.24/162.97 [6662]~P123(x66621)+~P24(f333(f333(f250(x66621),f79(x66621)),x66622))+P24(f333(f333(f250(x66621),f79(x66621)),f333(f333(f264(x66621),x66622),x66623)))
% 163.24/162.97 [6664]~P123(x66641)+~P24(f333(f333(f250(x66641),f2(x66641)),x66642))+P24(f333(f333(f250(x66641),f2(x66641)),f333(f333(f264(x66641),x66642),x66643)))
% 163.24/162.97 [6688]~P24(f333(x66881,x66883))+~P24(f333(f333(f251(a880),x66883),x66882))+P24(f333(f333(f335(a880),f423(x66881,x66882)),f333(f303(a880,f2(a880)),x66882)))
% 163.24/162.97 [6695]P24(f333(f63(x66951),x66952))+~P24(f333(f63(x66951),x66953))+~P24(f333(f333(f250(f890(x66951,a874)),x66952),x66953))
% 163.24/162.97 [6703]P24(f333(x67031,x67032))+~P24(f333(x67031,f425(x67031,x67033)))+~P24(f333(f333(f335(a880),x67032),f333(f303(a880,f2(a880)),x67033)))
% 163.24/162.97 [6714]E(x67141,f2(a880))+P24(f333(x67142,f409(x67141,x67143,x67142)))+~P24(f333(x67142,f333(f333(f40(a880),x67143),x67141)))
% 163.24/162.97 [6722]~P124(x67222)+E(x67221,f2(x67222))+~E(f333(f333(f81(x67222),f333(f333(f82(x67222),x67223),x67223)),f333(f333(f82(x67222),x67221),x67221)),f2(x67222))
% 163.24/162.97 [6723]~P124(x67232)+E(x67231,f2(x67232))+~E(f333(f333(f81(x67232),f333(f333(f82(x67232),x67231),x67231)),f333(f333(f82(x67232),x67233),x67233)),f2(x67232))
% 163.24/162.97 [6762]E(x67621,f2(a880))+~P24(f333(x67622,f406(x67621,x67623,x67622)))+P24(f333(x67622,f333(f333(f40(a880),x67623),x67621)))
% 163.24/162.97 [6767]~P109(x67671)+~P31(x67671,x67673)+P31(x67671,f333(f333(f149(x67671,x67671,f7(x67671)),x67672),x67673))
% 163.24/162.97 [6809]P24(f333(x68091,f409(x68092,x68093,x68091)))+P24(f333(x68091,f2(a880)))+~P24(f333(x68091,f333(f333(f40(a880),x68093),x68092)))
% 163.24/162.97 [6814]~P94(x68141)+E(f333(f108(x68141),x68142),f333(f108(x68141),x68143))+~P33(x68141,f333(f108(x68141),f333(f333(f81(a1),x68142),f333(f80(a1),x68143))))
% 163.24/162.97 [6878]E(x68781,f2(a1))+E(x68782,f2(a1))+~P24(f333(f50(x68782,x68782),f333(f333(f263(a1,a1),x68783),x68781)))
% 163.24/162.97 [6879]E(x68791,f79(a1))+E(x68792,f2(a1))+~P24(f333(f50(x68792,x68792),f333(f333(f263(a1,a1),x68791),x68793)))
% 163.24/162.97 [6890]P24(f333(x68901,x68902))+P24(f333(f333(f251(a880),f425(x68901,x68903)),x68903))+~P24(f333(f333(f335(a880),x68902),f333(f303(a880,f2(a880)),x68903)))
% 163.24/162.97 [6915]~P24(f333(x69151,f862(x69153,x69152,x69151)))+~P24(f333(x69151,f2(a880)))+P24(f333(x69151,f333(f333(f3(a880),x69152),x69153)))
% 163.24/162.97 [6916]~P24(f333(x69161,f863(x69163,x69162,x69161)))+~P24(f333(x69161,f2(a880)))+P24(f333(x69161,f333(f333(f3(a880),x69162),x69163)))
% 163.24/162.97 [6917]~P24(f333(x69171,f406(x69173,x69172,x69171)))+~P24(f333(x69171,f2(a880)))+P24(f333(x69171,f333(f333(f40(a880),x69172),x69173)))
% 163.24/162.97 [6935]~P24(f333(x69351,x69353))+P24(f333(f333(f251(a880),f427(x69351,x69352)),x69352))+~P24(f333(f333(f335(a880),x69353),f333(f303(a880,f2(a880)),x69352)))
% 163.24/162.97 [6936]E(f333(f333(f3(a880),f333(f333(f3(a880),x69361),x69362)),f333(f333(f3(a880),x69363),x69362)),f333(f333(f3(a880),x69361),x69363))+~P24(f333(f333(f250(a880),x69362),x69361))+~P24(f333(f333(f250(a880),x69362),x69363))
% 163.24/162.97 [6972]~P81(x69721)+~P24(f333(f333(f251(x69721),f333(f80(x69721),x69723)),x69722))+P24(f333(f333(f251(x69721),f333(f80(x69721),x69722)),x69723))
% 163.24/162.97 [6973]~P120(x69731)+~P24(f333(f333(f251(x69731),f333(f76(x69731),x69732)),x69733))+P24(f333(f333(f251(x69731),f333(f80(x69731),x69732)),x69733))
% 163.24/162.97 [6975]~P81(x69751)+~P24(f333(f333(f250(x69751),f333(f80(x69751),x69753)),x69752))+P24(f333(f333(f250(x69751),f333(f80(x69751),x69752)),x69753))
% 163.24/162.97 [6977]~P87(x69771)+~P24(f333(f333(f250(x69771),f333(f76(x69771),x69772)),x69773))+P24(f333(f333(f250(x69771),f333(f80(x69771),x69772)),x69773))
% 163.24/162.97 [7013]~P24(f333(x70133,f862(x70132,x70131,x70133)))+P24(f333(f333(f251(a880),x70131),x70132))+P24(f333(x70133,f333(f333(f3(a880),x70131),x70132)))
% 163.24/162.97 [7014]~P24(f333(x70143,f863(x70142,x70141,x70143)))+P24(f333(f333(f251(a880),x70141),x70142))+P24(f333(x70143,f333(f333(f3(a880),x70141),x70142)))
% 163.24/162.97 [7064]~E(f701(x70643,x70642,x70641),f683(x70643,x70642,x70641))+E(f333(f333(f106(f890(x70641,a874)),x70642),f41(f890(x70641,a874),x70643)),f194(f890(x70641,a874)))+P24(f333(f333(f335(f890(x70641,a874)),x70642),x70643))
% 163.24/162.97 [7072]~P24(f333(f63(x70721),x70723))+P24(f333(f63(x70721),f42(f890(x70721,a874),x70722)))+~P24(f333(f333(f335(f890(x70721,a874)),x70723),x70722))
% 163.24/162.97 [7131]~P109(x71311)+E(f333(f333(f115(f890(x71311,a874)),f333(f303(x71311,x71312),x71313)),f333(f333(f311(x71311),x71313),f194(f890(x71311,a874)))),f304(x71311,x71312,x71313))+~P24(f333(f333(f250(x71311),x71312),x71313))
% 163.24/162.97 [7132]E(x71321,f2(a880))+P24(f333(f333(f251(a880),f407(x71321,x71323,x71322)),x71321))+P24(f333(x71322,f333(f333(f40(a880),x71323),x71321)))
% 163.24/162.97 [7167]E(x71671,x71672)+~P24(f333(f333(f250(f890(x71673,a874)),x71671),x71672))+P24(f333(f333(f251(f890(x71673,a874)),x71671),x71672))
% 163.24/162.97 [7180]E(x71801,x71802)+~E(f333(f195(f881(x71803)),x71801),f333(f195(f881(x71803)),x71802))+P24(f333(f333(f251(a880),f575(x71803,x71801,x71802)),f333(f195(f881(x71803)),x71802)))
% 163.24/162.97 [7226]P6(x72261,x72262,x72263)+~E(f333(f261(x72261,x72261),x72263),x72262)+~E(f333(f333(f290(x72261,x72261,x72261),f333(f288(x72261,x72261),x72263)),x72263),x72263)
% 163.24/162.97 [7296]~P24(f333(x72961,f2(a880)))+P24(f333(f333(f251(a880),f407(x72963,x72962,x72961)),x72963))+P24(f333(x72961,f333(f333(f40(a880),x72962),x72963)))
% 163.24/162.97 [7305]~P109(x73051)+E(f333(f333(f115(f890(x73051,a874)),f307(x73051,x73052,x73053)),f333(f333(f311(x73051),x73053),f194(f890(x73051,a874)))),f306(x73051,x73052,x73053))+~P24(f333(f333(f251(x73051),x73052),x73053))
% 163.24/162.97 [7397]~P24(f333(f63(x73971),x73973))+P24(f333(f333(f251(a880),f333(f39(x73971),x73972)),f333(f39(x73971),x73973)))+~P24(f333(f333(f251(f890(x73971,a874)),x73972),x73973))
% 163.24/162.97 [7398]~P24(f333(f63(x73981),x73983))+P24(f333(f333(f250(a880),f333(f39(x73981),x73982)),f333(f39(x73981),x73983)))+~P24(f333(f333(f250(f890(x73981,a874)),x73982),x73983))
% 163.24/162.97 [7436]~P24(f333(x74363,x74362))+P24(f333(f333(f201(x74361),x74362),f485(x74362,x74361,x74363)))+~P24(f333(f333(f201(f33(x74363,x74361)),x74362),x74362))
% 163.24/162.97 [7532]E(x75321,x75322)+~P24(f333(f333(f250(f890(x75323,a874)),x75322),x75321))+~P24(f333(f333(f250(f890(x75323,a874)),x75321),x75322))
% 163.24/162.97 [7535]~P109(x75351)+P31(x75351,x75352)+~P31(x75351,f333(f333(f149(x75351,x75351,f7(x75351)),x75353),x75352))
% 163.24/162.97 [7598]~P24(f333(f333(f251(a880),x75983),x75982))+~P24(f333(f333(f251(a880),x75983),x75981))+P24(f333(f333(f251(a880),f333(f333(f3(a880),x75981),x75982)),f333(f333(f3(a880),x75981),x75983)))
% 163.24/162.97 [7599]~P24(f333(f333(f251(a880),x75991),x75993))+~P24(f333(f333(f250(a880),x75992),x75991))+P24(f333(f333(f251(a880),f333(f333(f3(a880),x75991),x75992)),f333(f333(f3(a880),x75993),x75992)))
% 163.24/162.97 [7616]~P24(f333(f333(f251(a1),x76162),f2(a1)))+~P24(f333(f333(f250(a1),x76163),x76161))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x76161),x76162)),f333(f333(f40(a1),x76163),x76162)))
% 163.24/162.97 [7636]~P24(f333(f333(f251(a880),f2(a880)),x76362))+~P24(f333(f333(f251(a880),x76361),x76363))+P24(f333(f333(f251(a880),f333(f333(f82(a880),x76361),x76362)),f333(f333(f82(a880),x76363),x76362)))
% 163.24/162.97 [7637]~P24(f333(f333(f251(a880),f2(a880)),x76371))+~P24(f333(f333(f251(a880),x76372),x76373))+P24(f333(f333(f251(a880),f333(f333(f82(a880),x76371),x76372)),f333(f333(f82(a880),x76371),x76373)))
% 163.24/162.97 [7638]~P24(f333(f333(f251(a1),f2(a1)),x76381))+~P24(f333(f333(f251(a1),x76382),x76383))+P24(f333(f333(f251(a1),f333(f333(f82(a1),x76381),x76382)),f333(f333(f82(a1),x76381),x76383)))
% 163.24/162.97 [7640]~P24(f333(f333(f251(a880),f2(a880)),x76403))+~P24(f333(f333(f250(a880),x76403),x76402))+P24(f333(f333(f250(a880),f333(f333(f40(a880),x76401),x76402)),f333(f333(f40(a880),x76401),x76403)))
% 163.24/162.97 [7641]~P24(f333(f333(f251(a1),f2(a1)),x76412))+~P24(f333(f333(f250(a1),x76411),x76413))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x76411),x76412)),f333(f333(f40(a1),x76413),x76412)))
% 163.24/162.97 [7689]E(x76891,f2(a880))+E(f333(f333(f81(a880),f333(f333(f82(a880),x76891),f406(x76891,x76892,x76893))),f407(x76891,x76892,x76893)),x76892)+P24(f333(x76893,f333(f333(f40(a880),x76892),x76891)))
% 163.24/162.97 [7749]E(f333(f333(f81(a880),f333(f333(f82(a880),x77491),f406(x77491,x77492,x77493))),f407(x77491,x77492,x77493)),x77492)+~P24(f333(x77493,f2(a880)))+P24(f333(x77493,f333(f333(f40(a880),x77492),x77491)))
% 163.24/162.97 [7768]~P24(f333(f63(x77681),x77683))+P24(f333(f333(f335(x77681),f868(x77682,x77683,x77681)),x77683))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f11(x77681,a880),x77682),x77683)))
% 163.24/162.97 [7769]~P24(f333(f63(x77691),x77693))+P24(f333(f333(f335(x77691),f348(x77692,x77693,x77691)),x77693))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f11(x77691,a880),x77692),x77693)))
% 163.24/162.97 [8059]E(x80591,f194(f890(x80592,a874)))+E(x80591,f333(f333(f311(x80592),x80593),f194(f890(x80592,a874))))+~P24(f333(f333(f250(f890(x80592,a874)),x80591),f333(f333(f311(x80592),x80593),f194(f890(x80592,a874)))))
% 163.24/162.97 [8075]~P62(x80751)+P8(x80751,x80752,x80753)+P24(f333(f333(f335(f881(x80751)),f666(x80753,x80752,x80751)),f333(f173(f881(x80751)),f56(x80751,x80753,f57(x80751)))))
% 163.24/162.97 [8095]~P24(f333(f333(f251(a880),f2(a880)),x80953))+P24(f333(f333(f251(a880),x80951),x80952))+~P24(f333(f333(f251(a880),f333(f333(f264(a880),x80953),x80951)),f333(f333(f264(a880),x80953),x80952)))
% 163.24/162.97 [8097]~P24(f333(f333(f251(a880),f2(a880)),x80973))+P24(f333(f333(f250(a880),x80971),x80972))+~P24(f333(f333(f250(a880),f333(f333(f82(a880),x80973),x80971)),f333(f333(f82(a880),x80973),x80972)))
% 163.24/162.97 [8098]~P24(f333(f333(f251(a880),f2(a880)),x80983))+P24(f333(f333(f250(a880),x80981),x80982))+~P24(f333(f333(f250(a880),f333(f333(f82(a880),x80981),x80983)),f333(f333(f82(a880),x80982),x80983)))
% 163.24/162.97 [8126]~P62(x81261)+~P7(x81261,x81263,x81262)+P24(f333(f333(f335(f881(x81261)),f665(x81262,x81263,x81261)),f333(f173(f881(x81261)),f56(x81261,x81262,f57(x81261)))))
% 163.24/162.97 [8134]~P24(f333(x81341,x81343))+P24(f333(f333(f201(f33(x81341,x81342)),f485(x81343,x81342,x81341)),x81343))+~P24(f333(f333(f201(f33(x81341,x81342)),x81343),x81343))
% 163.24/162.97 [8143]~E(f333(f333(f106(f890(x81431,a874)),f683(x81433,x81432,x81431)),f701(x81433,x81432,x81431)),f194(f890(x81431,a874)))+E(f333(f333(f106(f890(x81431,a874)),x81432),f41(f890(x81431,a874),x81433)),f194(f890(x81431,a874)))+P24(f333(f333(f335(f890(x81431,a874)),x81432),x81433))
% 163.24/162.97 [8160]E(x81601,f118(x81602))+~E(f333(f143(f881(x81602),f881(x81602),f127(x81602),f118(x81602)),x81603),f118(x81602))+~P24(f333(f333(f335(f881(x81602)),x81601),f333(f173(f881(x81602)),x81603)))
% 163.24/162.97 [8216]E(x82161,f194(f890(f890(x82162,a874),a874)))+P24(f333(f333(f335(f890(x82162,a874)),f368(x82163,x82161,x82162)),x82161))+P24(f333(f333(f250(f890(x82162,a874)),f42(f890(x82162,a874),x82161)),x82163))
% 163.24/162.97 [8222]~P69(x82221)+~P76(x82221)+E(f333(f333(f8(a1,x82221),f333(f333(f10(a880,x82221,a1),x82222),a109)),f333(f312(a880,a1,f105(a1)),x82223)),f333(f333(f8(a880,x82221),x82222),x82223))
% 163.24/162.97 [8223]~P69(x82231)+~P76(x82231)+E(f333(f333(f11(a1,x82231),f333(f333(f10(a880,x82231,a1),x82232),a109)),f333(f312(a880,a1,f105(a1)),x82233)),f333(f333(f11(a880,x82231),x82232),x82233))
% 163.24/162.97 [8262]~P24(f333(f63(x82621),x82623))+~P24(f333(f333(f251(a880),f2(a880)),f333(x82622,f868(x82622,x82623,x82621))))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f11(x82621,a880),x82622),x82623)))
% 163.24/162.97 [8263]~P24(f333(f63(x82631),x82633))+~P24(f333(f333(f251(a880),f2(a880)),f333(x82632,f348(x82632,x82633,x82631))))+P24(f333(f333(f251(a880),f2(a880)),f333(f333(f11(x82631,a880),x82632),x82633)))
% 163.24/162.97 [8298]~P64(x82982)+E(x82981,f79(x82982))+E(f333(f333(f291(x82982),f333(f333(f3(x82982),f333(f333(f264(x82982),x82981),x82983)),f79(x82982))),f333(f333(f3(x82982),x82981),f79(x82982))),f333(f333(f8(a880,x82982),f333(f264(x82982),x82981)),f333(f303(a880,f2(a880)),x82983)))
% 163.24/162.97 [8353]E(x83531,f2(a880))+~P24(f333(x83533,f333(f333(f40(a880),x83532),x83531)))+P24(f333(f333(f251(a880),x83532),f333(f333(f82(a880),x83531),f333(a117,f409(x83531,x83532,x83533)))))
% 163.24/162.97 [8373]P24(f333(x83731,f2(a880)))+~P24(f333(x83731,f333(f333(f40(a880),x83732),x83733)))+P24(f333(f333(f251(a880),x83732),f333(f333(f82(a880),x83733),f333(a117,f409(x83733,x83732,x83731)))))
% 163.24/162.97 [8411]E(x84111,f2(a880))+~P24(f333(x84113,f333(f333(f40(a880),x84112),x84111)))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x84111),f409(x84111,x84112,x84113))),x84112))
% 163.24/162.97 [8453]P24(f333(x84531,f2(a880)))+~P24(f333(x84531,f333(f333(f40(a880),x84533),x84532)))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x84532),f409(x84532,x84533,x84531))),x84533))
% 163.24/162.97 [8456]~P109(x84561)+E(f333(f333(f149(x84561,x84561,f7(x84561)),x84562),x84563),f150(x84561,x84561,f7(x84561),x84562,x84563))+P24(f333(f333(f335(x84561),x84562),f333(f173(x84561),x84563)))
% 163.24/162.97 [8492]~E(f333(x84923,f727(x84922,x84923,x84921)),f333(x84923,f729(x84922,x84923,x84921)))+~P59(x84921,f333(x84923,f728(x84922,x84923,x84921)))+P59(x84921,f333(f333(f44(x84922,f890(x84921,f890(x84921,a874))),f258(f890(x84922,a874))),x84923))
% 163.24/162.97 [8500]E(x85001,f194(f890(f890(x85002,a874),a874)))+~P24(f333(f333(f250(f890(x85002,a874)),f368(x85003,x85001,x85002)),x85003))+P24(f333(f333(f250(f890(x85002,a874)),f42(f890(x85002,a874),x85001)),x85003))
% 163.24/162.97 [8562]~P66(x85621)+~P24(f333(f333(f251(x85621),x85622),x85623))+P24(f333(f333(f251(x85621),x85622),f333(f333(f291(x85621),f333(f333(f81(x85621),x85622),x85623)),f333(f333(f81(x85621),f79(x85621)),f79(x85621)))))
% 163.24/162.97 [8617]~P24(f333(f333(x86171,f505(x86171,x86173,x86172)),f506(x86171,x86173,x86172)))+P24(f333(f333(x86171,x86172),x86173))+~P24(f333(f321(f889(a1,a1),a53),f333(f333(f263(a1,a1),x86172),x86173)))
% 163.24/162.97 [8618]~P24(f333(f333(x86181,f507(x86181,x86183,x86182)),f508(x86181,x86183,x86182)))+P24(f333(f333(x86181,x86182),x86183))+~P24(f333(f321(f889(a1,a1),a58),f333(f333(f263(a1,a1),x86182),x86183)))
% 163.24/162.97 [8619]~P24(f333(f333(x86191,f510(x86191,x86193,x86192)),f513(x86191,x86193,x86192)))+P24(f333(f333(x86191,x86192),x86193))+~P24(f333(f321(f889(a1,a1),a231),f333(f333(f263(a1,a1),x86192),x86193)))
% 163.24/162.97 [8620]~P24(f333(f333(x86201,f514(x86201,x86203,x86202)),f516(x86201,x86203,x86202)))+P24(f333(f333(x86201,x86202),x86203))+~P24(f333(f321(f889(a880,a880),a229),f333(f333(f263(a880,a880),x86202),x86203)))
% 163.24/162.97 [8621]~P24(f333(f333(x86211,f586(x86211,x86213,x86212)),f588(x86211,x86213,x86212)))+P24(f333(f333(x86211,x86212),x86213))+~P24(f333(f321(f889(a1,a1),a183),f333(f333(f263(a1,a1),x86212),x86213)))
% 163.24/162.97 [8868]P24(f333(f333(x88681,x88682),x88683))+P24(f333(f321(f889(a880,a880),a229),f333(f333(f263(a880,a880),f514(x88681,x88683,x88682)),f516(x88681,x88683,x88682))))+~P24(f333(f321(f889(a880,a880),a229),f333(f333(f263(a880,a880),x88682),x88683)))
% 163.24/162.97 [8869]P24(f333(f333(x88691,x88692),x88693))+P24(f333(f321(f889(a1,a1),a53),f333(f333(f263(a1,a1),f505(x88691,x88693,x88692)),f506(x88691,x88693,x88692))))+~P24(f333(f321(f889(a1,a1),a53),f333(f333(f263(a1,a1),x88692),x88693)))
% 163.24/162.97 [8870]P24(f333(f333(x88701,x88702),x88703))+P24(f333(f321(f889(a1,a1),a58),f333(f333(f263(a1,a1),f507(x88701,x88703,x88702)),f508(x88701,x88703,x88702))))+~P24(f333(f321(f889(a1,a1),a58),f333(f333(f263(a1,a1),x88702),x88703)))
% 163.24/162.97 [8871]P24(f333(f333(x88711,x88712),x88713))+P24(f333(f321(f889(a1,a1),a231),f333(f333(f263(a1,a1),f510(x88711,x88713,x88712)),f513(x88711,x88713,x88712))))+~P24(f333(f321(f889(a1,a1),a231),f333(f333(f263(a1,a1),x88712),x88713)))
% 163.24/162.97 [8872]P24(f333(f333(x88721,x88722),x88723))+P24(f333(f321(f889(a1,a1),a183),f333(f333(f263(a1,a1),f586(x88721,x88723,x88722)),f588(x88721,x88723,x88722))))+~P24(f333(f321(f889(a1,a1),a183),f333(f333(f263(a1,a1),x88722),x88723)))
% 163.24/162.97 [9210]~P24(f333(f63(x92101),x92103))+P24(f333(f333(f335(f889(f890(x92101,a874),f890(x92101,a874))),f333(f333(f263(f890(x92101,a874),f890(x92101,a874)),x92102),x92103)),f308(x92101)))+~P24(f333(f333(f251(f890(x92101,a874)),x92102),x92103))
% 163.24/162.97 [9289]~P59(x92891,f333(x92893,f728(x92892,x92893,x92891)))+P59(x92891,f333(f333(f44(x92892,f890(x92891,f890(x92891,a874))),f258(f890(x92892,a874))),x92893))+~E(f333(f333(f106(f890(x92891,a874)),f268(x92891,x92891,f333(x92893,f727(x92892,x92893,x92891)))),f269(x92891,x92891,f333(x92893,f729(x92892,x92893,x92891)))),f194(f890(x92891,a874)))
% 163.24/162.97 [9360]~P23(a876,f194(f890(f879(a876),a874)),f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),x93601),x93602),x93603)),f194(f890(f879(a876),a874))))+~P20(a876,f194(f890(f879(a876),a874)),f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),x93602),f201(x93602))),f194(f890(f879(a876),a874))))+P20(a876,f194(f890(f879(a876),a874)),f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),x93601),x93602),x93603)),f194(f890(f879(a876),a874))))
% 163.24/162.97 [9480]P50(x94801,x94802,x94803)+P24(f333(f333(f335(f889(x94801,x94801)),f617(x94803,x94802,x94801)),x94803))+~P24(f333(f333(f335(f889(x94801,x94801)),f333(f333(f263(x94801,x94801),f616(x94803,x94802,x94801)),f616(x94803,x94802,x94801))),x94803))
% 163.24/162.97 [10081]P50(x100811,x100812,x100813)+~P24(f333(f333(f272(x100811,x100811,a874),f333(f333(f9(x100811,f890(x100811,a874),f890(x100811,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x100811,a874),f890(x100811,a874)),x100811),f10(a874,a874,x100811)),f333(f333(f10(a874,f890(a874,a874),x100811),a331),f333(f333(f9(x100811,f890(x100811,a874),a874),f335(x100811)),x100812)))),f333(f333(f9(x100811,f890(x100811,a874),a874),f335(x100811)),x100812))),f617(x100813,x100812,x100811)))+~P24(f333(f333(f335(f889(x100811,x100811)),f333(f333(f263(x100811,x100811),f616(x100813,x100812,x100811)),f616(x100813,x100812,x100811))),x100813))
% 163.24/162.97 [5670]~P60(x56702)+E(x56701,f2(x56702))+E(f333(f333(f40(x56702),f333(f333(f82(x56702),x56703),x56701)),x56701),x56703)
% 163.24/162.97 [5671]~P60(x56712)+E(x56711,f2(x56712))+E(f333(f333(f40(x56712),f333(f333(f82(x56712),x56711),x56713)),x56711),x56713)
% 163.24/162.97 [6459]~P69(x64591)+~E(f333(x64592,f2(a880)),f2(x64591))+E(f333(f333(f8(a880,x64591),x64592),f333(f303(a880,f333(a117,f2(a880))),x64593)),f333(f333(f8(a880,x64591),x64592),f333(f303(a880,f2(a880)),x64593)))
% 163.24/162.97 [6584]~P60(x65842)+E(x65841,f2(x65842))+E(f333(f333(f40(x65842),f333(f333(f81(x65842),x65843),x65841)),x65841),f333(f333(f81(x65842),f333(f333(f40(x65842),x65843),x65841)),f79(x65842)))
% 163.24/162.97 [6585]~P60(x65852)+E(x65851,f2(x65852))+E(f333(f333(f40(x65852),f333(f333(f81(x65852),x65851),x65853)),x65851),f333(f333(f81(x65852),f333(f333(f40(x65852),x65853),x65851)),f79(x65852)))
% 163.24/162.97 [6798]~P24(f333(x67983,f2(a1)))+P24(f333(f333(f250(a880),x67981),x67982))+P24(f333(x67983,f333(f105(a1),f333(f333(f3(a880),x67982),x67981))))
% 163.24/162.97 [6896]P24(f333(f333(f250(a880),x68962),x68961))+P24(f333(f333(f251(a880),x68961),x68962))+P24(f333(x68963,f333(f105(a1),f333(f333(f3(a880),x68961),x68962))))
% 163.24/162.97 [6970]E(f333(f333(f81(a880),f333(f108(a880),x69701)),f333(f333(f81(a880),f333(f108(a880),x69702)),x69703)),f333(f333(f81(a880),f333(f108(a880),x69701)),x69703))+P24(f333(a200,f333(f108(a1),x69701)))+~P24(f333(a200,f333(f108(a1),x69702)))
% 163.24/162.97 [7051]~E(x70512,f333(f333(f40(a880),x70513),x70511))+~P24(f333(f333(f251(a880),f2(a880)),x70511))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x70511),x70512)),x70513))
% 163.24/162.97 [7164]~P24(f333(f63(x71641),x71643))+~P24(f333(f63(x71641),x71642))+P24(f333(f63(x71641),f333(f333(f115(f890(x71641,a874)),x71642),x71643)))
% 163.24/162.97 [7449]~P109(x74491)+~P24(f333(f63(x74491),x74492))+E(f140(x74491,f333(f333(f3(f890(x74491,a874)),x74492),f333(f333(f311(x74491),x74493),f194(f890(x74491,a874))))),f171(x74491,x74493,f140(x74491,x74492)))
% 163.24/162.97 [7512]P24(f333(x75121,f2(a1)))+~P24(f333(f333(f251(a880),x75122),x75123))+~P24(f333(x75121,f333(f105(a1),f333(f333(f3(a880),x75122),x75123))))
% 163.24/162.97 [7529]~P24(f333(f63(x75291),x75292))+E(f333(f39(x75291),f333(f333(f3(f890(x75291,a874)),x75292),f333(f333(f311(x75291),x75293),f194(f890(x75291,a874))))),f333(f39(x75291),x75292))+P24(f333(f333(f335(x75291),x75293),x75292))
% 163.24/162.97 [7656]~P123(x76561)+~P24(f333(f333(f251(x76561),f79(x76561)),x76562))+P24(f333(f333(f251(x76561),f79(x76561)),f333(f333(f82(x76561),x76562),f333(f333(f264(x76561),x76562),x76563))))
% 163.24/162.97 [7700]~P24(f333(f63(x77001),x77003))+E(f333(f333(f3(a880),f333(f39(x77001),x77002)),f333(f39(x77001),x77003)),f333(f39(x77001),f333(f333(f3(f890(x77001,a874)),x77002),x77003)))+~P24(f333(f333(f250(f890(x77001,a874)),x77003),x77002))
% 163.24/162.97 [7758]~P24(f333(f333(f250(a880),x77582),x77583))+~P24(f333(f333(f250(a880),x77581),f333(f333(f3(a880),x77583),x77582)))+P24(f333(f333(f250(a880),f333(f333(f81(a880),x77581),x77582)),x77583))
% 163.24/162.97 [7813]P24(f333(f63(x78131),x78132))+~P24(f333(f63(x78131),x78133))+~P24(f333(f63(x78131),f333(f333(f3(f890(x78131,a874)),x78132),x78133)))
% 163.24/162.97 [7819]~P24(f333(f63(x78191),x78192))+E(f333(f39(x78191),f333(f333(f3(f890(x78191,a874)),x78192),f333(f333(f311(x78191),x78193),f194(f890(x78191,a874))))),f333(f333(f3(a880),f333(f39(x78191),x78192)),f79(a880)))+~P24(f333(f333(f335(x78191),x78193),x78192))
% 163.24/162.97 [7890]P59(x78901,x78902)+~P59(x78901,x78903)+~P24(f333(f333(f250(f890(x78901,f890(x78901,a874))),x78902),x78903))
% 163.24/162.97 [7927]~P24(f333(f333(f250(a880),x79273),x79272))+P24(f333(f333(f250(a880),x79271),f333(f333(f3(a880),x79272),x79273)))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),x79271),x79273)),x79272))
% 163.24/162.97 [7945]P40(x79451,x79452)+~P40(x79451,x79453)+~P24(f333(f333(f250(f890(f889(x79451,x79451),a874)),x79452),x79453))
% 163.24/162.97 [7946]P57(x79461,x79462)+~P57(x79461,x79463)+~P24(f333(f333(f250(f890(f889(x79461,x79461),a874)),x79462),x79463))
% 163.24/162.97 [8196]~P123(x81961)+~P24(f333(f333(f251(x81961),f79(x81961)),x81962))+P24(f333(f333(f251(x81961),f333(f333(f264(x81961),x81962),x81963)),f333(f333(f82(x81961),x81962),f333(f333(f264(x81961),x81962),x81963))))
% 163.24/162.97 [8282]~P24(f333(x82821,f2(a1)))+~P24(f333(x82821,f333(f333(f3(a1),f333(f105(a1),x82822)),f333(f105(a1),x82823))))+P24(f333(x82821,f333(f105(a1),f333(f333(f3(a880),x82822),x82823))))
% 163.24/162.97 [8295]~P24(f333(f333(f250(a880),x82953),x82952))+P24(f333(x82951,f333(f333(f3(a1),f333(f105(a1),x82952)),f333(f105(a1),x82953))))+~P24(f333(x82951,f333(f105(a1),f333(f333(f3(a880),x82952),x82953))))
% 163.24/162.97 [8313]P24(f333(f333(f251(a880),x83131),x83132))+~P24(f333(x83133,f333(f333(f3(a1),f333(f105(a1),x83131)),f333(f105(a1),x83132))))+P24(f333(x83133,f333(f105(a1),f333(f333(f3(a880),x83131),x83132))))
% 163.24/162.97 [8365]~P124(x83652)+E(x83651,f2(x83652))+P24(f333(f333(f251(x83652),f2(x83652)),f333(f333(f81(x83652),f333(f333(f82(x83652),x83653),x83653)),f333(f333(f82(x83652),x83651),x83651))))
% 163.24/162.97 [8366]~P124(x83662)+E(x83661,f2(x83662))+P24(f333(f333(f251(x83662),f2(x83662)),f333(f333(f81(x83662),f333(f333(f82(x83662),x83661),x83661)),f333(f333(f82(x83662),x83663),x83663))))
% 163.24/162.97 [8474]~P24(f333(f333(f251(a880),f2(a880)),x84741))+~P24(f333(f333(f251(a1),x84742),x84743))+P24(f333(f333(f251(a1),f333(f333(f82(a1),f333(f105(a1),x84741)),x84742)),f333(f333(f82(a1),f333(f105(a1),x84741)),x84743)))
% 163.24/162.97 [8532]E(f333(f333(f106(f890(x85321,a874)),x85322),f41(f890(x85321,a874),x85323)),f194(f890(x85321,a874)))+P24(f333(f333(f335(f890(x85321,a874)),x85322),x85323))+P24(f333(f333(f335(f890(x85321,a874)),f683(x85323,x85322,x85321)),f333(f333(f311(f890(x85321,a874)),x85322),x85323)))
% 163.24/162.97 [8533]E(f333(f333(f106(f890(x85331,a874)),x85332),f41(f890(x85331,a874),x85333)),f194(f890(x85331,a874)))+P24(f333(f333(f335(f890(x85331,a874)),x85332),x85333))+P24(f333(f333(f335(f890(x85331,a874)),f701(x85333,x85332,x85331)),f333(f333(f311(f890(x85331,a874)),x85332),x85333)))
% 163.24/162.97 [8561]E(x85611,x85612)+~E(f333(f195(f881(x85613)),x85611),f333(f195(f881(x85613)),x85612))+P24(f333(f333(f335(f889(x85613,x85613)),f602(x85613,x85611,x85612)),f333(f173(f889(x85613,x85613)),f333(f333(f182(x85613,x85613),x85612),x85611))))
% 163.24/162.97 [8782]E(f309(x87821,x87822),f309(x87821,x87823))+~P24(f333(f333(f250(f890(f889(x87821,x87821),a874)),x87823),f309(x87821,x87822)))+~P24(f333(f333(f250(f890(f889(x87821,x87821),a874)),x87822),x87823))
% 163.24/162.97 [8845]~P50(x88451,f258(f890(x88451,a874)),x88453)+P24(f333(f333(f250(f890(f889(f881(x88451),f881(x88451)),a874)),f158(x88451,x88452)),f159(x88451,x88453)))+~P24(f333(f333(f250(f890(f889(x88451,x88451),a874)),x88452),x88453))
% 163.24/162.97 [9044]P40(x90441,x90442)+~P24(f333(f333(f335(x90441),x90443),f785(x90442,x90441)))+P24(f333(f333(f335(f889(x90441,x90441)),f333(f333(f263(x90441,x90441),f800(x90442,x90441,x90443)),x90443)),x90442))
% 163.24/162.97 [9071]~P24(f333(f63(x90711),x90712))+P24(f333(f63(f890(x90711,a874)),f333(f333(f62(x90711),x90712),x90713)))+~P24(f333(f333(f250(f890(f889(x90711,x90711),a874)),x90713),f333(f333(f270(x90711,x90711),x90712),f333(f18(f890(x90711,a874),x90711),x90712))))
% 163.24/162.97 [9112]P50(x91121,x91122,x91123)+P24(f333(f333(f335(x91121),f622(x91123,x91122,x91121)),x91122))+~P24(f333(f333(f250(f890(f889(x91121,x91121),a874)),x91123),f333(f333(f270(x91121,x91121),x91122),f333(f18(f890(x91121,a874),x91121),x91122))))
% 163.24/162.97 [9113]P50(x91131,x91132,x91133)+P24(f333(f333(f335(x91131),f629(x91132,x91133,x91131)),x91132))+~P24(f333(f333(f250(f890(f889(x91131,x91131),a874)),x91133),f333(f333(f270(x91131,x91131),x91132),f333(f18(f890(x91131,a874),x91131),x91132))))
% 163.24/162.97 [9153]~P66(x91531)+~P24(f333(f333(f251(x91531),x91532),x91533))+P24(f333(f333(f251(x91531),f333(f333(f291(x91531),f333(f333(f81(x91531),x91532),x91533)),f333(f333(f81(x91531),f79(x91531)),f79(x91531)))),x91533))
% 163.24/162.97 [9182]~P65(x91821)+P24(f333(f333(f250(x91821),x91822),x91823))+~P24(f333(f333(f250(x91821),f333(f333(f82(x91821),f364(x91823,x91822,x91821)),x91822)),x91823))
% 163.24/162.97 [9319]E(f333(f195(f881(f881(x93191))),f333(f137(f881(x93191),f333(f333(f10(a880,a874,f881(x93191)),f333(f251(a880),x93192)),f195(f881(x93191)))),f180(x93191,x93193))),f333(f195(f881(x93191)),f333(f333(f166(f881(x93191)),x93193),x93192)))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x93191),a880),f195(f881(x93191))),x93193)))+~P24(f333(f333(f251(a880),x93192),f333(f195(f881(f881(x93191))),x93193)))
% 163.24/162.97 [9425]~P40(x94251,x94252)+P22(x94251,f333(f333(f263(f890(f889(x94251,x94251),a874),f890(f889(x94251,x94251),a874)),x94252),x94253))+~P24(f333(f333(f250(f890(f889(x94251,x94251),a874)),f333(f333(f290(x94251,x94251,x94251),x94252),x94253)),x94252))
% 163.24/162.97 [9432]E(f333(f333(f155(f881(x94321),x94321),f333(f333(f9(f881(x94321),a880,x94321),f166(x94321)),x94322)),f333(f137(f881(x94321),f333(f333(f10(a880,a874,f881(x94321)),f333(f251(a880),x94322)),f195(f881(x94321)))),f180(x94321,x94323))),f333(f333(f166(f881(x94321)),x94323),x94322))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x94321),a880),f195(f881(x94321))),x94323)))+~P24(f333(f333(f251(a880),x94322),f333(f195(f881(f881(x94321))),x94323)))
% 163.24/162.97 [9577]P50(x95771,x95772,x95773)+~P24(f333(f333(f335(f889(x95771,x95771)),f333(f333(f263(x95771,x95771),f622(x95773,x95772,x95771)),f622(x95773,x95772,x95771))),x95773))+~P24(f333(f333(f250(f890(f889(x95771,x95771),a874)),x95773),f333(f333(f270(x95771,x95771),x95772),f333(f18(f890(x95771,a874),x95771),x95772))))
% 163.24/162.97 [9578]P50(x95781,x95782,x95783)+~P24(f333(f333(f335(f889(x95781,x95781)),f333(f333(f263(x95781,x95781),f629(x95782,x95783,x95781)),f629(x95782,x95783,x95781))),x95783))+~P24(f333(f333(f250(f890(f889(x95781,x95781),a874)),x95783),f333(f333(f270(x95781,x95781),x95782),f333(f18(f890(x95781,a874),x95781),x95782))))
% 163.24/162.97 [9777]~P140(x97771)+~P122(x97771)+E(f333(f333(f291(x97771),f333(f107(x97771),f333(f333(f74(f889(a1,a1),a1,x97772,f262(a1,a1)),f222(x97772)),x97773))),f333(f107(x97771),f333(f333(f74(f889(a1,a1),a1,x97772,f271(a1,a1)),f222(x97772)),x97773))),f232(x97772,x97771,x97773))
% 163.24/162.97 [9956]~E(x99563,f2(a880))+~E(f333(f195(f881(x99561)),f333(f333(f166(f881(x99561)),x99562),f658(x99563,x99561,x99562))),x99563)+E(f333(f333(f155(a880,f881(x99561)),f333(f333(f9(a880,f881(a880),f881(x99561)),f333(f333(f10(f890(a880,x99561),f890(f881(a880),f881(x99561)),a880),f155(a880,x99561)),f333(f9(a880,a880,x99561),f333(f333(f10(f881(x99561),f890(a880,x99561),a880),f166(x99561)),f333(f166(f881(x99561)),x99562))))),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(f881(x99561))),x99562))))),f140(a880,f333(f303(a880,f2(a880)),x99563))),f180(x99561,x99562))
% 163.24/162.97 [9957]E(x99571,f118(f881(x99572)))+~E(f333(f195(f881(x99572)),f333(f333(f166(f881(x99572)),x99571),f658(x99573,x99572,x99571))),x99573)+E(f333(f333(f155(a880,f881(x99572)),f333(f333(f9(a880,f881(a880),f881(x99572)),f333(f333(f10(f890(a880,x99572),f890(f881(a880),f881(x99572)),a880),f155(a880,x99572)),f333(f9(a880,a880,x99572),f333(f333(f10(f881(x99572),f890(a880,x99572),a880),f166(x99572)),f333(f166(f881(x99572)),x99571))))),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(f881(x99572))),x99571))))),f140(a880,f333(f303(a880,f2(a880)),x99573))),f180(x99572,x99571))
% 163.24/162.97 [9958]~E(x99583,f2(a880))+E(f333(f333(f155(a880,f881(x99581)),f333(f333(f9(a880,f881(a880),f881(x99581)),f333(f333(f10(f890(a880,x99581),f890(f881(a880),f881(x99581)),a880),f155(a880,x99581)),f333(f9(a880,a880,x99581),f333(f333(f10(f881(x99581),f890(a880,x99581),a880),f166(x99581)),f333(f166(f881(x99581)),x99582))))),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(f881(x99581))),x99582))))),f140(a880,f333(f303(a880,f2(a880)),x99583))),f180(x99581,x99582))+P24(f333(f333(f251(a880),f658(x99583,x99581,x99582)),f333(f195(f881(f881(x99581))),x99582)))
% 163.24/162.97 [9959]E(x99591,f118(f881(x99592)))+E(f333(f333(f155(a880,f881(x99592)),f333(f333(f9(a880,f881(a880),f881(x99592)),f333(f333(f10(f890(a880,x99592),f890(f881(a880),f881(x99592)),a880),f155(a880,x99592)),f333(f9(a880,a880,x99592),f333(f333(f10(f881(x99592),f890(a880,x99592),a880),f166(x99592)),f333(f166(f881(x99592)),x99591))))),f140(a880,f333(f303(a880,f2(a880)),f333(f195(f881(f881(x99592))),x99591))))),f140(a880,f333(f303(a880,f2(a880)),x99593))),f180(x99592,x99591))+P24(f333(f333(f251(a880),f658(x99593,x99592,x99591)),f333(f195(f881(f881(x99592))),x99591)))
% 163.24/162.97 [7697]E(f333(f333(f81(a880),f333(f108(a880),x76971)),f333(f333(f81(a880),f333(f108(a880),x76972)),x76973)),f333(f333(f81(a880),f333(f108(a880),f333(f333(f81(a1),x76971),x76972))),x76973))+P24(f333(a200,f333(f108(a1),x76971)))+P24(f333(a200,f333(f108(a1),x76972)))
% 163.24/162.97 [8465]~P24(f333(f63(x84651),x84652))+~P24(f333(f333(f335(x84651),x84653),x84652))+E(f333(a117,f333(f39(x84651),f333(f333(f3(f890(x84651,a874)),x84652),f333(f333(f311(x84651),x84653),f194(f890(x84651,a874)))))),f333(f39(x84651),x84652))
% 163.24/162.97 [8482]~P24(f333(f63(x84821),x84822))+~P24(f333(f333(f335(x84821),x84823),x84822))+E(f333(f333(f81(a880),f79(a880)),f333(f39(x84821),f333(f333(f3(f890(x84821,a874)),x84822),f333(f333(f311(x84821),x84823),f194(f890(x84821,a874)))))),f333(f39(x84821),x84822))
% 163.24/162.97 [8569]~P109(x85691)+~P24(f333(f63(x85691),x85693))+E(f333(f333(f149(x85691,x85691,f7(x85691)),x85692),f140(x85691,f333(f333(f3(f890(x85691,a874)),x85693),f333(f333(f311(x85691),x85692),f194(f890(x85691,a874)))))),f140(x85691,f333(f333(f311(x85691),x85692),x85693)))
% 163.24/162.97 [8711]~P24(f333(f63(x87111),x87113))+~P24(f333(f63(x87111),x87112))+E(f333(f333(f81(a880),f333(f39(x87111),f333(f333(f115(f890(x87111,a874)),x87112),x87113))),f333(f39(x87111),f333(f333(f106(f890(x87111,a874)),x87112),x87113))),f333(f333(f81(a880),f333(f39(x87111),x87112)),f333(f39(x87111),x87113)))
% 163.24/162.97 [9916]~P21(x99161,f890(f890(x99161,a874),a874),f333(f333(f9(x99161,f890(f889(x99161,x99161),a874),f890(f890(x99161,a874),a874)),f333(f333(f10(f890(x99161,a874),f890(f890(f889(x99161,x99161),a874),f890(f890(x99161,a874),a874)),x99161),f62(x99161)),f333(f333(f9(x99161,f890(x99161,a874),f890(x99161,a874)),f311(x99161)),f194(f890(x99161,a874))))),x99163),x99162)+~P24(f333(f63(x99161),x99162))+E(f333(f39(f890(x99161,a874)),f333(f333(f62(x99161),x99162),x99163)),f333(f39(x99161),x99162))
% 163.24/162.97 [8106]~P94(x81061)+P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x81063)))+E(f333(f333(f264(x81061),x81062),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x81063)),x81063))),f79(x81061))
% 163.24/162.97 [9416]~P94(x94161)+~P24(f333(f333(f250(a1),f2(a1)),f333(f108(a1),x94163)))+E(f333(f333(f264(x94161),x94162),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94163)),x94163))),f333(f333(f89(x94161,x94161),f333(f333(f264(x94161),x94162),f333(f108(a880),x94163))),f333(f333(f20(x94161,x94161,x94161),f333(f333(f10(x94161,f890(x94161,x94161),x94161),f82(x94161)),f333(f82(x94161),x94162))),f7(x94161))))
% 163.24/162.97 [9834]~P24(f333(f138(x98341),x98343))+~P24(f333(f333(f335(x98341),x98342),f333(f173(x98341),x98343)))+E(f333(f333(f139(x98341),f333(f195(f881(x98341)),f177(x98341,f333(f333(f10(a874,a874,x98341),a328),f333(f333(f9(x98341,x98341,a874),a330),x98342)),f333(f170(x98341),x98343)))),f333(f170(x98341),x98343)),f333(f333(f152(x98341),x98342),f333(f170(x98341),f177(x98341,f333(f333(f10(a874,a874,x98341),a328),f333(f333(f9(x98341,x98341,a874),a330),x98342)),x98343))))
% 163.24/162.97 [9899]P24(f333(f333(f250(f890(f889(x98991,x98991),a874)),f309(x98991,x98992)),x98993))+~P24(f333(f333(f250(f890(f889(x98991,x98991),a874)),f309(x98991,f194(f890(f889(x98991,x98991),a874)))),x98993))+~P24(f333(f333(f250(f890(f889(x98991,x98991),a874)),f333(f333(f290(x98991,x98991,x98991),f333(f333(f106(f890(f889(x98991,x98991),a874)),f309(x98991,x98992)),x98993)),x98992)),x98993))
% 163.24/162.97 [9741]~P24(f333(f63(x97411),f333(f255(x97411),x97413)))+~P24(f333(f63(x97411),f333(f255(x97411),x97412)))+P24(f333(f63(x97411),f333(f255(x97411),f333(f333(f20(x97411,a874,a874),f333(f333(f10(a874,f890(a874,a874),x97411),a332),x97412)),x97413))))
% 163.24/162.97 [10019]P24(f333(f333(f250(f890(f889(x100191,x100191),a874)),f333(f333(f290(x100191,x100191,x100191),x100192),f309(x100191,x100192))),x100193))+~P24(f333(f333(f250(f890(f889(x100191,x100191),a874)),x100192),x100193))+~P24(f333(f333(f250(f890(f889(x100191,x100191),a874)),f333(f333(f290(x100191,x100191,x100191),f333(f333(f106(f890(f889(x100191,x100191),a874)),f333(f333(f290(x100191,x100191,x100191),x100192),f309(x100191,x100192))),x100193)),x100192)),x100193))
% 163.24/162.97 [9978]~P24(f333(f138(x99781),x99783))+~P24(f333(f333(f335(x99781),x99782),f333(f173(x99781),x99783)))+E(f333(f170(x99781),f333(f172(x99781),f333(f333(f139(x99781),f333(f195(f881(x99781)),f177(x99781,f333(f333(f10(a874,a874,x99781),a328),f333(f333(f9(x99781,x99781,a874),a330),x99782)),x99783))),x99783))),f177(x99781,f333(f333(f10(a874,a874,x99781),a328),f333(f333(f9(x99781,x99781,a874),a330),x99782)),f333(f170(x99781),x99783)))
% 163.24/162.97 [10148]~P120(x101482)+E(x101481,f2(x101482))+~E(f333(f333(f81(x101482),f333(f333(f264(x101482),x101483),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101482),x101481),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f2(x101482))
% 163.24/162.97 [10149]~P120(x101492)+E(x101491,f2(x101492))+~E(f333(f333(f81(x101492),f333(f333(f264(x101492),x101491),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101492),x101493),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f2(x101492))
% 163.24/162.97 [10182]~P120(x101822)+E(x101821,f2(x101822))+P24(f333(f333(f251(x101822),f2(x101822)),f333(f333(f81(x101822),f333(f333(f264(x101822),x101823),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101822),x101821),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))))
% 163.24/162.97 [10183]~P120(x101832)+E(x101831,f2(x101832))+P24(f333(f333(f251(x101832),f2(x101832)),f333(f333(f81(x101832),f333(f333(f264(x101832),x101831),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101832),x101833),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))))
% 163.24/162.97 [10204]~P120(x102041)+P24(f333(f333(f250(x102041),f2(x102041)),x102042))+~P24(f333(f333(f250(x102041),f2(x102041)),f333(f333(f264(x102041),x102042),f333(a117,f333(f333(f82(a880),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),x102043)))))
% 163.24/162.97 [5511]~P20(x55111,x55114,x55113)+P20(x55111,x55112,x55113)+~P20(x55111,x55112,x55114)
% 163.24/162.97 [4976]~E(x49762,f91(x49763,x49761))+P24(f333(x49761,x49762))+~P24(f333(x49761,x49764))
% 163.24/162.97 [6715]~P40(x67152,x67154)+~P40(x67151,x67153)+P40(f889(x67151,x67152),f326(x67151,x67152,x67153,x67154))
% 163.24/162.97 [5154]~P5(x51544,x51541)+~E(f333(x51541,x51542),f333(x51541,x51543))+P24(f333(f333(x51541,x51542),x51543))
% 163.24/162.97 [5329]~P5(x53294,x53291)+E(f333(x53291,x53292),f333(x53291,x53293))+~P24(f333(f333(x53291,x53292),x53293))
% 163.24/162.97 [5420]~P14(x54203,x54204,x54201)+E(f333(x54201,x54202),f333(f65(x54203,x54204),x54202))+~P24(f333(f63(x54203),x54202))
% 163.24/162.97 [5421]~P3(x54213,x54214,x54211)+E(f333(x54211,x54212),f333(f65(x54213,x54214),x54212))+~P24(f333(f63(x54213),x54212))
% 163.24/162.97 [5544]~P5(x55444,x55441)+~P24(f333(f333(x55441,x55443),x55442))+P24(f333(f333(x55441,x55442),x55443))
% 163.24/162.97 [5613]E(x56131,x56132)+~E(f333(f262(x56133,x56134),x56131),f333(f262(x56133,x56134),x56132))+~E(f333(f271(x56133,x56134),x56131),f333(f271(x56133,x56134),x56132))
% 163.24/162.97 [5638]E(x56381,x56382)+~P24(f333(f49(x56383,x56384),x56382))+~P24(f333(f49(x56383,x56384),x56381))
% 163.24/162.97 [5829]~P69(x58292)+E(f240(x58291,x58292,x58293,x58294),f2(x58292))+P24(f333(f63(x58291),x58294))
% 163.24/162.97 [5965]~P24(f333(f321(x59651,x59652),x59654))+P24(f333(f321(x59651,x59652),x59653))+~P24(f333(f333(x59652,x59653),x59654))
% 163.24/162.97 [7885]~P109(x78852)+~P24(f333(f138(x78851),x78854))+P24(f333(f138(x78851),f151(x78851,x78852,x78853,x78854)))
% 163.24/162.97 [8113]~P24(f333(f63(x81132),x81134))+~P24(f333(f63(x81131),x81133))+P24(f333(f63(f888(x81131,x81132)),f320(x81131,x81132,x81133,x81134)))
% 163.24/162.97 [8114]~P24(f333(f138(x81142),x81144))+~P24(f333(f138(x81141),x81143))+P24(f333(f138(f889(x81141,x81142)),f61(x81141,x81142,x81143,x81144)))
% 163.24/162.97 [8118]P24(f333(f333(f335(f881(x81181)),f333(f333(f127(x81181),x81182),x81183)),f162(x81181,x81184)))+~P24(f333(f333(f335(f881(x81181)),x81183),f162(x81181,x81184)))+~P24(f333(f333(f335(f881(x81181)),x81182),f162(x81181,x81184)))
% 163.24/162.97 [8432]P24(f333(x84321,x84322))+~E(x84323,f333(f242(x84324),x84322))+~P24(f333(x84321,f400(x84322,x84321,x84323,x84324)))
% 163.24/162.97 [8444]~P109(x84443)+~P24(f333(f138(x84441),f151(x84441,x84443,x84444,x84442)))+P24(f333(f138(x84441),x84442))
% 163.24/162.97 [8702]~P24(f333(f333(f335(f889(x87021,x87021)),f333(f333(f263(x87021,x87021),x87022),x87024)),f309(x87021,x87023)))+P24(f333(f333(f335(x87021),x87022),f322(x87021,x87023)))+~P24(f333(f333(f335(x87021),x87024),f322(x87021,x87023)))
% 163.24/162.97 [8723]~E(x87234,f333(f242(x87233),x87232))+P24(f333(x87231,x87232))+P24(f333(f333(f335(x87233),f400(x87232,x87231,x87234,x87233)),f241(x87233,x87234)))
% 163.24/162.97 [5139]~P69(x51392)+E(f333(f333(f8(x51391,x51392),x51393),x51394),f2(x51392))+P24(f333(f63(x51391),x51394))
% 163.24/162.97 [5142]~P76(x51422)+E(f333(f333(f11(x51421,x51422),x51423),x51424),f79(x51422))+P24(f333(f63(x51421),x51424))
% 163.24/162.97 [5293]~P70(x52933)+E(x52931,x52932)+~E(f333(f333(f81(x52933),x52934),x52931),f333(f333(f81(x52933),x52934),x52932))
% 163.24/162.97 [5294]~P71(x52943)+E(x52941,x52942)+~E(f333(f333(f81(x52943),x52944),x52941),f333(f333(f81(x52943),x52944),x52942))
% 163.24/162.97 [5296]~P70(x52963)+E(x52961,x52962)+~E(f333(f333(f81(x52963),x52961),x52964),f333(f333(f81(x52963),x52962),x52964))
% 163.24/162.97 [5416]~P29(x54163)+E(x54161,f194(f890(x54162,a874)))+E(f333(f333(f43(x54162,x54163),x54161),f333(f18(x54163,x54162),x54164)),x54164)
% 163.24/162.97 [5417]~P29(x54173)+E(x54171,f194(f890(x54172,a874)))+E(f333(f333(f44(x54172,x54173),x54171),f333(f18(x54173,x54172),x54174)),x54174)
% 163.24/162.97 [5626]~P110(x56263)+E(x56261,x56262)+~E(f304(x56263,x56264,x56261),f333(f333(f311(x56263),x56262),f194(f890(x56263,a874))))
% 163.24/162.97 [5627]~P110(x56273)+E(x56271,x56272)+~E(f304(x56273,x56271,x56272),f333(f333(f311(x56273),x56274),f194(f890(x56273,a874))))
% 163.24/162.97 [5687]~P38(x56873,x56871,x56874)+P38(x56873,x56871,f333(f333(f152(x56873),x56872),x56874))+P24(f333(x56871,x56872))
% 163.24/162.97 [5789]~P34(x57891,x57892,x57894)+~P24(f333(x57892,x57893))+P34(x57891,x57892,f333(f333(f152(x57891),x57893),x57894))
% 163.24/162.97 [5922]P24(f333(x59221,x59222))+~P24(f333(f267(x59223,x59221),x59224))+~P24(f333(f333(f335(x59223),x59222),x59224))
% 163.24/162.97 [5931]~P34(x59311,x59312,x59314)+~P34(x59311,x59312,x59313)+P34(x59311,x59312,f333(f333(f127(x59311),x59313),x59314))
% 163.24/162.97 [5940]P36(x59401,x59402,x59403)+~P36(x59401,x59402,f333(f333(f152(x59401),x59404),x59403))+P24(f333(x59402,x59404))
% 163.24/162.97 [5941]P38(x59411,x59412,x59413)+~P38(x59411,x59412,f333(f333(f152(x59411),x59414),x59413))+P24(f333(x59412,x59414))
% 163.24/162.97 [5954]E(x59541,x59542)+~P24(f333(f333(f201(x59543),x59544),x59542))+~P24(f333(f333(f201(x59543),x59544),x59541))
% 163.24/162.97 [6020]P36(x60201,x60202,x60203)+P36(x60201,x60202,x60204)+~P36(x60201,x60202,f333(f333(f127(x60201),x60204),x60203))
% 163.24/162.97 [6039]~P69(x60391)+E(f333(f333(f8(a880,x60391),x60392),f333(f303(a880,x60393),f333(a117,x60394))),f2(x60391))+~P24(f333(f333(f251(a880),x60394),x60393))
% 163.24/162.97 [6044]~P61(x60441)+~E(f46(x60441,x60442,x60443),f46(x60441,x60444,x60443))+E(f46(x60441,f333(f80(x60441),x60442),x60443),f46(x60441,f333(f80(x60441),x60444),x60443))
% 163.24/162.97 [6112]P24(f333(x61121,x61122))+~E(f333(f137(x61123,x61121),x61124),x61124)+~P24(f333(f333(f335(x61123),x61122),f333(f173(x61123),x61124)))
% 163.24/162.97 [6131]~E(f333(f333(f81(a880),x61313),x61312),f333(f333(f81(a880),x61311),x61314))+~P24(f333(f333(f251(a880),x61313),x61314))+P24(f333(f333(f251(a880),x61311),x61312))
% 163.24/162.97 [6135]P36(x61351,x61352,x61353)+~P24(f333(x61352,x61354))+~P24(f333(f333(f335(x61351),x61354),f333(f173(x61351),x61353)))
% 163.24/162.97 [6173]~P34(x61733,x61731,x61734)+P24(f333(x61731,x61732))+~P24(f333(f333(f335(x61733),x61732),f333(f173(x61733),x61734)))
% 163.24/162.97 [6175]~E(f333(f137(x61751,x61752),x61753),f118(x61751))+~P24(f333(x61752,x61754))+~P24(f333(f333(f335(x61751),x61754),f333(f173(x61751),x61753)))
% 163.24/162.97 [6176]~E(f177(x61763,x61761,x61764),x61764)+P24(f333(x61761,x61762))+~P24(f333(f333(f335(x61763),x61762),f333(f173(x61763),x61764)))
% 163.24/162.97 [6206]~E(x62064,f194(f890(x62062,a874)))+~E(x62063,f194(f890(x62061,a874)))+E(f320(x62061,x62062,x62063,x62064),f194(f890(f888(x62061,x62062),a874)))
% 163.24/162.97 [6347]P24(f333(x63471,x63472))+~P24(f333(f161(x63473,x63471),x63474))+~P24(f333(f333(f335(x63473),x63472),f333(f173(x63473),x63474)))
% 163.24/162.97 [6613]~P69(x66131)+E(f333(f333(f8(a880,x66131),x66132),f304(a880,x66133,f333(a117,x66134))),f2(x66131))+~P24(f333(f333(f251(a880),f333(a117,x66134)),x66133))
% 163.24/162.97 [6754]~P109(x67541)+E(f333(f333(f3(f890(x67541,a874)),f333(f303(x67541,x67542),x67543)),f333(f303(x67541,x67542),x67544)),f333(f303(x67541,x67544),x67543))+~P24(f333(f333(f250(x67541),x67542),x67544))
% 163.24/162.97 [7096]~P24(f333(f333(f335(f881(x70961)),x70964),f162(x70961,x70963)))+P24(f333(f333(f335(x70961),x70962),x70963))+~P24(f333(f333(f335(x70961),x70962),f333(f173(x70961),x70964)))
% 163.24/162.97 [7103]~P40(x71031,x71032)+P24(f333(f333(f335(x71031),f786(x71032,x71031,x71033)),x71033))+~P24(f333(f333(f335(x71031),x71034),x71033))
% 163.24/162.97 [7159]~P69(x71591)+E(f333(f333(f333(f67(x71591,x71592,f81(x71591)),x71593),f2(x71591)),x71594),f333(f333(f8(x71592,x71591),x71593),x71594))+~P24(f333(f63(x71592),x71594))
% 163.24/162.97 [7161]~P76(x71611)+E(f333(f333(f333(f67(x71611,x71612,f82(x71611)),x71613),f79(x71611)),x71614),f333(f333(f11(x71612,x71611),x71613),x71614))+~P24(f333(f63(x71612),x71614))
% 163.24/162.97 [7189]P21(x71891,x71892,x71893,x71894)+~E(f333(f39(x71892),f333(f312(x71891,x71892,x71893),x71894)),f333(f39(x71891),x71894))+~P24(f333(f63(x71891),x71894))
% 163.24/162.97 [7365]~P69(x73651)+E(f333(f333(f81(x73651),f333(x73652,x73653)),f333(f333(f8(a880,x73651),x73652),f306(a880,x73653,x73654))),f333(f333(f8(a880,x73651),x73652),f304(a880,x73653,x73654)))+~P24(f333(f333(f250(a880),x73653),x73654))
% 163.24/162.97 [7375]~P69(x73751)+~P21(x73752,x73751,x73753,x73754)+E(f333(f333(f8(x73751,x73751),f35(x73751)),f333(f312(x73752,x73751,x73753),x73754)),f333(f333(f8(x73752,x73751),x73753),x73754))
% 163.24/162.97 [7376]~P76(x73761)+~P21(x73762,x73761,x73763,x73764)+E(f333(f333(f11(x73761,x73761),f35(x73761)),f333(f312(x73762,x73761,x73763),x73764)),f333(f333(f11(x73762,x73761),x73763),x73764))
% 163.24/162.97 [7429]E(f333(f39(f888(x74291,x74292)),f320(x74291,x74292,x74293,x74294)),f333(f333(f81(a880),f333(f39(x74291),x74293)),f333(f39(x74292),x74294)))+~P24(f333(f63(x74292),x74294))+~P24(f333(f63(x74291),x74293))
% 163.24/162.97 [7513]E(x75131,x75132)+P24(f333(f333(f335(x75133),x75131),f333(f173(x75133),f171(x75133,x75132,x75134))))+~P24(f333(f333(f335(x75133),x75131),f333(f173(x75133),x75134)))
% 163.24/162.97 [7733]~P69(x77331)+E(f333(f333(f81(x77331),f333(f333(f8(a880,x77331),x77332),f333(f303(a880,x77333),x77334))),f333(x77332,x77334)),f333(f333(f8(a880,x77331),x77332),f333(f303(a880,x77333),f333(a117,x77334))))+P24(f333(f333(f251(a880),x77334),x77333))
% 163.24/162.97 [7789]~P21(x77891,x77892,x77893,f258(f890(x77891,a874)))+~P24(f333(f63(x77892),x77894))+P24(f333(f63(x77891),f333(f313(x77891,x77892,x77893),x77894)))
% 163.24/162.97 [7898]P24(f333(f333(f335(f881(x78981)),f333(f333(f152(x78981),x78982),x78983)),f162(x78981,x78984)))+~P24(f333(f333(f335(f881(x78981)),x78983),f162(x78981,x78984)))+~P24(f333(f333(f335(x78981),x78982),x78984))
% 163.24/162.97 [7983]~E(f333(f312(x79833,x79831,x79834),f258(f890(x79833,a874))),f258(f890(x79831,a874)))+P24(f333(f63(x79831),x79832))+~P24(f333(f63(x79833),f333(f313(x79833,x79831,x79834),x79832)))
% 163.24/162.97 [8084]~P21(x80841,x80843,x80844,x80842)+P24(f333(f63(x80841),x80842))+~P24(f333(f63(x80843),f333(f312(x80841,x80843,x80844),x80842)))
% 163.24/162.97 [8105]~E(x81052,x81053)+P24(f333(f333(f335(f889(x81051,x81051)),f333(f333(f263(x81051,x81051),x81052),x81053)),f260(x81051,x81054)))+~P24(f333(f333(f335(x81051),x81052),x81054))
% 163.24/162.97 [8145]~P69(x81451)+E(f333(f333(f81(x81451),f333(f333(f8(a880,x81451),x81452),f304(a880,x81453,x81454))),f333(x81452,f333(a117,x81454))),f333(f333(f8(a880,x81451),x81452),f304(a880,x81453,f333(a117,x81454))))+P24(f333(f333(f251(a880),f333(a117,x81454)),x81453))
% 163.24/162.97 [8208]P24(f333(x82081,x82082))+~P24(f333(x82081,f333(f333(f166(x82083),x82084),f579(x82081,x82084,x82083))))+~P24(f333(f333(f335(x82083),x82082),f333(f173(x82083),x82084)))
% 163.24/162.97 [8343]~P24(f333(f333(f335(x83431),x83432),f322(x83431,x83434)))+P24(f333(f333(f335(f881(x83431)),f333(f333(f152(x83431),x83432),x83433)),f322(f881(x83431),f158(x83431,x83434))))+~P24(f333(f333(f335(f881(x83431)),x83433),f322(f881(x83431),f158(x83431,x83434))))
% 163.24/162.97 [8356]~P21(x83562,x83563,x83564,f847(x83564,x83563,x83562,x83561))+P21(x83562,x83563,x83564,f42(f890(x83562,a874),x83561))+E(x83561,f194(f890(f890(x83562,a874),a874)))
% 163.24/162.97 [8630]E(x86301,x86302)+~P24(f333(f333(f335(f889(x86303,x86303)),f333(f333(f263(x86303,x86303),x86301),x86302)),f309(x86303,x86304)))+P24(f333(f333(f335(x86303),x86301),f333(f261(x86303,x86303),x86304)))
% 163.24/162.97 [8906]P21(x89062,x89063,x89064,f42(f890(x89062,a874),x89061))+E(x89061,f194(f890(f890(x89062,a874),a874)))+P24(f333(f333(f335(f890(x89062,a874)),f847(x89064,x89063,x89062,x89061)),x89061))
% 163.24/162.97 [9037]P24(f333(f63(x90371),x90372))+~P24(f333(f63(x90374),f333(f312(x90371,x90374,x90373),x90372)))+P24(f333(f333(f335(x90371),f719(x90373,x90374,x90372,x90371)),x90372))
% 163.24/162.97 [9128]~P29(x91282)+E(f333(f333(f66(x91281,x91282,f333(f333(f10(x91282,f890(x91282,x91282),x91281),f106(x91282)),x91283)),f258(x91282)),x91284),f333(f333(f43(x91281,x91282),x91284),x91283))+~P24(f333(f63(x91281),x91284))
% 163.24/162.97 [9129]~P29(x91292)+E(f333(f333(f66(x91291,x91292,f333(f333(f10(x91292,f890(x91292,x91292),x91291),f115(x91292)),x91293)),f194(x91292)),x91294),f333(f333(f44(x91291,x91292),x91294),x91293))+~P24(f333(f63(x91291),x91294))
% 163.24/162.97 [9213]P24(f333(x92131,x92132))+~P24(f333(x92131,f333(f333(f166(x92133),x92134),f686(x92132,x92131,x92134,x92133))))+~P24(f333(f333(f335(x92133),x92132),f333(f173(x92133),x92134)))
% 163.24/162.97 [9233]E(x92331,x92332)+~P24(f333(f333(f335(f889(x92333,x92333)),f333(f333(f263(x92333,x92333),x92331),x92332)),f309(x92333,x92334)))+P24(f333(f333(f335(f889(x92333,x92333)),f333(f333(f263(x92333,x92333),x92331),x92332)),f333(f333(f290(x92333,x92333,x92333),x92334),f309(x92333,x92334))))
% 163.24/162.97 [9290]~E(f333(f195(f881(x92901)),x92902),f333(f195(f881(x92901)),x92903))+~P24(f333(f333(f335(f889(f881(x92901),f881(x92901))),f333(f333(f263(f881(x92901),f881(x92901)),x92902),x92903)),f148(x92901,x92904)))+P24(f333(f333(f335(f889(f881(x92901),f881(x92901))),f333(f333(f263(f881(x92901),f881(x92901)),x92902),x92903)),f146(x92901,x92904)))
% 163.24/162.97 [9526]P34(x95261,f333(f333(f20(x95261,a874,a874),f333(f333(f10(a874,f890(a874,a874),x95261),a332),f333(f333(f10(a874,a874,x95261),a328),x95262))),f333(a330,x95263)),x95264)+~P24(f333(x95262,x95263))+~P38(x95261,x95262,f333(f333(f152(x95261),x95263),x95264))
% 163.24/162.97 [9698]~P34(x96981,f333(f333(f20(x96981,a874,a874),f333(f333(f10(a874,f890(a874,a874),x96981),a332),f333(f333(f10(a874,a874,x96981),a328),x96982))),f333(a330,x96983)),x96984)+~P24(f333(x96982,x96983))+P38(x96981,x96982,f333(f333(f152(x96981),x96983),x96984))
% 163.24/162.97 [9702]~P38(x97021,x97022,x97024)+~P34(x97021,f333(f333(f20(x97021,a874,a874),f333(f333(f10(a874,f890(a874,a874),x97021),a332),f333(f333(f10(a874,a874,x97021),a328),x97022))),f333(a330,x97023)),x97024)+P38(x97021,x97022,f333(f333(f152(x97021),x97023),x97024))
% 163.24/162.97 [9744]~P68(x97441)+E(f333(f333(f8(a880,x97441),f333(f333(f20(a880,x97441,x97441),f333(f333(f10(x97441,f890(x97441,x97441),a880),f3(x97441)),x97442)),f333(f333(f10(a880,x97441,a880),x97442),f333(f333(f9(a880,a880,a880),f81(a880)),f79(a880))))),f304(a880,x97443,x97444)),f2(x97441))+P24(f333(f333(f250(a880),x97443),x97444))
% 163.24/162.97 [9972]~P40(x99722,x99724)+~P21(x99722,x99721,x99723,f258(f890(x99722,a874)))+P40(x99721,f333(f312(f889(x99722,x99722),f889(x99721,x99721),f273(x99722,x99721,x99722,x99721,x99723,x99723)),x99724))
% 163.24/162.97 [10160]~E(f333(f195(f881(x101601)),x101603),f333(f195(f881(x101601)),x101602))+P24(f333(f333(f335(f889(f881(x101601),f881(x101601))),f333(f333(f263(f881(x101601),f881(x101601)),x101602),x101603)),f159(x101601,x101604)))+~P24(f333(f333(f272(x101601,x101601,a874),f333(f333(f9(x101601,f890(f889(x101601,x101601),a874),f890(x101601,a874)),f333(f333(f10(f890(x101601,f890(f890(f889(x101601,x101601),a874),a874)),f890(f890(f889(x101601,x101601),a874),f890(x101601,a874)),x101601),f9(x101601,f890(f889(x101601,x101601),a874),a874)),f333(f333(f10(f890(x101601,f889(x101601,x101601)),f890(x101601,f890(f890(f889(x101601,x101601),a874),a874)),x101601),f333(f10(f889(x101601,x101601),f890(f890(f889(x101601,x101601),a874),a874),x101601),f335(f889(x101601,x101601)))),f263(x101601,x101601)))),x101604)),f595(x101604,x101603,x101602,x101601)))
% 163.24/162.97 [6004]~E(x60044,x60042)+P24(f333(x60041,x60042))+P24(f333(f333(f201(f33(x60041,x60043)),x60042),x60044))
% 163.24/162.97 [6096]~P60(x60961)+~E(x60962,f2(x60961))+E(f333(f333(f40(x60961),f333(f333(f82(x60961),x60962),x60963)),f333(f333(f82(x60961),x60962),x60964)),f2(x60961))
% 163.24/162.97 [6134]E(x61341,f118(x61342))+E(x61343,f333(f333(f3(a880),f333(f195(f881(x61342)),x61341)),f79(a880)))+E(f145(x61342,f333(f333(f160(x61342,x61341),x61343),x61344)),f145(x61342,x61341))
% 163.24/162.97 [6164]E(x61641,x61642)+P24(f333(x61643,x61642))+~P24(f333(f333(f333(f311(x61644),x61641),x61643),x61642))
% 163.24/162.97 [6180]~P69(x61801)+~P24(f333(f138(x61802),x61804))+E(f333(f167(x61801),f333(f333(f155(x61802,x61801),x61803),x61804)),f333(f333(f8(x61802,x61801),x61803),f333(f173(x61802),x61804)))
% 163.24/162.97 [6199]~P76(x61992)+~P24(f333(f63(x61991),x61994))+E(f333(f333(f11(x61991,x61992),f333(f18(x61992,x61991),x61993)),x61994),f333(f333(f264(x61992),x61993),f333(f39(x61991),x61994)))
% 163.24/162.97 [6253]~P63(x62532)+E(x62531,f2(x62532))+E(f333(f333(f291(x62532),f333(f333(f82(x62532),x62533),x62531)),f333(f333(f82(x62532),x62534),x62531)),f333(f333(f291(x62532),x62533),x62534))
% 163.24/162.97 [6254]~P63(x62542)+E(x62541,f2(x62542))+E(f333(f333(f291(x62542),f333(f333(f82(x62542),x62541),x62543)),f333(f333(f82(x62542),x62541),x62544)),f333(f333(f291(x62542),x62543),x62544))
% 163.24/162.97 [6255]~P60(x62552)+E(x62551,f2(x62552))+E(f333(f333(f40(x62552),f333(f333(f82(x62552),x62553),x62551)),f333(f333(f82(x62552),x62554),x62551)),f333(f333(f40(x62552),x62553),x62554))
% 163.24/162.97 [6257]~P60(x62572)+E(x62571,f2(x62572))+E(f333(f333(f40(x62572),f333(f333(f82(x62572),x62571),x62573)),f333(f333(f82(x62572),x62571),x62574)),f333(f333(f40(x62572),x62573),x62574))
% 163.24/162.97 [6319]P24(f333(x63191,x63192))+~E(x63193,f333(f333(f81(a880),x63194),x63192))+~P24(f333(x63191,f333(f333(f3(a880),x63193),x63194)))
% 163.24/162.97 [6400]P23(x64001,x64002,x64003)+P32(x64001,f600(x64003,x64002,x64001),x64004)+~P24(f333(f333(f335(f879(x64001)),x64004),x64002))
% 163.24/162.97 [6402]~P24(f333(x64022,x64023))+~P24(f333(f161(x64021,x64022),x64024))+P24(f333(f161(x64021,x64022),f333(f333(f152(x64021),x64023),x64024)))
% 163.24/162.97 [6442]E(x64421,f118(x64422))+~E(x64423,f333(f333(f3(a880),f333(f195(f881(x64422)),x64421)),f79(a880)))+E(f145(x64422,f333(f333(f160(x64422,x64421),x64423),x64424)),x64424)
% 163.24/162.97 [6464]~P101(x64641)+~P24(f333(f333(f251(x64641),x64642),x64644))+P24(f333(f333(f251(x64641),x64642),f333(f333(f115(x64641),x64643),x64644)))
% 163.24/162.97 [6465]~P101(x64651)+~P24(f333(f333(f251(x64651),x64652),x64653))+P24(f333(f333(f251(x64651),x64652),f333(f333(f115(x64651),x64653),x64654)))
% 163.24/162.97 [6467]~P109(x64671)+~P24(f333(f333(f251(x64671),x64672),x64674))+P24(f333(f333(f251(x64671),x64672),f333(f333(f249(x64671),x64673),x64674)))
% 163.24/162.97 [6469]~P109(x64691)+~P24(f333(f333(f251(x64691),x64692),x64693))+P24(f333(f333(f251(x64691),x64692),f333(f333(f249(x64691),x64693),x64694)))
% 163.24/162.97 [6470]~P101(x64701)+~P24(f333(f333(f250(x64701),x64702),x64704))+P24(f333(f333(f250(x64701),x64702),f333(f333(f115(x64701),x64703),x64704)))
% 163.24/162.97 [6471]~P101(x64711)+~P24(f333(f333(f250(x64711),x64712),x64713))+P24(f333(f333(f250(x64711),x64712),f333(f333(f115(x64711),x64713),x64714)))
% 163.24/162.97 [6473]~P109(x64731)+~P24(f333(f333(f250(x64731),x64732),x64734))+P24(f333(f333(f250(x64731),x64732),f333(f333(f249(x64731),x64733),x64734)))
% 163.24/162.97 [6475]~P109(x64751)+~P24(f333(f333(f250(x64751),x64752),x64753))+P24(f333(f333(f250(x64751),x64752),f333(f333(f249(x64751),x64753),x64754)))
% 163.24/162.97 [6558]~E(f333(f333(f166(x65581),x65582),x65583),x65584)+E(f333(f333(f160(x65581,x65582),x65583),x65584),x65582)+~P24(f333(f333(f251(a880),x65583),f333(f195(f881(x65581)),x65582)))
% 163.24/162.97 [6575]E(x65751,x65752)+P24(f333(x65753,x65751))+~P24(f333(f333(f201(f33(x65753,x65754)),x65751),x65752))
% 163.24/162.97 [6599]P24(f333(x65991,x65992))+~P24(f333(x65993,x65992))+~P24(f333(f333(f250(f890(x65994,a874)),x65993),x65991))
% 163.24/162.97 [6631]~E(f333(f333(f160(x66311,x66312),x66313),x66314),x66312)+E(f333(f333(f166(x66311),x66312),x66313),x66314)+~P24(f333(f333(f251(a880),x66313),f333(f195(f881(x66311)),x66312)))
% 163.24/162.97 [6646]~P24(f333(f161(x66461,x66462),x66464))+~P24(f333(f161(x66461,x66462),x66463))+P24(f333(f161(x66461,x66462),f333(f333(f127(x66461),x66463),x66464)))
% 163.24/162.97 [6742]P32(x67421,x67422,x67423)+~P32(x67421,f333(a117,x67422),f604(x67422,x67424,x67421))+~P24(f333(f333(f335(f879(x67421)),x67423),x67424))
% 163.24/162.97 [6751]E(x67511,f194(f890(x67512,a874)))+E(x67513,f194(f890(x67514,a874)))+~E(f333(f333(f270(x67514,x67512),x67513),f333(f18(f890(x67512,a874),x67514),x67511)),f194(f890(f889(x67514,x67512),a874)))
% 163.24/162.97 [6764]E(x67641,x67642)+P24(f333(f333(f335(x67643),x67641),x67644))+~P24(f333(f333(f335(x67643),x67641),f333(f333(f311(x67643),x67642),x67644)))
% 163.24/162.97 [6780]~P109(x67801)+P24(f333(f333(f251(x67801),x67802),x67803))+~P24(f333(f333(f251(x67801),x67802),f333(f333(f248(x67801),x67804),x67803)))
% 163.24/162.97 [6781]~P109(x67811)+P24(f333(f333(f251(x67811),x67812),x67813))+~P24(f333(f333(f251(x67811),x67812),f333(f333(f248(x67811),x67813),x67814)))
% 163.24/162.97 [6783]~P102(x67831)+P24(f333(f333(f250(x67831),x67832),x67833))+~P24(f333(f333(f250(x67831),x67832),f333(f333(f106(x67831),x67834),x67833)))
% 163.24/162.97 [6785]~P102(x67851)+P24(f333(f333(f250(x67851),x67852),x67853))+~P24(f333(f333(f250(x67851),x67852),f333(f333(f106(x67851),x67853),x67854)))
% 163.24/162.97 [6787]~P109(x67871)+P24(f333(f333(f250(x67871),x67872),x67873))+~P24(f333(f333(f250(x67871),x67872),f333(f333(f248(x67871),x67874),x67873)))
% 163.24/162.97 [6789]~P109(x67891)+P24(f333(f333(f250(x67891),x67892),x67893))+~P24(f333(f333(f250(x67891),x67892),f333(f333(f248(x67891),x67893),x67894)))
% 163.24/162.97 [6810]~E(f333(f333(f166(x68101),x68103),x68104),x68102)+P24(f333(f333(f335(x68101),x68102),f333(f173(x68101),x68103)))+~P24(f333(f333(f251(a880),x68104),f333(f195(f881(x68101)),x68103)))
% 163.24/162.97 [6820]~P109(x68201)+~P31(x68201,f333(f333(f152(x68201),x68202),f333(f333(f152(x68201),x68203),x68204)))+P24(f333(f333(f250(x68201),x68202),x68203))
% 163.24/162.97 [6960]~P34(x69602,x69601,x69603)+P24(f333(x69601,f333(f333(f166(x69602),x69603),x69604)))+~P24(f333(f333(f251(a880),x69604),f333(f195(f881(x69602)),x69603)))
% 163.24/162.97 [6979]E(x69791,f2(a1))+E(f333(f333(f40(a1),x69792),x69791),x69793)+~P24(f333(f50(x69792,x69791),f333(f333(f263(a1,a1),x69793),x69794)))
% 163.24/162.97 [7000]E(f46(a1,x70002,x70001),x70003)+E(x70001,f2(a1))+~P24(f333(f50(x70002,x70001),f333(f333(f263(a1,a1),x70004),x70003)))
% 163.24/162.97 [7117]P24(f333(f333(f335(x71171),x71172),x71173))+~P24(f333(f333(f335(x71171),x71172),x71174))+~P24(f333(f333(f251(f890(x71171,a874)),x71174),x71173))
% 163.24/162.97 [7121]P24(f333(f333(f335(x71211),x71212),x71213))+~P24(f333(f333(f335(x71211),x71212),x71214))+~P24(f333(f333(f250(f890(x71211,a874)),x71214),x71213))
% 163.24/162.97 [7229]P36(x72291,x72292,x72293)+~P24(f333(x72292,f333(f333(f166(x72291),x72293),x72294)))+~P24(f333(f333(f251(a880),x72294),f333(f195(f881(x72291)),x72293)))
% 163.24/162.97 [7331]~P111(x73312)+~P24(f333(f333(f251(f890(x73311,x73312)),x73313),x73314))+P24(f333(f333(f250(f890(x73311,x73312)),x73313),x73314))
% 163.24/162.97 [7417]~P20(x74171,x74172,x74174)+P20(x74171,x74172,f333(f333(f311(f879(x74171)),x74173),x74174))+~P20(x74171,x74172,f333(f333(f311(f879(x74171)),x74173),f194(f890(f879(x74171),a874))))
% 163.24/162.97 [7462]~P24(f333(f333(f335(x74621),x74622),x74624))+P24(f333(f333(f335(x74621),x74622),f41(f890(x74621,a874),x74623)))+~P24(f333(f333(f335(f890(x74621,a874)),x74624),x74623))
% 163.24/162.97 [7474]P32(x74741,x74742,x74743)+P24(f333(f333(f335(f879(x74741)),f604(x74742,x74744,x74741)),x74744))+~P24(f333(f333(f335(f879(x74741)),x74743),x74744))
% 163.24/162.97 [7491]~P85(x74911)+~P24(f333(f333(f251(x74911),x74913),x74914))+P24(f333(f333(f251(x74911),f333(f333(f81(x74911),x74912),x74913)),f333(f333(f81(x74911),x74912),x74914)))
% 163.24/162.97 [7492]~P88(x74921)+~P24(f333(f333(f251(x74921),x74923),x74924))+P24(f333(f333(f251(x74921),f333(f333(f81(x74921),x74922),x74923)),f333(f333(f81(x74921),x74922),x74924)))
% 163.24/162.97 [7493]~P85(x74931)+~P24(f333(f333(f251(x74931),x74932),x74934))+P24(f333(f333(f251(x74931),f333(f333(f81(x74931),x74932),x74933)),f333(f333(f81(x74931),x74934),x74933)))
% 163.24/162.97 [7494]~P88(x74941)+~P24(f333(f333(f251(x74941),x74942),x74944))+P24(f333(f333(f251(x74941),f333(f333(f81(x74941),x74942),x74943)),f333(f333(f81(x74941),x74944),x74943)))
% 163.24/162.97 [7495]~P85(x74951)+~P24(f333(f333(f250(x74951),x74953),x74954))+P24(f333(f333(f250(x74951),f333(f333(f81(x74951),x74952),x74953)),f333(f333(f81(x74951),x74952),x74954)))
% 163.24/162.97 [7496]~P86(x74961)+~P24(f333(f333(f250(x74961),x74963),x74964))+P24(f333(f333(f250(x74961),f333(f333(f81(x74961),x74962),x74963)),f333(f333(f81(x74961),x74962),x74964)))
% 163.24/162.97 [7497]~P85(x74971)+~P24(f333(f333(f250(x74971),x74972),x74974))+P24(f333(f333(f250(x74971),f333(f333(f81(x74971),x74972),x74973)),f333(f333(f81(x74971),x74974),x74973)))
% 163.24/162.97 [7498]~P86(x74981)+~P24(f333(f333(f250(x74981),x74982),x74984))+P24(f333(f333(f250(x74981),f333(f333(f81(x74981),x74982),x74983)),f333(f333(f81(x74981),x74984),x74983)))
% 163.24/162.97 [7507]~P106(x75071)+~P95(x75071)+E(f333(f333(f3(x75071),f333(f333(f82(x75071),x75072),f333(f108(x75071),x75073))),f333(f333(f82(x75071),x75074),f333(f108(x75071),x75073))),f333(f333(f82(x75071),f333(f333(f3(x75071),x75072),x75074)),f333(f108(x75071),x75073)))
% 163.24/162.97 [7508]~P138(x75081)+~P95(x75081)+E(f333(f333(f81(x75081),f333(f333(f82(x75081),x75082),f333(f108(x75081),x75083))),f333(f333(f82(x75081),x75084),f333(f108(x75081),x75083))),f333(f333(f82(x75081),f333(f333(f81(x75081),x75082),x75084)),f333(f108(x75081),x75083)))
% 163.24/162.97 [7543]~P69(x75431)+E(f333(f333(f81(x75431),f333(x75432,x75433)),f333(f333(f8(a880,x75431),x75432),f304(a880,f333(a117,x75433),x75434))),f333(f333(f8(a880,x75431),x75432),f304(a880,x75433,x75434)))+~P24(f333(f333(f250(a880),x75433),x75434))
% 163.24/162.97 [7553]~P21(x75532,x75531,x75533,f333(f173(x75532),x75534))+~P24(f333(f138(x75532),x75534))+P24(f333(f138(x75531),f333(f333(f155(x75532,x75531),x75533),x75534)))
% 163.24/162.97 [7600]~P24(f333(f333(f251(a880),x76002),x76004))+~P24(f333(f333(f251(a880),x76001),x76003))+P24(f333(f333(f251(a880),f333(f333(f81(a880),x76001),x76002)),f333(f333(f81(a880),x76003),x76004)))
% 163.24/162.97 [7601]~P24(f333(f333(f251(a1),x76011),x76013))+~P24(f333(f333(f250(a1),x76012),x76014))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x76011),x76012)),f333(f333(f81(a1),x76013),x76014)))
% 163.24/162.97 [7602]~P24(f333(f333(f250(a880),x76022),x76024))+~P24(f333(f333(f250(a880),x76021),x76023))+P24(f333(f333(f250(a880),f333(f333(f81(a880),x76021),x76022)),f333(f333(f81(a880),x76023),x76024)))
% 163.24/162.97 [7603]~P24(f333(f333(f250(a880),x76032),x76034))+~P24(f333(f333(f250(a880),x76031),x76033))+P24(f333(f333(f250(a880),f333(f333(f82(a880),x76031),x76032)),f333(f333(f82(a880),x76033),x76034)))
% 163.24/162.97 [7651]P24(f333(f333(f335(x76511),x76512),x76513))+~P24(f333(f333(f335(x76511),x76512),f42(f890(x76511,a874),x76514)))+~P24(f333(f333(f335(f890(x76511,a874)),x76513),x76514))
% 163.24/162.97 [7666]~P24(f333(x76661,f578(x76661,x76663,x76662)))+P24(f333(x76661,f333(f333(f166(x76662),x76663),x76664)))+~P24(f333(f333(f251(a880),x76664),f333(f195(f881(x76662)),x76663)))
% 163.24/162.97 [7671]P24(f333(x76711,x76712))+~P24(f333(f333(f335(x76714),x76712),f333(f173(x76714),x76713)))+P24(f333(f333(f251(a880),f579(x76711,x76713,x76714)),f333(f195(f881(x76714)),x76713)))
% 163.24/162.97 [7690]~P24(f333(f333(f201(x76902),x76903),x76904))+~P24(f333(f333(f201(f33(x76901,x76902)),x76904),x76903))+P24(f333(f333(f201(f33(x76901,x76902)),x76903),x76903))
% 163.24/162.97 [7719]~P111(x77191)+~P24(f333(f333(f250(f890(x77192,x77191)),x77194),x77193))+~P24(f333(f333(f251(f890(x77192,x77191)),x77193),x77194))
% 163.24/162.97 [7766]~P24(f333(x77664,x77662))+~P24(f333(f333(f335(x77661),x77662),x77663))+P24(f333(f333(f335(x77661),x77662),f333(f333(f106(f890(x77661,a874)),x77663),f333(f255(x77661),x77664))))
% 163.24/162.97 [7907]~P24(f333(f333(f335(x79071),x79073),x79074))+~P24(f333(f333(f251(f890(x79071,a874)),x79072),x79074))+P24(f333(f333(f251(f890(x79071,a874)),x79072),f333(f333(f311(x79071),x79073),x79074)))
% 163.24/162.97 [7909]E(f333(f333(f106(f890(x79091,a874)),x79092),x79093),f194(f890(x79091,a874)))+~E(f333(f333(f106(f890(x79091,a874)),f41(f890(x79091,a874),x79094)),x79093),f194(f890(x79091,a874)))+~P24(f333(f333(f335(f890(x79091,a874)),x79092),x79094))
% 163.24/162.97 [7979]P24(f333(f333(f335(x79791),x79792),x79793))+~P24(f333(f333(f250(f890(x79791,a874)),x79793),f333(f333(f311(x79791),x79792),x79794)))+P24(f333(f333(f250(f890(x79791,a874)),x79793),x79794))
% 163.24/162.97 [8001]P24(f333(f333(f335(x80012),f578(x80011,x80013,x80012)),f333(f173(x80012),x80013)))+P24(f333(x80011,f333(f333(f166(x80012),x80013),x80014)))+~P24(f333(f333(f251(a880),x80014),f333(f195(f881(x80012)),x80013)))
% 163.24/162.97 [8009]~P24(f333(f333(f251(f890(x80091,a874)),x80092),x80094))+P24(f333(f333(f251(f890(x80091,a874)),x80092),x80093))+~P24(f333(f333(f251(f890(x80091,a874)),x80094),x80093))
% 163.24/162.97 [8010]~P24(f333(f333(f250(f890(x80101,a874)),x80102),x80104))+P24(f333(f333(f251(f890(x80101,a874)),x80102),x80103))+~P24(f333(f333(f251(f890(x80101,a874)),x80104),x80103))
% 163.24/162.97 [8011]~P24(f333(f333(f250(f890(x80111,a874)),x80114),x80113))+~P24(f333(f333(f251(f890(x80111,a874)),x80112),x80114))+P24(f333(f333(f251(f890(x80111,a874)),x80112),x80113))
% 163.24/162.97 [8012]~P24(f333(f333(f250(f890(x80121,a874)),x80122),x80124))+P24(f333(f333(f250(f890(x80121,a874)),x80122),x80123))+~P24(f333(f333(f250(f890(x80121,a874)),x80124),x80123))
% 163.24/162.97 [8058]~P24(f333(f333(f335(x80581),x80584),x80583))+~P24(f333(f333(f251(f890(x80581,a874)),x80582),f333(f333(f311(x80581),x80584),x80583)))+P24(f333(f333(f251(f890(x80581,a874)),x80582),x80583))
% 163.24/162.97 [8068]~P85(x80681)+P24(f333(f333(f251(x80681),x80682),x80683))+~P24(f333(f333(f251(x80681),f333(f333(f81(x80681),x80684),x80682)),f333(f333(f81(x80681),x80684),x80683)))
% 163.24/162.97 [8070]~P85(x80701)+P24(f333(f333(f251(x80701),x80702),x80703))+~P24(f333(f333(f251(x80701),f333(f333(f81(x80701),x80702),x80704)),f333(f333(f81(x80701),x80703),x80704)))
% 163.24/162.97 [8072]~P85(x80721)+P24(f333(f333(f250(x80721),x80722),x80723))+~P24(f333(f333(f250(x80721),f333(f333(f81(x80721),x80724),x80722)),f333(f333(f81(x80721),x80724),x80723)))
% 163.24/162.97 [8074]~P85(x80741)+P24(f333(f333(f250(x80741),x80742),x80743))+~P24(f333(f333(f250(x80741),f333(f333(f81(x80741),x80742),x80744)),f333(f333(f81(x80741),x80743),x80744)))
% 163.24/162.97 [8125]P24(f333(x81251,x81252))+~E(f333(f333(f139(x81253),f333(f195(f881(x81253)),f177(x81253,x81251,x81254))),x81254),f118(x81253))+~P24(f333(f333(f335(x81253),x81252),f333(f173(x81253),x81254)))
% 163.24/162.97 [8249]P24(f333(x82491,x82492))+~P24(f333(f333(f335(x82493),x82492),f333(f173(x82493),x82494)))+P24(f333(f333(f251(a880),f333(f195(f881(x82493)),f333(f137(x82493,x82491),x82494))),f333(f195(f881(x82493)),x82494)))
% 163.24/162.97 [8374]E(x83741,x83742)+P24(f333(f333(f201(x83743),x83741),f492(x83742,x83741,x83743,x83744)))+~P24(f333(f333(f201(f33(x83744,x83743)),x83741),x83742))
% 163.24/162.97 [8399]~P24(f333(x83994,x83992))+P24(f333(f333(f201(x83991),x83992),f492(x83993,x83992,x83991,x83994)))+~P24(f333(f333(f201(f33(x83994,x83991)),x83992),x83993))
% 163.24/162.97 [8713]~P24(f333(x87131,f757(x87131,x87133,x87132,x87134)))+P24(f333(x87131,f333(f333(f166(x87132),x87133),x87134)))+~P24(f333(f333(f251(a880),x87134),f333(f195(f881(x87132)),x87133)))
% 163.24/162.97 [8731]~P21(x87314,x87313,x87311,f258(f890(x87314,a874)))+E(f333(x87311,f836(x87312,x87311,x87313,x87314)),x87312)+~P24(f333(f333(f335(x87313),x87312),f333(f312(x87314,x87313,x87311),f258(f890(x87314,a874)))))
% 163.24/162.97 [8804]E(f177(x88041,x88042,x88043),f333(f333(f174(x88041),x88044),x88043))+P24(f333(f333(f251(a880),f675(x88042,x88043,x88041,x88044)),x88044))+P24(f333(f333(f251(a880),x88044),f333(f195(f881(x88041)),x88043)))
% 163.24/162.97 [8807]E(f177(x88071,x88072,x88073),f333(f333(f174(x88071),x88074),x88073))+P24(f333(f333(f251(a880),f675(x88072,x88073,x88071,x88074)),x88074))+P24(f333(x88072,f333(f333(f166(x88071),x88073),x88074)))
% 163.24/162.97 [8838]P24(f333(x88381,x88382))+~P24(f333(f333(f335(x88384),x88382),f333(f173(x88384),x88383)))+P24(f333(f333(f251(a880),f686(x88382,x88381,x88383,x88384)),f333(f195(f881(x88384)),x88383)))
% 163.24/162.97 [8841]E(f177(x88411,x88412,x88413),f333(f333(f174(x88411),x88414),x88413))+P24(f333(f333(f251(a880),x88414),f333(f195(f881(x88411)),x88413)))+P24(f333(f333(f251(a880),f675(x88412,x88413,x88411,x88414)),f333(f195(f881(x88411)),x88413)))
% 163.24/162.97 [8847]E(f177(x88471,x88472,x88473),f333(f333(f174(x88471),x88474),x88473))+P24(f333(x88472,f333(f333(f166(x88471),x88473),x88474)))+P24(f333(f333(f251(a880),f675(x88472,x88473,x88471,x88474)),f333(f195(f881(x88471)),x88473)))
% 163.24/162.97 [8875]~P123(x88754)+P24(f333(f333(f335(x88751),f380(x88752,x88753,x88751,x88754)),x88753))+P24(f333(f333(f251(x88754),f2(x88754)),f333(f333(f11(x88751,x88754),x88752),x88753)))
% 163.24/162.97 [8876]~P123(x88764)+P24(f333(f333(f335(x88761),f385(x88762,x88763,x88761,x88764)),x88763))+P24(f333(f333(f250(x88764),f2(x88764)),f333(f333(f11(x88761,x88764),x88762),x88763)))
% 163.24/162.97 [8908]~P24(f333(f63(x89081),x89084))+P24(f333(f333(f335(x89081),f628(x89082,x89083,x89084,x89081)),x89084))+P24(f333(f63(f889(x89081,x89083)),f333(f333(f270(x89081,x89083),x89084),x89082)))
% 163.24/162.97 [8942]P24(f333(f333(f335(x89422),f757(x89421,x89423,x89422,x89424)),f333(f173(x89422),x89423)))+P24(f333(x89421,f333(f333(f166(x89422),x89423),x89424)))+~P24(f333(f333(f251(a880),x89424),f333(f195(f881(x89422)),x89423)))
% 163.24/162.97 [8957]E(x89571,x89572)+P24(f333(f333(f201(f33(x89573,x89574)),f492(x89571,x89572,x89574,x89573)),x89571))+~P24(f333(f333(f201(f33(x89573,x89574)),x89572),x89571))
% 163.24/162.97 [8976]~P24(f333(x89761,x89764))+P24(f333(f333(f201(f33(x89761,x89762)),f492(x89763,x89764,x89762,x89761)),x89763))+~P24(f333(f333(f201(f33(x89761,x89762)),x89764),x89763))
% 163.24/162.97 [9058]P24(f333(f333(f250(a880),x90584),f333(f195(f881(x90582)),f177(x90582,x90583,x90581))))+P24(f333(f333(f251(a880),f676(x90581,x90582,x90583,x90584)),x90584))+~P24(f333(f333(f250(a880),x90584),f333(f195(f881(x90582)),x90581)))
% 163.24/162.97 [9172]~E(f333(f333(f178(x91721,x91722),x91723),f720(x91724,x91723,x91722,x91721)),f333(f333(f178(x91721,x91722),x91724),f720(x91724,x91723,x91722,x91721)))+E(f333(f178(x91721,x91722),x91723),f333(f178(x91721,x91722),x91724))+~E(f333(f173(x91721),f333(f333(f155(f889(x91721,x91722),x91721),f262(x91721,x91722)),x91723)),f333(f173(x91721),f333(f333(f155(f889(x91721,x91722),x91721),f262(x91721,x91722)),x91724)))
% 163.24/162.97 [9216]E(f177(x92161,x92162,x92163),f333(f333(f174(x92161),x92164),x92163))+~P24(f333(x92162,f333(f333(f166(x92161),x92163),f675(x92162,x92163,x92161,x92164))))+P24(f333(f333(f251(a880),x92164),f333(f195(f881(x92161)),x92163)))
% 163.24/162.97 [9220]E(f177(x92201,x92202,x92203),f333(f333(f174(x92201),x92204),x92203))+~P24(f333(x92202,f333(f333(f166(x92201),x92203),f675(x92202,x92203,x92201,x92204))))+P24(f333(x92202,f333(f333(f166(x92201),x92203),x92204)))
% 163.24/162.97 [9227]~P24(f333(f63(x92271),x92273))+~P24(f333(f63(x92272),f333(x92274,f628(x92274,x92272,x92273,x92271))))+P24(f333(f63(f889(x92271,x92272)),f333(f333(f270(x92271,x92272),x92273),x92274)))
% 163.24/162.97 [9235]~P123(x92351)+~P24(f333(f333(f251(x92351),f2(x92351)),f333(x92353,f380(x92353,x92354,x92352,x92351))))+P24(f333(f333(f251(x92351),f2(x92351)),f333(f333(f11(x92352,x92351),x92353),x92354)))
% 163.24/162.97 [9236]~P123(x92361)+~P24(f333(f333(f250(x92361),f2(x92361)),f333(x92363,f385(x92363,x92364,x92362,x92361))))+P24(f333(f333(f250(x92361),f2(x92361)),f333(f333(f11(x92362,x92361),x92363),x92364)))
% 163.24/162.97 [9242]~E(f333(f195(f881(x92424)),x92422),f333(f195(f881(x92424)),x92423))+P24(f333(f333(f335(f889(f881(x92424),f881(x92424))),f333(f333(f263(f881(x92424),f881(x92424)),x92423),x92422)),f159(x92424,x92421)))+P24(f333(f333(f251(a880),f587(x92421,x92422,x92423,x92424)),f333(f195(f881(x92424)),x92423)))
% 163.24/162.97 [9299]~P24(f333(x92993,f333(f333(f166(x92992),x92994),f676(x92994,x92992,x92993,x92991))))+P24(f333(f333(f250(a880),x92991),f333(f195(f881(x92992)),f177(x92992,x92993,x92994))))+~P24(f333(f333(f250(a880),x92991),f333(f195(f881(x92992)),x92994)))
% 163.24/162.97 [9381]E(f333(f333(f174(x93811),f611(x93812,x93813,x93814,x93811)),x93813),f333(f333(f174(x93811),f611(x93812,x93813,x93814,x93811)),x93814))+~P24(f333(f333(f335(f889(f881(x93811),f881(x93811))),f333(f333(f263(f881(x93811),f881(x93811)),x93814),x93813)),f148(x93811,x93812)))+P24(f333(f333(f251(a880),f333(f195(f881(x93811)),x93814)),f333(f195(f881(x93811)),x93813)))
% 163.24/162.97 [9428]~P24(f333(f333(f251(a880),f2(a880)),x94283))+~P24(f333(f333(f251(a880),x94284),x94281))+P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),x94281),f46(a880,x94282,x94283))),x94284)),f333(f333(f82(a880),x94281),x94283)))
% 163.24/162.97 [9644]~P111(x96442)+~P24(f333(f333(f250(x96442),f333(x96443,f351(x96444,x96443,x96441,x96442))),f333(x96444,f351(x96444,x96443,x96441,x96442))))+P24(f333(f333(f250(f890(x96441,x96442)),x96443),x96444))
% 163.24/162.97 [9751]~P68(x97511)+E(f333(f333(f8(a880,x97511),f333(f333(f20(a880,x97511,x97511),f333(f333(f10(x97511,f890(x97511,x97511),a880),f3(x97511)),x97512)),f333(f333(f10(a880,x97511,a880),x97512),f333(f333(f9(a880,a880,a880),f81(a880)),f79(a880))))),f304(a880,x97513,x97514)),f333(f333(f3(x97511),f333(x97512,x97513)),f333(x97512,f333(f333(f81(a880),x97514),f79(a880)))))+~P24(f333(f333(f250(a880),x97513),x97514))
% 163.24/162.97 [6813]E(f333(f333(f127(x68131),x68132),x68133),x68134)+~E(x68133,f333(f333(f139(x68131),f333(f195(f881(x68131)),x68132)),x68134))+~E(f333(f333(f174(x68131),f333(f195(f881(x68131)),x68132)),x68134),x68132)
% 163.24/162.97 [6867]~P64(x68672)+E(x68671,f2(x68672))+E(f333(f333(f291(x68672),f333(f333(f264(x68672),x68673),x68674)),f333(f333(f264(x68672),x68671),x68674)),f333(f333(f264(x68672),f333(f333(f291(x68672),x68673),x68671)),x68674))
% 163.24/162.97 [7002]~E(f333(f195(f881(x70021)),x70023),f333(f195(f881(x70022)),x70024))+~P24(f333(f138(x70021),x70023))+E(f184(x70021,x70022,f333(f178(x70021,x70022),f333(f333(f182(x70021,x70022),x70023),x70024))),f333(f173(x70021),x70023))
% 163.24/162.97 [7021]~P102(x70211)+~P24(f333(f333(f251(x70211),x70213),x70214))+P24(f333(f333(f251(x70211),f333(f333(f106(x70211),x70212),x70213)),x70214))
% 163.24/162.97 [7022]~P102(x70221)+~P24(f333(f333(f251(x70221),x70222),x70224))+P24(f333(f333(f251(x70221),f333(f333(f106(x70221),x70222),x70223)),x70224))
% 163.24/162.97 [7024]~P109(x70241)+~P24(f333(f333(f251(x70241),x70243),x70244))+P24(f333(f333(f251(x70241),f333(f333(f248(x70241),x70242),x70243)),x70244))
% 163.24/162.97 [7026]~P109(x70261)+~P24(f333(f333(f251(x70261),x70262),x70264))+P24(f333(f333(f251(x70261),f333(f333(f248(x70261),x70262),x70263)),x70264))
% 163.24/162.97 [7027]~P102(x70271)+~P24(f333(f333(f250(x70271),x70273),x70274))+P24(f333(f333(f250(x70271),f333(f333(f106(x70271),x70272),x70273)),x70274))
% 163.24/162.97 [7028]~P102(x70281)+~P24(f333(f333(f250(x70281),x70282),x70284))+P24(f333(f333(f250(x70281),f333(f333(f106(x70281),x70282),x70283)),x70284))
% 163.24/162.97 [7030]~P109(x70301)+~P24(f333(f333(f250(x70301),x70303),x70304))+P24(f333(f333(f250(x70301),f333(f333(f248(x70301),x70302),x70303)),x70304))
% 163.24/162.97 [7032]~P109(x70321)+~P24(f333(f333(f250(x70321),x70322),x70324))+P24(f333(f333(f250(x70321),f333(f333(f248(x70321),x70322),x70323)),x70324))
% 163.24/162.97 [7052]~P24(f333(x70523,x70524))+~P24(f333(x70522,x70524))+P24(f333(f333(f333(f106(f890(x70521,a874)),x70522),x70523),x70524))
% 163.24/162.97 [7175]P20(x71751,x71752,x71753)+~P20(x71751,x71754,x71753)+~P24(f333(f333(f250(f890(f879(x71751),a874)),x71754),x71752))
% 163.24/162.97 [7176]P20(x71761,x71762,x71763)+~P20(x71761,x71762,x71764)+~P24(f333(f333(f250(f890(f879(x71761),a874)),x71763),x71764))
% 163.24/162.97 [7533]~P69(x75331)+E(f333(f333(f81(x75331),f333(x75332,x75333)),f333(f333(f8(a880,x75331),x75332),f333(f303(a880,f333(a117,x75333)),x75334))),f333(f333(f8(a880,x75331),x75332),f333(f303(a880,x75333),x75334)))+~P24(f333(f333(f251(a880),x75333),x75334))
% 163.24/162.97 [7560]~P109(x75601)+P24(f333(f333(f251(x75601),x75602),x75603))+~P24(f333(f333(f251(x75601),f333(f333(f249(x75601),x75604),x75602)),x75603))
% 163.24/162.97 [7561]~P109(x75611)+P24(f333(f333(f251(x75611),x75612),x75613))+~P24(f333(f333(f251(x75611),f333(f333(f249(x75611),x75612),x75614)),x75613))
% 163.24/162.97 [7563]~P101(x75631)+P24(f333(f333(f250(x75631),x75632),x75633))+~P24(f333(f333(f250(x75631),f333(f333(f115(x75631),x75634),x75632)),x75633))
% 163.24/162.97 [7565]~P101(x75651)+P24(f333(f333(f250(x75651),x75652),x75653))+~P24(f333(f333(f250(x75651),f333(f333(f115(x75651),x75652),x75654)),x75653))
% 163.24/162.97 [7567]~P109(x75671)+P24(f333(f333(f250(x75671),x75672),x75673))+~P24(f333(f333(f250(x75671),f333(f333(f249(x75671),x75674),x75672)),x75673))
% 163.24/162.97 [7569]~P109(x75691)+P24(f333(f333(f250(x75691),x75692),x75693))+~P24(f333(f333(f250(x75691),f333(f333(f249(x75691),x75692),x75694)),x75693))
% 163.24/162.97 [7643]~P24(f333(f333(f335(x76431),x76432),x76434))+P24(f333(f333(f335(x76431),x76432),x76433))+P24(f333(f333(f335(x76431),x76432),f333(f333(f3(f890(x76431,a874)),x76434),x76433)))
% 163.24/162.97 [7725]P24(f333(x77251,x77252))+P24(f333(x77253,x77252))+~P24(f333(f333(f333(f115(f890(x77254,a874)),x77253),x77251),x77252))
% 163.24/162.97 [7735]~P24(f333(f333(f335(x77351),x77352),x77354))+~P24(f333(f333(f335(x77351),x77352),x77353))+P24(f333(f333(f335(x77351),x77352),f333(f333(f106(f890(x77351,a874)),x77353),x77354)))
% 163.24/162.97 [7790]~P101(x77901)+~P24(f333(f63(x77901),x77904))+E(f333(f333(f66(x77901,x77901,f115(x77901)),x77902),f333(f333(f311(x77901),x77903),x77904)),f333(f333(f115(x77901),x77903),f333(f333(f66(x77901,x77901,f115(x77901)),x77902),x77904)))
% 163.24/162.97 [7791]~P102(x77911)+~P24(f333(f63(x77911),x77914))+E(f333(f333(f66(x77911,x77911,f106(x77911)),x77912),f333(f333(f311(x77911),x77913),x77914)),f333(f333(f106(x77911),x77913),f333(f333(f66(x77911,x77911,f106(x77911)),x77912),x77914)))
% 163.24/162.97 [7792]~P109(x77921)+~P24(f333(f63(x77921),x77924))+E(f333(f333(f66(x77921,x77921,f248(x77921)),x77922),f333(f333(f311(x77921),x77923),x77924)),f333(f333(f248(x77921),x77923),f333(f333(f66(x77921,x77921,f248(x77921)),x77922),x77924)))
% 163.24/162.97 [7793]~P109(x77931)+~P24(f333(f63(x77931),x77934))+E(f333(f333(f66(x77931,x77931,f249(x77931)),x77932),f333(f333(f311(x77931),x77933),x77934)),f333(f333(f249(x77931),x77933),f333(f333(f66(x77931,x77931,f249(x77931)),x77932),x77934)))
% 163.24/162.97 [7794]~P106(x77941)+~P95(x77941)+E(f333(f333(f3(x77941),f333(f333(f82(x77941),f333(f108(x77941),x77942)),x77943)),f333(f333(f82(x77941),f333(f108(x77941),x77942)),x77944)),f333(f333(f82(x77941),f333(f108(x77941),x77942)),f333(f333(f3(x77941),x77943),x77944)))
% 163.24/162.97 [7795]~P138(x77951)+~P95(x77951)+E(f333(f333(f81(x77951),f333(f333(f82(x77951),f333(f108(x77951),x77952)),x77953)),f333(f333(f82(x77951),f333(f108(x77951),x77952)),x77954)),f333(f333(f82(x77951),f333(f108(x77951),x77952)),f333(f333(f81(x77951),x77953),x77954)))
% 163.24/162.97 [7905]E(x79051,x79052)+P24(f333(f333(f335(x79053),x79051),f333(f173(x79053),x79054)))+~P24(f333(f333(f335(x79053),x79051),f333(f173(x79053),f333(f333(f152(x79053),x79052),x79054))))
% 163.24/162.97 [7926]~P62(x79261)+~E(f333(f195(f881(x79262)),x79263),f333(f195(f881(x79261)),f57(x79261)))+E(f333(f333(f178(x79261,x79262),f333(f333(f182(x79261,x79262),f57(x79261)),x79263)),x79264),f333(f242(x79262),f673(x79264,x79263,x79262,x79261)))
% 163.24/162.97 [8081]P54(x80811,x80812,x80813)+~P54(x80811,x80812,x80814)+~P24(f333(f333(f250(f890(f889(x80811,x80812),a874)),x80813),x80814))
% 163.24/162.97 [8128]P24(f333(f333(f335(x81281),x81282),x81283))+P24(f333(f333(f335(x81281),x81282),x81284))+~P24(f333(f333(f335(x81281),x81282),f333(f333(f115(f890(x81281,a874)),x81284),x81283)))
% 163.24/162.97 [8139]~P50(x81391,x81394,x81393)+~P24(f333(f333(f335(x81391),x81392),x81394))+P24(f333(f333(f335(f889(x81391,x81391)),f333(f333(f263(x81391,x81391),x81392),x81392)),x81393))
% 163.24/162.97 [8154]~P24(f333(f63(x81542),x81544))+~P24(f333(f63(x81541),x81543))+P24(f333(f63(f889(x81541,x81542)),f333(f333(f270(x81541,x81542),x81543),f333(f18(f890(x81542,a874),x81541),x81544))))
% 163.24/162.97 [8155]~P24(f333(f333(f335(x81551),x81552),x81554))+~P24(f333(f333(f250(f890(x81551,a874)),x81553),x81554))+P24(f333(f333(f250(f890(x81551,a874)),f333(f333(f311(x81551),x81552),x81553)),x81554))
% 163.24/162.97 [8163]~P76(x81632)+~P143(x81632)+E(f333(f333(f11(x81631,x81632),f333(f333(f10(a880,x81632,x81631),f105(x81632)),x81633)),x81634),f333(f105(x81632),f333(f333(f11(x81631,a880),x81633),x81634)))
% 163.24/162.97 [8164]~P76(x81642)+~P140(x81642)+E(f333(f333(f11(x81641,x81642),f333(f333(f10(a1,x81642,x81641),f107(x81642)),x81643)),x81644),f333(f107(x81642),f333(f333(f11(x81641,a1),x81643),x81644)))
% 163.24/162.97 [8191]E(f333(f333(f3(f890(x81911,a874)),x81912),f333(f333(f3(f890(x81911,a874)),x81913),x81914)),x81914)+~P24(f333(f333(f250(f890(x81911,a874)),x81912),x81913))+~P24(f333(f333(f250(f890(x81911,a874)),x81914),x81912))
% 163.24/162.97 [8283]~P24(f333(f63(x82831),x82834))+E(f333(f333(f3(a880),f333(f333(f8(x82831,a880),x82832),x82833)),f333(f333(f8(x82831,a880),x82832),x82834)),f333(f333(f8(x82831,a880),x82832),f333(f333(f3(f890(x82831,a874)),x82833),x82834)))+~P24(f333(f333(f250(f890(x82831,a874)),x82834),x82833))
% 163.24/162.97 [8436]~P6(x84361,x84364,x84363)+~P24(f333(f333(f335(x84361),x84362),x84364))+P24(f333(f333(f335(x84361),x84362),f333(f287(x84361,x84361,x84363),f333(f333(f311(x84361),x84362),f194(f890(x84361,a874))))))
% 163.24/162.97 [8498]~P24(f333(f333(f250(f890(x84981,a874)),x84982),x84983))+~P24(f333(f333(f250(f890(x84981,a874)),x84982),x84984))+P24(f333(f333(f250(f890(x84981,a874)),x84982),f333(f333(f106(f890(x84981,a874)),x84983),x84984)))
% 163.24/162.97 [8597]E(x85971,f194(f890(x85972,a874)))+P24(f333(f63(x85973),x85974))+~P24(f333(f63(f889(x85973,x85972)),f333(f333(f270(x85973,x85972),x85974),f333(f18(f890(x85972,a874),x85973),x85971))))
% 163.24/162.97 [8598]E(x85981,f194(f890(x85982,a874)))+P24(f333(f63(x85983),x85984))+~P24(f333(f63(f889(x85982,x85983)),f333(f333(f270(x85982,x85983),x85981),f333(f18(f890(x85983,a874),x85982),x85984))))
% 163.24/162.97 [8658]P24(f333(f333(f335(x86581),x86582),f322(x86581,x86583)))+~P24(f333(f333(f335(x86581),x86584),f322(x86581,x86583)))+~P24(f333(f333(f335(f889(x86581,x86581)),f333(f333(f263(x86581,x86581),x86582),x86584)),x86583))
% 163.24/162.97 [8708]~P40(x87081,x87084)+P24(f333(f333(f335(f889(x87081,x87081)),f333(f333(f263(x87081,x87081),x87083),x87082)),f309(x87081,x87084)))+P40(x87081,f333(f333(f311(f889(x87081,x87081)),f333(f333(f263(x87081,x87081),x87082),x87083)),x87084))
% 163.24/162.97 [8709]~P57(x87091,x87094)+P24(f333(f333(f335(f889(x87091,x87091)),f333(f333(f263(x87091,x87091),x87093),x87092)),f309(x87091,x87094)))+P57(x87091,f333(f333(f311(f889(x87091,x87091)),f333(f333(f263(x87091,x87091),x87092),x87093)),x87094))
% 163.24/162.97 [8787]~E(x87872,x87873)+~P24(f333(f333(f335(x87871),x87872),f333(f173(x87871),x87874)))+P24(f333(f333(f335(f889(x87871,x87871)),f333(f333(f263(x87871,x87871),x87872),x87873)),f333(f173(f889(x87871,x87871)),f333(f333(f182(x87871,x87871),x87874),x87874))))
% 163.24/162.97 [8873]~E(x88733,x88734)+P24(f333(f333(f272(x88731,x88731,a874),a330),x88732))+~P24(f333(f333(f335(f889(x88731,x88731)),x88732),f333(f173(f889(x88731,x88731)),f333(f333(f182(x88731,x88731),x88733),x88734))))
% 163.24/162.97 [8900]~P24(f333(x89004,x89002))+P24(f333(f333(f333(f333(a203,x89001),x89002),x89003),f494(x89003,x89002,x89001,x89004)))+~P24(f333(f333(f333(f333(a203,f33(x89004,x89001)),x89002),x89003),x89002))
% 163.24/162.97 [8926]P24(f333(f333(f335(f889(f881(x89261),f881(x89261))),f333(f333(f263(f881(x89261),f881(x89261)),x89262),x89263)),f148(x89261,x89264)))+~E(f333(f333(f174(x89261),f333(f195(f881(x89261)),x89262)),x89263),x89262)+~P24(f333(f333(f251(a880),f333(f195(f881(x89261)),x89262)),f333(f195(f881(x89261)),x89263)))
% 163.24/162.97 [9023]~P24(f333(f63(x90231),x90234))+P24(f333(f333(f335(x90231),f536(x90232,x90233,x90234,x90231)),x90234))+P24(f333(f63(x90233),f333(f333(f44(x90231,f890(x90233,a874)),x90234),x90232)))
% 163.24/162.97 [9024]~P24(f333(f63(x90241),x90244))+P24(f333(f333(f335(x90241),f726(x90242,x90243,x90244,x90241)),x90244))+P24(f333(f63(x90243),f333(f333(f44(x90241,f890(x90243,a874)),x90244),x90242)))
% 163.24/162.97 [9096]P24(f333(f333(f335(f889(x90961,x90961)),x90962),f333(f333(f290(x90961,x90961,x90961),x90963),f309(x90961,x90963))))+~P24(f333(f333(f251(a880),f2(a880)),x90964))+~P24(f333(f333(f335(f889(x90961,x90961)),x90962),f333(f333(f189(f889(x90961,x90961),a874),x90964),x90963)))
% 163.24/162.97 [9105]~P40(x91051,x91052)+~P24(f333(f333(f335(f889(x91051,x91051)),f333(f333(f263(x91051,x91051),x91054),x91053)),x91052))+~P24(f333(f333(f335(f889(x91051,x91051)),f333(f333(f263(x91051,x91051),x91053),x91054)),x91052))
% 163.24/162.97 [9234]~P24(f333(f63(x92341),x92344))+E(f333(f333(f8(x92341,a880),f333(f333(f10(f890(x92342,a874),a880,x92341),f39(x92342)),x92343)),x92344),f333(f39(f889(x92341,x92342)),f333(f333(f270(x92341,x92342),x92344),x92343)))+P24(f333(f333(f335(x92341),f632(x92343,x92342,x92344,x92341)),x92344))
% 163.24/162.97 [9238]~P24(f333(f138(x92381),x92382))+P24(f333(f138(x92381),f333(f333(f160(x92381,x92382),x92383),x92384)))+P24(f333(f333(f335(x92381),x92384),f333(f333(f3(f890(x92381,a874)),f333(f173(x92381),x92382)),f333(f333(f311(x92381),f333(f333(f166(x92381),x92382),x92383)),f194(f890(x92381,a874))))))
% 163.24/162.97 [9254]~P24(f333(f63(x92542),x92543))+~P24(f333(f63(x92541),f333(x92544,f536(x92544,x92541,x92543,x92542))))+P24(f333(f63(x92541),f333(f333(f44(x92542,f890(x92541,a874)),x92543),x92544)))
% 163.24/162.97 [9255]~P24(f333(f63(x92552),x92553))+~P24(f333(f63(x92551),f333(x92554,f726(x92554,x92551,x92553,x92552))))+P24(f333(f63(x92551),f333(f333(f44(x92552,f890(x92551,a874)),x92553),x92554)))
% 163.24/162.97 [9337]~P24(f333(f333(f335(f889(x93371,x93371)),x93372),f333(f333(f290(x93371,x93371,x93371),x93374),f309(x93371,x93374))))+P24(f333(f333(f335(f889(x93371,x93371)),x93372),f333(f333(f290(x93371,x93371,x93371),x93373),f309(x93371,x93373))))+~P24(f333(f333(f250(f890(f889(x93371,x93371),a874)),x93374),x93373))
% 163.24/162.97 [9344]E(f333(f333(f174(x93441),f611(x93444,x93443,x93442,x93441)),x93443),f333(f333(f174(x93441),f611(x93444,x93443,x93442,x93441)),x93442))+~P24(f333(f333(f335(f889(f881(x93441),f881(x93441))),f333(f333(f263(f881(x93441),f881(x93441)),x93442),x93443)),f148(x93441,x93444)))+E(f333(f333(f174(x93441),f333(f195(f881(x93441)),x93442)),x93443),x93442)
% 163.24/162.97 [9365]~P24(f333(f63(x93651),x93654))+E(f333(f333(f8(x93651,a880),f333(f333(f10(f890(x93652,a874),a880,x93651),f39(x93652)),x93653)),x93654),f333(f39(f889(x93651,x93652)),f333(f333(f270(x93651,x93652),x93654),x93653)))+~P24(f333(f63(x93652),f333(x93653,f632(x93653,x93652,x93654,x93651))))
% 163.24/162.97 [9370]~E(f333(f195(f881(x93701)),x93703),f333(f195(f881(x93701)),x93702))+P24(f333(f333(f335(f889(f881(x93701),f881(x93701))),f333(f333(f263(f881(x93701),f881(x93701)),x93702),x93703)),f159(x93701,x93704)))+P24(f333(f333(f335(f889(x93701,x93701)),f595(x93704,x93703,x93702,x93701)),f333(f173(f889(x93701,x93701)),f333(f333(f182(x93701,x93701),x93702),x93703))))
% 163.24/162.97 [9438]~P24(f333(f333(f335(f889(f881(x94381),f881(x94381))),f333(f333(f263(f881(x94381),f881(x94381)),x94382),x94383)),f148(x94381,x94384)))+E(f333(f333(f174(x94381),f333(f195(f881(x94381)),x94382)),x94383),x94382)+P24(f333(f333(f251(a880),f611(x94384,x94383,x94382,x94381)),f333(f333(f248(a880),f333(f195(f881(x94381)),x94382)),f333(f195(f881(x94381)),x94383))))
% 163.24/162.97 [9439]E(f333(f178(x94391,x94392),x94393),f333(f178(x94391,x94392),x94394))+~E(f333(f173(x94391),f333(f333(f155(f889(x94391,x94392),x94391),f262(x94391,x94392)),x94393)),f333(f173(x94391),f333(f333(f155(f889(x94391,x94392),x94391),f262(x94391,x94392)),x94394)))+P24(f333(f333(f335(x94391),f720(x94393,x94394,x94392,x94391)),f333(f173(x94391),f333(f333(f155(f889(x94391,x94392),x94391),f262(x94391,x94392)),x94394))))
% 163.24/162.97 [9455]~P24(f333(x94551,x94554))+P24(f333(f333(f333(f333(a203,f33(x94551,x94552)),f494(x94553,x94554,x94552,x94551)),x94553),x94554))+~P24(f333(f333(f333(f333(a203,f33(x94551,x94552)),x94554),x94553),x94554))
% 163.24/162.97 [9460]~P24(f333(f333(f335(f889(f881(x94601),f881(x94601))),f333(f333(f263(f881(x94601),f881(x94601)),x94602),x94603)),f148(x94601,x94604)))+P24(f333(f333(f251(a880),f333(f195(f881(x94601)),x94602)),f333(f195(f881(x94601)),x94603)))+P24(f333(f333(f251(a880),f611(x94604,x94603,x94602,x94601)),f333(f333(f248(a880),f333(f195(f881(x94601)),x94602)),f333(f195(f881(x94601)),x94603))))
% 163.24/162.97 [9797]~P24(f333(f333(f333(x97971,f523(x97971,x97974,x97973,x97972)),f524(x97971,x97974,x97973,x97972)),f525(x97971,x97974,x97973,x97972)))+P24(f333(f333(f333(x97971,x97972),x97973),x97974))+~P24(f333(f321(f889(f890(a1,f884(f881(a329))),f889(a1,a1)),a319),f333(f333(f263(f890(a1,f884(f881(a329))),f889(a1,a1)),x97972),f333(f333(f263(a1,a1),x97973),x97974))))
% 163.24/162.97 [9867]P24(f333(f333(f333(x98671,x98672),x98673),x98674))+P24(f333(f321(f889(f890(a1,f884(f881(a329))),f889(a1,a1)),a319),f333(f333(f263(f890(a1,f884(f881(a329))),f889(a1,a1)),f523(x98671,x98674,x98673,x98672)),f333(f333(f263(a1,a1),f524(x98671,x98674,x98673,x98672)),f525(x98671,x98674,x98673,x98672)))))+~P24(f333(f321(f889(f890(a1,f884(f881(a329))),f889(a1,a1)),a319),f333(f333(f263(f890(a1,f884(f881(a329))),f889(a1,a1)),x98672),f333(f333(f263(a1,a1),x98673),x98674))))
% 163.24/162.97 [9904]~P24(f333(f333(f335(f889(f881(x99041),f881(x99041))),f333(f333(f263(f881(x99041),f881(x99041)),x99042),x99043)),f148(x99041,x99044)))+E(f333(f333(f174(x99041),f333(f195(f881(x99041)),x99042)),x99043),x99042)+P24(f333(f333(f335(f889(x99041,x99041)),f333(f333(f263(x99041,x99041),f333(f333(f166(x99041),x99042),f611(x99044,x99043,x99042,x99041))),f333(f333(f166(x99041),x99043),f611(x99044,x99043,x99042,x99041)))),x99044))
% 163.24/162.97 [9907]~P24(f333(f333(f335(f889(f881(x99071),f881(x99071))),f333(f333(f263(f881(x99071),f881(x99071)),x99072),x99073)),f148(x99071,x99074)))+P24(f333(f333(f251(a880),f333(f195(f881(x99071)),x99072)),f333(f195(f881(x99071)),x99073)))+P24(f333(f333(f335(f889(x99071,x99071)),f333(f333(f263(x99071,x99071),f333(f333(f166(x99071),x99072),f611(x99074,x99073,x99072,x99071))),f333(f333(f166(x99071),x99073),f611(x99074,x99073,x99072,x99071)))),x99074))
% 163.24/162.97 [9951]~E(f333(f195(f881(x99511)),x99512),f333(f195(f881(x99511)),x99513))+P24(f333(f333(f335(f889(f881(x99511),f881(x99511))),f333(f333(f263(f881(x99511),f881(x99511)),x99512),x99513)),f159(x99511,x99514)))+~P24(f333(f333(f335(f889(x99511,x99511)),f333(f333(f263(x99511,x99511),f333(f333(f166(x99511),x99512),f587(x99514,x99513,x99512,x99511))),f333(f333(f166(x99511),x99513),f587(x99514,x99513,x99512,x99511)))),x99514))
% 163.24/162.97 [10088]~P69(x100881)+~P24(f333(f63(x100882),x100884))+E(f333(f167(x100881),f333(f333(f155(x100882,x100881),x100883),f91(f881(x100882),f333(f333(f20(f881(x100882),a874,a874),f333(f333(f10(a874,f890(a874,a874),f881(x100882)),a331),f333(f333(f9(f881(x100882),f890(x100882,a874),a874),f333(f333(f10(f890(x100882,a874),f890(f890(x100882,a874),a874),f881(x100882)),a330),f173(x100882))),x100884))),f138(x100882))))),f240(x100882,x100881,x100883,x100884))
% 163.24/162.97 [7377]~P63(x73772)+E(x73771,f2(x73772))+E(f333(f333(f291(x73772),f333(f333(f81(x73772),x73773),f333(f333(f82(x73772),x73774),x73771))),x73771),f333(f333(f81(x73772),x73774),f333(f333(f291(x73772),x73773),x73771)))
% 163.24/162.97 [7378]~P60(x73782)+E(x73781,f2(x73782))+E(f333(f333(f40(x73782),f333(f333(f81(x73782),x73783),f333(f333(f82(x73782),x73784),x73781))),x73781),f333(f333(f81(x73782),x73784),f333(f333(f40(x73782),x73783),x73781)))
% 163.24/162.97 [7379]~P60(x73792)+E(x73791,f2(x73792))+E(f333(f333(f40(x73792),f333(f333(f81(x73792),x73793),f333(f333(f82(x73792),x73791),x73794))),x73791),f333(f333(f81(x73792),x73794),f333(f333(f40(x73792),x73793),x73791)))
% 163.24/162.97 [7606]~P64(x76062)+E(x76061,f2(x76062))+E(f333(f333(f291(x76062),f333(f333(f3(x76062),x76063),f333(f333(f82(x76062),x76061),x76064))),x76061),f333(f333(f3(x76062),f333(f333(f291(x76062),x76063),x76061)),x76064))
% 163.24/162.97 [7607]~P63(x76072)+E(x76071,f2(x76072))+E(f333(f333(f291(x76072),f333(f333(f81(x76072),x76073),f333(f333(f82(x76072),x76074),x76071))),x76071),f333(f333(f81(x76072),f333(f333(f291(x76072),x76073),x76071)),x76074))
% 163.24/162.97 [7608]~P64(x76082)+E(x76081,f2(x76082))+E(f333(f333(f291(x76082),f333(f333(f81(x76082),x76083),f333(f333(f82(x76082),x76081),x76084))),x76081),f333(f333(f81(x76082),f333(f333(f291(x76082),x76083),x76081)),x76084))
% 163.24/162.97 [8311]~P24(f333(f161(x83111,x83113),x83114))+~P24(f333(f161(x83111,x83112),x83114))+P24(f333(f161(x83111,f333(f333(f106(f890(x83111,a874)),x83112),x83113)),x83114))
% 163.24/162.97 [8670]~E(f333(f333(f290(x86701,x86701,x86701),x86702),x86704),f194(f890(f889(x86701,x86701),a874)))+~E(f333(f333(f290(x86701,x86701,x86701),x86702),x86703),f194(f890(f889(x86701,x86701),a874)))+E(f333(f333(f290(x86701,x86701,x86701),x86702),f333(f333(f115(f890(f889(x86701,x86701),a874)),x86703),x86704)),f194(f890(f889(x86701,x86701),a874)))
% 163.24/162.97 [8788]~P24(f333(f333(f250(f890(x87881,a874)),x87883),x87884))+~P24(f333(f333(f250(f890(x87881,a874)),x87882),x87884))+P24(f333(f333(f250(f890(x87881,a874)),f333(f333(f115(f890(x87881,a874)),x87882),x87883)),x87884))
% 163.24/162.97 [9166]~P24(f333(f63(x91661),x91664))+~P24(f333(f63(x91661),x91663))+E(f333(f333(f3(a880),f333(f333(f81(a880),f333(f333(f8(x91661,a880),x91662),x91663)),f333(f333(f8(x91661,a880),x91662),x91664))),f333(f333(f8(x91661,a880),x91662),f333(f333(f106(f890(x91661,a874)),x91663),x91664))),f333(f333(f8(x91661,a880),x91662),f333(f333(f115(f890(x91661,a874)),x91663),x91664)))
% 163.24/162.97 [9251]~P24(f333(f333(f335(x92511),x92513),x92512))+~P24(f333(f333(f250(f890(x92511,a874)),x92512),f333(f333(f311(x92511),x92513),x92514)))+P24(f333(f333(f250(f890(x92511,a874)),f333(f333(f3(f890(x92511,a874)),x92512),f333(f333(f311(x92511),x92513),f194(f890(x92511,a874))))),x92514))
% 163.24/162.97 [9410]~P24(f333(f333(f335(x94101),x94103),x94102))+P24(f333(f333(f250(f890(x94101,a874)),x94102),f333(f333(f311(x94101),x94103),x94104)))+~P24(f333(f333(f250(f890(x94101,a874)),f333(f333(f3(f890(x94101,a874)),x94102),f333(f333(f311(x94101),x94103),f194(f890(x94101,a874))))),x94104))
% 163.24/162.97 [9515]~P24(f333(f333(f251(a880),x95152),x95154))+~P24(f333(f333(f250(a880),x95151),x95153))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x95151),x95152)),f333(f333(f263(a880,a880),x95153),x95154))),a36))
% 163.24/162.97 [9516]~P24(f333(f333(f250(a880),x95162),x95164))+~P24(f333(f333(f250(a880),x95161),x95163))+P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),f333(f333(f263(a880,a880),x95161),x95162)),f333(f333(f263(a880,a880),x95163),x95164))),a71))
% 163.24/162.97 [9832]~P24(f333(f333(f335(f881(x98321)),x98324),f162(x98321,x98323)))+~P24(f333(f333(f335(f881(x98321)),x98324),f162(x98321,x98322)))+P24(f333(f161(x98321,f333(f333(f106(f890(x98321,a874)),f333(f333(f9(x98321,f890(x98321,a874),a874),f335(x98321)),x98322)),f333(f333(f9(x98321,f890(x98321,a874),a874),f335(x98321)),x98323))),x98324))
% 163.24/162.97 [9925]~P21(x99251,f890(f890(x99251,a874),a874),f333(f333(f9(x99251,f890(f889(x99251,x99251),a874),f890(f890(x99251,a874),a874)),f333(f333(f10(f890(x99251,a874),f890(f890(f889(x99251,x99251),a874),f890(f890(x99251,a874),a874)),x99251),f62(x99251)),f333(f333(f9(x99251,f890(x99251,a874),f890(x99251,a874)),f311(x99251)),f194(f890(x99251,a874))))),x99253),x99252)+~P24(f333(f333(f335(x99251),x99254),x99252))+E(f333(f333(f3(f890(f890(x99251,a874),a874)),f333(f333(f62(x99251),x99252),x99253)),f333(f333(f62(x99251),f333(f333(f311(x99251),x99254),f194(f890(x99251,a874)))),x99253)),f333(f333(f62(x99251),f333(f333(f3(f890(x99251,a874)),x99252),f333(f333(f311(x99251),x99254),f194(f890(x99251,a874))))),x99253))
% 163.24/162.97 [10045]~P50(x100451,x100452,x100454)+~P24(f333(f333(f335(f889(x100451,x100451)),x100453),x100454))+P24(f333(f333(f272(x100451,x100451,a874),f333(f333(f9(x100451,f890(x100451,a874),f890(x100451,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x100451,a874),f890(x100451,a874)),x100451),f10(a874,a874,x100451)),f333(f333(f10(a874,f890(a874,a874),x100451),a331),f333(f333(f9(x100451,f890(x100451,a874),a874),f335(x100451)),x100452)))),f333(f333(f9(x100451,f890(x100451,a874),a874),f335(x100451)),x100452))),x100453))
% 163.24/162.97 [10057]P24(f333(f63(x100571),x100572))+~P24(f333(f63(x100573),f333(f312(x100571,x100573,x100574),x100572)))+~P24(f333(f63(x100571),f333(f255(x100571),f333(f333(f20(x100571,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100571),a331),f333(f333(f9(x100571,f890(x100571,a874),a874),f335(x100571)),x100572))),f333(f333(f9(x100571,x100573,a874),f333(f333(f10(x100573,f890(x100573,a874),x100571),a330),x100574)),f333(x100574,f719(x100574,x100573,x100572,x100571)))))))
% 163.24/162.97 [8063]~P64(x80632)+E(x80631,f2(x80632))+E(f333(f333(f291(x80632),f333(f333(f3(x80632),f333(f333(f82(x80632),x80631),x80633)),x80634)),x80631),f333(f333(f3(x80632),x80633),f333(f333(f291(x80632),x80634),x80631)))
% 163.24/162.97 [8064]~P64(x80642)+E(x80641,f2(x80642))+E(f333(f333(f291(x80642),f333(f333(f81(x80642),f333(f333(f82(x80642),x80641),x80643)),x80644)),x80641),f333(f333(f81(x80642),x80643),f333(f333(f291(x80642),x80644),x80641)))
% 163.24/162.97 [8956]~E(f333(f333(f290(x89561,x89561,x89561),x89563),x89564),f194(f890(f889(x89561,x89561),a874)))+~E(f333(f333(f290(x89561,x89561,x89561),x89562),x89564),f194(f890(f889(x89561,x89561),a874)))+E(f333(f333(f290(x89561,x89561,x89561),f333(f333(f115(f890(f889(x89561,x89561),a874)),x89562),x89563)),x89564),f194(f890(f889(x89561,x89561),a874)))
% 163.24/162.97 [9990]~P145(x99901)+~P145(x99902)+E(f333(f333(f318(x99901),f333(f333(f9(x99901,a104,f884(f881(a329))),f333(f333(f10(f890(x99902,f884(f881(a329))),f890(a104,f884(f881(a329))),x99901),f318(x99902)),f333(f333(f10(f890(x99902,f889(x99901,x99902)),f890(x99902,f884(f881(a329))),x99901),f333(f10(f889(x99901,x99902),f884(f881(a329)),x99902),x99903)),f263(x99901,x99902)))),x99904)),x99904),f333(f333(f318(f889(x99901,x99902)),x99903),x99904))
% 163.24/162.97 [9731]~P24(f333(f161(x97311,x97313),x97314))+~P24(f333(f161(x97311,x97312),x97314))+P24(f333(f161(x97311,f333(f333(f20(x97311,a874,a874),f333(f333(f10(a874,f890(a874,a874),x97311),a331),x97312)),x97313)),x97314))
% 163.24/162.97 [9982]P24(f333(x99821,f570(x99822,x99823,x99821,x99824)))+~P24(f333(f63(x99824),f333(f255(x99824),x99821)))+P24(f333(f63(x99823),f333(f255(x99823),f333(f333(f10(f890(x99824,a874),a874,x99823),f87(x99824)),f333(f333(f10(f890(x99824,a874),f890(x99824,a874),x99823),f333(f20(x99824,a874,a874),f333(f333(f10(a874,f890(a874,a874),x99824),a331),x99821))),x99822)))))
% 163.24/162.97 [10004]~P24(f333(f63(x100042),f333(f255(x100042),x100043)))+~P24(f333(f63(x100041),f333(f255(x100041),f333(f333(f9(x100041,x100042,a874),x100044),f570(x100044,x100041,x100043,x100042)))))+P24(f333(f63(x100041),f333(f255(x100041),f333(f333(f10(f890(x100042,a874),a874,x100041),f87(x100042)),f333(f333(f10(f890(x100042,a874),f890(x100042,a874),x100041),f333(f20(x100042,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100042),a331),x100043))),x100044)))))
% 163.24/162.97 [6539]E(x65391,x65392)+~E(f333(x65393,x65391),f333(x65393,x65392))+~P21(x65394,x65395,x65393,f258(f890(x65394,a874)))
% 163.24/162.97 [6699]~E(f333(x66993,x66995),f197(x66992))+~E(f333(x66994,x66995),f197(x66992))+E(f333(f185(x66991,x66992,x66993,x66994),x66995),f197(x66992))
% 163.24/162.97 [7412]E(x74121,x74122)+~P21(x74123,x74124,x74125,f258(f890(x74123,a874)))+~E(f333(f312(x74123,x74124,x74125),x74121),f333(f312(x74123,x74124,x74125),x74122))
% 163.24/162.97 [7660]P21(x76602,x76603,f353(x76604,x76603,x76602,x76601),x76601)+~E(f333(f312(x76603,x76602,x76605),x76604),x76601)+E(x76601,f194(f890(x76602,a874)))
% 163.24/162.97 [8202]~P24(f333(f333(x82023,x82022),x82025))+~P24(f333(f333(x82023,x82024),x82022))+P24(f333(f333(f335(x82021),x82022),f297(x82021,x82023,x82024,x82025)))
% 163.24/162.97 [8203]~P24(f333(f333(x82033,x82032),x82035))+~P24(f333(f333(x82033,x82034),x82032))+P24(f333(f333(f335(x82031),x82032),f300(x82031,x82033,x82034,x82035)))
% 163.24/162.97 [8746]~P21(x87461,x87463,x87465,f258(f890(x87461,a874)))+~P21(x87463,x87462,x87464,f258(f890(x87463,a874)))+P21(x87461,x87462,f333(f74(x87463,x87462,x87461,x87464),x87465),f258(f890(x87461,a874)))
% 163.24/162.97 [9313]P24(f333(f333(f335(f889(x93131,x93131)),f333(f333(f263(x93131,x93131),x93132),x93133)),f309(x93131,x93134)))+~P24(f333(f333(f335(f889(x93131,x93131)),f333(f333(f263(x93131,x93131),x93132),x93135)),f309(x93131,x93134)))+~P24(f333(f333(f335(f889(x93131,x93131)),f333(f333(f263(x93131,x93131),x93135),x93133)),f309(x93131,x93134)))
% 163.24/162.97 [9351]~P109(x93512)+~P24(f333(f138(x93511),x93515))+P24(f333(f138(x93511),f150(x93511,x93512,x93513,x93514,x93515)))
% 163.24/162.97 [5382]~E(x53822,f118(x53821))+E(f333(f333(f127(x53821),x53822),x53823),f333(f333(f152(x53821),x53824),x53825))+~E(x53823,f333(f333(f152(x53821),x53824),x53825))
% 163.24/162.97 [5383]~E(x53832,f118(x53831))+E(f333(f333(f127(x53831),x53832),x53833),f333(f333(f152(x53831),x53834),x53835))+~E(f333(f333(f152(x53831),x53834),x53835),x53833)
% 163.24/162.97 [6499]~E(f333(f195(f881(x64991)),x64995),f333(f195(f881(x64992)),x64994))+E(f333(f333(f155(f889(x64991,x64992),x64992),f271(x64991,x64992)),x64993),x64994)+~E(f333(f333(f182(x64991,x64992),x64995),x64994),x64993)
% 163.24/162.97 [6500]~E(f333(f195(f881(x65001)),x65004),f333(f195(f881(x65002)),x65005))+E(f333(f333(f155(f889(x65001,x65002),x65001),f262(x65001,x65002)),x65003),x65004)+~E(f333(f333(f182(x65001,x65002),x65004),x65005),x65003)
% 163.24/162.97 [6961]~P109(x69611)+~P31(x69611,f333(f333(f155(x69612,x69611),x69613),x69615))+P31(x69611,f333(f333(f155(x69612,x69611),x69613),f333(f137(x69612,x69614),x69615)))
% 163.24/162.97 [7008]~P24(f333(x70083,x70085))+~P24(f333(f333(x70082,x70084),x70085))+P24(f333(f333(f96(x70081,x70082,x70083),x70084),x70085))
% 163.24/162.97 [7104]~P109(x71041)+P31(x71041,f333(f333(f155(x71042,x71041),x71043),f171(x71042,x71044,x71045)))+~P31(x71041,f333(f333(f155(x71042,x71041),x71043),x71045))
% 163.24/162.97 [7127]~P54(x71273,x71272,x71275)+~P54(x71271,x71273,x71274)+P54(x71271,x71272,f333(f333(f290(x71271,x71273,x71272),x71274),x71275))
% 163.24/162.97 [7219]E(x72191,x72192)+~P21(x72193,x72194,x72195,f258(f890(x72193,a874)))+~E(f333(f333(f155(x72193,x72194),x72195),x72191),f333(f333(f155(x72193,x72194),x72195),x72192))
% 163.24/162.97 [7363]~P24(f333(f333(f251(a880),x73631),f333(x73633,x73635)))+P24(f333(f333(f251(a880),x73631),f156(x73632,x73633,x73634)))+~P24(f333(f333(f335(x73632),x73635),f333(f173(x73632),x73634)))
% 163.24/162.97 [7364]~P24(f333(f333(f250(a880),x73641),f333(x73643,x73645)))+P24(f333(f333(f250(a880),x73641),f156(x73642,x73643,x73644)))+~P24(f333(f333(f335(x73642),x73645),f333(f173(x73642),x73644)))
% 163.24/162.97 [7763]~P110(x77631)+P24(f333(f333(f250(f890(x77631,a874)),f304(x77631,x77632,x77633)),f304(x77631,x77634,x77635)))+P24(f333(f333(f250(x77631),x77632),x77633))
% 163.24/162.97 [7788]~P29(x77881)+P24(f333(f333(f250(x77881),f333(f333(f43(x77882,x77881),x77883),x77884)),f333(x77884,x77885)))+~P24(f333(f333(f335(x77882),x77885),x77883))
% 163.24/162.97 [7856]~P21(x78561,x78562,x78564,x78563)+E(f333(f78(x78561,x78562,x78563,x78564),f333(x78564,x78565)),x78565)+~P24(f333(f333(f335(x78561),x78565),x78563))
% 163.24/162.97 [8053]~P24(f333(x80531,x80535))+P24(f333(x80531,f428(x80531,x80532,x80533,x80534)))+~P24(f333(f333(f335(x80534),x80535),x80533))
% 163.24/162.97 [8054]~P24(f333(x80541,x80545))+P24(f333(x80541,f428(x80541,x80542,x80543,x80544)))+~P24(f333(f333(f335(x80544),x80545),x80542))
% 163.24/162.97 [8152]P24(f333(f63(x81521),x81522))+~P24(f333(f63(x81523),x81524))+~P24(f333(f333(f250(f890(x81521,a874)),x81522),f333(f312(x81523,x81521,x81525),x81524)))
% 163.24/162.97 [8315]E(x83151,x83152)+~P21(x83153,x83154,x83155,f333(f333(f115(f890(x83153,a874)),f333(f173(x83153),x83151)),f333(f173(x83153),x83152)))+~E(f333(f333(f155(x83153,x83154),x83155),x83151),f333(f333(f155(x83153,x83154),x83155),x83152))
% 163.24/162.97 [8367]~P110(x83671)+~P24(f333(f333(f251(f890(x83671,a874)),f304(x83671,x83674,x83675)),f304(x83671,x83672,x83673)))+P24(f333(f333(f250(x83671),x83672),x83673))
% 163.24/162.97 [8434]~P21(x84341,x84344,x84345,f258(f890(x84341,a874)))+~P24(f333(f333(f335(x84344),f333(x84345,x84342)),f333(f312(x84341,x84344,x84345),x84343)))+P24(f333(f333(f335(x84341),x84342),x84343))
% 163.24/162.97 [8510]P24(f333(x85101,x85102))+~P24(f333(x85101,f432(x85101,x85103,x85104,x85105)))+~P24(f333(f333(f335(x85105),x85102),x85104))
% 163.24/162.97 [8511]P24(f333(x85111,x85112))+~P24(f333(x85111,f432(x85111,x85113,x85114,x85115)))+~P24(f333(f333(f335(x85115),x85112),x85113))
% 163.24/162.97 [8785]~P21(x87852,x87853,x87851,x87854)+E(f333(x87851,f333(f78(x87852,x87853,x87854,x87851),x87855)),x87855)+~P24(f333(f333(f335(x87853),x87855),f333(f312(x87852,x87853,x87851),x87854)))
% 163.24/162.97 [8895]E(x88951,f118(x88952))+E(f333(f333(f152(x88952),x88953),f589(x88954,x88953,x88955,x88951,x88952)),x88951)+~E(f333(f333(f127(x88952),x88951),x88955),f333(f333(f152(x88952),x88953),x88954))
% 163.24/162.97 [8896]E(x88961,f118(x88962))+E(f333(f333(f152(x88962),x88963),f590(x88964,x88961,x88965,x88963,x88962)),x88961)+~E(f333(f333(f127(x88962),x88961),x88964),f333(f333(f152(x88962),x88963),x88965))
% 163.24/162.97 [8912]E(f333(f333(f152(x89122),x89123),f589(x89124,x89123,x89121,x89125,x89122)),x89125)+~E(f333(f333(f127(x89122),x89125),x89121),f333(f333(f152(x89122),x89123),x89124))+E(x89121,f333(f333(f152(x89122),x89123),x89124))
% 163.24/162.97 [8913]E(f333(f333(f152(x89131),x89132),f590(x89134,x89135,x89133,x89132,x89131)),x89135)+~E(f333(f333(f127(x89131),x89135),x89134),f333(f333(f152(x89131),x89132),x89133))+E(f333(f333(f152(x89131),x89132),x89133),x89134)
% 163.24/162.97 [8993]~E(f333(f312(x89933,x89932,x89934),f258(f890(x89933,a874))),f258(f890(x89932,a874)))+~E(f333(f312(x89931,x89933,x89935),f258(f890(x89931,a874))),f258(f890(x89933,a874)))+E(f333(f312(x89931,x89932,f333(f74(x89933,x89932,x89931,x89934),x89935)),f258(f890(x89931,a874))),f258(f890(x89932,a874)))
% 163.24/162.97 [9362]E(x93621,f118(x93622))+~E(f333(f333(f127(x93622),x93621),x93623),f333(f333(f152(x93622),x93625),x93624))+E(f333(f333(f127(x93622),f590(x93623,x93621,x93624,x93625,x93622)),x93623),x93624)
% 163.24/162.97 [9363]E(x93631,f118(x93632))+~E(f333(f333(f127(x93632),x93631),x93635),f333(f333(f152(x93632),x93634),x93633))+E(f333(f333(f127(x93632),f589(x93633,x93634,x93635,x93631,x93632)),x93635),x93633)
% 163.24/162.97 [9371]E(f333(f333(f127(x93712),f589(x93714,x93713,x93711,x93715,x93712)),x93711),x93714)+~E(f333(f333(f127(x93712),x93715),x93711),f333(f333(f152(x93712),x93713),x93714))+E(x93711,f333(f333(f152(x93712),x93713),x93714))
% 163.24/162.97 [9372]~E(f333(f333(f127(x93721),x93725),x93724),f333(f333(f152(x93721),x93722),x93723))+E(f333(f333(f127(x93721),f590(x93724,x93725,x93723,x93722,x93721)),x93724),x93723)+E(f333(f333(f152(x93721),x93722),x93723),x93724)
% 163.24/162.97 [9373]E(f333(f333(f127(x93731),x93735),f592(x93733,x93732,x93734,x93735,x93731)),x93732)+E(f333(f333(f127(x93731),x93732),f591(x93733,x93732,x93734,x93735,x93731)),x93735)+~E(f333(f333(f127(x93731),x93735),x93734),f333(f333(f127(x93731),x93732),x93733))
% 163.24/162.97 [9398]~P109(x93981)+P31(x93981,f333(f333(f155(x93982,x93981),x93983),f150(x93982,x93981,x93983,x93984,x93985)))+~P31(x93981,f333(f333(f155(x93982,x93981),x93983),x93985))
% 163.24/162.97 [9407]~P58(x94075,x94071,x94074,x94073)+P24(f333(f333(x94071,x94072),f708(x94073,x94074,x94071,x94075,x94072)))+~P24(f333(f333(f335(x94075),x94072),x94074))
% 163.24/162.97 [9527]~P24(f333(f333(f335(f889(x95271,x95271)),f333(f333(f263(x95271,x95271),x95275),x95273)),f309(x95271,x95274)))+P24(f333(f333(f335(f889(x95271,x95271)),f333(f333(f263(x95271,x95271),x95272),x95273)),f333(f333(f290(x95271,x95271,x95271),x95274),f309(x95271,x95274))))+~P24(f333(f333(f335(f889(x95271,x95271)),f333(f333(f263(x95271,x95271),x95272),x95275)),f333(f333(f290(x95271,x95271,x95271),x95274),f309(x95271,x95274))))
% 163.24/162.97 [9528]~P24(f333(f333(f335(f889(x95281,x95281)),f333(f333(f263(x95281,x95281),x95282),x95285)),f309(x95281,x95284)))+P24(f333(f333(f335(f889(x95281,x95281)),f333(f333(f263(x95281,x95281),x95282),x95283)),f333(f333(f290(x95281,x95281,x95281),x95284),f309(x95281,x95284))))+~P24(f333(f333(f335(f889(x95281,x95281)),f333(f333(f263(x95281,x95281),x95285),x95283)),f333(f333(f290(x95281,x95281,x95281),x95284),f309(x95281,x95284))))
% 163.24/162.97 [9531]P24(f333(f333(f335(f889(f881(x95311),f881(x95311))),f333(f333(f263(f881(x95311),f881(x95311)),x95312),x95313)),f159(x95311,f309(x95311,x95314))))+~P24(f333(f333(f335(f889(f881(x95311),f881(x95311))),f333(f333(f263(f881(x95311),f881(x95311)),x95312),x95315)),f159(x95311,f309(x95311,x95314))))+~P24(f333(f333(f335(f889(f881(x95311),f881(x95311))),f333(f333(f263(f881(x95311),f881(x95311)),x95315),x95313)),f159(x95311,f309(x95311,x95314))))
% 163.24/162.97 [9535]E(f333(f333(f127(x95351),x95352),f591(x95353,x95352,x95354,x95355,x95351)),x95355)+E(f333(f333(f127(x95351),f592(x95353,x95352,x95354,x95355,x95351)),x95353),x95354)+~E(f333(f333(f127(x95351),x95352),x95353),f333(f333(f127(x95351),x95355),x95354))
% 163.24/162.97 [9536]E(f333(f333(f127(x95361),x95362),f592(x95363,x95364,x95365,x95362,x95361)),x95364)+E(f333(f333(f127(x95361),f591(x95363,x95364,x95365,x95362,x95361)),x95365),x95363)+~E(f333(f333(f127(x95361),x95362),x95365),f333(f333(f127(x95361),x95364),x95363))
% 163.24/162.97 [9596]P24(f333(f333(f335(f889(x95961,x95961)),f333(f333(f263(x95961,x95961),x95962),x95963)),f333(f333(f290(x95961,x95961,x95961),x95964),f309(x95961,x95964))))+~P24(f333(f333(f335(f889(x95961,x95961)),f333(f333(f263(x95961,x95961),x95962),x95965)),f333(f333(f290(x95961,x95961,x95961),x95964),f309(x95961,x95964))))+~P24(f333(f333(f335(f889(x95961,x95961)),f333(f333(f263(x95961,x95961),x95965),x95963)),f333(f333(f290(x95961,x95961,x95961),x95964),f309(x95961,x95964))))
% 163.24/162.97 [9627]P37(x96271,x96272,x96273,x96274,x96275)+~E(f333(f195(f881(x96271)),x96274),f333(f195(f881(x96272)),x96275))+~P24(f333(f333(f272(x96271,x96272,a874),x96273),f677(x96275,x96274,x96273,x96272,x96271)))
% 163.24/162.97 [9628]P37(x96281,x96282,x96283,x96284,x96285)+~E(f333(f195(f881(x96281)),x96284),f333(f195(f881(x96282)),x96285))+~P24(f333(f333(f272(x96281,x96282,a874),x96283),f688(x96283,x96285,x96284,x96282,x96281)))
% 163.24/162.97 [9633]E(f333(f333(f127(x96331),f591(x96332,x96333,x96334,x96335,x96331)),x96334),x96332)+~E(f333(f333(f127(x96331),x96333),x96332),f333(f333(f127(x96331),x96335),x96334))+E(f333(f333(f127(x96331),f592(x96332,x96333,x96334,x96335,x96331)),x96332),x96334)
% 163.24/162.97 [9650]~P109(x96502)+E(f333(f333(f149(x96501,x96502,x96503),x96504),x96505),f333(f333(f152(x96501),x96504),x96505))+P24(f333(f333(f335(x96501),f738(x96504,x96503,x96505,x96501,x96502)),f333(f173(x96501),x96505)))
% 163.24/162.97 [9656]~P58(x96561,x96564,x96563,x96562)+~P24(f333(f333(f335(x96561),x96565),x96563))+P24(f333(f333(f335(x96561),f708(x96562,x96563,x96564,x96561,x96565)),x96562))
% 163.24/162.97 [9789]~P24(f333(f333(f335(f889(f890(x97891,a874),f890(x97891,a874))),f333(f333(f263(f890(x97891,a874),f890(x97891,a874)),x97894),x97893)),f325(x97891,x97892)))+~P24(f333(f333(f335(x97891),x97895),x97894))+P24(f333(f333(f335(x97891),f759(x97892,x97893,x97894,x97891,x97895)),x97893))
% 163.24/162.97 [9800]~P109(x98002)+E(f333(f333(f149(x98001,x98002,x98003),x98004),x98005),f333(f333(f152(x98001),x98004),x98005))+~P24(f333(f333(f250(x98002),f333(x98003,x98004)),f333(x98003,f738(x98004,x98003,x98005,x98001,x98002))))
% 163.24/162.97 [9966]P37(x99661,x99662,x99663,x99664,x99665)+~E(f333(f195(f881(x99661)),x99664),f333(f195(f881(x99662)),x99665))+~P24(f333(f333(x99663,f333(f333(f166(x99661),x99664),f689(x99665,x99664,x99663,x99662,x99661))),f333(f333(f166(x99662),x99665),f689(x99665,x99664,x99663,x99662,x99661))))
% 163.24/162.97 [9967]P37(x99671,x99672,x99673,x99674,x99675)+~E(f333(f195(f881(x99671)),x99674),f333(f195(f881(x99672)),x99675))+~P24(f333(f333(x99673,f333(f333(f166(x99671),x99674),f731(x99673,x99675,x99672,x99674,x99671))),f333(f333(f166(x99672),x99675),f731(x99673,x99675,x99672,x99674,x99671))))
% 163.24/162.97 [6567]~P13(x65672,x65675,x65671)+~P24(f333(f63(x65672),x65674))+E(f333(x65671,f333(f333(f311(x65672),x65673),x65674)),f333(f333(f66(x65672,x65672,x65675),x65673),x65674))
% 163.24/162.97 [6568]~E(x65683,x65684)+~E(x65682,x65685)+E(f333(f333(f311(x65681),x65682),f333(f333(f311(x65681),x65683),f194(f890(x65681,a874)))),f333(f333(f311(x65681),x65684),f333(f333(f311(x65681),x65685),f194(f890(x65681,a874)))))
% 163.24/162.97 [6579]P24(f333(x65792,x65795))+E(f177(x65791,x65792,f333(f333(f127(x65791),x65793),x65794)),f177(x65791,x65792,x65793))+~P24(f333(f333(f335(x65791),x65795),f333(f173(x65791),x65793)))
% 163.24/162.97 [6616]E(f333(x66161,x66162),f194(f890(x66163,a874)))+~E(f333(f333(f44(x66164,f890(x66163,a874)),x66165),x66161),f194(f890(x66163,a874)))+~P24(f333(f333(f335(x66164),x66162),x66165))
% 163.24/162.97 [6617]E(f333(x66171,x66172),f258(f890(x66173,a874)))+~E(f333(f333(f43(x66174,f890(x66173,a874)),x66175),x66171),f258(f890(x66173,a874)))+~P24(f333(f333(f335(x66174),x66172),x66175))
% 163.24/162.97 [6909]~P24(f333(f333(f201(x69091),x69093),x69095))+~P24(f333(f333(f201(x69092),x69095),x69094))+P24(f333(f333(f201(f34(x69091,x69092)),x69093),x69094))
% 163.24/162.97 [7114]~E(x71142,x71144)+~P137(x71141)+E(f333(f333(f81(x71141),f333(f333(f82(x71141),x71142),x71143)),f333(f333(f82(x71141),x71144),x71145)),f333(f333(f81(x71141),f333(f333(f82(x71141),x71142),x71145)),f333(f333(f82(x71141),x71144),x71143)))
% 163.24/162.97 [7174]~P29(x71741)+~P24(f333(f333(f335(x71744),x71743),x71745))+P24(f333(f333(f250(x71741),f333(x71742,x71743)),f333(f333(f44(x71744,x71741),x71745),x71742)))
% 163.24/162.97 [7224]~P111(x72241)+P24(f333(f333(f250(x72241),f333(x72242,x72243)),f333(x72244,x72243)))+~P24(f333(f333(f250(f890(x72245,x72241)),x72242),x72244))
% 163.24/162.97 [7332]E(x73321,x73322)+E(x73323,x73321)+~E(f333(f333(f311(x73324),x73321),f333(f333(f311(x73324),x73325),f194(f890(x73324,a874)))),f333(f333(f311(x73324),x73322),f333(f333(f311(x73324),x73323),f194(f890(x73324,a874)))))
% 163.24/162.97 [7333]E(x73331,x73332)+E(x73333,x73331)+~E(f333(f333(f311(x73334),x73333),f333(f333(f311(x73334),x73332),f194(f890(x73334,a874)))),f333(f333(f311(x73334),x73335),f333(f333(f311(x73334),x73331),f194(f890(x73334,a874)))))
% 163.24/162.97 [7334]E(x73341,x73342)+E(x73341,x73343)+~E(f333(f333(f311(x73344),x73343),f333(f333(f311(x73344),x73342),f194(f890(x73344,a874)))),f333(f333(f311(x73344),x73345),f333(f333(f311(x73344),x73341),f194(f890(x73344,a874)))))
% 163.24/162.97 [7335]E(x73351,x73352)+E(x73351,x73353)+~E(f333(f333(f311(x73354),x73351),f333(f333(f311(x73354),x73355),f194(f890(x73354,a874)))),f333(f333(f311(x73354),x73352),f333(f333(f311(x73354),x73353),f194(f890(x73354,a874)))))
% 163.24/162.97 [7861]P21(x78611,x78612,x78613,x78614)+~P21(x78611,x78612,x78613,x78615)+~P24(f333(f333(f250(f890(x78611,a874)),x78614),x78615))
% 163.24/162.97 [7868]~P24(f333(f333(f250(a880),x78685),x78683))+~P24(f333(f333(f333(f333(a203,x78681),x78682),x78685),x78684))+P24(f333(f333(f333(f333(a203,x78681),x78682),x78683),x78684))
% 163.24/162.97 [7959]P24(f333(x79591,x79592))+~P24(f333(f333(f201(x79594),x79592),x79595))+P24(f333(f333(f201(f31(x79591,x79593,x79594)),x79592),x79595))
% 163.24/162.97 [7986]~P24(f333(x79861,x79864))+~P24(f333(f333(f201(x79862),x79864),x79865))+P24(f333(f333(f201(f31(x79861,x79862,x79863)),x79864),x79865))
% 163.24/162.97 [8038]E(x80381,x80382)+~E(f333(f312(x80383,x80384,x80385),x80381),f333(f312(x80383,x80384,x80385),x80382))+~P21(x80383,x80384,x80385,f333(f333(f115(f890(x80383,a874)),x80381),x80382))
% 163.24/162.97 [8117]P24(f333(x81172,x81174))+E(f333(f333(f139(x81171),f333(f195(f881(x81171)),f177(x81171,x81172,x81173))),x81173),f333(f333(f152(x81171),x81174),x81175))+~E(f333(f333(f127(x81171),f177(x81171,x81172,x81173)),f333(f333(f152(x81171),x81174),x81175)),x81173)
% 163.24/162.97 [8149]~P21(x81491,x81492,x81493,x81495)+~P21(x81491,x81492,x81493,x81494)+P21(x81491,x81492,x81493,f333(f333(f106(f890(x81491,a874)),x81494),x81495))
% 163.24/162.97 [8256]~P69(x82561)+E(f333(f333(f81(x82561),f333(x82562,x82563)),f333(f167(x82561),f333(f333(f155(x82564,x82561),x82562),f171(x82564,x82563,x82565)))),f333(f167(x82561),f333(f333(f155(x82564,x82561),x82562),x82565)))+~P24(f333(f333(f335(x82564),x82563),f333(f173(x82564),x82565)))
% 163.24/162.97 [8342]~P109(x83421)+~P31(x83421,f333(f333(f155(x83422,x83421),x83423),x83425))+P31(x83421,f333(f333(f155(x83422,x83421),x83423),f333(f333(f149(x83422,x83421,x83423),x83424),x83425)))
% 163.24/162.97 [8418]P24(f333(x84181,x84182))+P24(f333(f333(f201(x84183),x84182),x84184))+~P24(f333(f333(f201(f31(x84181,x84185,x84183)),x84182),x84184))
% 163.24/162.97 [8429]~P29(x84291)+P24(f333(f333(f250(x84291),f333(f333(f43(x84292,x84291),x84293),x84294)),f333(f333(f43(x84292,x84291),x84295),x84294)))+~P24(f333(f333(f250(f890(x84292,a874)),x84295),x84293))
% 163.24/162.97 [8430]~P29(x84301)+P24(f333(f333(f250(x84301),f333(f333(f44(x84302,x84301),x84303),x84304)),f333(f333(f44(x84302,x84301),x84305),x84304)))+~P24(f333(f333(f250(f890(x84302,a874)),x84303),x84305))
% 163.24/162.97 [8443]~P24(f333(x84434,x84432))+P24(f333(f333(f201(x84431),x84432),x84433))+~P24(f333(f333(f201(f31(x84434,x84431,x84435)),x84432),x84433))
% 163.24/162.97 [8467]~P109(x84673)+P24(f333(f138(x84671),x84672))+~P24(f333(f138(x84671),f333(f333(f149(x84671,x84673,x84674),x84675),x84672)))
% 163.24/162.97 [8477]P24(f333(f333(f201(x84771),x84772),x84773))+P24(f333(f333(f201(x84774),x84772),x84773))+~P24(f333(f333(f201(f31(x84775,x84771,x84774)),x84772),x84773))
% 163.24/162.97 [8608]~P109(x86081)+~P24(f333(f333(f335(x86082),x86083),f333(f173(x86082),x86084)))+~P24(f333(f138(x86082),f333(f333(f149(x86082,x86081,x86085),x86083),x86084)))
% 163.24/162.97 [8680]~P109(x86801)+P31(x86801,f333(f333(f155(x86802,x86801),x86803),x86804))+~P31(x86801,f333(f333(f155(x86802,x86801),x86803),f333(f333(f149(x86802,x86801,x86803),x86805),x86804)))
% 163.24/162.97 [8772]~P109(x87722)+E(f333(f333(f149(x87721,x87722,x87723),x87724),x87725),f150(x87721,x87722,x87723,x87724,x87725))+P24(f333(f333(f335(x87722),f333(x87723,x87724)),f333(f312(x87721,x87722,x87723),f333(f173(x87721),x87725))))
% 163.24/162.97 [8850]~P109(x88502)+E(f150(x88501,x88502,x88503,x88504,x88505),x88505)+~P24(f333(f333(f335(x88502),f333(x88503,x88504)),f333(f312(x88501,x88502,x88503),f333(f173(x88501),x88505))))
% 163.24/162.97 [8867]~P21(x88672,x88671,x88673,x88675)+P24(f333(f333(f251(f890(x88671,a874)),f333(f312(x88672,x88671,x88673),x88674)),f333(f312(x88672,x88671,x88673),x88675)))+~P24(f333(f333(f251(f890(x88672,a874)),x88674),x88675))
% 163.24/162.97 [9030]~P21(x90301,x90302,x90303,f258(f890(x90301,a874)))+~P24(f333(f333(f250(f890(x90302,a874)),x90304),f333(f312(x90301,x90302,x90303),x90305)))+P24(f333(f333(f250(f890(x90301,a874)),f333(f313(x90301,x90302,x90303),x90304)),x90305))
% 163.24/162.97 [9048]~E(f333(f312(x90483,x90481,x90484),f258(f890(x90483,a874))),f258(f890(x90481,a874)))+P24(f333(f333(f250(f890(x90481,a874)),x90482),f333(f312(x90483,x90481,x90484),x90485)))+~P24(f333(f333(f250(f890(x90483,a874)),f333(f313(x90483,x90481,x90484),x90482)),x90485))
% 163.24/162.97 [9065]~E(f333(f242(x90652),x90654),f333(f333(f178(x90651,x90652),x90655),x90653))+~P24(f333(f138(x90651),f333(f333(f155(f889(x90651,x90652),x90651),f262(x90651,x90652)),x90655)))+P24(f333(f333(f335(f889(x90651,x90652)),f333(f333(f263(x90651,x90652),x90653),x90654)),f333(f173(f889(x90651,x90652)),x90655)))
% 163.24/162.97 [9158]~P21(x91581,x91584,x91585,f258(f890(x91581,a874)))+~P24(f333(f333(f250(f890(x91584,a874)),f333(f312(x91581,x91584,x91585),x91582)),f333(f312(x91581,x91584,x91585),x91583)))+P24(f333(f333(f250(f890(x91581,a874)),x91582),x91583))
% 163.24/162.97 [9221]E(f333(f242(x92211),x92212),f333(f333(f178(x92213,x92211),x92214),x92215))+~P24(f333(f138(x92213),f333(f333(f155(f889(x92213,x92211),x92213),f262(x92213,x92211)),x92214)))+~P24(f333(f333(f335(f889(x92213,x92211)),f333(f333(f263(x92213,x92211),x92215),x92212)),f333(f173(f889(x92213,x92211)),x92214)))
% 163.24/162.97 [9223]E(f333(f333(f178(x92231,x92232),x92233),x92234),f333(f242(x92232),x92235))+~P24(f333(f138(x92231),f333(f333(f155(f889(x92231,x92232),x92231),f262(x92231,x92232)),x92233)))+~P24(f333(f333(f335(f889(x92231,x92232)),f333(f333(f263(x92231,x92232),x92234),x92235)),f333(f173(f889(x92231,x92232)),x92233)))
% 163.24/162.97 [9281]~P84(x92811)+~E(f333(x92813,f663(x92813,x92814,x92815,x92812,x92811)),f2(x92811))+E(f333(f167(x92811),f333(f333(f155(x92812,x92811),x92813),f333(f137(x92812,x92814),x92815))),f333(f167(x92811),f333(f333(f155(x92812,x92811),x92813),x92815)))
% 163.24/162.97 [9454]~P12(x94541,x94542,x94543)+~P24(f333(f63(x94541),x94545))+P24(f333(f68(x94541,x94542,x94543,x94544,x94545),f333(f333(f66(x94541,x94542,x94543),x94544),x94545)))
% 163.24/162.97 [9548]P24(f333(x95481,f804(x95482,x95481,x95483,x95484,x95485)))+~P24(f333(f333(f250(f890(x95485,a874)),x95484),x95483))+P24(f333(f333(f250(f890(x95485,a874)),f333(f333(f106(f890(x95485,a874)),x95484),f333(f255(x95485),x95481))),f333(f333(f106(f890(x95485,a874)),x95483),f333(f255(x95485),x95482))))
% 163.24/162.97 [9562]~P84(x95621)+~P24(f333(x95624,f663(x95623,x95624,x95625,x95622,x95621)))+E(f333(f167(x95621),f333(f333(f155(x95622,x95621),x95623),f333(f137(x95622,x95624),x95625))),f333(f167(x95621),f333(f333(f155(x95622,x95621),x95623),x95625)))
% 163.24/162.97 [9654]~P29(x96545)+P24(f333(f333(f335(x96541),f529(x96542,x96543,x96541,x96544,x96545)),x96543))+P24(f333(f333(f250(x96545),x96544),f333(f333(f43(x96541,x96545),x96543),x96542)))
% 163.24/162.97 [9657]~P84(x96571)+E(f333(f167(x96571),f333(f333(f155(x96572,x96571),x96573),f333(f137(x96572,x96574),x96575))),f333(f167(x96571),f333(f333(f155(x96572,x96571),x96573),x96575)))+P24(f333(f333(f335(x96572),f663(x96573,x96574,x96575,x96572,x96571)),f333(f173(x96572),x96575)))
% 163.24/162.97 [9664]~P24(f333(x96645,f804(x96645,x96643,x96644,x96642,x96641)))+~P24(f333(f333(f250(f890(x96641,a874)),x96642),x96644))+P24(f333(f333(f250(f890(x96641,a874)),f333(f333(f106(f890(x96641,a874)),x96642),f333(f255(x96641),x96643))),f333(f333(f106(f890(x96641,a874)),x96644),f333(f255(x96641),x96645))))
% 163.24/162.97 [9699]P37(x96991,x96992,x96993,x96994,x96995)+~E(f333(f195(f881(x96992)),x96995),f333(f195(f881(x96991)),x96994))+P24(f333(f333(f251(a880),f689(x96995,x96994,x96993,x96992,x96991)),f333(f195(f881(x96991)),x96994)))
% 163.24/162.97 [9700]P37(x97001,x97002,x97003,x97004,x97005)+~E(f333(f195(f881(x97002)),x97005),f333(f195(f881(x97001)),x97004))+P24(f333(f333(f251(a880),f731(x97003,x97005,x97002,x97004,x97001)),f333(f195(f881(x97001)),x97004)))
% 163.24/162.97 [9733]P24(f333(f333(f335(x97331),f804(x97332,x97333,x97334,x97335,x97331)),x97335))+~P24(f333(f333(f250(f890(x97331,a874)),x97335),x97334))+P24(f333(f333(f250(f890(x97331,a874)),f333(f333(f106(f890(x97331,a874)),x97335),f333(f255(x97331),x97333))),f333(f333(f106(f890(x97331,a874)),x97334),f333(f255(x97331),x97332))))
% 163.24/162.97 [9801]~P29(x98011)+~P24(f333(f333(f250(x98011),x98012),f333(x98015,f529(x98015,x98014,x98013,x98012,x98011))))+P24(f333(f333(f250(x98011),x98012),f333(f333(f43(x98013,x98011),x98014),x98015)))
% 163.24/162.97 [9830]~P76(x98301)+~P24(f333(f63(x98302),x98305))+E(f333(f333(f333(f67(x98301,x98302,f82(x98301)),f333(f333(f20(x98302,x98301,x98301),f333(f333(f10(x98301,f890(x98301,x98301),x98302),f82(x98301)),x98303)),x98304)),f79(x98301)),x98305),f333(f333(f82(x98301),f333(f333(f333(f67(x98301,x98302,f82(x98301)),x98303),f79(x98301)),x98305)),f333(f333(f333(f67(x98301,x98302,f82(x98301)),x98304),f79(x98301)),x98305)))
% 163.24/162.97 [9888]~P24(f333(f333(f335(f889(f890(x98881,a874),f890(x98881,a874))),f333(f333(f263(f890(x98881,a874),f890(x98881,a874)),x98885),x98884)),f325(x98881,x98883)))+~P24(f333(f333(f335(x98881),x98882),x98885))+P24(f333(f333(f335(f889(x98881,x98881)),f333(f333(f263(x98881,x98881),x98882),f759(x98883,x98884,x98885,x98881,x98882))),x98883))
% 163.24/162.97 [9999]~P24(f333(f333(f335(f889(f881(x99991),f881(x99991))),f333(f333(f263(f881(x99991),f881(x99991)),f333(f333(f127(x99991),x99995),x99992)),f333(f333(f127(x99991),x99995),x99993))),f148(x99991,x99994)))+P24(f333(f333(f335(f889(f881(x99991),f881(x99991))),f333(f333(f263(f881(x99991),f881(x99991)),x99992),x99993)),f148(x99991,x99994)))+P24(f333(f333(f335(f889(x99991,x99991)),f333(f333(f263(x99991,x99991),f619(x99994,x99993,x99992,x99995,x99991)),f619(x99994,x99993,x99992,x99995,x99991))),x99994))
% 163.24/162.97 [7154]~E(f333(f195(f881(x71541)),x71543),f333(f195(f881(x71542)),x71544))+E(f333(f333(f178(x71541,x71542),f333(f333(f182(x71541,x71542),x71543),x71544)),x71545),f197(x71542))+P24(f333(f333(f335(x71541),x71545),f333(f173(x71541),x71543)))
% 163.24/162.97 [7227]~E(x72273,x72275)+E(f333(f333(f166(x72271),f333(f333(f160(x72271,x72272),x72273),x72274)),x72275),x72274)+~P24(f333(f333(f251(a880),x72273),f333(f195(f881(x72271)),x72272)))
% 163.24/162.97 [7327]~E(f333(f333(f127(x73271),x73272),x73274),f333(f333(f127(x73271),x73273),x73275))+E(f333(f333(f174(x73271),f333(f195(f881(x73271)),x73272)),x73273),x73272)+P24(f333(f333(f250(a880),f333(f195(f881(x73271)),x73273)),f333(f195(f881(x73271)),x73272)))
% 163.24/162.97 [7344]~E(x73445,x73442)+P24(f333(x73441,x73442))+P24(f333(f333(f333(f333(a203,f33(x73441,x73443)),x73442),x73444),x73445))
% 163.24/162.97 [7827]~E(f333(f333(f127(x78271),x78272),x78274),f333(f333(f127(x78271),x78273),x78275))+E(f333(f333(f174(x78271),f333(f195(f881(x78271)),x78272)),x78273),x78272)+~P24(f333(f333(f250(a880),f333(f195(f881(x78271)),x78272)),f333(f195(f881(x78271)),x78273)))
% 163.24/162.97 [7851]~P24(f333(f63(x78511),f333(x78514,x78515)))+~P24(f333(f333(f335(x78512),x78515),x78513))+P24(f333(f63(x78511),f333(f333(f43(x78512,f890(x78511,a874)),x78513),x78514)))
% 163.24/162.97 [7899]~E(f333(f195(f881(x78991)),x78992),f333(f195(f881(x78993)),x78994))+~E(f333(f333(f178(x78991,x78993),f333(f333(f182(x78991,x78993),x78992),x78994)),x78995),f197(x78993))+~P24(f333(f333(f335(x78991),x78995),f333(f173(x78991),x78992)))
% 163.24/162.97 [8022]~P50(x80221,x80223,x80225)+~P50(x80221,x80222,x80224)+P50(x80221,f333(f333(f115(f890(x80221,a874)),x80222),x80223),f333(f333(f115(f890(f889(x80221,x80221),a874)),x80224),x80225))
% 163.24/162.97 [8023]~P50(x80231,x80233,x80235)+~P50(x80231,x80232,x80234)+P50(x80231,f333(f333(f106(f890(x80231,a874)),x80232),x80233),f333(f333(f106(f890(f889(x80231,x80231),a874)),x80234),x80235))
% 163.24/162.97 [8111]E(x81111,x81112)+P24(f333(x81113,x81111))+~P24(f333(f333(f333(f333(a203,f33(x81113,x81114)),x81111),x81115),x81112))
% 163.24/162.97 [8382]E(f333(f333(f263(x83821,x83822),f333(f333(f166(x83821),x83823),x83824)),f333(f333(f166(x83822),x83825),x83824)),f333(f333(f166(f889(x83821,x83822)),f333(f333(f182(x83821,x83822),x83823),x83825)),x83824))+~P24(f333(f333(f251(a880),x83824),f333(f195(f881(x83821)),x83823)))+~P24(f333(f333(f251(a880),x83824),f333(f195(f881(x83822)),x83825)))
% 163.24/162.97 [8543]~P50(x85431,x85433,x85434)+P24(f333(f333(f335(x85431),x85432),x85433))+~P24(f333(f333(f335(f889(x85431,x85431)),f333(f333(f263(x85431,x85431),x85435),x85432)),x85434))
% 163.24/162.97 [8544]~P50(x85441,x85443,x85444)+P24(f333(f333(f335(x85441),x85442),x85443))+~P24(f333(f333(f335(f889(x85441,x85441)),f333(f333(f263(x85441,x85441),x85442),x85445)),x85444))
% 163.24/162.97 [8545]~P6(x85451,x85453,x85454)+P24(f333(f333(f335(x85451),x85452),x85453))+~P24(f333(f333(f335(f889(x85451,x85451)),f333(f333(f263(x85451,x85451),x85455),x85452)),x85454))
% 163.24/162.97 [8546]~P6(x85461,x85463,x85464)+P24(f333(f333(f335(x85461),x85462),x85463))+~P24(f333(f333(f335(f889(x85461,x85461)),f333(f333(f263(x85461,x85461),x85462),x85465)),x85464))
% 163.24/162.97 [8797]~P6(x87971,x87975,x87972)+E(f333(f287(x87971,x87971,x87972),f333(f333(f311(x87971),x87973),f194(f890(x87971,a874)))),f333(f287(x87971,x87971,x87972),f333(f333(f311(x87971),x87974),f194(f890(x87971,a874)))))+~P24(f333(f333(f335(f889(x87971,x87971)),f333(f333(f263(x87971,x87971),x87973),x87974)),x87972))
% 163.24/162.97 [8882]~P24(f333(f333(f333(f333(a203,x88822),x88823),x88824),x88825))+~P24(f333(f333(f333(f333(a203,f33(x88821,x88822)),x88825),x88824),x88823))+P24(f333(f333(f333(f333(a203,f33(x88821,x88822)),x88823),x88824),x88823))
% 163.24/162.97 [8990]P24(f333(x89901,x89902))+~P24(f333(f333(f335(x89903),x89902),x89905))+P24(f333(f333(f335(x89903),f432(x89901,x89904,x89905,x89903)),f333(f333(f115(f890(x89903,a874)),x89905),x89904)))
% 163.24/162.97 [8991]P24(f333(x89911,x89912))+~P24(f333(f333(f335(x89913),x89912),x89914))+P24(f333(f333(f335(x89913),f432(x89911,x89914,x89915,x89913)),f333(f333(f115(f890(x89913,a874)),x89915),x89914)))
% 163.24/162.97 [8999]~P24(f333(x89992,x89995))+~P24(f333(f333(f335(x89991),x89995),x89994))+P24(f333(f333(f335(x89991),f428(x89992,x89993,x89994,x89991)),f333(f333(f115(f890(x89991,a874)),x89994),x89993)))
% 163.24/162.97 [9000]~P24(f333(x90002,x90005))+~P24(f333(f333(f335(x90001),x90005),x90003))+P24(f333(f333(f335(x90001),f428(x90002,x90003,x90004,x90001)),f333(f333(f115(f890(x90001,a874)),x90004),x90003)))
% 163.24/162.97 [9015]~P24(f333(f333(f250(f890(x90151,a874)),x90153),x90155))+~P24(f333(f333(f250(f890(x90151,a874)),x90152),x90154))+P24(f333(f333(f250(f890(x90151,a874)),f333(f333(f115(f890(x90151,a874)),x90152),x90153)),f333(f333(f115(f890(x90151,a874)),x90154),x90155)))
% 163.24/162.97 [9016]~P24(f333(f333(f250(f890(x90161,a874)),x90165),x90163))+~P24(f333(f333(f250(f890(x90161,a874)),x90162),x90164))+P24(f333(f333(f250(f890(x90161,a874)),f333(f333(f3(f890(x90161,a874)),x90162),x90163)),f333(f333(f3(f890(x90161,a874)),x90164),x90165)))
% 163.24/162.97 [9017]~P24(f333(f333(f250(f890(x90171,a874)),x90173),x90175))+~P24(f333(f333(f250(f890(x90171,a874)),x90172),x90174))+P24(f333(f333(f250(f890(x90171,a874)),f333(f333(f106(f890(x90171,a874)),x90172),x90173)),f333(f333(f106(f890(x90171,a874)),x90174),x90175)))
% 163.24/162.97 [9095]~E(f333(f195(f881(x90951)),x90953),f333(f195(f881(x90952)),x90954))+E(f333(f333(f178(x90951,x90952),f333(f333(f182(x90951,x90952),x90953),x90954)),x90955),f333(f242(x90952),f576(x90955,x90954,x90952,x90953,x90951)))+~P24(f333(f333(f335(x90951),x90955),f333(f173(x90951),x90953)))
% 163.24/162.97 [9100]P24(f333(f333(f335(f889(x91001,x91001)),f333(f333(f263(x91001,x91001),x91002),x91003)),f327(x91001,x91004,x91005)))+~P24(f333(f333(f250(a880),f333(x91004,x91002)),f333(x91004,x91003)))+~P24(f333(f333(f335(f889(x91001,x91001)),f333(f333(f263(x91001,x91001),x91002),x91003)),x91005))
% 163.24/162.97 [9296]P24(f333(f333(f335(f889(x92961,x92961)),f333(f333(f263(x92961,x92961),x92962),x92963)),f309(x92961,x92964)))+~P24(f333(f333(f335(f889(x92961,x92961)),f333(f333(f263(x92961,x92961),x92962),x92965)),f309(x92961,x92964)))+~P24(f333(f333(f335(f889(x92961,x92961)),f333(f333(f263(x92961,x92961),x92965),x92963)),x92964))
% 163.24/162.97 [9297]P24(f333(f333(f335(f889(x92971,x92971)),f333(f333(f263(x92971,x92971),x92972),x92973)),f309(x92971,x92974)))+~P24(f333(f333(f335(f889(x92971,x92971)),f333(f333(f263(x92971,x92971),x92975),x92973)),f309(x92971,x92974)))+~P24(f333(f333(f335(f889(x92971,x92971)),f333(f333(f263(x92971,x92971),x92972),x92975)),x92974))
% 163.24/162.97 [9391]E(x93911,x93912)+E(f333(a117,f774(x93913,x93914,x93911,x93912,x93915)),x93914)+~P24(f333(f333(f335(f889(x93915,x93915)),f333(f333(f263(x93915,x93915),x93912),x93911)),f333(f333(f189(f889(x93915,x93915),a874),x93914),x93913)))
% 163.24/162.97 [9392]E(x93921,x93922)+E(f333(a117,f776(x93923,x93924,x93921,x93922,x93925)),x93924)+~P24(f333(f333(f335(f889(x93925,x93925)),f333(f333(f263(x93925,x93925),x93922),x93921)),f333(f333(f189(f889(x93925,x93925),a874),x93924),x93923)))
% 163.24/162.97 [9393]E(x93931,f2(a880))+E(f333(a117,f774(x93932,x93931,x93933,x93934,x93935)),x93931)+~P24(f333(f333(f335(f889(x93935,x93935)),f333(f333(f263(x93935,x93935),x93934),x93933)),f333(f333(f189(f889(x93935,x93935),a874),x93931),x93932)))
% 163.24/162.97 [9394]E(x93941,f2(a880))+E(f333(a117,f776(x93942,x93941,x93943,x93944,x93945)),x93941)+~P24(f333(f333(f335(f889(x93945,x93945)),f333(f333(f263(x93945,x93945),x93944),x93943)),f333(f333(f189(f889(x93945,x93945),a874),x93941),x93942)))
% 163.24/162.97 [9406]P24(f333(f333(f335(f889(x94061,x94061)),f333(f333(f263(x94061,x94061),x94062),x94063)),f333(f333(f290(x94061,x94061,x94061),x94064),f309(x94061,x94064))))+~P24(f333(f333(f335(f889(x94061,x94061)),f333(f333(f263(x94061,x94061),x94062),x94065)),x94064))+~P24(f333(f333(f335(f889(x94061,x94061)),f333(f333(f263(x94061,x94061),x94065),x94063)),x94064))
% 163.24/162.97 [9411]~P24(f333(f333(f335(f889(x94111,x94111)),f333(f333(f263(x94111,x94111),x94112),x94115)),f309(x94111,x94114)))+P24(f333(f333(f335(f889(x94111,x94111)),f333(f333(f263(x94111,x94111),x94112),x94113)),f333(f333(f290(x94111,x94111,x94111),x94114),f309(x94111,x94114))))+~P24(f333(f333(f335(f889(x94111,x94111)),f333(f333(f263(x94111,x94111),x94115),x94113)),x94114))
% 163.24/162.97 [9450]~P6(x94501,x94505,x94502)+~P24(f333(f333(f335(f889(x94501,x94501)),f333(f333(f263(x94501,x94501),x94503),x94504)),x94502))+P24(f333(f333(f250(f890(x94501,a874)),f333(f287(x94501,x94501,x94502),f333(f333(f311(x94501),x94503),f194(f890(x94501,a874))))),f333(f287(x94501,x94501,x94502),f333(f333(f311(x94501),x94504),f194(f890(x94501,a874))))))
% 163.24/162.97 [9476]E(x94761,x94762)+P24(f333(f333(f333(f333(a203,x94763),x94761),x94764),f495(x94762,x94764,x94761,x94763,x94765)))+~P24(f333(f333(f333(f333(a203,f33(x94765,x94763)),x94761),x94764),x94762))
% 163.24/162.97 [9479]~P24(f333(x94795,x94792))+P24(f333(f333(f333(f333(a203,x94791),x94792),x94793),f495(x94794,x94793,x94792,x94791,x94795)))+~P24(f333(f333(f333(f333(a203,f33(x94795,x94791)),x94792),x94793),x94794))
% 163.24/162.97 [9520]P24(f333(f333(f335(f889(x95201,x95201)),f333(f333(f263(x95201,x95201),x95202),x95203)),f333(f333(f290(x95201,x95201,x95201),x95204),f309(x95201,x95204))))+~P24(f333(f333(f335(f889(x95201,x95201)),f333(f333(f263(x95201,x95201),x95202),x95205)),f333(f333(f290(x95201,x95201,x95201),x95204),f309(x95201,x95204))))+~P24(f333(f333(f335(f889(x95201,x95201)),f333(f333(f263(x95201,x95201),x95205),x95203)),x95204))
% 163.24/162.97 [9521]P24(f333(f333(f335(f889(x95211,x95211)),f333(f333(f263(x95211,x95211),x95212),x95213)),f333(f333(f290(x95211,x95211,x95211),x95214),f309(x95211,x95214))))+~P24(f333(f333(f335(f889(x95211,x95211)),f333(f333(f263(x95211,x95211),x95215),x95213)),f333(f333(f290(x95211,x95211,x95211),x95214),f309(x95211,x95214))))+~P24(f333(f333(f335(f889(x95211,x95211)),f333(f333(f263(x95211,x95211),x95212),x95215)),x95214))
% 163.24/162.97 [9569]~P24(f333(f68(x95691,x95691,x95694,x95692,x95693),x95695))+P24(f333(f333(f335(x95691),x95692),x95693))+P24(f333(f64(x95691,x95694,f333(f333(f311(x95691),x95692),x95693)),x95695))
% 163.24/162.97 [9616]~E(f333(f312(x96163,x96162,x96165),x96164),x96161)+E(x96161,f194(f890(x96162,a874)))+P24(f333(f333(f250(f890(x96163,a874)),f333(f312(x96162,x96163,f353(x96164,x96163,x96162,x96161)),x96161)),x96164))
% 163.24/162.97 [9667]~P29(x96675)+P24(f333(f333(f335(x96671),f541(x96672,x96673,x96674,x96671,x96675)),x96674))+P24(f333(f333(f250(x96675),f333(f333(f44(x96671,x96675),x96674),x96673)),x96672))
% 163.24/162.97 [9719]P37(x97191,x97192,x97193,x97194,x97195)+~E(f333(f195(f881(x97191)),x97194),f333(f195(f881(x97192)),x97195))+P24(f333(f333(f335(f889(x97191,x97192)),f677(x97195,x97194,x97193,x97192,x97191)),f333(f173(f889(x97191,x97192)),f333(f333(f182(x97191,x97192),x97194),x97195))))
% 163.24/162.97 [9720]P37(x97201,x97202,x97203,x97204,x97205)+~E(f333(f195(f881(x97201)),x97204),f333(f195(f881(x97202)),x97205))+P24(f333(f333(f335(f889(x97201,x97202)),f688(x97203,x97205,x97204,x97202,x97201)),f333(f173(f889(x97201,x97202)),f333(f333(f182(x97201,x97202),x97204),x97205))))
% 163.24/162.97 [9856]E(x98561,x98562)+P24(f333(f333(f333(f333(a203,f33(x98563,x98564)),f495(x98561,x98565,x98562,x98564,x98563)),x98565),x98561))+~P24(f333(f333(f333(f333(a203,f33(x98563,x98564)),x98562),x98565),x98561))
% 163.24/162.97 [9858]~P24(f333(x98581,x98585))+P24(f333(f333(f333(f333(a203,f33(x98581,x98582)),f495(x98583,x98584,x98585,x98582,x98581)),x98584),x98583))+~P24(f333(f333(f333(f333(a203,f33(x98581,x98582)),x98585),x98584),x98583))
% 163.24/162.97 [9865]E(x98651,x98652)+P24(f333(f333(f335(f889(x98653,x98653)),f333(f333(f263(x98653,x98653),x98651),f775(x98654,x98655,x98652,x98651,x98653))),x98654))+~P24(f333(f333(f335(f889(x98653,x98653)),f333(f333(f263(x98653,x98653),x98651),x98652)),f333(f333(f189(f889(x98653,x98653),a874),x98655),x98654)))
% 163.24/162.97 [9866]E(x98661,f2(a880))+P24(f333(f333(f335(f889(x98662,x98662)),f333(f333(f263(x98662,x98662),x98663),f775(x98664,x98661,x98665,x98663,x98662))),x98664))+~P24(f333(f333(f335(f889(x98662,x98662)),f333(f333(f263(x98662,x98662),x98663),x98665)),f333(f333(f189(f889(x98662,x98662),a874),x98661),x98664)))
% 163.24/162.97 [9908]~P29(x99081)+~P24(f333(f333(f250(x99081),f333(x99084,f541(x99085,x99084,x99083,x99082,x99081))),x99085))+P24(f333(f333(f250(x99081),f333(f333(f44(x99082,x99081),x99083),x99084)),x99085))
% 163.24/162.97 [9933]E(x99331,x99332)+P24(f333(f333(f335(f889(x99333,x99333)),f333(f333(f263(x99333,x99333),f777(x99334,x99335,x99331,x99332,x99333)),x99331)),x99334))+~P24(f333(f333(f335(f889(x99333,x99333)),f333(f333(f263(x99333,x99333),x99332),x99331)),f333(f333(f189(f889(x99333,x99333),a874),x99335),x99334)))
% 163.24/162.97 [9934]E(x99341,f2(a880))+P24(f333(f333(f335(f889(x99342,x99342)),f333(f333(f263(x99342,x99342),f777(x99343,x99341,x99344,x99345,x99342)),x99344)),x99343))+~P24(f333(f333(f335(f889(x99342,x99342)),f333(f333(f263(x99342,x99342),x99345),x99344)),f333(f333(f189(f889(x99342,x99342),a874),x99341),x99343)))
% 163.24/162.97 [9944]E(x99441,x99442)+P24(f333(f333(f335(f889(x99443,x99443)),f333(f333(f263(x99443,x99443),x99441),f777(x99444,x99445,x99442,x99441,x99443))),f333(f333(f189(f889(x99443,x99443),a874),f776(x99444,x99445,x99442,x99441,x99443)),x99444)))+~P24(f333(f333(f335(f889(x99443,x99443)),f333(f333(f263(x99443,x99443),x99441),x99442)),f333(f333(f189(f889(x99443,x99443),a874),x99445),x99444)))
% 163.24/162.97 [9945]E(x99451,f2(a880))+P24(f333(f333(f335(f889(x99452,x99452)),f333(f333(f263(x99452,x99452),x99453),f777(x99454,x99451,x99455,x99453,x99452))),f333(f333(f189(f889(x99452,x99452),a874),f776(x99454,x99451,x99455,x99453,x99452)),x99454)))+~P24(f333(f333(f335(f889(x99452,x99452)),f333(f333(f263(x99452,x99452),x99453),x99455)),f333(f333(f189(f889(x99452,x99452),a874),x99451),x99454)))
% 163.24/162.97 [9991]E(x99911,x99912)+P24(f333(f333(f335(f889(x99913,x99913)),f333(f333(f263(x99913,x99913),f775(x99914,x99915,x99911,x99912,x99913)),x99911)),f333(f333(f189(f889(x99913,x99913),a874),f774(x99914,x99915,x99911,x99912,x99913)),x99914)))+~P24(f333(f333(f335(f889(x99913,x99913)),f333(f333(f263(x99913,x99913),x99912),x99911)),f333(f333(f189(f889(x99913,x99913),a874),x99915),x99914)))
% 163.24/162.97 [9992]E(x99921,f2(a880))+P24(f333(f333(f335(f889(x99922,x99922)),f333(f333(f263(x99922,x99922),f775(x99923,x99921,x99924,x99925,x99922)),x99924)),f333(f333(f189(f889(x99922,x99922),a874),f774(x99923,x99921,x99924,x99925,x99922)),x99923)))+~P24(f333(f333(f335(f889(x99922,x99922)),f333(f333(f263(x99922,x99922),x99925),x99924)),f333(f333(f189(f889(x99922,x99922),a874),x99921),x99923)))
% 163.24/162.97 [10028]~P69(x100282)+~P24(f333(f63(x100281),x100285))+E(f333(f333(f8(x100281,x100282),f333(f333(f9(x100281,x100282,x100282),f333(f333(f20(x100281,x100282,f890(x100282,x100282)),f333(f333(f10(a874,f890(x100282,f890(x100282,x100282)),x100281),f101(x100282)),f333(f333(f9(x100281,f890(x100281,a874),a874),f335(x100281)),x100283))),x100284)),f2(x100282))),x100285),f333(f333(f8(x100281,x100282),x100284),f333(f333(f106(f890(x100281,a874)),x100285),x100283)))
% 163.24/162.97 [8605]~P69(x86051)+~P24(f333(f63(x86054),x86055))+E(f333(f333(f81(x86051),f333(x86052,x86053)),f333(f333(f8(x86054,x86051),x86052),f333(f333(f3(f890(x86054,a874)),x86055),f333(f333(f311(x86054),x86053),f194(f890(x86054,a874)))))),f333(f333(f8(x86054,x86051),x86052),f333(f333(f311(x86054),x86053),x86055)))
% 163.24/162.97 [8606]~P76(x86061)+~P24(f333(f63(x86064),x86065))+E(f333(f333(f82(x86061),f333(x86062,x86063)),f333(f333(f11(x86064,x86061),x86062),f333(f333(f3(f890(x86064,a874)),x86065),f333(f333(f311(x86064),x86063),f194(f890(x86064,a874)))))),f333(f333(f11(x86064,x86061),x86062),f333(f333(f311(x86064),x86063),x86065)))
% 163.24/162.97 [8921]~P109(x89212)+~P31(x89212,f333(f170(x89212),f333(f333(f155(x89211,x89212),x89214),x89215)))+E(f333(f137(x89211,f333(f333(f10(x89212,a874,x89211),f333(f251(x89212),x89213)),x89214)),x89215),f177(x89211,f333(f333(f10(x89212,a874,x89211),f333(f251(x89212),x89213)),x89214),x89215))
% 163.24/162.97 [8946]~P69(x89461)+E(f333(f333(f81(x89461),f333(f333(f8(a880,x89461),x89462),f304(a880,x89463,x89464))),f333(f333(f8(a880,x89461),x89462),f304(a880,f333(f333(f81(a880),x89464),f79(a880)),f333(f333(f81(a880),x89464),x89465)))),f333(f333(f8(a880,x89461),x89462),f304(a880,x89463,f333(f333(f81(a880),x89464),x89465))))+~P24(f333(f333(f250(a880),x89463),f333(f333(f81(a880),x89464),f79(a880))))
% 163.24/162.97 [8947]~P24(f333(f333(f335(x89471),x89474),x89475))+~P24(f333(f333(f250(f890(x89471,a874)),f333(f173(x89471),x89472)),x89475))+P24(f333(f333(f250(f890(x89471,a874)),f333(f173(x89471),f333(f333(f160(x89471,x89472),x89473),x89474))),x89475))
% 163.24/162.97 [9168]~P29(x91682)+~P24(f333(f63(x91681),x91685))+E(f333(f333(f66(x91681,x91682,f333(f333(f10(x91682,f890(x91682,x91682),x91681),f115(x91682)),x91683)),x91684),x91685),f333(f333(f115(x91682),x91684),f333(f333(f44(x91681,x91682),x91685),x91683)))
% 163.24/162.97 [9169]~P29(x91692)+~P24(f333(f63(x91691),x91695))+E(f333(f333(f66(x91691,x91692,f333(f333(f10(x91692,f890(x91692,x91692),x91691),f106(x91692)),x91693)),x91694),x91695),f333(f333(f106(x91692),x91694),f333(f333(f43(x91691,x91692),x91695),x91693)))
% 163.24/162.97 [9214]E(f333(x92141,x92142),f333(x92141,x92143))+P24(f333(f333(f251(a880),f333(x92141,x92142)),f333(x92141,x92143)))+~P24(f333(f333(f335(f889(x92144,x92144)),f333(f333(f263(x92144,x92144),x92142),x92143)),f154(x92144,f333(f333(f152(f890(x92144,a880)),x92141),x92145))))
% 163.24/162.97 [9245]~E(f333(x92454,x92452),f333(x92454,x92453))+~P24(f333(f333(f335(f889(x92451,x92451)),f333(f333(f263(x92451,x92451),x92452),x92453)),f154(x92451,x92455)))+P24(f333(f333(f335(f889(x92451,x92451)),f333(f333(f263(x92451,x92451),x92452),x92453)),f154(x92451,f333(f333(f152(f890(x92451,a880)),x92454),x92455))))
% 163.24/162.97 [9267]~P21(x92671,x92672,x92673,x92675)+P21(x92671,x92672,x92673,f333(f333(f311(x92671),x92674),x92675))+P24(f333(f333(f335(x92672),f333(x92673,x92674)),f333(f312(x92671,x92672,x92673),f333(f333(f3(f890(x92671,a874)),x92675),f333(f333(f311(x92671),x92674),f194(f890(x92671,a874)))))))
% 163.24/162.97 [9273]P24(f333(x92732,x92735))+~P24(f333(f333(f335(x92731),x92735),f333(f173(x92731),x92733)))+E(f333(f333(f139(x92731),f333(f195(f881(x92731)),f177(x92731,x92732,f333(f333(f127(x92731),x92733),x92734)))),f333(f333(f127(x92731),x92733),x92734)),f333(f333(f127(x92731),f333(f333(f139(x92731),f333(f195(f881(x92731)),f177(x92731,x92732,x92733))),x92733)),x92734))
% 163.24/162.97 [9277]~P24(f333(f333(f335(f889(x92771,x92771)),f333(f333(f263(x92771,x92771),x92772),x92773)),f154(x92771,x92775)))+~P24(f333(f333(f250(a880),f333(x92774,x92772)),f333(x92774,x92773)))+P24(f333(f333(f335(f889(x92771,x92771)),f333(f333(f263(x92771,x92771),x92772),x92773)),f154(x92771,f333(f333(f152(f890(x92771,a880)),x92774),x92775))))
% 163.24/162.97 [9342]P24(f333(f333(f335(f889(x93424,x93424)),f333(f333(f263(x93424,x93424),x93422),x93423)),f154(x93424,x93425)))+P24(f333(f333(f251(a880),f333(x93421,x93422)),f333(x93421,x93423)))+~P24(f333(f333(f335(f889(x93424,x93424)),f333(f333(f263(x93424,x93424),x93422),x93423)),f154(x93424,f333(f333(f152(f890(x93424,a880)),x93421),x93425))))
% 163.24/162.97 [9482]~P24(f333(f333(f335(f889(f881(x94821),f881(x94821))),f333(f333(f263(f881(x94821),f881(x94821)),x94822),x94824)),f159(x94821,x94825)))+~P24(f333(f333(f251(a880),x94823),f333(f195(f881(x94821)),x94822)))+P24(f333(f333(f335(f889(x94821,x94821)),f333(f333(f263(x94821,x94821),f333(f333(f166(x94821),x94822),x94823)),f333(f333(f166(x94821),x94824),x94823))),x94825))
% 163.24/162.97 [9752]E(x97521,f2(a1))+~P24(f333(f50(x97523,x97521),f333(f333(f263(a1,a1),x97524),x97525)))+P24(f333(f50(f333(f333(f82(a1),x97522),x97523),x97521),f333(f333(f263(a1,a1),f333(f333(f81(a1),f333(f333(f82(a1),x97522),x97524)),f333(f333(f40(a1),f333(f333(f82(a1),x97522),x97525)),x97521))),f46(a1,f333(f333(f82(a1),x97522),x97525),x97521))))
% 163.24/162.97 [9761]~P24(f333(f333(f251(a880),f2(a880)),x97613))+~P24(f333(f49(x97612,x97613),f333(f333(f263(a880,a880),x97614),x97615)))+P24(f333(f49(f333(f333(f82(a880),x97611),x97612),x97613),f333(f333(f263(a880,a880),f333(f333(f81(a880),f333(f333(f82(a880),x97611),x97614)),f333(f333(f40(a880),f333(f333(f82(a880),x97611),x97615)),x97613))),f46(a880,f333(f333(f82(a880),x97611),x97615),x97613))))
% 163.24/162.97 [10046]~P69(x100462)+~P24(f333(f63(x100461),x100464))+E(f333(f333(f8(x100461,x100462),x100463),f333(f255(x100461),f333(f333(f20(x100461,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100461),a331),f333(f333(f9(x100461,f890(x100461,a874),a874),f335(x100461)),x100464))),f333(f333(f9(x100461,f890(x100461,a874),a874),f335(x100461)),x100465)))),f333(f333(f8(x100461,x100462),f333(f333(f9(x100461,x100462,x100462),f333(f333(f20(x100461,x100462,f890(x100462,x100462)),f333(f333(f10(a874,f890(x100462,f890(x100462,x100462)),x100461),f101(x100462)),f333(f333(f9(x100461,f890(x100461,a874),a874),f335(x100461)),x100465))),x100463)),f2(x100462))),x100464))
% 163.24/162.97 [8238]~E(f333(f333(f127(x82381),x82382),x82385),f333(f333(f127(x82381),x82383),x82384))+E(f333(f333(f127(x82381),f333(f333(f139(x82381),f333(f195(f881(x82381)),x82382)),x82383)),x82384),x82385)+P24(f333(f333(f250(a880),f333(f195(f881(x82381)),x82383)),f333(f195(f881(x82381)),x82382)))
% 163.24/162.97 [8433]~E(f333(f333(f127(x84332),x84333),x84331),f333(f333(f127(x84332),x84334),x84335))+E(x84331,f333(f333(f127(x84332),f333(f333(f139(x84332),f333(f195(f881(x84332)),x84333)),x84334)),x84335))+~P24(f333(f333(f250(a880),f333(f195(f881(x84332)),x84333)),f333(f195(f881(x84332)),x84334)))
% 163.24/162.97 [8526]~E(f333(f333(f81(a880),f333(f333(f82(a880),x85263),x85264)),x85261),f333(f333(f81(a880),f333(f333(f82(a880),x85262),x85264)),x85265))+~P24(f333(f333(f250(a880),x85263),x85262))+E(x85261,f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x85262),x85263)),x85264)),x85265))
% 163.24/162.97 [8527]~E(f333(f333(f81(a880),f333(f333(f82(a880),x85271),x85273)),x85274),f333(f333(f81(a880),f333(f333(f82(a880),x85272),x85273)),x85275))+~P24(f333(f333(f250(a880),x85272),x85271))+E(f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x85271),x85272)),x85273)),x85274),x85275)
% 163.24/162.97 [8673]E(f333(f333(f81(a880),f333(f333(f82(a880),x86731),x86732)),x86733),f333(f333(f81(a880),f333(f333(f82(a880),x86734),x86732)),x86735))+~P24(f333(f333(f250(a880),x86734),x86731))+~E(x86735,f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x86731),x86734)),x86732)),x86733))
% 163.24/162.97 [8674]E(f333(f333(f81(a880),f333(f333(f82(a880),x86741),x86742)),x86743),f333(f333(f81(a880),f333(f333(f82(a880),x86744),x86742)),x86745))+~P24(f333(f333(f250(a880),x86744),x86741))+~E(f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x86741),x86744)),x86742)),x86743),x86745)
% 163.24/162.97 [9547]~P63(x95472)+~P24(f333(f63(x95471),x95475))+E(f333(f333(f11(x95471,x95472),f333(f333(f20(x95471,x95472,x95472),f333(f333(f10(x95472,f890(x95472,x95472),x95471),f291(x95472)),x95473)),x95474)),x95475),f333(f333(f291(x95472),f333(f333(f11(x95471,x95472),x95473),x95475)),f333(f333(f11(x95471,x95472),x95474),x95475)))
% 163.24/162.97 [9682]~E(f778(x96825,x96824,x96823,x96822,x96821),f779(x96825,x96824,x96823,x96822,x96821))+P24(f333(f333(f335(f889(x96821,x96821)),f333(f333(f263(x96821,x96821),x96822),x96823)),f309(x96821,x96824)))+~P24(f333(f333(f335(f889(x96821,x96821)),f333(f333(f263(x96821,x96821),x96822),x96823)),f309(x96821,f333(f333(f115(f890(f889(x96821,x96821),a874)),x96824),x96825))))
% 163.24/162.97 [9683]~E(f780(x96835,x96834,x96833,x96832,x96831),f781(x96835,x96834,x96833,x96832,x96831))+P24(f333(f333(f335(f889(x96831,x96831)),f333(f333(f263(x96831,x96831),x96832),x96833)),f309(x96831,x96834)))+~P24(f333(f333(f335(f889(x96831,x96831)),f333(f333(f263(x96831,x96831),x96832),x96833)),f309(x96831,f333(f333(f115(f890(f889(x96831,x96831),a874)),x96834),x96835))))
% 163.24/162.97 [9898]P24(f333(f333(f335(f889(x98981,x98981)),f333(f333(f263(x98981,x98981),x98982),f779(x98985,x98984,x98983,x98982,x98981))),f309(x98981,x98984)))+P24(f333(f333(f335(f889(x98981,x98981)),f333(f333(f263(x98981,x98981),x98982),x98983)),f309(x98981,x98984)))+~P24(f333(f333(f335(f889(x98981,x98981)),f333(f333(f263(x98981,x98981),x98982),x98983)),f309(x98981,f333(f333(f115(f890(f889(x98981,x98981),a874)),x98984),x98985))))
% 163.24/162.97 [9963]P24(f333(f333(f335(f889(x99631,x99631)),f333(f333(f263(x99631,x99631),f781(x99635,x99634,x99633,x99632,x99631)),x99633)),f309(x99631,x99634)))+P24(f333(f333(f335(f889(x99631,x99631)),f333(f333(f263(x99631,x99631),x99632),x99633)),f309(x99631,x99634)))+~P24(f333(f333(f335(f889(x99631,x99631)),f333(f333(f263(x99631,x99631),x99632),x99633)),f309(x99631,f333(f333(f115(f890(f889(x99631,x99631),a874)),x99634),x99635))))
% 163.24/162.97 [9997]P24(f333(f333(f335(f889(x99971,x99971)),f333(f333(f263(x99971,x99971),x99972),x99973)),f309(x99971,x99974)))+P24(f333(f333(f335(f889(x99971,x99971)),f333(f333(f263(x99971,x99971),f779(x99975,x99974,x99973,x99972,x99971)),f778(x99975,x99974,x99973,x99972,x99971))),x99975))+~P24(f333(f333(f335(f889(x99971,x99971)),f333(f333(f263(x99971,x99971),x99972),x99973)),f309(x99971,f333(f333(f115(f890(f889(x99971,x99971),a874)),x99974),x99975))))
% 163.24/162.97 [9998]P24(f333(f333(f335(f889(x99981,x99981)),f333(f333(f263(x99981,x99981),x99982),x99983)),f309(x99981,x99984)))+P24(f333(f333(f335(f889(x99981,x99981)),f333(f333(f263(x99981,x99981),f780(x99985,x99984,x99983,x99982,x99981)),f781(x99985,x99984,x99983,x99982,x99981))),x99985))+~P24(f333(f333(f335(f889(x99981,x99981)),f333(f333(f263(x99981,x99981),x99982),x99983)),f309(x99981,f333(f333(f115(f890(f889(x99981,x99981),a874)),x99984),x99985))))
% 163.24/162.97 [10147]~P24(f333(f333(f335(f889(f881(x101471),f881(x101471))),f333(f333(f263(f881(x101471),f881(x101471)),x101474),x101475)),f159(x101471,x101472)))+~P24(f333(f333(f335(f889(x101471,x101471)),x101473),f333(f173(f889(x101471,x101471)),f333(f333(f182(x101471,x101471),x101474),x101475))))+P24(f333(f333(f272(x101471,x101471,a874),f333(f333(f9(x101471,f890(f889(x101471,x101471),a874),f890(x101471,a874)),f333(f333(f10(f890(x101471,f890(f890(f889(x101471,x101471),a874),a874)),f890(f890(f889(x101471,x101471),a874),f890(x101471,a874)),x101471),f9(x101471,f890(f889(x101471,x101471),a874),a874)),f333(f333(f10(f890(x101471,f889(x101471,x101471)),f890(x101471,f890(f890(f889(x101471,x101471),a874),a874)),x101471),f333(f10(f889(x101471,x101471),f890(f890(f889(x101471,x101471),a874),a874),x101471),f335(f889(x101471,x101471)))),f263(x101471,x101471)))),x101472)),x101473))
% 163.24/162.97 [9573]~P24(f333(f333(f250(a880),x95733),x95732))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),x95733),x95734)),x95731)),f333(f333(f81(a880),f333(f333(f82(a880),x95732),x95734)),x95735)))+P24(f333(f333(f251(a880),x95731),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x95732),x95733)),x95734)),x95735)))
% 163.24/162.97 [9574]~P24(f333(f333(f250(a880),x95743),x95742))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),x95743),x95744)),x95741)),f333(f333(f81(a880),f333(f333(f82(a880),x95742),x95744)),x95745)))+P24(f333(f333(f250(a880),x95741),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x95742),x95743)),x95744)),x95745)))
% 163.24/162.97 [9600]~P24(f333(f333(f250(a880),x96001),x96004))+P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),x96001),x96002)),x96003)),f333(f333(f81(a880),f333(f333(f82(a880),x96004),x96002)),x96005)))+~P24(f333(f333(f251(a880),x96003),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x96004),x96001)),x96002)),x96005)))
% 163.24/162.97 [9601]~P24(f333(f333(f250(a880),x96011),x96014))+P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),x96011),x96012)),x96013)),f333(f333(f81(a880),f333(f333(f82(a880),x96014),x96012)),x96015)))+~P24(f333(f333(f250(a880),x96013),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x96014),x96011)),x96012)),x96015)))
% 163.24/162.97 [9717]~P24(f333(f333(f250(a880),x97172),x97171))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),x97171),x97173)),x97174)),f333(f333(f81(a880),f333(f333(f82(a880),x97172),x97173)),x97175)))+P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x97171),x97172)),x97173)),x97174)),x97175))
% 163.24/162.97 [9718]~P24(f333(f333(f250(a880),x97182),x97181))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),x97181),x97183)),x97184)),f333(f333(f81(a880),f333(f333(f82(a880),x97182),x97183)),x97185)))+P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x97181),x97182)),x97183)),x97184)),x97185))
% 163.24/162.97 [9786]~P24(f333(f333(f250(a880),x97864),x97861))+P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),x97861),x97862)),x97863)),f333(f333(f81(a880),f333(f333(f82(a880),x97864),x97862)),x97865)))+~P24(f333(f333(f251(a880),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x97861),x97864)),x97862)),x97863)),x97865))
% 163.24/162.97 [9787]~P24(f333(f333(f250(a880),x97874),x97871))+P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),x97871),x97872)),x97873)),f333(f333(f81(a880),f333(f333(f82(a880),x97874),x97872)),x97875)))+~P24(f333(f333(f250(a880),f333(f333(f81(a880),f333(f333(f82(a880),f333(f333(f3(a880),x97871),x97874)),x97872)),x97873)),x97875))
% 163.24/162.97 [9983]~P9(x99831,x99832,x99835,x99833)+~P24(f333(f333(f335(f889(x99831,x99831)),x99834),x99835))+P24(f333(f333(f272(x99831,x99831,a874),f333(f333(f9(x99831,f890(x99831,x99832),f890(x99831,a874)),f333(f333(f10(f890(x99832,a874),f890(f890(x99831,x99832),f890(x99831,a874)),x99831),f10(x99832,a874,x99831)),f333(f333(f10(x99832,f890(x99832,a874),x99831),a330),x99833))),x99833)),x99834))
% 163.24/162.97 [6803]~E(f333(x68034,x68035),f197(x68032))+E(f333(f185(x68031,x68032,x68033,x68034),x68035),f333(f242(x68032),x68036))+~E(f333(x68033,x68035),f333(f242(x68032),x68036))
% 163.24/162.97 [6897]~E(f333(x68973,x68976),f197(x68971))+E(f333(f244(f884(x68971),x68972,f197(x68971),x68973),f333(x68974,x68975)),f197(x68971))+~E(f333(x68974,x68975),f333(f242(x68972),x68976))
% 163.24/162.97 [7473]E(f333(x74731,x74732),f197(x74733))+~E(f333(f185(x74735,x74733,x74736,x74731),x74732),f333(f242(x74733),x74734))+E(f333(x74731,x74732),f333(f242(x74733),x74734))
% 163.24/162.97 [7506]~E(f333(f185(x75066,x75063,x75065,x75061),x75062),f333(f242(x75063),x75064))+E(f333(x75061,x75062),f333(f242(x75063),x75064))+E(f333(x75065,x75062),f333(f242(x75063),x75064))
% 163.24/162.97 [8395]~P15(x83956,x83951,x83952,x83954)+E(f333(f74(x83951,x83951,x83951,f333(x83952,x83953)),f333(x83954,x83955)),f333(f74(x83951,x83951,x83951,f333(x83954,x83955)),f333(x83952,x83953)))+~P24(f333(f63(x83956),x83955))
% 163.24/162.97 [8809]~P21(x88091,x88093,x88095,x88096)+~P21(x88093,x88092,x88094,f333(f312(x88091,x88093,x88095),x88096))+P21(x88091,x88092,f333(f74(x88093,x88092,x88091,x88094),x88095),x88096)
% 163.24/162.97 [9379]~P24(f333(f333(x93793,x93792),x93796))+~P24(f333(f333(x93794,x93795),x93792))+P24(f333(f333(f335(x93791),x93792),f301(x93791,x93793,x93794,x93795,x93796)))
% 163.24/162.97 [9380]~P24(f333(f333(x93804,x93802),x93806))+~P24(f333(f333(x93803,x93805),x93802))+P24(f333(f333(f335(x93801),x93802),f298(x93801,x93803,x93804,x93805,x93806)))
% 163.24/162.97 [9483]E(x94831,x94832)+E(x94833,x94834)+~P24(f333(f333(f335(f889(f881(x94835),f881(x94835))),f333(f333(f263(f881(x94835),f881(x94835)),f333(f333(f152(x94835),x94833),x94831)),f333(f333(f152(x94835),x94834),x94832))),f158(x94835,x94836)))
% 163.24/162.97 [9498]~E(x94982,x94984)+P24(f333(f333(f335(f889(f881(x94981),f881(x94981))),f333(f333(f263(f881(x94981),f881(x94981)),f333(f333(f152(x94981),x94982),x94983)),f333(f333(f152(x94981),x94984),x94985))),f146(x94981,x94986)))+~P24(f333(f333(f335(f889(f881(x94981),f881(x94981))),f333(f333(f263(f881(x94981),f881(x94981)),x94983),x94985)),f146(x94981,x94986)))
% 163.24/162.97 [9499]~E(x94992,x94994)+P24(f333(f333(f335(f889(f881(x94991),f881(x94991))),f333(f333(f263(f881(x94991),f881(x94991)),f333(f333(f152(x94991),x94992),x94993)),f333(f333(f152(x94991),x94994),x94995))),f148(x94991,x94996)))+~P24(f333(f333(f335(f889(f881(x94991),f881(x94991))),f333(f333(f263(f881(x94991),f881(x94991)),x94993),x94995)),f148(x94991,x94996)))
% 163.24/162.97 [9500]~E(x95002,x95004)+P24(f333(f333(f335(f889(f881(x95001),f881(x95001))),f333(f333(f263(f881(x95001),f881(x95001)),f333(f333(f152(x95001),x95002),x95003)),f333(f333(f152(x95001),x95004),x95005))),f158(x95001,x95006)))+~P24(f333(f333(f335(f889(f881(x95001),f881(x95001))),f333(f333(f263(f881(x95001),f881(x95001)),x95003),x95005)),f158(x95001,x95006)))
% 163.24/162.97 [9501]~E(x95012,x95014)+P24(f333(f333(f335(f889(f881(x95011),f881(x95011))),f333(f333(f263(f881(x95011),f881(x95011)),f333(f333(f127(x95011),x95012),x95013)),f333(f333(f127(x95011),x95014),x95015))),f158(x95011,x95016)))+~P24(f333(f333(f335(f889(f881(x95011),f881(x95011))),f333(f333(f263(f881(x95011),f881(x95011)),x95013),x95015)),f158(x95011,x95016)))
% 163.24/162.97 [9502]~E(x95023,x95025)+P24(f333(f333(f335(f889(f881(x95021),f881(x95021))),f333(f333(f263(f881(x95021),f881(x95021)),f333(f333(f127(x95021),x95022),x95023)),f333(f333(f127(x95021),x95024),x95025))),f158(x95021,x95026)))+~P24(f333(f333(f335(f889(f881(x95021),f881(x95021))),f333(f333(f263(f881(x95021),f881(x95021)),x95022),x95024)),f158(x95021,x95026)))
% 163.24/162.97 [9563]E(x95631,x95632)+P24(f333(f333(f335(f889(f881(x95633),f881(x95633))),f333(f333(f263(f881(x95633),f881(x95633)),x95631),x95632)),f158(x95633,x95634)))+~P24(f333(f333(f335(f889(f881(x95633),f881(x95633))),f333(f333(f263(f881(x95633),f881(x95633)),f333(f333(f152(x95633),x95635),x95631)),f333(f333(f152(x95633),x95636),x95632))),f158(x95633,x95634)))
% 163.24/162.97 [9721]~E(x97213,x97215)+P24(f333(f333(f335(f889(f881(x97211),f881(x97211))),f333(f333(f263(f881(x97211),f881(x97211)),f333(f333(f127(x97211),x97212),f333(f333(f152(x97211),x97213),f118(x97211)))),f333(f333(f127(x97211),x97214),f333(f333(f152(x97211),x97215),f118(x97211))))),f158(x97211,x97216)))+~P24(f333(f333(f335(f889(f881(x97211),f881(x97211))),f333(f333(f263(f881(x97211),f881(x97211)),x97212),x97214)),f158(x97211,x97216)))
% 163.24/162.97 [9742]E(f333(x97421,x97422),f197(x97423))+~E(f333(f244(f884(x97426),x97423,f197(x97426),x97424),f333(x97421,x97422)),f197(x97426))+E(f333(x97424,f496(x97422,x97421,x97424,x97425,x97426,x97423)),f197(x97426))
% 163.24/162.97 [9743]E(f333(x97431,x97432),f197(x97433))+~E(f333(f244(f884(x97436),x97433,f197(x97436),x97434),f333(x97431,x97432)),f197(x97436))+E(f333(f242(x97433),f496(x97432,x97431,x97434,x97435,x97436,x97433)),f333(x97431,x97432))
% 163.24/162.97 [9790]E(x97901,x97902)+E(x97903,x97904)+~P24(f333(f333(f335(f889(f881(x97905),f881(x97905))),f333(f333(f263(f881(x97905),f881(x97905)),f333(f333(f127(x97905),x97903),f333(f333(f152(x97905),x97901),f118(x97905)))),f333(f333(f127(x97905),x97904),f333(f333(f152(x97905),x97902),f118(x97905))))),f158(x97905,x97906)))
% 163.24/162.97 [9811]E(x98111,x98112)+~P24(f333(f333(f335(f889(f881(x98113),f881(x98113))),f333(f333(f263(f881(x98113),f881(x98113)),f333(f333(f127(x98113),x98111),f333(f333(f152(x98113),x98115),f118(x98113)))),f333(f333(f127(x98113),x98112),f333(f333(f152(x98113),x98116),f118(x98113))))),f158(x98113,x98114)))+P24(f333(f333(f335(f889(f881(x98113),f881(x98113))),f333(f333(f263(f881(x98113),f881(x98113)),x98111),x98112)),f158(x98113,x98114)))
% 163.24/162.97 [9851]~P24(f333(f333(f335(f889(f890(x98511,a874),f890(x98511,a874))),f333(f333(f263(f890(x98511,a874),f890(x98511,a874)),x98512),x98514)),f325(x98511,x98516)))+~P24(f333(f333(f335(f889(f890(x98511,a874),f890(x98511,a874))),f333(f333(f263(f890(x98511,a874),f890(x98511,a874)),x98513),x98515)),f325(x98511,x98516)))+P24(f333(f333(f335(f889(f890(x98511,a874),f890(x98511,a874))),f333(f333(f263(f890(x98511,a874),f890(x98511,a874)),f333(f333(f115(f890(x98511,a874)),x98512),x98513)),f333(f333(f115(f890(x98511,a874)),x98514),x98515))),f325(x98511,x98516)))
% 163.24/162.97 [5267]~E(f333(x52673,x52676),x52675)+~E(x52674,f333(f242(x52671),x52676))+E(f333(f333(f208(x52671,x52672),x52673),x52674),f333(f242(x52672),x52675))
% 163.24/162.97 [5679]~E(f333(f333(f127(x56791),x56796),x56793),x56795)+E(f333(f333(f127(x56791),x56792),x56793),f333(f333(f152(x56791),x56794),x56795))+~E(x56792,f333(f333(f152(x56791),x56794),x56796))
% 163.24/162.97 [5680]~E(f333(f333(f127(x56801),x56806),x56803),x56805)+E(f333(f333(f127(x56801),x56802),x56803),f333(f333(f127(x56801),x56804),x56805))+~E(x56802,f333(f333(f127(x56801),x56804),x56806))
% 163.24/162.97 [5682]E(f333(f333(f127(x56821),x56822),x56823),f333(f333(f152(x56821),x56824),x56825))+~E(f333(f333(f152(x56821),x56824),x56826),x56822)+~E(x56825,f333(f333(f127(x56821),x56826),x56823))
% 163.24/162.97 [5684]~E(f333(f333(f127(x56841),x56842),x56846),x56844)+E(f333(f333(f127(x56841),x56842),x56843),f333(f333(f127(x56841),x56844),x56845))+~E(x56843,f333(f333(f127(x56841),x56846),x56845))
% 163.24/162.97 [6797]E(f333(x67971,x67972),f333(x67973,x67972))+~E(f333(f333(f155(x67974,x67975),x67971),x67976),f333(f333(f155(x67974,x67975),x67973),x67976))+~P24(f333(f333(f335(x67974),x67972),f333(f173(x67974),x67976)))
% 163.24/162.97 [7177]~P15(x71774,x71775,x71776,x71771)+E(f333(f333(x71771,x71772),x71773),f333(f333(f66(x71774,x71775,x71776),x71773),x71772))+~P24(f333(f63(x71774),x71772))
% 163.24/162.97 [7243]~E(x72432,f333(x72434,x72436))+~P24(f333(f333(f335(x72433),x72436),x72435))+P24(f333(f333(f335(x72431),x72432),f333(f312(x72433,x72431,x72434),x72435)))
% 163.24/162.97 [7244]~E(f333(x72444,x72442),x72446)+~P24(f333(f333(f335(x72443),x72446),x72445))+P24(f333(f333(f335(x72441),x72442),f333(f313(x72441,x72443,x72444),x72445)))
% 163.24/162.97 [7680]~P35(x76801,x76802,x76804,x76806)+P35(x76801,x76802,f333(f333(f152(x76801),x76803),x76804),f333(f333(f152(x76801),x76805),x76806))+~P24(f333(f333(x76802,x76803),x76805))
% 163.24/162.97 [8681]~P56(x86814,x86815,x86811,x86812,x86816)+E(f333(x86811,f333(x86812,x86813)),x86813)+~P24(f333(f333(f335(x86815),x86813),x86816))
% 163.24/162.97 [9486]E(x94861,x94862)+E(f333(f195(f881(x94863)),x94864),f333(f195(f881(x94863)),x94865))+~P24(f333(f333(f335(f889(f881(x94863),f881(x94863))),f333(f333(f263(f881(x94863),f881(x94863)),f333(f333(f152(x94863),x94861),x94864)),f333(f333(f152(x94863),x94862),x94865))),f146(x94863,x94866)))
% 163.24/162.97 [9559]~P12(x95591,x95592,x95593)+E(f333(f333(f66(x95591,x95592,x95593),x95594),x95595),x95596)+~P24(f333(f68(x95591,x95592,x95593,x95594,x95595),x95596))
% 163.24/162.97 [9564]E(f333(f195(f881(x95641)),x95642),f333(f195(f881(x95641)),x95643))+P24(f333(f333(f335(f889(f881(x95641),f881(x95641))),f333(f333(f263(f881(x95641),f881(x95641)),x95642),x95643)),f146(x95641,x95644)))+~P24(f333(f333(f335(f889(f881(x95641),f881(x95641))),f333(f333(f263(f881(x95641),f881(x95641)),f333(f333(f152(x95641),x95645),x95642)),f333(f333(f152(x95641),x95646),x95643))),f146(x95641,x95644)))
% 163.24/162.97 [9594]~P24(f333(f333(f335(f889(x95941,x95941)),f333(f333(f263(x95941,x95941),x95942),x95944)),f309(x95941,x95946)))+P24(f333(f333(f335(f889(f881(x95941),f881(x95941))),f333(f333(f263(f881(x95941),f881(x95941)),f333(f333(f152(x95941),x95942),x95943)),f333(f333(f152(x95941),x95944),x95945))),f309(f881(x95941),f158(x95941,x95946))))+~P24(f333(f333(f335(f889(f881(x95941),f881(x95941))),f333(f333(f263(f881(x95941),f881(x95941)),x95943),x95945)),f309(f881(x95941),f158(x95941,x95946))))
% 163.24/162.97 [9795]~P24(f333(x97952,x97956))+~E(f333(f137(x97951,x97952),x97953),f333(f333(f152(x97951),x97954),x97955))+~P24(f333(f333(f335(x97951),x97956),f333(f173(x97951),f749(x97955,x97954,x97953,x97952,x97951))))
% 163.24/162.97 [9796]~P24(f333(x97964,x97966))+~E(f333(f333(f152(x97961),x97962),x97963),f333(f137(x97961,x97964),x97965))+~P24(f333(f333(f335(x97961),x97966),f333(f173(x97961),f751(x97965,x97964,x97963,x97962,x97961))))
% 163.24/162.97 [10082]~P69(x100822)+E(f333(f333(f8(x100821,x100822),f333(f333(f10(f890(x100823,a874),x100822,x100821),f333(f8(x100823,x100822),x100824)),f333(f333(f10(f890(x100823,a874),f890(x100823,a874),x100821),f255(x100823)),f333(f333(f10(f890(x100823,a874),f890(x100823,a874),x100821),f333(f20(x100823,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100823),a331),f333(f333(f9(x100823,f890(x100823,a874),a874),f335(x100823)),x100825)))),f333(f9(x100823,x100821,a874),f333(f333(f10(x100821,f890(x100821,a874),x100823),a330),x100826)))))),f333(f312(x100823,x100821,x100826),x100825)),f333(f333(f8(x100823,x100822),x100824),x100825))+~P24(f333(f63(x100823),x100825))
% 163.24/162.97 [6851]~P109(x68513)+P24(f333(x68512,x68515))+E(f333(f137(x68511,x68512),f333(f333(f149(x68511,x68513,x68514),x68515),x68516)),f333(f137(x68511,x68512),x68516))
% 163.24/162.97 [6853]P24(f333(x68531,x68532))+~E(f168(x68533,x68531,x68534),f333(f333(f263(f881(x68533),f881(x68533)),x68535),x68536))+~P24(f333(f333(f335(x68533),x68532),f333(f173(x68533),x68535)))
% 163.24/162.97 [6894]~P24(f333(x68942,x68946))+~E(f168(x68941,x68942,x68943),f333(f333(f263(f881(x68941),f881(x68941)),x68944),x68945))+~P24(f333(f333(f335(x68941),x68946),f333(f173(x68941),x68945)))
% 163.24/162.97 [7550]~P11(x75501,x75502,x75503)+~P24(f333(f63(x75501),x75506))+E(f333(f333(f66(x75501,x75502,x75503),x75504),f333(f333(f311(x75501),x75505),x75506)),f333(f333(f66(x75501,x75502,x75503),f333(f333(x75503,x75505),x75504)),x75506))
% 163.24/162.97 [7597]~P109(x75972)+~P24(f333(f333(f250(x75972),f333(x75973,x75974)),f333(x75973,x75975)))+E(f333(f333(f149(x75971,x75972,x75973),x75974),f333(f333(f152(x75971),x75975),x75976)),f333(f333(f152(x75971),x75974),f333(f333(f152(x75971),x75975),x75976)))
% 163.24/162.97 [7711]E(x77111,x77112)+~E(f333(f333(f270(x77113,x77114),x77111),f333(f18(f890(x77114,a874),x77113),x77115)),f333(f333(f270(x77113,x77114),x77112),f333(f18(f890(x77114,a874),x77113),x77115)))+~P24(f333(f333(f335(x77114),x77116),x77115))
% 163.24/162.97 [7778]~P11(x77781,x77782,x77783)+~P24(f333(f63(x77781),x77786))+E(f333(f333(f66(x77781,x77782,x77783),x77784),f333(f333(f311(x77781),x77785),x77786)),f333(f333(x77783,x77785),f333(f333(f66(x77781,x77782,x77783),x77784),x77786)))
% 163.24/162.97 [7891]~P12(x78911,x78912,x78913)+~P24(f333(f63(x78911),x78916))+E(f333(f333(f66(x78911,x78912,x78913),f333(f333(x78913,x78914),x78915)),x78916),f333(f333(x78913,x78914),f333(f333(f66(x78911,x78912,x78913),x78915),x78916)))
% 163.24/162.97 [7955]~P16(x79552,x79555,x79556,x79551)+~P24(f333(f63(x79552),x79554))+E(f333(x79551,f333(f333(f311(x79552),x79553),x79554)),f333(f74(x79555,x79555,x79555,f333(x79551,x79554)),f333(x79556,x79553)))
% 163.24/162.97 [7992]~P109(x79922)+P24(f333(f333(f250(x79922),f333(x79923,x79924)),f333(x79923,x79925)))+E(f333(f333(f149(x79921,x79922,x79923),x79924),f333(f333(f152(x79921),x79925),x79926)),f333(f333(f152(x79921),x79925),f333(f333(f149(x79921,x79922,x79923),x79924),x79926)))
% 163.24/162.97 [8141]~E(f333(f195(f881(x81411)),x81415),f333(f195(f881(x81412)),x81416))+~E(f333(f195(f881(x81411)),x81413),f333(f195(f881(x81412)),x81414))+E(f333(f333(f127(f889(x81411,x81412)),f333(f333(f182(x81411,x81412),x81413),x81414)),f333(f333(f182(x81411,x81412),x81415),x81416)),f333(f333(f182(x81411,x81412),f333(f333(f127(x81411),x81413),x81415)),f333(f333(f127(x81412),x81414),x81416)))
% 163.24/162.97 [8253]~E(x82532,f333(f312(x82533,x82531,x82534),x82536))+P24(f333(f333(f250(f890(x82531,a874)),x82532),f333(f312(x82533,x82531,x82534),x82535)))+~P24(f333(f333(f250(f890(x82533,a874)),x82536),x82535))
% 163.24/162.97 [8351]~P109(x83515)+E(f333(x83511,x83512),f333(x83511,x83513))+E(f333(f333(f149(x83514,x83515,x83511),x83512),f333(f333(f149(x83514,x83515,x83511),x83513),x83516)),f333(f333(f149(x83514,x83515,x83511),x83513),f333(f333(f149(x83514,x83515,x83511),x83512),x83516)))
% 163.24/162.97 [8389]~P21(x83893,x83891,x83894,x83895)+P21(x83893,x83891,f333(f333(f333(f73(x83893,x83891),x83894),x83896),x83892),x83895)+P24(f333(f333(f335(x83891),x83892),f333(f312(x83893,x83891,x83894),x83895)))
% 163.24/162.97 [8535]~P24(f333(f333(f335(x85352),x85354),f333(x85356,x85353)))+~P24(f333(f333(f335(x85351),x85353),x85355))+P24(f333(f333(f335(f889(x85351,x85352)),f333(f333(f263(x85351,x85352),x85353),x85354)),f333(f333(f270(x85351,x85352),x85355),x85356)))
% 163.24/162.97 [8988]~P69(x89882)+~P21(x89884,x89881,x89885,x89886)+E(f333(f333(f8(x89881,x89882),x89883),f333(f312(x89884,x89881,x89885),x89886)),f333(f333(f8(x89884,x89882),f333(f74(x89881,x89882,x89884,x89883),x89885)),x89886))
% 163.24/162.97 [8989]~P76(x89892)+~P21(x89894,x89891,x89895,x89896)+E(f333(f333(f11(x89891,x89892),x89893),f333(f312(x89894,x89891,x89895),x89896)),f333(f333(f11(x89894,x89892),f333(f74(x89891,x89892,x89894,x89893),x89895)),x89896))
% 163.24/162.97 [9032]~P37(x90322,x90325,x90321,x90323,x90326)+P24(f333(f333(x90321,f333(f333(f166(x90322),x90323),x90324)),f333(f333(f166(x90325),x90326),x90324)))+~P24(f333(f333(f251(a880),x90324),f333(f195(f881(x90325)),x90326)))
% 163.24/162.97 [9033]~P37(x90332,x90335,x90331,x90333,x90336)+P24(f333(f333(x90331,f333(f333(f166(x90332),x90333),x90334)),f333(f333(f166(x90335),x90336),x90334)))+~P24(f333(f333(f251(a880),x90334),f333(f195(f881(x90332)),x90333)))
% 163.24/162.97 [9241]~P15(x92413,x92411,x92416,x92412)+~P24(f333(f63(x92413),x92414))+E(f333(f74(x92411,x92411,x92411,f333(x92412,f333(f333(f3(f890(x92413,a874)),x92414),f333(f333(f311(x92413),x92415),f194(f890(x92413,a874)))))),f333(x92416,x92415)),f333(x92412,f333(f333(f311(x92413),x92415),x92414)))
% 163.24/162.97 [9879]~E(f333(f312(x98792,x98794,x98796),f258(f890(x98792,a874))),f258(f890(x98794,a874)))+~E(f333(f312(x98791,x98793,x98795),f258(f890(x98791,a874))),f258(f890(x98793,a874)))+E(f333(f312(f889(x98791,x98792),f889(x98793,x98794),f273(x98791,x98793,x98792,x98794,x98795,x98796)),f258(f890(f889(x98791,x98792),a874))),f258(f890(f889(x98793,x98794),a874)))
% 163.24/162.97 [9923]~P21(x99233,x99234,x99235,f333(x99236,f721(x99236,x99235,x99234,x99233,x99232,x99231)))+P21(x99233,x99234,x99235,f333(f333(f43(x99232,f890(x99233,a874)),x99231),x99236))+E(x99231,f194(f890(x99232,a874)))
% 163.24/162.97 [9971]P21(x99716,x99715,x99714,f333(f333(f43(x99712,f890(x99716,a874)),x99711),x99713))+E(x99711,f194(f890(x99712,a874)))+P24(f333(f333(f335(x99712),f721(x99713,x99714,x99715,x99716,x99712,x99711)),x99711))
% 163.24/162.97 [9975]P24(f333(f333(f335(x99751),f753(x99752,x99753,x99754,x99755,x99756,x99751)),x99756))+P24(f333(f333(f250(f890(f889(x99751,x99754),a874)),f333(f333(f270(x99751,x99754),x99756),x99753)),f333(f333(f270(x99751,x99754),x99755),x99752)))+~P24(f333(f333(f250(f890(x99751,a874)),x99756),x99755))
% 163.24/162.97 [10013]P20(x100136,x100135,f333(f333(f311(f879(x100136)),f333(f333(f333(f93(x100136),x100134),x100133),x100132)),f194(f890(f879(x100136),a874))))+~P20(x100136,x100135,f333(f333(f311(f879(x100136)),f333(f333(f333(f93(x100136),x100134),x100133),x100131)),f194(f890(f879(x100136),a874))))+P24(f333(f333(x100131,f857(x100132,x100131,x100133,x100134,x100135,x100136)),f865(x100132,x100131,x100133,x100134,x100135,x100136)))
% 163.24/162.97 [10014]P20(x100146,x100145,f333(f333(f311(f879(x100146)),f333(f333(f333(f93(x100146),x100141),x100143),x100142)),f194(f890(f879(x100146),a874))))+~P20(x100146,x100145,f333(f333(f311(f879(x100146)),f333(f333(f333(f93(x100146),x100144),x100143),x100142)),f194(f890(f879(x100146),a874))))+P24(f333(f333(x100141,f873(x100141,x100142,x100143,x100144,x100145,x100146)),f359(x100141,x100142,x100143,x100144,x100145,x100146)))
% 163.24/162.97 [10049]~P20(x100491,x100492,f333(f333(f311(f879(x100491)),f333(f333(f333(f93(x100491),x100493),x100494),x100496)),f194(f890(f879(x100491),a874))))+P20(x100491,x100492,f333(f333(f311(f879(x100491)),f333(f333(f333(f93(x100491),x100493),x100494),x100495)),f194(f890(f879(x100491),a874))))+~P24(f333(f333(x100495,f857(x100495,x100496,x100494,x100493,x100492,x100491)),f865(x100495,x100496,x100494,x100493,x100492,x100491)))
% 163.24/162.97 [10050]~P20(x100501,x100502,f333(f333(f311(f879(x100501)),f333(f333(f333(f93(x100501),x100506),x100504),x100505)),f194(f890(f879(x100501),a874))))+P20(x100501,x100502,f333(f333(f311(f879(x100501)),f333(f333(f333(f93(x100501),x100503),x100504),x100505)),f194(f890(f879(x100501),a874))))+~P24(f333(f333(x100506,f873(x100503,x100505,x100504,x100506,x100502,x100501)),f359(x100503,x100505,x100504,x100506,x100502,x100501)))
% 163.24/162.97 [10092]~P24(f333(f333(f250(f890(x100922,a874)),f333(x100924,f753(x100926,x100924,x100922,x100925,x100923,x100921))),f333(x100926,f753(x100926,x100924,x100922,x100925,x100923,x100921))))+~P24(f333(f333(f250(f890(x100921,a874)),x100923),x100925))+P24(f333(f333(f250(f890(f889(x100921,x100922),a874)),f333(f333(f270(x100921,x100922),x100923),x100924)),f333(f333(f270(x100921,x100922),x100925),x100926)))
% 163.24/162.97 [7730]~P24(f333(x77301,x77305))+~P24(f333(x77306,x77304))+P24(f333(x77301,f333(f271(x77302,x77303),f333(f333(f263(x77302,x77303),x77304),x77305))))
% 163.24/162.97 [7731]~P24(f333(x77311,x77314))+~P24(f333(x77316,x77315))+P24(f333(x77311,f333(f262(x77312,x77313),f333(f333(f263(x77312,x77313),x77314),x77315))))
% 163.24/162.97 [7754]~E(f333(f195(f881(x77541)),x77543),f333(f195(f881(x77544)),x77545))+~E(f333(f333(f178(x77541,x77544),f333(f333(f182(x77541,x77544),x77543),x77545)),x77542),f333(f242(x77544),x77546))+P24(f333(f333(f335(x77541),x77542),f333(f173(x77541),x77543)))
% 163.24/162.97 [7783]~P24(f333(f333(x77834,x77836),x77835))+~P24(f333(f333(f335(x77831),x77836),x77833))+P24(f333(f333(f333(f44(x77831,f890(x77832,a874)),x77833),x77834),x77835))
% 163.24/162.97 [8088]~P24(f333(f333(f335(x80881),x80882),f333(x80885,x80886)))+~P24(f333(f333(f335(x80883),x80886),x80884))+P24(f333(f333(f335(x80881),x80882),f333(f333(f44(x80883,f890(x80881,a874)),x80884),x80885)))
% 163.24/162.97 [8133]P24(f333(f333(x81331,x81332),x81333))+~P24(f333(f333(x81334,x81332),x81333))+~P24(f333(f333(f250(f890(x81335,f890(x81336,a874))),x81334),x81331))
% 163.24/162.97 [8277]P24(f333(f333(x82771,x82772),x82773))+~P24(f333(f333(f335(x82774),x82772),x82775))+~P24(f333(f333(f333(f43(x82774,f890(x82776,a874)),x82775),x82771),x82773))
% 163.24/162.97 [8408]P24(f333(f333(f335(x84081),x84082),f333(x84083,x84084)))+~P24(f333(f333(f335(x84085),x84084),x84086))+~P24(f333(f333(f335(x84081),x84082),f333(f333(f43(x84085,f890(x84081,a874)),x84086),x84083)))
% 163.24/162.97 [8602]~P24(f333(f333(f333(f333(a203,x86021),x86023),x86024),x86026))+~P24(f333(f333(f333(f333(a203,x86022),x86026),x86024),x86025))+P24(f333(f333(f333(f333(a203,f34(x86021,x86022)),x86023),x86024),x86025))
% 163.24/162.97 [8664]~P9(x86644,x86645,x86646,x86641)+E(f333(x86641,x86642),f333(x86641,x86643))+~P24(f333(f333(f335(f889(x86644,x86644)),f333(f333(f263(x86644,x86644),x86642),x86643)),x86646))
% 163.24/162.97 [8694]P24(f333(f333(f250(f890(x86941,a874)),x86942),f333(x86943,x86944)))+~P24(f333(f333(f335(x86945),x86944),x86946))+~P24(f333(f333(f250(f890(x86941,a874)),x86942),f333(f333(f43(x86945,f890(x86941,a874)),x86946),x86943)))
% 163.24/162.97 [8724]~P54(x87243,x87244,f333(f288(x87244,x87243),x87245))+E(x87241,f194(f890(x87242,a874)))+E(f333(f333(f43(x87242,f890(x87243,a874)),x87241),f333(f333(f10(f890(x87244,a874),f890(x87243,a874),x87242),f287(x87244,x87243,x87245)),x87246)),f333(f287(x87244,x87243,x87245),f333(f333(f43(x87242,f890(x87244,a874)),x87241),x87246)))
% 163.24/162.97 [8800]P24(f333(f333(f335(x88001),x88002),f333(f287(x88003,x88001,x88004),x88005)))+~P24(f333(f333(f335(x88003),x88006),x88005))+~P24(f333(f333(f335(f889(x88003,x88001)),f333(f333(f263(x88003,x88001),x88006),x88002)),x88004))
% 163.24/162.97 [8920]P24(f333(x89201,x89202))+~P24(f333(f333(f333(f333(a203,x89204),x89202),x89205),x89206))+P24(f333(f333(f333(f333(a203,f31(x89201,x89203,x89204)),x89202),x89205),x89206))
% 163.24/162.97 [8937]~P24(f333(x89371,x89374))+~P24(f333(f333(f333(f333(a203,x89372),x89374),x89375),x89376))+P24(f333(f333(f333(f333(a203,f31(x89371,x89372,x89373)),x89374),x89375),x89376))
% 163.24/162.97 [9102]P24(f333(f333(f250(f890(x91021,a874)),f333(f287(x91022,x91021,x91023),x91024)),f333(f287(x91022,x91021,x91025),x91026)))+~P24(f333(f333(f250(f890(x91022,a874)),x91024),x91026))+~P24(f333(f333(f250(f890(f889(x91022,x91021),a874)),x91023),x91025))
% 163.24/162.97 [9195]P24(f333(x91951,x91952))+P24(f333(f333(f333(f333(a203,x91953),x91952),x91954),x91955))+~P24(f333(f333(f333(f333(a203,f31(x91951,x91956,x91953)),x91952),x91954),x91955))
% 163.24/162.97 [9200]~P24(f333(x92005,x92002))+P24(f333(f333(f333(f333(a203,x92001),x92002),x92003),x92004))+~P24(f333(f333(f333(f333(a203,f31(x92005,x92001,x92006)),x92002),x92003),x92004))
% 163.24/162.97 [9248]P24(f333(f333(f333(f333(a203,x92481),x92482),x92483),x92484))+P24(f333(f333(f333(f333(a203,x92485),x92482),x92483),x92484))+~P24(f333(f333(f333(f333(a203,f31(x92486,x92481,x92485)),x92482),x92483),x92484))
% 163.24/162.97 [9298]~P24(f333(f333(f335(x92982),x92986),x92984))+~P24(f333(f333(f250(f890(x92981,a874)),x92983),x92985))+P24(f333(f333(f250(f890(f889(x92981,x92982),a874)),f333(f333(f270(x92981,x92982),x92983),f333(f18(f890(x92982,a874),x92981),x92984))),f333(f333(f270(x92981,x92982),x92985),f333(f18(f890(x92982,a874),x92981),x92984))))
% 163.24/162.97 [9306]~P37(x93061,x93062,x93063,x93065,x93066)+P24(f333(f333(f272(x93061,x93062,a874),x93063),x93064))+~P24(f333(f333(f335(f889(x93061,x93062)),x93064),f333(f173(f889(x93061,x93062)),f333(f333(f182(x93061,x93062),x93065),x93066))))
% 163.24/162.97 [9436]~E(x94363,x94365)+P24(f333(f333(f335(f889(f881(x94361),f881(x94361))),f333(f333(f263(f881(x94361),f881(x94361)),f333(f333(f152(x94361),x94362),x94363)),f333(f333(f152(x94361),x94364),x94365))),f158(x94361,x94366)))+~P24(f333(f333(f335(f889(x94361,x94361)),f333(f333(f263(x94361,x94361),x94362),x94364)),x94366))
% 163.24/162.97 [9442]~E(f333(f195(f881(x94421)),x94425),f333(f195(f881(x94422)),x94426))+E(f187(x94421,x94422,f188(x94421,x94422,x94423,f333(f333(f3(f890(x94421,a874)),x94424),f333(f173(x94421),x94425))),x94425,x94426),f188(x94421,x94422,f187(x94421,x94422,x94423,x94425,x94426),x94424))+~P24(f333(f333(f250(f890(x94421,a874)),f333(f173(x94421),x94425)),x94424))
% 163.24/162.97 [9443]~E(f333(f195(f881(x94431)),x94433),f333(f195(f881(x94431)),x94435))+P24(f333(f333(f335(f889(f881(x94431),f881(x94431))),f333(f333(f263(f881(x94431),f881(x94431)),f333(f333(f152(x94431),x94432),x94433)),f333(f333(f152(x94431),x94434),x94435))),f146(x94431,x94436)))+~P24(f333(f333(f335(f889(x94431,x94431)),f333(f333(f263(x94431,x94431),x94432),x94434)),x94436))
% 163.24/162.97 [9477]P24(f333(f333(f335(f889(x94771,x94771)),f333(f333(f263(x94771,x94771),x94772),x94773)),f333(f333(f189(f889(x94771,x94771),a874),f333(a117,x94774)),x94775)))+~P24(f333(f333(f335(f889(x94771,x94771)),f333(f333(f263(x94771,x94771),x94776),x94773)),x94775))+~P24(f333(f333(f335(f889(x94771,x94771)),f333(f333(f263(x94771,x94771),x94772),x94776)),f333(f333(f189(f889(x94771,x94771),a874),x94774),x94775)))
% 163.24/162.97 [9478]P24(f333(f333(f335(f889(x94781,x94781)),f333(f333(f263(x94781,x94781),x94782),x94783)),f333(f333(f189(f889(x94781,x94781),a874),f333(a117,x94784)),x94785)))+~P24(f333(f333(f335(f889(x94781,x94781)),f333(f333(f263(x94781,x94781),x94782),x94786)),x94785))+~P24(f333(f333(f335(f889(x94781,x94781)),f333(f333(f263(x94781,x94781),x94786),x94783)),f333(f333(f189(f889(x94781,x94781),a874),x94784),x94785)))
% 163.24/162.97 [9481]~P24(f333(f333(f335(x94814),x94815),x94816))+P24(f333(f333(f250(f890(x94811,a874)),x94812),x94813))+~P24(f333(f333(f250(f890(f889(x94811,x94814),a874)),f333(f333(f270(x94811,x94814),x94812),f333(f18(f890(x94814,a874),x94811),x94816))),f333(f333(f270(x94811,x94814),x94813),f333(f18(f890(x94814,a874),x94811),x94816))))
% 163.24/162.97 [9537]E(x95371,x95372)+~P24(f333(f333(f335(f889(f881(x95373),f881(x95373))),f333(f333(f263(f881(x95373),f881(x95373)),f333(f333(f152(x95373),x95371),x95375)),f333(f333(f152(x95373),x95372),x95376))),f146(x95373,x95374)))+P24(f333(f333(f335(f889(x95373,x95373)),f333(f333(f263(x95373,x95373),x95371),x95372)),x95374))
% 163.24/162.97 [9538]E(x95381,x95382)+~P24(f333(f333(f335(f889(f881(x95383),f881(x95383))),f333(f333(f263(f881(x95383),f881(x95383)),f333(f333(f152(x95383),x95381),x95385)),f333(f333(f152(x95383),x95382),x95386))),f148(x95383,x95384)))+P24(f333(f333(f335(f889(x95383,x95383)),f333(f333(f263(x95383,x95383),x95381),x95382)),x95384))
% 163.24/162.97 [9539]E(x95391,x95392)+~P24(f333(f333(f335(f889(f881(x95393),f881(x95393))),f333(f333(f263(f881(x95393),f881(x95393)),f333(f333(f152(x95393),x95391),x95395)),f333(f333(f152(x95393),x95392),x95396))),f158(x95393,x95394)))+P24(f333(f333(f335(f889(x95393,x95393)),f333(f333(f263(x95393,x95393),x95391),x95392)),x95394))
% 163.24/162.97 [9572]P24(f333(f333(f335(f889(f881(x95721),f881(x95721))),f333(f333(f263(f881(x95721),f881(x95721)),f333(f333(f152(x95721),x95722),x95723)),f333(f333(f152(x95721),x95724),x95725))),f159(x95721,x95726)))+~P24(f333(f333(f335(f889(f881(x95721),f881(x95721))),f333(f333(f263(f881(x95721),f881(x95721)),x95723),x95725)),f159(x95721,x95726)))+~P24(f333(f333(f335(f889(x95721,x95721)),f333(f333(f263(x95721,x95721),x95722),x95724)),x95726))
% 163.24/162.97 [9598]P24(f333(x95981,x95982))+~P24(f333(x95981,f546(x95981,x95983,x95984,x95985,x95986)))+~P24(f333(f333(f335(x95986),x95982),f333(f333(f44(x95985,f890(x95986,a874)),x95984),x95983)))
% 163.24/162.97 [9603]~P24(f333(f333(f335(f889(f881(x96031),f881(x96031))),f333(f333(f263(f881(x96031),f881(x96031)),f333(f333(f152(x96031),x96032),x96035)),f333(f333(f152(x96031),x96033),x96036))),f146(x96031,x96034)))+P24(f333(f333(f335(f889(f881(x96031),f881(x96031))),f333(f333(f263(f881(x96031),f881(x96031)),x96035),x96036)),f146(x96031,x96034)))+P24(f333(f333(f335(f889(x96031,x96031)),f333(f333(f263(x96031,x96031),x96032),x96033)),x96034))
% 163.24/162.97 [9604]~P24(f333(f333(f335(f889(f881(x96041),f881(x96041))),f333(f333(f263(f881(x96041),f881(x96041)),f333(f333(f152(x96041),x96042),x96045)),f333(f333(f152(x96041),x96043),x96046))),f148(x96041,x96044)))+P24(f333(f333(f335(f889(f881(x96041),f881(x96041))),f333(f333(f263(f881(x96041),f881(x96041)),x96045),x96046)),f148(x96041,x96044)))+P24(f333(f333(f335(f889(x96041,x96041)),f333(f333(f263(x96041,x96041),x96042),x96043)),x96044))
% 163.24/162.97 [9605]~P24(f333(f333(f335(f889(f881(x96051),f881(x96051))),f333(f333(f263(f881(x96051),f881(x96051)),f333(f333(f152(x96051),x96052),x96055)),f333(f333(f152(x96051),x96053),x96056))),f158(x96051,x96054)))+P24(f333(f333(f335(f889(f881(x96051),f881(x96051))),f333(f333(f263(f881(x96051),f881(x96051)),x96055),x96056)),f158(x96051,x96054)))+P24(f333(f333(f335(f889(x96051,x96051)),f333(f333(f263(x96051,x96051),x96052),x96053)),x96054))
% 163.24/162.97 [9693]P24(f333(x96931,x96932))+P24(f333(f333(f335(x96933),f547(x96931,x96934,x96935,x96933,x96936)),x96935))+~P24(f333(f333(f335(x96936),x96932),f333(f333(f44(x96933,f890(x96936,a874)),x96935),x96934)))
% 163.24/162.97 [9704]~E(x97042,x97044)+P24(f333(f333(f335(f889(f881(x97041),f881(x97041))),f333(f333(f263(f881(x97041),f881(x97041)),f333(f333(f127(x97041),x97042),f333(f333(f152(x97041),x97043),f118(x97041)))),f333(f333(f127(x97041),x97044),f333(f333(f152(x97041),x97045),f118(x97041))))),f158(x97041,x97046)))+~P24(f333(f333(f335(f889(x97041,x97041)),f333(f333(f263(x97041,x97041),x97043),x97045)),x97046))
% 163.24/162.97 [9805]E(x98051,x98052)+~P24(f333(f333(f335(f889(f881(x98053),f881(x98053))),f333(f333(f263(f881(x98053),f881(x98053)),f333(f333(f127(x98053),x98055),f333(f333(f152(x98053),x98051),f118(x98053)))),f333(f333(f127(x98053),x98056),f333(f333(f152(x98053),x98052),f118(x98053))))),f158(x98053,x98054)))+P24(f333(f333(f335(f889(x98053,x98053)),f333(f333(f263(x98053,x98053),x98051),x98052)),x98054))
% 163.24/162.97 [9829]~P24(f333(f333(f335(f889(f881(x98291),f881(x98291))),f333(f333(f263(f881(x98291),f881(x98291)),f333(f333(f127(x98291),x98295),f333(f333(f152(x98291),x98292),f118(x98291)))),f333(f333(f127(x98291),x98296),f333(f333(f152(x98291),x98293),f118(x98291))))),f158(x98291,x98294)))+P24(f333(f333(f335(f889(f881(x98291),f881(x98291))),f333(f333(f263(f881(x98291),f881(x98291)),x98295),x98296)),f158(x98291,x98294)))+P24(f333(f333(f335(f889(x98291,x98291)),f333(f333(f263(x98291,x98291),x98292),x98293)),x98294))
% 163.24/162.97 [9852]P24(f333(x98521,x98522))+P24(f333(f333(f335(x98523),f546(x98521,x98524,x98525,x98526,x98523)),f333(x98524,f547(x98521,x98524,x98525,x98526,x98523))))+~P24(f333(f333(f335(x98523),x98522),f333(f333(f44(x98526,f890(x98523,a874)),x98525),x98524)))
% 163.24/162.97 [8816]~P12(x88163,x88164,x88161)+~P24(f333(f63(x88163),x88166))+E(f333(f333(x88161,x88162),f333(f333(f66(x88163,x88164,x88161),x88165),f333(f333(f3(f890(x88163,a874)),x88166),f333(f333(f311(x88163),x88162),f194(f890(x88163,a874)))))),f333(f333(f66(x88163,x88164,x88161),x88165),f333(f333(f311(x88163),x88162),x88166)))
% 163.24/162.97 [8904]~E(f333(f333(f178(x89041,x89042),x89044),x89045),f333(f242(x89042),x89046))+~P24(f333(f333(x89043,x89045),x89046))+E(f333(f333(f178(x89041,x89042),f333(f137(f889(x89041,x89042),f333(f272(x89041,x89042,a874),x89043)),x89044)),x89045),f333(f242(x89042),x89046))
% 163.24/162.97 [9109]~P24(f333(f333(f335(x91095),x91093),x91096))+P24(f333(f333(f250(f890(x91091,a874)),f333(x91092,x91093)),x91094))+~P24(f333(f333(f250(f890(x91091,a874)),f333(f333(f44(x91095,f890(x91091,a874)),x91096),x91092)),x91094))
% 163.24/162.97 [9776]~P6(x97761,x97765,x97764)+P24(f333(f333(f335(f889(x97761,x97761)),f333(f333(f263(x97761,x97761),x97762),x97763)),x97764))+~P24(f333(f333(f335(x97761),x97766),f333(f333(f106(f890(x97761,a874)),f333(f287(x97761,x97761,x97764),f333(f333(f311(x97761),x97762),f194(f890(x97761,a874))))),f333(f287(x97761,x97761,x97764),f333(f333(f311(x97761),x97763),f194(f890(x97761,a874)))))))
% 163.24/162.97 [8570]~P106(x85702)+~E(f333(f333(f81(x85702),f333(f333(f82(x85702),x85704),x85705)),x85701),f333(f333(f81(x85702),f333(f333(f82(x85702),x85703),x85705)),x85706))+E(x85701,f333(f333(f81(x85702),f333(f333(f82(x85702),f333(f333(f3(x85702),x85703),x85704)),x85705)),x85706))
% 163.24/162.97 [8571]~P106(x85711)+~E(f333(f333(f81(x85711),f333(f333(f82(x85711),x85712),x85714)),x85715),f333(f333(f81(x85711),f333(f333(f82(x85711),x85713),x85714)),x85716))+E(f333(f333(f81(x85711),f333(f333(f82(x85711),f333(f333(f3(x85711),x85712),x85713)),x85714)),x85715),x85716)
% 163.24/162.97 [8727]~P106(x87271)+E(f333(f333(f81(x87271),f333(f333(f82(x87271),x87272),x87273)),x87274),f333(f333(f81(x87271),f333(f333(f82(x87271),x87275),x87273)),x87276))+~E(x87276,f333(f333(f81(x87271),f333(f333(f82(x87271),f333(f333(f3(x87271),x87272),x87275)),x87273)),x87274))
% 163.24/162.97 [8728]~P106(x87281)+E(f333(f333(f81(x87281),f333(f333(f82(x87281),x87282),x87283)),x87284),f333(f333(f81(x87281),f333(f333(f82(x87281),x87285),x87283)),x87286))+~E(f333(f333(f81(x87281),f333(f333(f82(x87281),f333(f333(f3(x87281),x87282),x87285)),x87283)),x87284),x87286)
% 163.24/162.97 [9050]~P24(f333(f333(x90504,x90505),x90506))+~P24(f333(f333(x90503,x90505),x90506))+P24(f333(f333(f333(f333(f106(f890(x90501,f890(x90502,a874))),x90503),x90504),x90505),x90506))
% 163.24/162.97 [9314]P24(f333(f333(x93141,x93142),x93143))+P24(f333(f333(x93144,x93142),x93143))+~P24(f333(f333(f333(f333(f115(f890(x93145,f890(x93146,a874))),x93144),x93141),x93142),x93143))
% 163.24/162.97 [9618]~P126(x96181)+~P24(f333(f333(f251(x96181),f333(f333(f81(x96181),f333(f333(f82(x96181),x96184),x96185)),x96182)),f333(f333(f81(x96181),f333(f333(f82(x96181),x96183),x96185)),x96186)))+P24(f333(f333(f251(x96181),x96182),f333(f333(f81(x96181),f333(f333(f82(x96181),f333(f333(f3(x96181),x96183),x96184)),x96185)),x96186)))
% 163.24/162.97 [9619]~P126(x96191)+~P24(f333(f333(f250(x96191),f333(f333(f81(x96191),f333(f333(f82(x96191),x96194),x96195)),x96192)),f333(f333(f81(x96191),f333(f333(f82(x96191),x96193),x96195)),x96196)))+P24(f333(f333(f250(x96191),x96192),f333(f333(f81(x96191),f333(f333(f82(x96191),f333(f333(f3(x96191),x96193),x96194)),x96195)),x96196)))
% 163.24/162.97 [9648]~P126(x96481)+P24(f333(f333(f251(x96481),f333(f333(f81(x96481),f333(f333(f82(x96481),x96482),x96483)),x96484)),f333(f333(f81(x96481),f333(f333(f82(x96481),x96485),x96483)),x96486)))+~P24(f333(f333(f251(x96481),x96484),f333(f333(f81(x96481),f333(f333(f82(x96481),f333(f333(f3(x96481),x96485),x96482)),x96483)),x96486)))
% 163.24/162.97 [9649]~P126(x96491)+P24(f333(f333(f250(x96491),f333(f333(f81(x96491),f333(f333(f82(x96491),x96492),x96493)),x96494)),f333(f333(f81(x96491),f333(f333(f82(x96491),x96495),x96493)),x96496)))+~P24(f333(f333(f250(x96491),x96494),f333(f333(f81(x96491),f333(f333(f82(x96491),f333(f333(f3(x96491),x96495),x96492)),x96493)),x96496)))
% 163.24/162.97 [9764]~P126(x97641)+~P24(f333(f333(f251(x97641),f333(f333(f81(x97641),f333(f333(f82(x97641),x97642),x97644)),x97645)),f333(f333(f81(x97641),f333(f333(f82(x97641),x97643),x97644)),x97646)))+P24(f333(f333(f251(x97641),f333(f333(f81(x97641),f333(f333(f82(x97641),f333(f333(f3(x97641),x97642),x97643)),x97644)),x97645)),x97646))
% 163.24/162.97 [9765]~P126(x97651)+~P24(f333(f333(f250(x97651),f333(f333(f81(x97651),f333(f333(f82(x97651),x97652),x97654)),x97655)),f333(f333(f81(x97651),f333(f333(f82(x97651),x97653),x97654)),x97656)))+P24(f333(f333(f250(x97651),f333(f333(f81(x97651),f333(f333(f82(x97651),f333(f333(f3(x97651),x97652),x97653)),x97654)),x97655)),x97656))
% 163.24/162.97 [9813]~P126(x98131)+P24(f333(f333(f251(x98131),f333(f333(f81(x98131),f333(f333(f82(x98131),x98132),x98133)),x98134)),f333(f333(f81(x98131),f333(f333(f82(x98131),x98135),x98133)),x98136)))+~P24(f333(f333(f251(x98131),f333(f333(f81(x98131),f333(f333(f82(x98131),f333(f333(f3(x98131),x98132),x98135)),x98133)),x98134)),x98136))
% 163.24/162.97 [9814]~P126(x98141)+P24(f333(f333(f250(x98141),f333(f333(f81(x98141),f333(f333(f82(x98141),x98142),x98143)),x98144)),f333(f333(f81(x98141),f333(f333(f82(x98141),x98145),x98143)),x98146)))+~P24(f333(f333(f250(x98141),f333(f333(f81(x98141),f333(f333(f82(x98141),f333(f333(f3(x98141),x98142),x98145)),x98143)),x98144)),x98146))
% 163.24/162.97 [9964]~P69(x99642)+~P24(f333(f63(x99641),x99646))+E(f333(f333(f8(x99641,x99642),f333(f333(f20(x99641,x99642,x99642),f333(f333(f20(x99641,x99642,f890(x99642,x99642)),f333(f333(f10(a874,f890(x99642,f890(x99642,x99642)),x99641),f101(x99642)),x99643)),x99644)),x99645)),x99646),f333(f333(f81(x99642),f333(f333(f8(x99641,x99642),x99644),f333(f333(f106(f890(x99641,a874)),x99646),f333(f255(x99641),x99643)))),f333(f333(f8(x99641,x99642),x99645),f333(f333(f106(f890(x99641,a874)),x99646),f333(f80(f890(x99641,a874)),f333(f255(x99641),x99643))))))
% 163.24/162.97 [10024]P24(f333(f333(f335(x100242),x100244),x100246))+P24(f333(f333(f335(x100242),x100245),x100246))+E(f333(f313(x100241,x100242,f333(f333(f9(x100241,x100242,x100242),f333(f333(f9(x100241,x100242,f890(x100242,x100242)),f333(f333(f10(a874,f890(x100242,f890(x100242,x100242)),x100241),f101(x100242)),f333(f333(f9(x100241,f890(x100241,a874),a874),f335(x100241)),x100243))),x100244)),x100245)),x100246),f194(f890(x100241,a874)))
% 163.24/162.97 [10025]P24(f333(f333(f335(x100252),x100255),x100256))+~P24(f333(f333(f335(x100252),x100254),x100256))+E(f333(f313(x100251,x100252,f333(f333(f9(x100251,x100252,x100252),f333(f333(f9(x100251,x100252,f890(x100252,x100252)),f333(f333(f10(a874,f890(x100252,f890(x100252,x100252)),x100251),f101(x100252)),f333(f333(f9(x100251,f890(x100251,a874),a874),f335(x100251)),x100253))),x100254)),x100255)),x100256),x100253)
% 163.24/162.97 [10026]P24(f333(f333(f335(x100262),x100264),x100266))+~P24(f333(f333(f335(x100262),x100265),x100266))+E(f333(f313(x100261,x100262,f333(f333(f9(x100261,x100262,x100262),f333(f333(f9(x100261,x100262,f890(x100262,x100262)),f333(f333(f10(a874,f890(x100262,f890(x100262,x100262)),x100261),f101(x100262)),f333(f333(f9(x100261,f890(x100261,a874),a874),f335(x100261)),x100263))),x100264)),x100265)),x100266),f333(f80(f890(x100261,a874)),x100263))
% 163.24/162.97 [10027]~P24(f333(f333(f335(x100272),x100274),x100276))+~P24(f333(f333(f335(x100272),x100275),x100276))+E(f333(f313(x100271,x100272,f333(f333(f9(x100271,x100272,x100272),f333(f333(f9(x100271,x100272,f890(x100272,x100272)),f333(f333(f10(a874,f890(x100272,f890(x100272,x100272)),x100271),f101(x100272)),f333(f333(f9(x100271,f890(x100271,a874),a874),f335(x100271)),x100273))),x100274)),x100275)),x100276),f258(f890(x100271,a874)))
% 163.24/162.97 [10191]P20(x101911,x101912,f333(f333(f311(f879(x101911)),f333(f333(f333(f93(x101911),f333(x101913,x101914)),f333(a26,x101914)),f333(x101915,x101914))),f194(f890(f879(x101911),a874))))+~P24(f333(f333(f335(a877),x101914),x101916))+~P20(x101911,f333(f333(f115(f890(f879(x101911),a874)),x101912),f333(f312(a877,f879(x101911),f333(f333(f20(a877,f890(x101911,f890(a876,a874)),f879(x101911)),f333(f333(f20(a877,a875,f890(f890(x101911,f890(a876,a874)),f879(x101911))),f333(f333(f10(f890(x101911,f890(a876,a874)),f890(a875,f890(f890(x101911,f890(a876,a874)),f879(x101911))),a877),f93(x101911)),x101913)),a26)),x101915)),x101916)),f333(f312(a877,f879(x101911),f333(f333(f20(a877,f890(x101911,f890(a876,a874)),f879(x101911)),f333(f333(f20(a877,a875,f890(f890(x101911,f890(a876,a874)),f879(x101911))),f333(f333(f10(f890(x101911,f890(a876,a874)),f890(a875,f890(f890(x101911,f890(a876,a874)),f879(x101911))),a877),f93(x101911)),x101913)),f333(f333(f10(f884(a875),a875,a877),f246(a875)),a28))),x101915)),x101916))
% 163.24/162.97 [8599]E(x85991,x85992)+~P56(x85994,x85995,x85993,x85996,x85997)+~E(f333(x85993,x85991),f333(x85993,x85992))
% 163.24/162.97 [7004]E(f333(f244(f884(x70041),x70042,f197(x70041),x70043),f333(x70044,x70045)),f333(f242(x70041),x70046))+~E(f333(x70044,x70045),f333(f242(x70042),x70047))+~E(f333(x70043,x70047),f333(f242(x70041),x70046))
% 163.24/162.97 [8628]~P4(x86286,x86285,x86287,x86284,x86281)+E(f333(f333(x86281,x86282),x86283),x86284)+P24(f333(f63(x86285),x86283))
% 163.24/162.97 [9463]P44(x94631,x94632,x94633,x94634,x94635,f333(f333(x94633,x94636),x94637))+~E(f333(f333(x94633,x94636),x94637),x94634)+~E(x94635,f194(f890(x94631,a874)))
% 163.24/162.97 [9668]~P24(f333(x96686,x96683))+~P24(f333(f333(f335(f889(x96682,x96682)),f333(f333(f263(x96682,x96682),x96684),x96685)),f333(x96687,x96683)))+P24(f333(f333(f335(f889(f889(x96681,x96682),f889(x96681,x96682))),f333(f333(f263(f889(x96681,x96682),f889(x96681,x96682)),f333(f333(f263(x96681,x96682),x96683),x96684)),f333(f333(f263(x96681,x96682),x96683),x96685))),f285(x96681,x96682,x96686,x96687)))
% 163.24/162.97 [10084]~P44(x100842,x100847,x100843,x100846,x100841,f333(f333(x100843,x100845),x100844))+E(f333(f333(x100843,f755(x100844,x100845,x100841,x100846,x100843,x100847,x100842)),f763(x100844,x100845,x100841,x100846,x100843,x100847,x100842)),f333(f333(x100843,x100845),x100844))+E(x100841,f194(f890(x100842,a874)))
% 163.24/162.97 [10085]~P44(x100857,x100856,x100851,x100854,x100855,f333(f333(x100851,x100852),x100853))+E(f333(f333(x100851,f755(x100853,x100852,x100855,x100854,x100851,x100856,x100857)),f763(x100853,x100852,x100855,x100854,x100851,x100856,x100857)),f333(f333(x100851,x100852),x100853))+E(f333(f333(x100851,x100852),x100853),x100854)
% 163.24/162.97 [9152]~P37(x91521,x91522,x91523,x91525,x91527)+P37(x91521,x91522,x91523,f333(f333(f152(x91521),x91524),x91525),f333(f333(f152(x91522),x91526),x91527))+~P24(f333(f333(x91523,x91524),x91526))
% 163.24/162.97 [9170]P37(x91701,x91702,x91703,x91704,x91705)+~P37(x91701,x91702,x91703,f333(f333(f127(x91701),x91706),x91704),f333(f333(f127(x91702),x91707),x91705))+~E(f333(f195(f881(x91701)),x91706),f333(f195(f881(x91702)),x91707))
% 163.24/162.97 [9171]P37(x91711,x91712,x91713,x91714,x91715)+~P37(x91711,x91712,x91713,f333(f333(f127(x91711),x91714),x91716),f333(f333(f127(x91712),x91715),x91717))+~E(f333(f195(f881(x91711)),x91714),f333(f195(f881(x91712)),x91715))
% 163.24/162.97 [9382]~P37(x93821,x93822,x93823,x93825,x93827)+~P37(x93821,x93822,x93823,x93824,x93826)+P37(x93821,x93822,x93823,f333(f333(f127(x93821),x93824),x93825),f333(f333(f127(x93822),x93826),x93827))
% 163.24/162.97 [9746]~P24(f333(f68(x97461,x97464,x97465,x97466,x97463),x97467))+P24(f333(f68(x97461,x97464,x97465,x97466,f333(f333(f311(x97461),x97462),x97463)),f333(f333(x97465,x97462),x97467)))+P24(f333(f333(f335(x97461),x97462),x97463))
% 163.24/162.97 [9877]~P21(x98773,x98771,x98774,f258(f890(x98773,a874)))+E(f333(f333(f178(x98771,x98772),f333(f333(f155(f889(x98773,x98772),f889(x98771,x98772)),f333(f272(x98773,x98772,f889(x98771,x98772)),f333(f333(f10(x98771,f890(x98772,f889(x98771,x98772)),x98773),f263(x98771,x98772)),x98774))),x98775)),f333(x98774,x98776)),f333(f242(x98772),x98777))+~E(f333(f333(f178(x98773,x98772),x98775),x98776),f333(f242(x98772),x98777))
% 163.24/162.97 [10105]~P44(x101052,x101057,x101056,x101055,x101051,f333(f333(x101056,x101054),x101053))+E(x101051,f194(f890(x101052,a874)))+P24(f333(f333(f335(x101052),f755(x101053,x101054,x101051,x101055,x101056,x101057,x101052)),x101051))
% 163.24/162.97 [10106]~P44(x101065,x101067,x101061,x101064,x101066,f333(f333(x101061,x101062),x101063))+E(f333(f333(x101061,x101062),x101063),x101064)+P24(f333(f333(f335(x101065),f755(x101063,x101062,x101066,x101064,x101061,x101067,x101065)),x101066))
% 163.24/162.97 [6796]~E(x67965,x67967)+~E(x67966,x67964)+E(f333(f333(f333(f333(f73(x67961,f884(x67962)),x67963),x67964),f333(f242(x67962),x67965)),x67966),f333(f242(x67962),x67967))
% 163.24/162.97 [6919]E(x69191,x69192)+~E(f333(x69195,x69191),f333(f242(x69194),x69197))+E(f333(f333(f333(f333(f73(x69193,f884(x69194)),x69195),x69192),f333(f242(x69194),x69196)),x69191),f333(f242(x69194),x69197))
% 163.24/162.97 [7622]E(x76221,x76222)+~E(x76223,x76224)+~E(f333(f333(f333(f333(f73(x76225,f884(x76226)),x76227),x76224),f333(f242(x76226),x76221)),x76223),f333(f242(x76226),x76222))
% 163.24/162.97 [7686]E(x76861,x76862)+E(f333(x76863,x76864),f333(f242(x76865),x76861))+~E(f333(f333(f333(f333(f73(x76866,f884(x76865)),x76863),x76867),f333(f242(x76865),x76862)),x76864),f333(f242(x76865),x76861))
% 163.24/162.97 [7687]E(x76871,x76872)+E(f333(x76873,x76871),f333(f242(x76874),x76875))+~E(f333(f333(f333(f333(f73(x76876,f884(x76874)),x76873),x76872),f333(f242(x76874),x76877)),x76871),f333(f242(x76874),x76875))
% 163.24/162.97 [8842]~P17(x88424,x88425,x88426,x88427,x88421)+~P24(f333(f63(x88425),x88423))+E(f333(f333(x88421,x88422),x88423),f333(f333(f333(f67(x88424,x88425,x88426),x88422),x88427),x88423))
% 163.24/162.97 [8843]~P4(x88434,x88435,x88436,x88437,x88431)+~P24(f333(f63(x88435),x88433))+E(f333(f333(x88431,x88432),x88433),f333(f333(f333(f67(x88434,x88435,x88436),x88432),x88437),x88433))
% 163.24/162.97 [9431]~P20(x94311,x94312,f333(f333(f311(f879(x94311)),f333(f333(f333(f93(x94311),x94313),x94314),x94317)),f194(f890(f879(x94311),a874))))+P20(x94311,x94312,f333(f333(f311(f879(x94311)),f333(f333(f333(f93(x94311),x94313),f34(x94314,x94315)),x94316)),f194(f890(f879(x94311),a874))))+~P20(x94311,x94312,f333(f333(f311(f879(x94311)),f333(f333(f333(f93(x94311),x94317),x94315),x94316)),f194(f890(f879(x94311),a874))))
% 163.24/162.97 [9643]~P19(x96433,x96434,x96435,x96437,x96436,x96431)+~P24(f333(f63(x96434),x96432))+E(f333(x96431,x96432),f333(f333(f333(f67(x96433,x96434,x96435),x96436),x96437),x96432))
% 163.24/162.97 [9809]P44(x98091,x98092,x98093,x98094,x98095,f333(f333(x98093,x98096),x98097))+~P44(x98091,x98092,x98093,x98094,f333(f333(f3(f890(x98091,a874)),x98095),f333(f333(f311(x98091),x98096),f194(f890(x98091,a874)))),x98097)+~P24(f333(f333(f335(x98091),x98096),x98095))
% 163.24/162.97 [10051]~P20(x100511,x100512,f333(f333(f311(f879(x100511)),f333(f333(f333(f93(x100511),f96(x100511,x100513,x100514)),x100515),x100517)),f194(f890(f879(x100511),a874))))+P20(x100511,x100512,f333(f333(f311(f879(x100511)),f333(f333(f333(f93(x100511),x100513),f31(x100514,x100515,x100516)),x100517)),f194(f890(f879(x100511),a874))))+~P20(x100511,x100512,f333(f333(f311(f879(x100511)),f333(f333(f333(f93(x100511),f96(x100511,x100513,f333(f74(a874,a874,a876,a328),x100514))),x100516),x100517)),f194(f890(f879(x100511),a874))))
% 163.24/162.97 [10153]~P44(x101532,x101533,x101534,x101535,x101531,f333(f333(x101534,x101537),x101536))+P44(x101532,x101533,x101534,x101535,f333(f333(f3(f890(x101532,a874)),x101531),f333(f333(f311(x101532),f755(x101536,x101537,x101531,x101535,x101534,x101533,x101532)),f194(f890(x101532,a874)))),f763(x101536,x101537,x101531,x101535,x101534,x101533,x101532))+E(x101531,f194(f890(x101532,a874)))
% 163.24/162.97 [10154]~P44(x101545,x101546,x101541,x101544,x101547,f333(f333(x101541,x101542),x101543))+P44(x101545,x101546,x101541,x101544,f333(f333(f3(f890(x101545,a874)),x101547),f333(f333(f311(x101545),f755(x101543,x101542,x101547,x101544,x101541,x101546,x101545)),f194(f890(x101545,a874)))),f763(x101543,x101542,x101547,x101544,x101541,x101546,x101545))+E(f333(f333(x101541,x101542),x101543),x101544)
% 163.24/162.97 [9159]E(f187(x91591,x91592,x91593,x91594,f333(f333(f160(x91592,x91595),x91596),x91597)),f187(x91591,x91592,x91593,x91594,x91595))+~P24(f333(f333(f251(a880),x91596),f333(f195(f881(x91592)),x91595)))+~P24(f333(f333(f250(a880),f333(f195(f881(x91591)),x91594)),x91596))
% 163.24/162.97 [9451]P24(f333(f333(f250(f890(f889(x94511,x94512),a874)),f333(f333(f290(x94511,x94513,x94512),x94514),x94515)),f333(f333(f290(x94511,x94513,x94512),x94516),x94517)))+~P24(f333(f333(f250(f890(f889(x94513,x94512),a874)),x94515),x94517))+~P24(f333(f333(f250(f890(f889(x94511,x94513),a874)),x94514),x94516))
% 163.24/162.97 [9819]~P24(f333(f333(f335(x98191),x98196),x98195))+P24(f333(f68(x98191,x98192,x98193,x98194,x98195),f333(f333(x98193,x98196),x98197)))+~P24(f333(f68(x98191,x98192,x98193,x98194,f333(f333(f3(f890(x98191,a874)),x98195),f333(f333(f311(x98191),x98196),f194(f890(x98191,a874))))),x98197))
% 163.24/162.97 [10229]~P144(x102291)+~P21(f889(x102292,x102293),x102291,f333(f272(x102292,x102293,x102291),f333(f333(f9(x102292,f890(x102293,x102291),f890(x102293,x102291)),f333(f333(f10(f890(x102291,x102291),f890(f890(x102293,x102291),f890(x102293,x102291)),x102292),f10(x102291,x102291,x102293)),f333(f333(f10(x102291,f890(x102291,x102291),x102292),f82(x102291)),x102294))),x102295)),f333(f333(f270(x102292,x102293),x102296),f333(f18(f890(x102293,a874),x102292),x102297)))+E(f333(f333(f8(x102291,x102291),f35(x102291)),f333(f255(x102291),f333(f333(f10(f890(x102292,a874),a874,x102291),f87(x102292)),f333(f333(f10(f890(x102292,f890(x102293,a874)),f890(x102292,a874),x102291),f333(f10(f890(x102293,a874),a874,x102292),f87(x102293))),f333(f333(f9(x102291,f890(x102292,f890(x102293,a874)),f890(x102292,f890(x102293,a874))),f333(f333(f10(f890(x102292,f890(f890(x102293,a874),f890(x102293,a874))),f890(f890(x102292,f890(x102293,a874)),f890(x102292,f890(x102293,a874))),x102291),f20(x102292,f890(x102293,a874),f890(x102293,a874))),f333(f333(f10(f890(x102292,f890(x102293,f890(a874,a874))),f890(x102292,f890(f890(x102293,a874),f890(x102293,a874))),x102291),f333(f10(f890(x102293,f890(a874,a874)),f890(f890(x102293,a874),f890(x102293,a874)),x102292),f20(x102293,a874,a874))),f333(f333(f10(f890(x102292,f890(x102293,a874)),f890(x102292,f890(x102293,f890(a874,a874))),x102291),f333(f10(f890(x102293,a874),f890(x102293,f890(a874,a874)),x102292),f333(f10(a874,f890(a874,a874),x102293),a331))),f333(f333(f9(x102291,f890(x102292,f890(x102293,x102291)),f890(x102292,f890(x102293,a874))),f333(f333(f10(f890(f890(x102293,x102291),f890(x102293,a874)),f890(f890(x102292,f890(x102293,x102291)),f890(x102292,f890(x102293,a874))),x102291),f10(f890(x102293,x102291),f890(x102293,a874),x102292)),f333(f333(f10(f890(x102291,a874),f890(f890(x102293,x102291),f890(x102293,a874)),x102291),f10(x102291,a874,x102293)),a330))),f333(f333(f9(x102292,f890(x102293,x102291),f890(x102293,x102291)),f333(f333(f10(f890(x102291,x102291),f890(f890(x102293,x102291),f890(x102293,x102291)),x102292),f10(x102291,x102291,x102293)),f333(f333(f10(x102291,f890(x102291,x102291),x102292),f82(x102291)),x102294))),x102295)))))),f333(f333(f9(x102292,f890(x102293,a874),f890(x102293,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x102293,a874),f890(x102293,a874)),x102292),f10(a874,a874,x102293)),f333(f333(f10(a874,f890(a874,a874),x102292),a331),f333(f333(f9(x102292,f890(x102292,a874),a874),f335(x102292)),x102296)))),f333(f333(f9(x102293,f890(x102293,a874),a874),f335(x102293)),x102297))))))),f333(f333(f82(x102291),f333(f333(f8(x102292,x102291),x102294),x102296)),f333(f333(f8(x102293,x102291),x102295),x102297)))
% 163.24/162.97 [9906]P53(x99061,x99062,x99063,x99064,x99065,x99066,x99067)+~P24(f333(f333(x99064,x99066),x99068))+~P24(f333(f333(x99065,x99068),x99067))
% 163.24/162.97 [9218]~P15(x92188,x92181,x92183,x92185)+~P24(f333(f63(x92188),x92186))+E(f333(f74(x92181,x92181,x92182,f333(x92183,x92184)),f333(f74(x92181,x92181,x92182,f333(x92185,x92186)),x92187)),f333(f74(x92181,x92181,x92182,f333(x92185,x92186)),f333(f74(x92181,x92181,x92182,f333(x92183,x92184)),x92187)))
% 163.24/162.97 [9629]~P18(x96297,x96292,x96295,x96298,x96296,x96291)+~P24(f333(f63(x96292),x96294))+E(f333(x96291,f333(f333(f311(x96292),x96293),x96294)),f333(f333(x96295,f333(x96296,x96293)),f333(x96291,x96294)))
% 163.24/162.97 [9762]~P21(x97622,x97624,x97626,x97628)+~P21(x97621,x97623,x97625,x97627)+P21(f889(x97621,x97622),f889(x97623,x97624),f273(x97621,x97623,x97622,x97624,x97625,x97626),f333(f333(f270(x97621,x97622),x97627),f333(f18(f890(x97622,a874),x97621),x97628)))
% 163.24/162.97 [9399]P24(f333(f333(f335(f889(x93991,x93992)),f333(f333(f263(x93991,x93992),x93993),x93994)),f333(f333(f290(x93991,x93995,x93992),x93996),x93997)))+~P24(f333(f333(f335(f889(x93991,x93995)),f333(f333(f263(x93991,x93995),x93993),x93998)),x93996))+~P24(f333(f333(f335(f889(x93995,x93992)),f333(f333(f263(x93995,x93992),x93998),x93994)),x93997))
% 163.24/162.97 [9606]~P24(f333(f333(f250(f890(f889(x96063,x96062),a874)),x96065),f333(f333(f270(x96063,x96062),x96068),f333(f18(f890(x96062,a874),x96063),x96067))))+~P24(f333(f333(f250(f890(f889(x96061,x96063),a874)),x96064),f333(f333(f270(x96061,x96063),x96066),f333(f18(f890(x96063,a874),x96061),x96068))))+P24(f333(f333(f250(f890(f889(x96061,x96062),a874)),f333(f333(f290(x96061,x96063,x96062),x96064),x96065)),f333(f333(f270(x96061,x96062),x96066),f333(f18(f890(x96062,a874),x96061),x96067))))
% 163.24/162.97 [9663]~E(x96633,x96635)+P24(f333(f333(f335(f889(f889(x96631,x96632),f889(x96631,x96632))),f333(f333(f263(f889(x96631,x96632),f889(x96631,x96632)),f333(f333(f263(x96631,x96632),x96633),x96634)),f333(f333(f263(x96631,x96632),x96635),x96636))),f326(x96631,x96632,x96637,x96638)))+~P24(f333(f333(f335(f889(x96632,x96632)),f333(f333(f263(x96632,x96632),x96634),x96636)),x96638))
% 163.24/162.97 [9788]E(x97881,x97882)+~P24(f333(f333(f335(f889(f889(x97883,x97885),f889(x97883,x97885))),f333(f333(f263(f889(x97883,x97885),f889(x97883,x97885)),f333(f333(f263(x97883,x97885),x97881),x97886)),f333(f333(f263(x97883,x97885),x97882),x97887))),f326(x97883,x97885,x97884,x97888)))+P24(f333(f333(f335(f889(x97883,x97883)),f333(f333(f263(x97883,x97883),x97881),x97882)),x97884))
% 163.24/162.97 [9804]~P24(f333(f333(f335(f889(f889(x98041,x98045),f889(x98041,x98045))),f333(f333(f263(f889(x98041,x98045),f889(x98041,x98045)),f333(f333(f263(x98041,x98045),x98042),x98046)),f333(f333(f263(x98041,x98045),x98043),x98047))),f326(x98041,x98045,x98044,x98048)))+P24(f333(f333(f335(f889(x98041,x98041)),f333(f333(f263(x98041,x98041),x98042),x98043)),x98044))+P24(f333(f333(f335(f889(x98045,x98045)),f333(f333(f263(x98045,x98045),x98046),x98047)),x98048))
% 163.24/162.97 [9694]~P19(x96947,x96945,x96941,x96948,x96942,x96944)+~P24(f333(f63(x96945),x96946))+E(f333(f333(x96941,f333(x96942,x96943)),f333(x96944,f333(f333(f3(f890(x96945,a874)),x96946),f333(f333(f311(x96945),x96943),f194(f890(x96945,a874)))))),f333(x96944,f333(f333(f311(x96945),x96943),x96946)))
% 163.24/162.97 [9178]~P24(f333(f333(f333(x91785,x91788),x91786),x91787))+~P24(f333(f333(f335(x91781),x91788),x91784))+P24(f333(f333(f333(f333(f44(x91781,f890(x91782,f890(x91783,a874))),x91784),x91785),x91786),x91787))
% 163.24/162.97 [9390]P24(f333(f333(f333(x93901,x93902),x93903),x93904))+~P24(f333(f333(f335(x93905),x93902),x93906))+~P24(f333(f333(f333(f333(f43(x93905,f890(x93907,f890(x93908,a874))),x93906),x93901),x93903),x93904))
% 163.24/162.97 [9599]~P17(x95993,x95992,x95994,x95998,x95991)+~P24(f333(f63(x95992),x95997))+E(f333(f333(x95991,f333(f333(f20(x95992,x95993,x95993),f333(f333(f10(x95993,f890(x95993,x95993),x95992),x95994),x95995)),x95996)),x95997),f333(f333(x95994,f333(f333(x95991,x95995),x95997)),f333(f333(x95991,x95996),x95997)))
% 163.24/162.97 [9885]~E(f333(f312(x98852,x98854,x98856),x98858),x988510)+~E(f333(f312(x98851,x98853,x98855),x98857),x98859)+E(f333(f312(f889(x98851,x98852),f889(x98853,x98854),f273(x98851,x98853,x98852,x98854,x98855,x98856)),f333(f333(f270(x98851,x98852),x98857),f333(f18(f890(x98852,a874),x98851),x98858))),f333(f333(f270(x98853,x98854),x98859),f333(f18(f890(x98854,a874),x98853),x988510)))
% 163.24/162.97 [4862]~P109(x48622)+~P31(x48622,x48621)+P31(x48622,f119(x48622,x48621))+E(x48621,f118(x48622))
% 163.24/162.97 [4863]~P109(x48632)+~P31(x48632,x48631)+P31(x48632,f645(x48631,x48632))+E(x48631,f118(x48632))
% 163.24/162.97 [5094]~P29(x50942)+E(f12(x50942,x50941),f41(x50942,x50941))+E(x50941,f194(f890(x50942,a874)))+~P24(f333(f63(x50942),x50941))
% 163.24/162.97 [5095]~P29(x50952)+E(f13(x50952,x50951),f42(x50952,x50951))+E(x50951,f194(f890(x50952,a874)))+~P24(f333(f63(x50952),x50951))
% 163.24/162.97 [5255]~P109(x52552)+~P31(x52552,x52551)+E(x52551,f118(x52552))+E(f333(f333(f152(x52552),f678(x52551,x52552)),f645(x52551,x52552)),x52551)
% 163.24/162.97 [6048]~P26(x60482)+E(x60481,f194(f890(x60482,a874)))+P24(f333(f333(f250(x60482),f13(x60482,x60481)),f12(x60482,x60481)))+~P24(f333(f63(x60482),x60481))
% 163.24/162.97 [6060]~P42(x60602)+~P42(x60601)+E(x60601,x60602)+~E(f333(f312(a1,a880,a109),x60601),f333(f312(a1,a880,a109),x60602))
% 163.24/162.97 [9034]~P120(x90341)+~P24(f333(f333(f335(x90341),x90342),f114(x90341)))+P24(f333(f333(f251(x90341),f333(f333(f81(x90341),f333(f333(f81(x90341),f79(x90341)),x90342)),x90342)),f2(x90341)))+~P24(f333(f333(f251(x90341),x90342),f2(x90341)))
% 163.24/162.97 [9276]~P120(x92761)+~P24(f333(f333(f335(x92761),x92762),f114(x92761)))+~P24(f333(f333(f251(x92761),f333(f333(f81(x92761),f333(f333(f81(x92761),f79(x92761)),x92762)),x92762)),f2(x92761)))+P24(f333(f333(f251(x92761),x92762),f2(x92761)))
% 163.24/162.97 [4918]~P113(x49182)+~P144(x49182)+E(x49181,f2(a880))+E(f333(f333(f264(x49182),f2(x49182)),x49181),f2(x49182))
% 163.24/162.97 [4922]~P113(x49221)+~P144(x49221)+~E(x49222,f2(a880))+E(f333(f333(f264(x49221),f2(x49221)),x49222),f79(x49221))
% 163.24/162.97 [5081]~P139(x50812)+E(x50811,f79(x50812))+E(x50811,f333(f80(x50812),f79(x50812)))+~E(f333(f333(f82(x50812),x50811),x50811),f79(x50812))
% 163.24/162.97 [5338]~P90(x53382)+E(x53381,f2(x53382))+E(f83(x53382,x53381),f333(f80(x53382),f79(x53382)))+P24(f333(f333(f251(x53382),f2(x53382)),x53381))
% 163.24/162.97 [5569]~P90(x55692)+E(f83(x55692,x55691),f79(x55692))+E(x55691,f2(x55692))+~P24(f333(f333(f251(x55692),f2(x55692)),x55691))
% 163.24/162.97 [5578]E(x55781,x55782)+~E(f333(f108(a880),x55781),f333(f108(a880),x55782))+P24(f333(a200,f333(f108(a1),x55782)))+P24(f333(a200,f333(f108(a1),x55781)))
% 163.24/162.97 [5629]~P93(x56291)+~E(x56292,f2(x56291))+E(f333(f333(f81(x56291),x56292),x56292),f2(x56291))+~P24(f333(f333(f335(x56291),x56292),f114(x56291)))
% 163.24/162.97 [5667]E(x56671,f2(a1))+~E(f333(f333(f40(a1),x56672),x56671),f2(a1))+P24(f333(f333(f251(a1),x56671),x56672))+P24(f333(f333(f251(a1),x56672),x56671))
% 163.24/162.97 [5698]E(x56981,f2(a1))+~E(f333(f333(f40(a1),x56982),x56981),f2(a1))+P24(f333(f333(f250(a1),x56982),f2(a1)))+P24(f333(f333(f251(a1),x56982),x56981))
% 163.24/162.97 [5731]E(x57311,f2(a1))+~E(f333(f333(f40(a1),x57312),x57311),f2(a1))+P24(f333(f333(f250(a1),f2(a1)),x57312))+P24(f333(f333(f251(a1),x57311),x57312))
% 163.24/162.97 [5767]~P93(x57672)+E(x57671,f2(x57672))+~E(f333(f333(f81(x57672),x57671),x57671),f2(x57672))+~P24(f333(f333(f335(x57672),x57671),f114(x57672)))
% 163.24/162.97 [5827]E(f333(f108(a880),x58271),f333(f108(a880),x58272))+~E(f333(f108(a1),x58272),f2(a1))+P24(f333(a200,f333(f108(a1),x58272)))+~P24(f333(a200,f333(f108(a1),x58271)))
% 163.24/162.97 [5854]~E(f333(f108(a880),x58542),f333(f108(a880),x58541))+E(f333(f108(a1),x58541),f2(a1))+P24(f333(a200,f333(f108(a1),x58541)))+~P24(f333(a200,f333(f108(a1),x58542)))
% 163.24/162.97 [5863]~P109(x58632)+E(x58631,f194(f890(x58632,a874)))+~P24(f333(f63(x58632),x58631))+P24(f333(f333(f335(x58632),f16(x58632,x58631)),x58631))
% 163.24/162.97 [5864]~P109(x58642)+E(x58641,f194(f890(x58642,a874)))+~P24(f333(f63(x58642),x58641))+P24(f333(f333(f335(x58642),f17(x58642,x58641)),x58641))
% 163.24/162.97 [6028]~P120(x60281)+~P94(x60281)+P24(f333(f333(f251(x60281),f2(x60281)),f333(f108(x60281),x60282)))+~P24(f333(f333(f251(a1),a84),x60282))
% 163.24/162.97 [6029]~P120(x60291)+~P94(x60291)+P24(f333(f333(f250(x60291),f2(x60291)),f333(f108(x60291),x60292)))+~P24(f333(f333(f250(a1),a84),x60292))
% 163.24/162.97 [6047]~P120(x60471)+~P94(x60471)+E(f333(f76(x60471),f333(f108(x60471),x60472)),f333(f108(x60471),x60472))+P24(f333(f333(f251(x60471),f333(f108(x60471),x60472)),f2(x60471)))
% 163.24/162.97 [6087]E(x60871,x60872)+~E(f333(a109,x60871),f333(a109,x60872))+~P24(f333(f333(f250(a1),f2(a1)),x60872))+~P24(f333(f333(f250(a1),f2(a1)),x60871))
% 163.24/162.97 [6280]~P94(x62802)+~P120(x62802)+~P24(f333(f333(f251(x62802),f2(x62802)),f333(f108(x62802),x62801)))+P24(f333(f333(f251(a1),a84),x62801))
% 163.24/162.97 [6281]~P94(x62812)+~P120(x62812)+~P24(f333(f333(f250(x62812),f2(x62812)),f333(f108(x62812),x62811)))+P24(f333(f333(f250(a1),a84),x62811))
% 163.24/162.97 [6286]~P120(x62861)+~P94(x62861)+P24(f333(f333(f251(x62861),f333(f108(x62861),x62862)),f2(x62861)))+~P24(f333(f333(f251(a1),x62862),a84))
% 163.24/162.97 [6287]~P120(x62871)+~P94(x62871)+P24(f333(f333(f250(x62871),f333(f108(x62871),x62872)),f2(x62871)))+~P24(f333(f333(f250(a1),x62872),a84))
% 163.24/162.97 [6590]~P94(x65902)+~P120(x65902)+~P24(f333(f333(f251(x65902),f333(f108(x65902),x65901)),f2(x65902)))+P24(f333(f333(f251(a1),x65901),a84))
% 163.24/162.97 [6591]~P94(x65912)+~P120(x65912)+~P24(f333(f333(f250(x65912),f333(f108(x65912),x65911)),f2(x65912)))+P24(f333(f333(f250(a1),x65911),a84))
% 163.24/162.97 [6682]~P120(x66821)+~P94(x66821)+E(f333(f76(x66821),f333(f108(x66821),x66822)),f333(f80(x66821),f333(f108(x66821),x66822)))+~P24(f333(f333(f251(x66821),f333(f108(x66821),x66822)),f2(x66821)))
% 163.24/162.97 [6700]E(f333(f108(a880),x67001),f333(f108(a880),x67002))+~E(f333(f108(a1),x67002),f2(a1))+~P24(f333(f333(f250(a1),f333(f108(a1),x67001)),f2(a1)))+~P24(f333(a200,f333(f108(a1),x67001)))
% 163.24/162.97 [7555]~P109(x75552)+E(x75551,f194(f890(x75552,a874)))+~P24(f333(f63(x75552),x75551))+P24(f333(f333(f250(x75552),f14(x75552,f248(x75552),x75551)),f15(x75552,f249(x75552),x75551)))
% 163.24/162.97 [7867]~P42(x78672)+~P30(x78671)+P24(f333(f333(f335(a1),x78671),x78672))+~P24(f333(f333(f335(a880),f333(a109,x78671)),f333(f312(a1,a880,a109),x78672)))
% 163.24/162.97 [8144]~P62(x81442)+P24(f333(x81441,f197(x81442)))+~P24(f333(f59(f884(x81442)),x81441))+P24(f333(f59(x81442),f333(f333(f10(f884(x81442),a874,x81442),x81441),f242(x81442))))
% 163.24/162.97 [8607]~P62(x86071)+~P24(f333(x86072,f197(x86071)))+P24(f333(f60(f884(x86071)),x86072))+~P24(f333(f60(x86071),f333(f333(f10(f884(x86071),a874,x86071),x86072),f242(x86071))))
% 163.24/162.97 [5860]~P140(x58602)+E(x58601,f2(a1))+E(f333(f80(x58602),f333(f107(x58602),f333(f80(a1),x58601))),f333(f107(x58602),x58601))+~P24(f333(f333(f251(a1),x58601),f2(a1)))
% 163.24/162.97 [6268]~P77(x62682)+E(x62681,f194(f890(x62682,a874)))+E(f17(x62682,f333(f312(x62682,x62682,f80(x62682)),x62681)),f333(f80(x62682),f16(x62682,x62681)))+~P24(f333(f63(x62682),x62681))
% 163.24/162.97 [6269]~P77(x62692)+E(x62691,f194(f890(x62692,a874)))+E(f16(x62692,f333(f312(x62692,x62692,f80(x62692)),x62691)),f333(f80(x62692),f17(x62692,x62691)))+~P24(f333(f63(x62692),x62691))
% 163.24/162.97 [6389]E(x63891,f2(a1))+E(f333(a52,f51(f333(f80(a1),x63891),f333(f80(a1),x63892))),f47(x63891,x63892))+P24(f333(f333(f250(a1),f2(a1)),x63892))+~P24(f333(f333(f250(a1),f2(a1)),x63891))
% 163.24/162.97 [8361]~P1(a5000)+~P24(f333(a25,x83611))+P20(a876,x83612,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),x83611),f201(x83611))),f194(f890(f879(a876),a874))))+P24(f333(f333(f335(a877),f556(x83611,x83612)),f184(a877,a875,a28)))
% 163.24/162.97 [8645]~P42(x86452)+~P42(x86451)+P24(f333(f333(f251(f890(a880,a874)),f333(f312(a1,a880,a109),x86451)),f333(f312(a1,a880,a109),x86452)))+~P24(f333(f333(f251(f890(a1,a874)),x86451),x86452))
% 163.24/162.97 [8860]~E(f695(x88602,x88601),f696(x88602,x88601))+~P24(f333(f138(x88601),f697(x88602,x88601)))+~P24(f333(f138(f881(x88601)),x88602))+P24(f333(f138(x88601),f333(f143(f881(x88601),f881(x88601),f127(x88601),f118(x88601)),x88602)))
% 163.24/162.97 [8958]~P42(x89582)+~P42(x89581)+~P24(f333(f333(f251(f890(a880,a874)),f333(f312(a1,a880,a109),x89581)),f333(f312(a1,a880,a109),x89582)))+P24(f333(f333(f251(f890(a1,a874)),x89581),x89582))
% 163.24/162.97 [8959]~P42(x89592)+~P42(x89591)+~P24(f333(f333(f250(f890(a880,a874)),f333(f312(a1,a880,a109),x89591)),f333(f312(a1,a880,a109),x89592)))+P24(f333(f333(f250(f890(a1,a874)),x89591),x89592))
% 163.24/162.97 [8965]~E(f695(x89652,x89651),f696(x89652,x89651))+~P24(f333(f138(f881(x89651)),x89652))+P24(f333(f138(x89651),f333(f143(f881(x89651),f881(x89651),f127(x89651),f118(x89651)),x89652)))+P24(f333(f333(f335(f881(x89651)),f697(x89652,x89651)),f333(f173(f881(x89651)),x89652)))
% 163.24/162.97 [9006]~P24(f333(f138(x90061),f697(x90062,x90061)))+~P24(f333(f138(f881(x90061)),x90062))+P24(f333(f138(x90061),f333(f143(f881(x90061),f881(x90061),f127(x90061),f118(x90061)),x90062)))+P24(f333(f333(f335(f881(x90061)),f696(x90062,x90061)),f333(f173(f881(x90061)),x90062)))
% 163.24/162.97 [9007]~P24(f333(f138(x90071),f697(x90072,x90071)))+~P24(f333(f138(f881(x90071)),x90072))+P24(f333(f138(x90071),f333(f143(f881(x90071),f881(x90071),f127(x90071),f118(x90071)),x90072)))+P24(f333(f333(f335(f881(x90071)),f695(x90072,x90071)),f333(f173(f881(x90071)),x90072)))
% 163.24/162.97 [9068]~P24(f333(f138(f881(x90681)),x90682))+P24(f333(f138(x90681),f333(f143(f881(x90681),f881(x90681),f127(x90681),f118(x90681)),x90682)))+P24(f333(f333(f335(f881(x90681)),f696(x90682,x90681)),f333(f173(f881(x90681)),x90682)))+P24(f333(f333(f335(f881(x90681)),f697(x90682,x90681)),f333(f173(f881(x90681)),x90682)))
% 163.24/162.97 [9069]~P24(f333(f138(f881(x90691)),x90692))+P24(f333(f138(x90691),f333(f143(f881(x90691),f881(x90691),f127(x90691),f118(x90691)),x90692)))+P24(f333(f333(f335(f881(x90691)),f695(x90692,x90691)),f333(f173(f881(x90691)),x90692)))+P24(f333(f333(f335(f881(x90691)),f697(x90692,x90691)),f333(f173(f881(x90691)),x90692)))
% 163.24/162.97 [9082]~E(f333(f333(f106(f890(x90821,a874)),f333(f173(x90821),f696(x90822,x90821))),f333(f173(x90821),f695(x90822,x90821))),f194(f890(x90821,a874)))+~P24(f333(f138(x90821),f697(x90822,x90821)))+~P24(f333(f138(f881(x90821)),x90822))+P24(f333(f138(x90821),f333(f143(f881(x90821),f881(x90821),f127(x90821),f118(x90821)),x90822)))
% 163.24/162.97 [9155]~E(f333(f333(f106(f890(x91551,a874)),f333(f173(x91551),f696(x91552,x91551))),f333(f173(x91551),f695(x91552,x91551))),f194(f890(x91551,a874)))+~P24(f333(f138(f881(x91551)),x91552))+P24(f333(f138(x91551),f333(f143(f881(x91551),f881(x91551),f127(x91551),f118(x91551)),x91552)))+P24(f333(f333(f335(f881(x91551)),f697(x91552,x91551)),f333(f173(f881(x91551)),x91552)))
% 163.24/162.97 [9423]E(x94231,f2(a1))+E(x94232,f2(a1))+E(f333(f333(f89(a1,f889(a1,a1)),f333(f333(a227,x94232),x94231)),f333(f333(f20(a1,a1,f889(a1,a1)),f333(f333(f10(a1,f890(a1,f889(a1,a1)),a1),f263(a1,a1)),f333(f40(a1),x94232))),f333(f40(a1),x94231))),f225(x94232,x94231))+P24(f333(f333(f251(a1),x94231),f2(a1)))
% 163.24/162.97 [9492]~P1(a5000)+~P24(f333(a25,x94922))+P20(a876,x94921,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),x94922),f201(x94922))),f194(f890(f879(a876),a874))))+~P20(a876,x94921,f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),f333(a26,f556(x94922,x94921))),f201(f333(a26,f556(x94922,x94921))))),f194(f890(f879(a876),a874))))
% 163.24/162.97 [8326]~P94(x83262)+~P120(x83262)+~P24(f333(f333(f251(x83262),f333(f108(x83262),x83261)),f79(x83262)))+P24(f333(f333(f251(a1),x83261),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))
% 163.24/162.97 [8327]~P94(x83272)+~P120(x83272)+~P24(f333(f333(f250(x83272),f333(f108(x83272),x83271)),f79(x83272)))+P24(f333(f333(f250(a1),x83271),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))
% 163.24/162.97 [8610]~P120(x86101)+~P94(x86101)+P24(f333(f333(f251(x86101),f333(f108(x86101),x86102)),f79(x86101)))+~P24(f333(f333(f251(a1),x86102),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))
% 163.24/162.97 [8611]~P120(x86111)+~P94(x86111)+P24(f333(f333(f250(x86111),f333(f108(x86111),x86112)),f79(x86111)))+~P24(f333(f333(f250(a1),x86112),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)))
% 163.24/162.97 [8794]~P94(x87942)+~P120(x87942)+~P24(f333(f333(f251(x87942),f79(x87942)),f333(f108(x87942),x87941)))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),x87941))
% 163.24/162.97 [8795]~P94(x87952)+~P120(x87952)+~P24(f333(f333(f250(x87952),f79(x87952)),f333(f108(x87952),x87951)))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),x87951))
% 163.24/162.97 [9145]~P120(x91451)+~P94(x91451)+P24(f333(f333(f251(x91451),f79(x91451)),f333(f108(x91451),x91452)))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),x91452))
% 163.24/162.97 [9146]~P120(x91461)+~P94(x91461)+P24(f333(f333(f250(x91461),f79(x91461)),f333(f108(x91461),x91462)))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84)),x91462))
% 163.24/162.97 [9274]~P93(x92741)+~P94(x92741)+~P33(x92741,f333(f108(x92741),x92742))+P33(x92741,f333(f108(x92741),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x92742)),x92742)),a102)))
% 163.24/162.97 [9490]~P93(x94901)+~P94(x94901)+P33(x94901,f333(f108(x94901),x94902))+~P33(x94901,f333(f108(x94901),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),x94902)),x94902)),a102)))
% 163.24/162.97 [10001]~P139(x100012)+E(x100011,f79(x100012))+E(x100011,f333(f80(x100012),f79(x100012)))+~E(f333(f333(f264(x100012),x100011),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f79(x100012))
% 163.24/162.97 [10079]~P65(x100791)+~P94(x100791)+~P24(f333(f333(f251(x100791),f2(x100791)),x100792))+P24(f333(f333(f251(x100791),f2(x100791)),f333(f333(f291(x100791),x100792),f333(f108(x100791),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.24/162.97 [10114]~P65(x101141)+~P94(x101141)+P24(f333(f333(f251(x101141),f2(x101141)),x101142))+~P24(f333(f333(f251(x101141),f2(x101141)),f333(f333(f291(x101141),x101142),f333(f108(x101141),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.24/162.97 [10190]~P140(x101902)+E(x101901,f2(a1))+P24(f333(f333(f251(a1),x101901),f2(a1)))+E(f333(f333(f272(a1,a1,x101902),f333(f333(f9(a1,f890(a1,f890(x101902,x101902)),f890(a1,x101902)),f333(f333(f10(f890(f890(x101902,x101902),x101902),f890(f890(a1,f890(x101902,x101902)),f890(a1,x101902)),a1),f10(f890(x101902,x101902),x101902,a1)),f333(f333(f10(x101902,f890(f890(x101902,x101902),x101902),a1),f89(x101902,x101902)),f107(x101902)))),f333(f333(f9(a1,f890(x101902,x101902),f890(x101902,x101902)),f333(f333(f10(f890(x101902,f890(x101902,x101902)),f890(f890(x101902,x101902),f890(x101902,x101902)),a1),f20(x101902,x101902,x101902)),f333(f333(f9(a1,f890(x101902,x101902),f890(x101902,f890(x101902,x101902))),f333(f333(f10(f890(x101902,f890(x101902,x101902)),f890(f890(x101902,x101902),f890(x101902,f890(x101902,x101902))),a1),f10(x101902,f890(x101902,x101902),x101902)),f333(f333(f10(a874,f890(x101902,f890(x101902,x101902)),a1),f101(x101902)),f333(f333(f9(a1,a1,a874),a330),f2(a1))))),f333(f333(f20(x101902,x101902,x101902),f81(x101902)),f7(x101902))))),f333(f333(f9(x101902,x101902,x101902),f333(f333(f10(x101902,f890(x101902,x101902),x101902),f81(x101902)),f333(f333(f20(x101902,x101902,x101902),f81(x101902)),f7(x101902)))),f79(x101902))))),f47(x101901,f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f107(x101902),x101901))
% 163.24/162.97 [5250]~P62(x52503)+~P38(x52503,x52502,f57(x52503))+E(x52501,f741(x52502,x52503))+~P24(f333(x52502,x52501))
% 163.24/162.97 [5408]~P62(x54081)+P38(x54081,x54082,f57(x54081))+~E(f742(x54082,x54081,x54083),x54083)+~P24(f333(x54082,x54083))
% 163.24/162.97 [4889]~P93(x48893)+~P94(x48893)+E(x48891,x48892)+~E(f333(f108(x48893),x48891),f333(f108(x48893),x48892))
% 163.24/162.97 [6027]~P62(x60271)+P38(x60271,x60272,f57(x60271))+~P24(f333(x60272,x60273))+P24(f333(x60272,f742(x60272,x60271,x60273)))
% 163.24/162.97 [6037]~P24(f333(x60371,x60372))+~P24(f333(x60371,x60373))+~P24(f333(f333(f250(a880),x60373),f373(x60372,x60371)))+P24(f333(x60371,f2(a880)))
% 163.24/162.97 [6452]P147(x64522,x64521,x64523)+E(x64521,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f814(x64523,x64521,x64522)))+P24(f333(f333(f251(a1),x64521),f2(a1)))
% 163.24/162.97 [6453]P146(x64532,x64531,x64533)+E(x64531,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f821(x64533,x64531,x64532)))+P24(f333(f333(f251(a1),x64531),f2(a1)))
% 163.24/162.97 [6569]P146(x65691,x65692,x65693)+~P24(f333(x65691,x65693))+P24(f333(f333(f250(a1),f2(a1)),f821(x65693,x65692,x65691)))+P24(f333(f333(f251(a1),x65692),f2(a1)))
% 163.24/162.97 [6596]P147(x65961,x65962,x65963)+P24(f333(f333(f250(a1),f2(a1)),f814(x65963,x65962,x65961)))+~P24(f333(x65961,f2(a1)))+P24(f333(f333(f251(a1),x65962),f2(a1)))
% 163.24/162.97 [6624]P147(x66242,x66241,x66243)+E(x66241,f2(a1))+~P24(f333(x66242,f815(x66243,x66241,x66242)))+P24(f333(f333(f251(a1),x66241),f2(a1)))
% 163.24/162.97 [6625]P146(x66252,x66251,x66253)+E(x66251,f2(a1))+~P24(f333(x66252,f821(x66253,x66251,x66252)))+P24(f333(f333(f251(a1),x66251),f2(a1)))
% 163.24/162.97 [6725]~P29(x67251)+~P109(x67251)+~P24(f333(f333(f251(x67251),x67252),f41(x67251,x67253)))+P24(f333(f333(f251(x67251),x67252),f845(x67253,x67252,x67251)))
% 163.24/162.97 [6734]P146(x67341,x67342,x67343)+~P24(f333(x67341,x67343))+~P24(f333(x67341,f821(x67343,x67342,x67341)))+P24(f333(f333(f251(a1),x67342),f2(a1)))
% 163.24/162.97 [6760]P147(x67601,x67602,x67603)+~P24(f333(x67601,f815(x67603,x67602,x67601)))+~P24(f333(x67601,f2(a1)))+P24(f333(f333(f251(a1),x67602),f2(a1)))
% 163.24/162.97 [7009]P147(x70092,x70091,x70093)+E(x70091,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f814(x70093,x70091,x70092)))+P24(f333(f333(f251(a1),x70091),f813(x70093,x70091,x70092)))
% 163.24/162.97 [7010]P146(x70102,x70101,x70103)+E(x70101,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f821(x70103,x70101,x70102)))+P24(f333(f333(f251(a1),x70101),f820(x70103,x70101,x70102)))
% 163.24/162.97 [7126]P146(x71261,x71262,x71263)+~P24(f333(x71261,x71263))+P24(f333(f333(f250(a1),f2(a1)),f821(x71263,x71262,x71261)))+P24(f333(f333(f251(a1),x71262),f820(x71263,x71262,x71261)))
% 163.24/162.97 [7145]P147(x71451,x71452,x71453)+P24(f333(f333(f250(a1),f2(a1)),f814(x71453,x71452,x71451)))+P24(f333(f333(f251(a1),x71452),f813(x71453,x71452,x71451)))+~P24(f333(x71451,f2(a1)))
% 163.24/162.97 [7178]P147(x71782,x71781,x71783)+E(x71781,f2(a1))+~P24(f333(x71782,f815(x71783,x71781,x71782)))+P24(f333(f333(f251(a1),x71781),f813(x71783,x71781,x71782)))
% 163.24/162.97 [7179]P146(x71792,x71791,x71793)+E(x71791,f2(a1))+~P24(f333(x71792,f821(x71793,x71791,x71792)))+P24(f333(f333(f251(a1),x71791),f820(x71793,x71791,x71792)))
% 163.24/162.97 [7220]P147(x72202,x72201,x72203)+E(x72201,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f814(x72203,x72201,x72202)))+~P24(f333(x72202,f819(x72203,x72201,x72202)))
% 163.24/162.97 [7221]P146(x72212,x72211,x72213)+E(x72211,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f821(x72213,x72211,x72212)))+~P24(f333(x72212,f820(x72213,x72211,x72212)))
% 163.24/162.97 [7307]P146(x73071,x73072,x73073)+~P24(f333(x73071,x73073))+~P24(f333(x73071,f821(x73073,x73072,x73071)))+P24(f333(f333(f251(a1),x73072),f820(x73073,x73072,x73071)))
% 163.24/162.97 [7316]P147(x73161,x73162,x73163)+~P24(f333(x73161,f815(x73163,x73162,x73161)))+P24(f333(f333(f251(a1),x73162),f813(x73163,x73162,x73161)))+~P24(f333(x73161,f2(a1)))
% 163.24/162.97 [7320]P146(x73201,x73202,x73203)+~P24(f333(x73201,x73203))+P24(f333(f333(f250(a1),f2(a1)),f821(x73203,x73202,x73201)))+~P24(f333(x73201,f820(x73203,x73202,x73201)))
% 163.24/162.97 [7338]P147(x73381,x73382,x73383)+P24(f333(f333(f250(a1),f2(a1)),f814(x73383,x73382,x73381)))+~P24(f333(x73381,f819(x73383,x73382,x73381)))+~P24(f333(x73381,f2(a1)))
% 163.24/162.97 [7361]P147(x73612,x73611,x73613)+E(x73611,f2(a1))+~P24(f333(x73612,f815(x73613,x73611,x73612)))+~P24(f333(x73612,f819(x73613,x73611,x73612)))
% 163.24/162.97 [7362]P146(x73622,x73621,x73623)+E(x73621,f2(a1))+~P24(f333(x73622,f821(x73623,x73621,x73622)))+~P24(f333(x73622,f820(x73623,x73621,x73622)))
% 163.24/162.97 [7454]P146(x74541,x74542,x74543)+~P24(f333(x74541,x74543))+~P24(f333(x74541,f821(x74543,x74542,x74541)))+~P24(f333(x74541,f820(x74543,x74542,x74541)))
% 163.24/162.97 [7471]P147(x74711,x74712,x74713)+~P24(f333(x74711,f815(x74713,x74712,x74711)))+~P24(f333(x74711,f819(x74713,x74712,x74711)))+~P24(f333(x74711,f2(a1)))
% 163.24/162.97 [7516]P147(x75162,x75161,x75163)+E(x75161,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f814(x75163,x75161,x75162)))+P24(f333(f333(f250(a1),f813(x75163,x75161,x75162)),f2(a1)))
% 163.24/162.97 [7517]P146(x75172,x75171,x75173)+E(x75171,f2(a1))+P24(f333(f333(f250(a1),f2(a1)),f821(x75173,x75171,x75172)))+P24(f333(f333(f250(a1),f820(x75173,x75171,x75172)),f2(a1)))
% 163.24/162.97 [7518]~P140(x75181)+~P24(f333(f333(f335(x75181),x75183),f114(x75181)))+~P24(f333(f333(f335(x75181),x75182),f114(x75181)))+P24(f333(f333(f335(x75181),f333(f333(f3(x75181),x75182),x75183)),f114(x75181)))
% 163.24/162.97 [7519]~P140(x75191)+~P24(f333(f333(f335(x75191),x75193),f114(x75191)))+~P24(f333(f333(f335(x75191),x75192),f114(x75191)))+P24(f333(f333(f335(x75191),f333(f333(f81(x75191),x75192),x75193)),f114(x75191)))
% 163.24/162.97 [7520]~P143(x75201)+~P24(f333(f333(f335(x75201),x75203),f192(x75201)))+~P24(f333(f333(f335(x75201),x75202),f192(x75201)))+P24(f333(f333(f335(x75201),f333(f333(f81(x75201),x75202),x75203)),f192(x75201)))
% 163.24/162.97 [7521]~P140(x75211)+~P24(f333(f333(f335(x75211),x75213),f114(x75211)))+~P24(f333(f333(f335(x75211),x75212),f114(x75211)))+P24(f333(f333(f335(x75211),f333(f333(f82(x75211),x75212),x75213)),f114(x75211)))
% 163.24/162.97 [7522]~P143(x75221)+~P24(f333(f333(f335(x75221),x75223),f192(x75221)))+~P24(f333(f333(f335(x75221),x75222),f192(x75221)))+P24(f333(f333(f335(x75221),f333(f333(f82(x75221),x75222),x75223)),f192(x75221)))
% 163.24/162.97 [7523]~P89(x75231)+~P24(f333(f333(f251(x75231),x75233),f2(x75231)))+~P24(f333(f333(f251(x75231),x75232),f2(x75231)))+P24(f333(f333(f251(x75231),f333(f333(f81(x75231),x75232),x75233)),f2(x75231)))
% 163.24/162.97 [7524]~P89(x75241)+~P24(f333(f333(f250(x75241),x75242),f2(x75241)))+~P24(f333(f333(f251(x75241),x75243),f2(x75241)))+P24(f333(f333(f251(x75241),f333(f333(f81(x75241),x75242),x75243)),f2(x75241)))
% 163.24/162.97 [7525]~P89(x75251)+~P24(f333(f333(f250(x75251),x75253),f2(x75251)))+~P24(f333(f333(f251(x75251),x75252),f2(x75251)))+P24(f333(f333(f251(x75251),f333(f333(f81(x75251),x75252),x75253)),f2(x75251)))
% 163.24/162.97 [7526]~P89(x75261)+~P24(f333(f333(f250(x75261),x75263),f2(x75261)))+~P24(f333(f333(f250(x75261),x75262),f2(x75261)))+P24(f333(f333(f250(x75261),f333(f333(f81(x75261),x75262),x75263)),f2(x75261)))
% 163.24/162.97 [7551]P147(x75513,x75511,x75512)+E(x75511,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x75511),f815(x75512,x75511,x75513))),f814(x75512,x75511,x75513)),x75512)+P24(f333(f333(f251(a1),x75511),f2(a1)))
% 163.24/162.97 [7552]P146(x75523,x75521,x75522)+E(x75521,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x75521),f822(x75522,x75521,x75523))),f821(x75522,x75521,x75523)),x75522)+P24(f333(f333(f251(a1),x75521),f2(a1)))
% 163.24/162.97 [7632]P146(x76321,x76322,x76323)+~P24(f333(x76321,x76323))+P24(f333(f333(f250(a1),f2(a1)),f821(x76323,x76322,x76321)))+P24(f333(f333(f250(a1),f820(x76323,x76322,x76321)),f2(a1)))
% 163.24/162.97 [7661]P147(x76611,x76612,x76613)+P24(f333(f333(f250(a1),f2(a1)),f814(x76613,x76612,x76611)))+~P24(f333(x76611,f2(a1)))+P24(f333(f333(f250(a1),f813(x76613,x76612,x76611)),f2(a1)))
% 163.24/162.97 [7670]P146(x76703,x76701,x76702)+~P24(f333(x76703,x76702))+E(f333(f333(f81(a1),f333(f333(f82(a1),x76701),f822(x76702,x76701,x76703))),f821(x76702,x76701,x76703)),x76702)+P24(f333(f333(f251(a1),x76701),f2(a1)))
% 163.24/162.97 [7676]P147(x76762,x76761,x76763)+E(x76761,f2(a1))+~P24(f333(x76762,f815(x76763,x76761,x76762)))+P24(f333(f333(f250(a1),f813(x76763,x76761,x76762)),f2(a1)))
% 163.24/162.97 [7677]P146(x76772,x76771,x76773)+E(x76771,f2(a1))+~P24(f333(x76772,f821(x76773,x76771,x76772)))+P24(f333(f333(f250(a1),f820(x76773,x76771,x76772)),f2(a1)))
% 163.24/162.97 [7681]P147(x76813,x76811,x76812)+E(f333(f333(f81(a1),f333(f333(f82(a1),x76811),f815(x76812,x76811,x76813))),f814(x76812,x76811,x76813)),x76812)+~P24(f333(x76813,f2(a1)))+P24(f333(f333(f251(a1),x76811),f2(a1)))
% 163.24/162.97 [7736]P146(x77361,x77362,x77363)+~P24(f333(x77361,x77363))+~P24(f333(x77361,f821(x77363,x77362,x77361)))+P24(f333(f333(f250(a1),f820(x77363,x77362,x77361)),f2(a1)))
% 163.24/162.97 [7741]P147(x77411,x77412,x77413)+~P24(f333(x77411,f815(x77413,x77412,x77411)))+~P24(f333(x77411,f2(a1)))+P24(f333(f333(f250(a1),f813(x77413,x77412,x77411)),f2(a1)))
% 163.24/162.97 [7814]~P65(x78141)+~P24(f333(f333(f251(x78141),f333(f333(f291(x78141),x78143),x78142)),f2(x78141)))+P24(f333(f333(f251(x78141),x78142),f2(x78141)))+P24(f333(f333(f251(x78141),x78143),f2(x78141)))
% 163.24/162.97 [7815]~P124(x78151)+~P24(f333(f333(f250(x78151),f333(f333(f82(x78151),x78153),x78152)),f2(x78151)))+P24(f333(f333(f250(x78151),x78152),f2(x78151)))+P24(f333(f333(f250(x78151),x78153),f2(x78151)))
% 163.24/162.97 [7816]~P65(x78161)+~P24(f333(f333(f250(x78161),f333(f333(f291(x78161),x78163),x78162)),f2(x78161)))+P24(f333(f333(f250(x78161),x78162),f2(x78161)))+P24(f333(f333(f250(x78161),x78163),f2(x78161)))
% 163.24/162.97 [7920]P147(x79203,x79201,x79202)+E(x79201,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79201),f815(x79202,x79201,x79203))),f814(x79202,x79201,x79203)),x79202)+P24(f333(f333(f251(a1),x79201),f813(x79202,x79201,x79203)))
% 163.24/162.97 [7921]P146(x79213,x79211,x79212)+E(x79211,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79211),f822(x79212,x79211,x79213))),f821(x79212,x79211,x79213)),x79212)+P24(f333(f333(f251(a1),x79211),f820(x79212,x79211,x79213)))
% 163.24/162.97 [7934]P147(x79343,x79341,x79342)+E(x79341,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79341),f819(x79342,x79341,x79343))),f813(x79342,x79341,x79343)),x79342)+P24(f333(f333(f250(a1),f2(a1)),f814(x79342,x79341,x79343)))
% 163.24/162.97 [7935]P146(x79353,x79351,x79352)+E(x79351,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79351),f823(x79352,x79351,x79353))),f820(x79352,x79351,x79353)),x79352)+P24(f333(f333(f250(a1),f2(a1)),f821(x79352,x79351,x79353)))
% 163.24/162.97 [7977]P146(x79773,x79771,x79772)+~P24(f333(x79773,x79772))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79771),f822(x79772,x79771,x79773))),f821(x79772,x79771,x79773)),x79772)+P24(f333(f333(f251(a1),x79771),f820(x79772,x79771,x79773)))
% 163.24/162.97 [7989]P147(x79893,x79891,x79892)+E(f333(f333(f81(a1),f333(f333(f82(a1),x79891),f815(x79892,x79891,x79893))),f814(x79892,x79891,x79893)),x79892)+P24(f333(f333(f251(a1),x79891),f813(x79892,x79891,x79893)))+~P24(f333(x79893,f2(a1)))
% 163.24/162.97 [7995]P146(x79953,x79951,x79952)+~P24(f333(x79953,x79952))+E(f333(f333(f81(a1),f333(f333(f82(a1),x79951),f823(x79952,x79951,x79953))),f820(x79952,x79951,x79953)),x79952)+P24(f333(f333(f250(a1),f2(a1)),f821(x79952,x79951,x79953)))
% 163.24/162.97 [8003]P147(x80033,x80031,x80032)+E(f333(f333(f81(a1),f333(f333(f82(a1),x80031),f819(x80032,x80031,x80033))),f813(x80032,x80031,x80033)),x80032)+P24(f333(f333(f250(a1),f2(a1)),f814(x80032,x80031,x80033)))+~P24(f333(x80033,f2(a1)))
% 163.24/162.97 [8014]P147(x80143,x80141,x80142)+E(x80141,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80141),f815(x80142,x80141,x80143))),f814(x80142,x80141,x80143)),x80142)+~P24(f333(x80143,f819(x80142,x80141,x80143)))
% 163.24/162.97 [8015]P146(x80153,x80151,x80152)+E(x80151,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80151),f822(x80152,x80151,x80153))),f821(x80152,x80151,x80153)),x80152)+~P24(f333(x80153,f820(x80152,x80151,x80153)))
% 163.24/162.97 [8016]P147(x80163,x80161,x80162)+E(x80161,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80161),f819(x80162,x80161,x80163))),f813(x80162,x80161,x80163)),x80162)+~P24(f333(x80163,f815(x80162,x80161,x80163)))
% 163.24/162.97 [8017]P146(x80173,x80171,x80172)+E(x80171,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80171),f823(x80172,x80171,x80173))),f820(x80172,x80171,x80173)),x80172)+~P24(f333(x80173,f821(x80172,x80171,x80173)))
% 163.24/162.97 [8079]P146(x80793,x80791,x80792)+~P24(f333(x80793,x80792))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80791),f822(x80792,x80791,x80793))),f821(x80792,x80791,x80793)),x80792)+~P24(f333(x80793,f820(x80792,x80791,x80793)))
% 163.24/162.97 [8080]P146(x80803,x80801,x80802)+~P24(f333(x80803,x80802))+E(f333(f333(f81(a1),f333(f333(f82(a1),x80801),f823(x80802,x80801,x80803))),f820(x80802,x80801,x80803)),x80802)+~P24(f333(x80803,f821(x80802,x80801,x80803)))
% 163.24/162.97 [8091]P147(x80913,x80911,x80912)+E(f333(f333(f81(a1),f333(f333(f82(a1),x80911),f815(x80912,x80911,x80913))),f814(x80912,x80911,x80913)),x80912)+~P24(f333(x80913,f819(x80912,x80911,x80913)))+~P24(f333(x80913,f2(a1)))
% 163.24/162.97 [8092]P147(x80923,x80921,x80922)+E(f333(f333(f81(a1),f333(f333(f82(a1),x80921),f819(x80922,x80921,x80923))),f813(x80922,x80921,x80923)),x80922)+~P24(f333(x80923,f815(x80922,x80921,x80923)))+~P24(f333(x80923,f2(a1)))
% 163.24/162.97 [8199]P147(x81993,x81991,x81992)+E(x81991,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x81991),f815(x81992,x81991,x81993))),f814(x81992,x81991,x81993)),x81992)+P24(f333(f333(f250(a1),f813(x81992,x81991,x81993)),f2(a1)))
% 163.24/162.97 [8200]P146(x82003,x82001,x82002)+E(x82001,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x82001),f822(x82002,x82001,x82003))),f821(x82002,x82001,x82003)),x82002)+P24(f333(f333(f250(a1),f820(x82002,x82001,x82003)),f2(a1)))
% 163.24/162.97 [8237]P146(x82373,x82371,x82372)+~P24(f333(x82373,x82372))+E(f333(f333(f81(a1),f333(f333(f82(a1),x82371),f822(x82372,x82371,x82373))),f821(x82372,x82371,x82373)),x82372)+P24(f333(f333(f250(a1),f820(x82372,x82371,x82373)),f2(a1)))
% 163.24/162.97 [8242]P147(x82423,x82421,x82422)+E(f333(f333(f81(a1),f333(f333(f82(a1),x82421),f815(x82422,x82421,x82423))),f814(x82422,x82421,x82423)),x82422)+~P24(f333(x82423,f2(a1)))+P24(f333(f333(f250(a1),f813(x82422,x82421,x82423)),f2(a1)))
% 163.24/162.97 [8369]P147(x83693,x83691,x83692)+E(x83691,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x83691),f819(x83692,x83691,x83693))),f813(x83692,x83691,x83693)),x83692)+E(f333(f333(f81(a1),f333(f333(f82(a1),x83691),f815(x83692,x83691,x83693))),f814(x83692,x83691,x83693)),x83692)
% 163.24/162.97 [8370]P146(x83703,x83701,x83702)+E(x83701,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x83701),f823(x83702,x83701,x83703))),f820(x83702,x83701,x83703)),x83702)+E(f333(f333(f81(a1),f333(f333(f82(a1),x83701),f822(x83702,x83701,x83703))),f821(x83702,x83701,x83703)),x83702)
% 163.24/162.97 [8394]P146(x83943,x83941,x83942)+~P24(f333(x83943,x83942))+E(f333(f333(f81(a1),f333(f333(f82(a1),x83941),f823(x83942,x83941,x83943))),f820(x83942,x83941,x83943)),x83942)+E(f333(f333(f81(a1),f333(f333(f82(a1),x83941),f822(x83942,x83941,x83943))),f821(x83942,x83941,x83943)),x83942)
% 163.24/162.97 [8401]P147(x84013,x84011,x84012)+E(f333(f333(f81(a1),f333(f333(f82(a1),x84011),f819(x84012,x84011,x84013))),f813(x84012,x84011,x84013)),x84012)+E(f333(f333(f81(a1),f333(f333(f82(a1),x84011),f815(x84012,x84011,x84013))),f814(x84012,x84011,x84013)),x84012)+~P24(f333(x84013,f2(a1)))
% 163.24/162.97 [9043]~P124(x90431)+~E(x90433,f2(x90431))+~E(x90432,f2(x90431))+P24(f333(f333(f250(x90431),f333(f333(f81(x90431),f333(f333(f82(x90431),x90432),x90432)),f333(f333(f82(x90431),x90433),x90433))),f2(x90431)))
% 163.24/162.97 [10203]~P120(x102031)+~E(x102033,f2(x102031))+~E(x102032,f2(x102031))+P24(f333(f333(f250(x102031),f333(f333(f81(x102031),f333(f333(f264(x102031),x102032),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x102031),x102033),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))),f2(x102031)))
% 163.24/162.97 [4839]~E(x48393,x48391)+~P118(x48392)+E(x48391,f2(x48392))+E(f333(f333(f291(x48392),x48393),x48391),f79(x48392))
% 163.24/162.97 [4890]~P27(x48901)+~E(x48903,f194(x48901))+~E(x48902,f194(x48901))+E(f333(f333(f115(x48901),x48902),x48903),f194(x48901))
% 163.24/162.97 [4891]~P100(x48911)+~E(x48913,f258(x48911))+~E(x48912,f258(x48911))+E(f333(f333(f106(x48911),x48912),x48913),f258(x48911))
% 163.24/162.97 [4977]~P118(x49773)+E(x49771,x49772)+E(x49772,f2(x49773))+~E(f333(f333(f291(x49773),x49771),x49772),f79(x49773))
% 163.24/162.97 [4996]~P127(x49962)+E(x49961,f2(x49962))+E(x49963,f2(x49962))+~E(f333(f333(f82(x49962),x49963),x49961),f2(x49962))
% 163.24/162.97 [4997]~P141(x49972)+E(x49971,f2(x49972))+E(x49973,f2(x49972))+~E(f333(f333(f82(x49972),x49973),x49971),f2(x49972))
% 163.24/162.97 [5375]~P117(x53753)+E(x53751,x53752)+E(x53751,f333(f80(x53753),x53752))+~E(f333(f333(f82(x53753),x53751),x53751),f333(f333(f82(x53753),x53752),x53752))
% 163.24/162.97 [5415]~P79(x54151)+E(f333(f80(x54151),x54152),x54153)+~E(f333(f333(f115(x54151),x54152),x54153),f258(x54151))+~E(f333(f333(f106(x54151),x54152),x54153),f194(x54151))
% 163.24/162.97 [5494]~P120(x54943)+E(x54941,x54942)+P24(f333(f333(f251(x54943),x54942),x54941))+P24(f333(f333(f251(x54943),x54941),x54942))
% 163.24/162.97 [5495]~P109(x54953)+E(x54951,x54952)+P24(f333(f333(f251(x54953),x54952),x54951))+P24(f333(f333(f251(x54953),x54951),x54952))
% 163.24/162.97 [5496]~E(x54962,x54963)+~P109(x54961)+P24(f333(f333(f250(x54961),x54962),x54963))+P24(f333(f333(f251(x54961),x54962),x54963))
% 163.24/162.97 [5747]~P110(x57473)+E(x57471,x57472)+~P24(f333(f333(f250(x57473),x57472),x57471))+P24(f333(f333(f251(x57473),x57472),x57471))
% 163.24/162.97 [5749]~P109(x57493)+E(x57491,x57492)+~P24(f333(f333(f250(x57493),x57491),x57492))+P24(f333(f333(f251(x57493),x57491),x57492))
% 163.24/162.97 [5755]~P110(x57553)+E(x57551,x57552)+~P24(f333(f333(f250(x57553),x57551),x57552))+P24(f333(f333(f251(x57553),x57551),x57552))
% 163.24/162.97 [5857]P146(x58571,x58572,x58573)+~P24(f333(x58571,x58573))+P24(f333(f333(f251(a1),x58572),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x58572))
% 163.24/162.97 [5904]P147(x59041,x59042,x59043)+~P24(f333(x59041,f2(a1)))+P24(f333(f333(f251(a1),x59042),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x59042))
% 163.24/162.97 [5908]~P26(x59081)+E(f333(f333(f115(x59081),x59082),f13(x59081,x59083)),x59082)+~P24(f333(f63(x59081),x59083))+~P24(f333(f333(f335(x59081),x59082),x59083))
% 163.24/162.97 [5909]~P26(x59091)+E(f333(f333(f106(x59091),x59092),f12(x59091,x59093)),x59092)+~P24(f333(f63(x59091),x59093))+~P24(f333(f333(f335(x59091),x59092),x59093))
% 163.24/162.97 [5944]~P26(x59441)+E(f333(f333(f115(x59441),x59442),f12(x59441,x59443)),f12(x59441,x59443))+~P24(f333(f63(x59441),x59443))+~P24(f333(f333(f335(x59441),x59442),x59443))
% 163.24/162.97 [5945]~P26(x59451)+E(f333(f333(f106(x59451),x59452),f13(x59451,x59453)),f13(x59451,x59453))+~P24(f333(f63(x59451),x59453))+~P24(f333(f333(f335(x59451),x59452),x59453))
% 163.24/162.97 [5946]~P109(x59461)+E(f333(f333(f248(x59461),x59462),f16(x59461,x59463)),f16(x59461,x59463))+~P24(f333(f63(x59461),x59463))+~P24(f333(f333(f335(x59461),x59462),x59463))
% 163.24/162.97 [5947]~P109(x59471)+E(f333(f333(f249(x59471),x59472),f17(x59471,x59473)),f17(x59471,x59473))+~P24(f333(f63(x59471),x59473))+~P24(f333(f333(f335(x59471),x59472),x59473))
% 163.24/162.97 [5992]E(x59921,x59922)+~P110(x59923)+~P24(f333(f333(f250(x59923),x59922),x59921))+~P24(f333(f333(f250(x59923),x59921),x59922))
% 163.24/162.97 [6132]~P108(x61321)+P24(f333(f333(f250(x61321),x61323),x61322))+~P24(f333(f333(f250(x61321),x61322),x61323))+P24(f333(f333(f251(x61321),x61322),x61323))
% 163.24/162.97 [6155]~P109(x61551)+~P24(f333(f63(x61551),x61553))+P24(f333(f333(f250(x61551),x61552),f17(x61551,x61553)))+~P24(f333(f333(f335(x61551),x61552),x61553))
% 163.24/162.97 [6204]~P109(x62041)+E(f333(f333(f248(x62041),x62042),f15(x62041,f249(x62041),x62043)),x62042)+~P24(f333(f63(x62041),x62043))+~P24(f333(f333(f335(x62041),x62042),x62043))
% 163.24/162.97 [6205]~P109(x62051)+E(f333(f333(f249(x62051),x62052),f14(x62051,f248(x62051),x62053)),x62052)+~P24(f333(f63(x62051),x62053))+~P24(f333(f333(f335(x62051),x62052),x62053))
% 163.24/162.97 [6339]E(x63391,x63392)+~E(f333(f333(f3(a880),x63391),x63393),f333(f333(f3(a880),x63392),x63393))+~P24(f333(f333(f250(a880),x63393),x63391))+~P24(f333(f333(f250(a880),x63393),x63392))
% 163.24/162.97 [6368]~P109(x63681)+~P24(f333(f63(x63681),x63682))+~P24(f333(f333(f335(x63681),x63683),x63682))+P24(f333(f333(f250(x63681),f16(x63681,x63682)),x63683))
% 163.24/162.97 [6431]P147(x64312,x64311,x64313)+E(x64311,f2(a1))+P24(f333(f333(f251(a1),x64311),f813(x64313,x64311,x64312)))+P24(f333(f333(f251(a1),f2(a1)),x64311))
% 163.24/162.97 [6432]P146(x64322,x64321,x64323)+E(x64321,f2(a1))+P24(f333(f333(f251(a1),x64321),f820(x64323,x64321,x64322)))+P24(f333(f333(f251(a1),f2(a1)),x64321))
% 163.24/162.97 [6433]~P109(x64331)+E(f333(f333(f248(x64331),x64332),f14(x64331,f248(x64331),x64333)),f14(x64331,f248(x64331),x64333))+~P24(f333(f63(x64331),x64333))+~P24(f333(f333(f335(x64331),x64332),x64333))
% 163.24/162.97 [6434]~P109(x64341)+E(f333(f333(f249(x64341),x64342),f15(x64341,f249(x64341),x64343)),f15(x64341,f249(x64341),x64343))+~P24(f333(f63(x64341),x64343))+~P24(f333(f333(f335(x64341),x64342),x64343))
% 163.24/162.97 [6440]~P24(f333(x64401,x64402))+P24(f333(x64401,f452(x64402,x64401,x64403)))+P24(f333(x64401,f2(a880)))+~P24(f333(f333(f251(a880),x64402),x64403))
% 163.24/162.97 [6494]~P24(f333(x64941,x64942))+~P24(f333(f63(x64943),x64942))+P24(f333(x64941,f608(x64941,x64942,x64943)))+P24(f333(x64941,f194(f890(x64943,a874))))
% 163.24/162.97 [6507]~P120(x65071)+~P94(x65071)+P24(f333(f333(f251(x65071),f333(f108(x65071),x65072)),f333(f108(x65071),x65073)))+~P24(f333(f333(f251(a1),x65072),x65073))
% 163.24/162.97 [6508]~P120(x65081)+~P94(x65081)+P24(f333(f333(f250(x65081),f333(f108(x65081),x65082)),f333(f108(x65081),x65083)))+~P24(f333(f333(f250(a1),x65082),x65083))
% 163.24/162.97 [6511]~P24(f333(x65111,x65113))+~P24(f333(f63(x65112),x65113))+P24(f333(f63(x65112),f608(x65111,x65113,x65112)))+P24(f333(x65111,f194(f890(x65112,a874))))
% 163.24/162.97 [6541]P146(x65411,x65412,x65413)+~P24(f333(x65411,x65413))+P24(f333(f333(f251(a1),x65412),f820(x65413,x65412,x65411)))+P24(f333(f333(f251(a1),f2(a1)),x65412))
% 163.24/162.97 [6576]P147(x65761,x65762,x65763)+P24(f333(f333(f251(a1),x65762),f813(x65763,x65762,x65761)))+~P24(f333(x65761,f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x65762))
% 163.24/162.97 [6607]~P111(x66071)+~P95(x66071)+E(f333(f333(f248(x66071),f333(f108(x66071),x66072)),f333(f108(x66071),x66073)),f333(f108(x66071),x66073))+P24(f333(f333(f250(x66071),f333(f108(x66071),x66072)),f333(f108(x66071),x66073)))
% 163.24/162.97 [6608]~P111(x66081)+~P95(x66081)+E(f333(f333(f249(x66081),f333(f108(x66081),x66082)),f333(f108(x66081),x66083)),f333(f108(x66081),x66082))+P24(f333(f333(f250(x66081),f333(f108(x66081),x66082)),f333(f108(x66081),x66083)))
% 163.24/162.97 [6666]P147(x66662,x66661,x66663)+E(x66661,f2(a1))+~P24(f333(x66662,f819(x66663,x66661,x66662)))+P24(f333(f333(f251(a1),f2(a1)),x66661))
% 163.24/162.97 [6667]P146(x66672,x66671,x66673)+E(x66671,f2(a1))+~P24(f333(x66672,f820(x66673,x66671,x66672)))+P24(f333(f333(f251(a1),f2(a1)),x66671))
% 163.24/162.97 [6671]P24(f333(x66711,x66712))+~P24(f333(f63(x66713),x66712))+P24(f333(x66711,f501(x66711,x66712,x66713)))+~P24(f333(x66711,f194(f890(x66713,a874))))
% 163.24/162.97 [6690]P24(f333(x66901,x66902))+P24(f333(f63(x66903),f501(x66901,x66902,x66903)))+~P24(f333(f63(x66903),x66902))+~P24(f333(x66901,f194(f890(x66903,a874))))
% 163.24/162.97 [6755]P146(x67551,x67552,x67553)+~P24(f333(x67551,x67553))+~P24(f333(x67551,f820(x67553,x67552,x67551)))+P24(f333(f333(f251(a1),f2(a1)),x67552))
% 163.24/162.97 [6779]P147(x67791,x67792,x67793)+~P24(f333(x67791,f819(x67793,x67792,x67791)))+~P24(f333(x67791,f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x67792))
% 163.24/162.97 [6883]~P94(x68833)+~P120(x68833)+~P24(f333(f333(f251(x68833),f333(f108(x68833),x68831)),f333(f108(x68833),x68832)))+P24(f333(f333(f251(a1),x68831),x68832))
% 163.24/162.97 [6884]~P94(x68843)+~P120(x68843)+~P24(f333(f333(f250(x68843),f333(f108(x68843),x68841)),f333(f108(x68843),x68842)))+P24(f333(f333(f250(a1),x68841),x68842))
% 163.24/162.97 [6911]~P109(x69111)+~P31(x69111,x69113)+P31(x69111,f333(f333(f152(x69111),x69112),x69113))+~P24(f333(f333(f250(x69111),x69112),f649(x69113,x69112,x69111)))
% 163.24/162.97 [6912]~P109(x69121)+~P31(x69121,x69123)+P31(x69121,f333(f333(f152(x69121),x69122),x69123))+~P24(f333(f333(f250(x69121),x69122),f650(x69123,x69122,x69121)))
% 163.24/162.97 [6913]~P109(x69131)+~P31(x69131,x69133)+P31(x69131,f333(f333(f152(x69131),x69132),x69133))+~P24(f333(f333(f250(x69131),x69132),f746(x69132,x69133,x69131)))
% 163.24/162.97 [6998]P147(x69982,x69981,x69983)+E(x69981,f2(a1))+P24(f333(f333(f251(a1),x69981),f2(a1)))+P24(f333(f333(f251(a1),f814(x69983,x69981,x69982)),x69981))
% 163.24/162.97 [6999]P146(x69992,x69991,x69993)+E(x69991,f2(a1))+P24(f333(f333(f251(a1),x69991),f2(a1)))+P24(f333(f333(f251(a1),f821(x69993,x69991,x69992)),x69991))
% 163.24/162.97 [7040]P147(x70402,x70401,x70403)+E(x70401,f2(a1))+P24(f333(f333(f250(a1),f813(x70403,x70401,x70402)),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x70401))
% 163.24/162.97 [7041]P146(x70412,x70411,x70413)+E(x70411,f2(a1))+P24(f333(f333(f250(a1),f820(x70413,x70411,x70412)),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x70411))
% 163.24/162.97 [7063]~P109(x70631)+~P31(x70631,x70633)+E(f333(f333(f149(x70631,x70631,f7(x70631)),x70632),f171(x70631,x70632,x70633)),x70633)+~P24(f333(f333(f335(x70631),x70632),f333(f173(x70631),x70633)))
% 163.24/162.97 [7109]P146(x71091,x71092,x71093)+~P24(f333(x71091,x71093))+P24(f333(f333(f251(a1),x71092),f2(a1)))+P24(f333(f333(f251(a1),f821(x71093,x71092,x71091)),x71092))
% 163.24/162.97 [7115]~P111(x71151)+~P95(x71151)+E(f333(f333(f248(x71151),f333(f108(x71151),x71152)),f333(f108(x71151),x71153)),f333(f108(x71151),x71152))+~P24(f333(f333(f250(x71151),f333(f108(x71151),x71152)),f333(f108(x71151),x71153)))
% 163.24/162.97 [7116]~P111(x71161)+~P95(x71161)+E(f333(f333(f249(x71161),f333(f108(x71161),x71162)),f333(f108(x71161),x71163)),f333(f108(x71161),x71163))+~P24(f333(f333(f250(x71161),f333(f108(x71161),x71162)),f333(f108(x71161),x71163)))
% 163.24/162.97 [7130]P147(x71301,x71302,x71303)+~P24(f333(x71301,f2(a1)))+P24(f333(f333(f251(a1),x71302),f2(a1)))+P24(f333(f333(f251(a1),f814(x71303,x71302,x71301)),x71302))
% 163.24/162.97 [7138]P146(x71381,x71382,x71383)+~P24(f333(x71381,x71383))+P24(f333(f333(f250(a1),f820(x71383,x71382,x71381)),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x71382))
% 163.24/162.97 [7162]P147(x71621,x71622,x71623)+~P24(f333(x71621,f2(a1)))+P24(f333(f333(f250(a1),f813(x71623,x71622,x71621)),f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x71622))
% 163.24/162.97 [7190]~P24(f333(x71901,x71902))+P24(f333(x71901,f2(a880)))+~P24(f333(f333(f251(a880),x71902),x71903))+P24(f333(f333(f251(a880),f452(x71902,x71901,x71903)),x71903))
% 163.24/162.97 [7207]~P109(x72071)+~P31(x72071,x72073)+P31(x72071,f333(f333(f152(x72071),x72072),x72073))+P24(f333(f333(f335(x72071),f649(x72073,x72072,x72071)),f333(f173(x72071),x72073)))
% 163.24/162.97 [7208]~P109(x72081)+~P31(x72081,x72083)+P31(x72081,f333(f333(f152(x72081),x72082),x72083))+P24(f333(f333(f335(x72081),f650(x72083,x72082,x72081)),f333(f173(x72081),x72083)))
% 163.24/162.97 [7209]~P109(x72091)+~P31(x72091,x72093)+P31(x72091,f333(f333(f152(x72091),x72092),x72093))+P24(f333(f333(f335(x72091),f746(x72092,x72093,x72091)),f333(f173(x72091),x72093)))
% 163.24/162.97 [7311]~P29(x73111)+~P109(x73111)+~P24(f333(f333(f251(x73111),x73113),f41(x73111,x73112)))+P24(f333(f333(f335(x73111),f845(x73112,x73113,x73111)),x73112))
% 163.24/162.97 [7469]~P29(x74691)+~P109(x74691)+~P24(f333(f333(f251(x74691),f42(x74691,x74693)),x74692))+P24(f333(f333(f335(x74691),f846(x74692,x74693,x74691)),x74693))
% 163.24/162.97 [7470]~P29(x74701)+~P109(x74701)+~P24(f333(f333(f251(x74701),f42(x74701,x74703)),x74702))+P24(f333(f333(f251(x74701),f846(x74702,x74703,x74701)),x74702))
% 163.24/162.97 [7482]P147(x74822,x74821,x74823)+E(x74821,f2(a1))+P24(f333(f333(f251(a1),x74821),f813(x74823,x74821,x74822)))+P24(f333(f333(f251(a1),f814(x74823,x74821,x74822)),x74821))
% 163.24/162.97 [7483]P146(x74832,x74831,x74833)+E(x74831,f2(a1))+P24(f333(f333(f251(a1),x74831),f820(x74833,x74831,x74832)))+P24(f333(f333(f251(a1),f821(x74833,x74831,x74832)),x74831))
% 163.24/162.97 [7570]P147(x75703,x75701,x75702)+E(x75701,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x75701),f819(x75702,x75701,x75703))),f813(x75702,x75701,x75703)),x75702)+P24(f333(f333(f251(a1),f2(a1)),x75701))
% 163.24/162.97 [7571]P146(x75713,x75711,x75712)+E(x75711,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x75711),f823(x75712,x75711,x75713))),f820(x75712,x75711,x75713)),x75712)+P24(f333(f333(f251(a1),f2(a1)),x75711))
% 163.24/162.97 [7573]~P129(x75731)+~P24(f333(f333(f251(x75731),x75733),f2(x75731)))+P24(f333(f333(f251(x75731),f333(f333(f82(x75731),x75732),x75733)),f2(x75731)))+~P24(f333(f333(f251(x75731),f2(x75731)),x75732))
% 163.24/162.97 [7574]~P129(x75741)+~P24(f333(f333(f251(x75741),x75742),f2(x75741)))+P24(f333(f333(f251(x75741),f333(f333(f82(x75741),x75742),x75743)),f2(x75741)))+~P24(f333(f333(f251(x75741),f2(x75741)),x75743))
% 163.24/162.97 [7575]~P66(x75751)+~P24(f333(f333(f251(x75751),x75753),f2(x75751)))+P24(f333(f333(f251(x75751),f333(f333(f291(x75751),x75752),x75753)),f2(x75751)))+~P24(f333(f333(f251(x75751),f2(x75751)),x75752))
% 163.24/162.97 [7576]~P66(x75761)+~P24(f333(f333(f251(x75761),x75762),f2(x75761)))+P24(f333(f333(f251(x75761),f333(f333(f291(x75761),x75762),x75763)),f2(x75761)))+~P24(f333(f333(f251(x75761),f2(x75761)),x75763))
% 163.24/162.97 [7577]~P65(x75771)+~P24(f333(f333(f251(x75771),x75773),f2(x75771)))+P24(f333(f333(f251(x75771),f333(f333(f291(x75771),x75772),x75773)),f2(x75771)))+~P24(f333(f333(f251(x75771),f2(x75771)),x75772))
% 163.24/162.97 [7578]~P65(x75781)+~P24(f333(f333(f251(x75781),x75782),f2(x75781)))+P24(f333(f333(f251(x75781),f333(f333(f291(x75781),x75782),x75783)),f2(x75781)))+~P24(f333(f333(f251(x75781),f2(x75781)),x75783))
% 163.24/162.97 [7580]~P124(x75801)+~P24(f333(f333(f250(x75801),x75803),f2(x75801)))+P24(f333(f333(f250(x75801),f333(f333(f82(x75801),x75802),x75803)),f2(x75801)))+~P24(f333(f333(f250(x75801),f2(x75801)),x75802))
% 163.24/162.97 [7581]~P124(x75811)+~P24(f333(f333(f250(x75811),x75812),f2(x75811)))+P24(f333(f333(f250(x75811),f333(f333(f82(x75811),x75812),x75813)),f2(x75811)))+~P24(f333(f333(f250(x75811),f2(x75811)),x75813))
% 163.24/162.97 [7583]~P133(x75831)+~P24(f333(f333(f250(x75831),x75833),f2(x75831)))+P24(f333(f333(f250(x75831),f333(f333(f82(x75831),x75832),x75833)),f2(x75831)))+~P24(f333(f333(f250(x75831),f2(x75831)),x75832))
% 163.24/162.97 [7585]~P133(x75851)+~P24(f333(f333(f250(x75851),x75852),f2(x75851)))+P24(f333(f333(f250(x75851),f333(f333(f82(x75851),x75852),x75853)),f2(x75851)))+~P24(f333(f333(f250(x75851),f2(x75851)),x75853))
% 163.24/162.97 [7586]~P66(x75861)+~P24(f333(f333(f251(x75861),x75863),f2(x75861)))+P24(f333(f333(f250(x75861),f333(f333(f291(x75861),x75862),x75863)),f2(x75861)))+~P24(f333(f333(f250(x75861),f2(x75861)),x75862))
% 163.24/162.97 [7587]~P66(x75871)+~P24(f333(f333(f250(x75871),x75872),f2(x75871)))+P24(f333(f333(f250(x75871),f333(f333(f291(x75871),x75872),x75873)),f2(x75871)))+~P24(f333(f333(f251(x75871),f2(x75871)),x75873))
% 163.24/162.97 [7588]~P65(x75881)+~P24(f333(f333(f250(x75881),x75883),f2(x75881)))+P24(f333(f333(f250(x75881),f333(f333(f291(x75881),x75882),x75883)),f2(x75881)))+~P24(f333(f333(f250(x75881),f2(x75881)),x75882))
% 163.24/162.97 [7589]~P65(x75891)+~P24(f333(f333(f250(x75891),x75892),f2(x75891)))+P24(f333(f333(f250(x75891),f333(f333(f291(x75891),x75892),x75893)),f2(x75891)))+~P24(f333(f333(f250(x75891),f2(x75891)),x75893))
% 163.24/162.97 [7604]P146(x76041,x76042,x76043)+~P24(f333(x76041,x76043))+P24(f333(f333(f251(a1),x76042),f820(x76043,x76042,x76041)))+P24(f333(f333(f251(a1),f821(x76043,x76042,x76041)),x76042))
% 163.24/162.97 [7617]P147(x76171,x76172,x76173)+P24(f333(f333(f251(a1),x76172),f813(x76173,x76172,x76171)))+~P24(f333(x76171,f2(a1)))+P24(f333(f333(f251(a1),f814(x76173,x76172,x76171)),x76172))
% 163.24/162.97 [7667]P147(x76672,x76671,x76673)+E(x76671,f2(a1))+~P24(f333(x76672,f819(x76673,x76671,x76672)))+P24(f333(f333(f251(a1),f814(x76673,x76671,x76672)),x76671))
% 163.24/162.97 [7668]P146(x76682,x76681,x76683)+E(x76681,f2(a1))+~P24(f333(x76682,f820(x76683,x76681,x76682)))+P24(f333(f333(f251(a1),f821(x76683,x76681,x76682)),x76681))
% 163.24/162.97 [7678]P146(x76783,x76781,x76782)+~P24(f333(x76783,x76782))+E(f333(f333(f81(a1),f333(f333(f82(a1),x76781),f823(x76782,x76781,x76783))),f820(x76782,x76781,x76783)),x76782)+P24(f333(f333(f251(a1),f2(a1)),x76781))
% 163.24/162.97 [7696]P147(x76963,x76961,x76962)+E(f333(f333(f81(a1),f333(f333(f82(a1),x76961),f819(x76962,x76961,x76963))),f813(x76962,x76961,x76963)),x76962)+~P24(f333(x76963,f2(a1)))+P24(f333(f333(f251(a1),f2(a1)),x76961))
% 163.24/162.97 [7721]~P24(f333(x77211,x77213))+~P24(f333(f63(x77212),x77213))+P24(f333(f333(f335(x77212),f605(x77211,x77213,x77212)),f608(x77211,x77213,x77212)))+P24(f333(x77211,f194(f890(x77212,a874))))
% 163.24/162.97 [7732]P146(x77321,x77322,x77323)+~P24(f333(x77321,x77323))+~P24(f333(x77321,f820(x77323,x77322,x77321)))+P24(f333(f333(f251(a1),f821(x77323,x77322,x77321)),x77322))
% 163.24/162.97 [7737]P147(x77371,x77372,x77373)+~P24(f333(x77371,f819(x77373,x77372,x77371)))+~P24(f333(x77371,f2(a1)))+P24(f333(f333(f251(a1),f814(x77373,x77372,x77371)),x77372))
% 163.24/162.97 [7845]~P65(x78451)+~P24(f333(f333(f251(x78451),f333(f333(f291(x78451),x78453),x78452)),f2(x78451)))+P24(f333(f333(f251(x78451),x78452),f2(x78451)))+P24(f333(f333(f251(x78451),f2(x78451)),x78452))
% 163.24/162.97 [7846]~P65(x78461)+~P24(f333(f333(f251(x78461),f333(f333(f291(x78461),x78462),x78463)),f2(x78461)))+P24(f333(f333(f251(x78461),x78462),f2(x78461)))+P24(f333(f333(f251(x78461),f2(x78461)),x78462))
% 163.24/162.97 [7847]~P124(x78471)+~P24(f333(f333(f250(x78471),f333(f333(f82(x78471),x78473),x78472)),f2(x78471)))+P24(f333(f333(f250(x78471),x78472),f2(x78471)))+P24(f333(f333(f250(x78471),f2(x78471)),x78472))
% 163.24/162.97 [7848]~P124(x78481)+~P24(f333(f333(f250(x78481),f333(f333(f82(x78481),x78482),x78483)),f2(x78481)))+P24(f333(f333(f250(x78481),x78482),f2(x78481)))+P24(f333(f333(f250(x78481),f2(x78481)),x78482))
% 163.24/162.98 [7849]~P65(x78491)+~P24(f333(f333(f250(x78491),f333(f333(f291(x78491),x78493),x78492)),f2(x78491)))+P24(f333(f333(f250(x78491),x78492),f2(x78491)))+P24(f333(f333(f250(x78491),f2(x78491)),x78492))
% 163.24/162.98 [7850]~P65(x78501)+~P24(f333(f333(f250(x78501),f333(f333(f291(x78501),x78502),x78503)),f2(x78501)))+P24(f333(f333(f250(x78501),x78502),f2(x78501)))+P24(f333(f333(f250(x78501),f2(x78501)),x78502))
% 163.24/162.98 [7869]~P65(x78691)+~P24(f333(f333(f251(x78691),f333(f333(f291(x78691),x78692),x78693)),f2(x78691)))+P24(f333(f333(f251(x78691),f2(x78691)),x78692))+P24(f333(f333(f251(x78691),f2(x78691)),x78693))
% 163.24/162.98 [7870]~P124(x78701)+~P24(f333(f333(f250(x78701),f333(f333(f82(x78701),x78702),x78703)),f2(x78701)))+P24(f333(f333(f250(x78701),f2(x78701)),x78702))+P24(f333(f333(f250(x78701),f2(x78701)),x78703))
% 163.24/162.98 [7871]~P65(x78711)+~P24(f333(f333(f250(x78711),f333(f333(f291(x78711),x78712),x78713)),f2(x78711)))+P24(f333(f333(f250(x78711),f2(x78711)),x78712))+P24(f333(f333(f250(x78711),f2(x78711)),x78713))
% 163.24/162.98 [7892]P147(x78922,x78921,x78923)+E(x78921,f2(a1))+P24(f333(f333(f250(a1),f813(x78923,x78921,x78922)),f2(a1)))+P24(f333(f333(f251(a1),f814(x78923,x78921,x78922)),x78921))
% 163.24/162.98 [7893]P146(x78932,x78931,x78933)+E(x78931,f2(a1))+P24(f333(f333(f250(a1),f820(x78933,x78931,x78932)),f2(a1)))+P24(f333(f333(f251(a1),f821(x78933,x78931,x78932)),x78931))
% 163.24/162.98 [7900]~P123(x79001)+~P24(f333(f333(f251(x79001),x79002),f79(x79001)))+P24(f333(f333(f251(x79001),f333(f333(f264(x79001),x79002),f333(a117,x79003))),f79(x79001)))+~P24(f333(f333(f251(x79001),f2(x79001)),x79002))
% 163.24/162.98 [7950]~P109(x79501)+~E(x79503,f118(x79501))+~P31(x79501,f333(f170(x79501),x79503))+E(f333(f143(x79501,x79501,f333(f9(x79501,x79501,x79501),f249(x79501)),x79502),f333(f170(x79501),x79503)),x79502)
% 163.24/162.98 [7952]P146(x79521,x79522,x79523)+~P24(f333(x79521,x79523))+P24(f333(f333(f250(a1),f820(x79523,x79522,x79521)),f2(a1)))+P24(f333(f333(f251(a1),f821(x79523,x79522,x79521)),x79522))
% 163.24/162.98 [7961]P147(x79611,x79612,x79613)+~P24(f333(x79611,f2(a1)))+P24(f333(f333(f250(a1),f813(x79613,x79612,x79611)),f2(a1)))+P24(f333(f333(f251(a1),f814(x79613,x79612,x79611)),x79612))
% 163.24/162.98 [8194]P147(x81943,x81941,x81942)+E(x81941,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x81941),f819(x81942,x81941,x81943))),f813(x81942,x81941,x81943)),x81942)+P24(f333(f333(f251(a1),f814(x81942,x81941,x81943)),x81941))
% 163.24/162.98 [8195]P146(x81953,x81951,x81952)+E(x81951,f2(a1))+E(f333(f333(f81(a1),f333(f333(f82(a1),x81951),f823(x81952,x81951,x81953))),f820(x81952,x81951,x81953)),x81952)+P24(f333(f333(f251(a1),f821(x81952,x81951,x81953)),x81951))
% 163.24/162.98 [8228]P146(x82283,x82281,x82282)+~P24(f333(x82283,x82282))+E(f333(f333(f81(a1),f333(f333(f82(a1),x82281),f823(x82282,x82281,x82283))),f820(x82282,x82281,x82283)),x82282)+P24(f333(f333(f251(a1),f821(x82282,x82281,x82283)),x82281))
% 163.24/162.98 [8229]~P69(x82291)+~P76(x82291)+~P42(x82293)+E(f333(f333(f8(a880,x82291),f333(f333(f10(a1,x82291,a880),x82292),f105(a1))),f333(f312(a1,a880,a109),x82293)),f333(f333(f8(a1,x82291),x82292),x82293))
% 163.24/162.98 [8230]~P69(x82301)+~P76(x82301)+~P42(x82303)+E(f333(f333(f11(a880,x82301),f333(f333(f10(a1,x82301,a880),x82302),f105(a1))),f333(f312(a1,a880,a109),x82303)),f333(f333(f11(a1,x82301),x82302),x82303))
% 163.24/162.98 [8239]P147(x82393,x82391,x82392)+E(f333(f333(f81(a1),f333(f333(f82(a1),x82391),f819(x82392,x82391,x82393))),f813(x82392,x82391,x82393)),x82392)+~P24(f333(x82393,f2(a1)))+P24(f333(f333(f251(a1),f814(x82392,x82391,x82393)),x82391))
% 163.24/162.98 [8258]~E(x82582,f2(a880))+~E(f333(f262(a880,a880),x82583),f2(a880))+~E(x82581,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x82583)),x82582)),f333(f271(a880,a880),x82583)))+P24(f333(f49(x82581,x82582),x82583))
% 163.24/162.98 [8312]P24(f333(x83121,x83122))+~P24(f333(f333(f335(x83123),f504(x83121,x83122,x83123)),f501(x83121,x83122,x83123)))+~P24(f333(f63(x83123),x83122))+~P24(f333(x83121,f194(f890(x83123,a874))))
% 163.24/162.98 [8922]P24(f333(x89221,x89222))+~P24(f333(f63(x89223),x89222))+~P24(f333(x89221,f333(f333(f311(x89223),f504(x89221,x89222,x89223)),f501(x89221,x89222,x89223))))+~P24(f333(x89221,f194(f890(x89223,a874))))
% 163.24/162.98 [9151]P24(f333(f333(f250(a1),x91511),f2(a1)))+~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f82(a1),x91512),x91511)),x91513)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x91512))+~P24(f333(f333(f250(a1),f2(a1)),x91513))
% 163.24/162.98 [5818]~P26(x58182)+E(x58181,f194(f890(x58182,a874)))+~P24(f333(f63(x58182),x58181))+E(f12(x58182,f333(f333(f311(x58182),x58183),x58181)),f333(f333(f115(x58182),x58183),f12(x58182,x58181)))
% 163.24/162.98 [5819]~P26(x58192)+E(x58191,f194(f890(x58192,a874)))+~P24(f333(f63(x58192),x58191))+E(f13(x58192,f333(f333(f311(x58192),x58193),x58191)),f333(f333(f106(x58192),x58193),f13(x58192,x58191)))
% 163.24/162.98 [5820]~P109(x58202)+E(x58201,f194(f890(x58202,a874)))+~P24(f333(f63(x58202),x58201))+E(f16(x58202,f333(f333(f311(x58202),x58203),x58201)),f333(f333(f248(x58202),x58203),f16(x58202,x58201)))
% 163.24/162.98 [5821]~P109(x58212)+E(x58211,f194(f890(x58212,a874)))+~P24(f333(f63(x58212),x58211))+E(f17(x58212,f333(f333(f311(x58212),x58213),x58211)),f333(f333(f249(x58212),x58213),f17(x58212,x58211)))
% 163.24/162.98 [6129]~P124(x61291)+~E(x61293,f2(x61291))+~E(x61292,f2(x61291))+E(f333(f333(f81(x61291),f333(f333(f82(x61291),x61292),x61292)),f333(f333(f82(x61291),x61293),x61293)),f2(x61291))
% 163.24/162.98 [6197]~P97(x61972)+E(x61971,f194(f890(x61972,a874)))+~P24(f333(f63(x61972),x61971))+E(f333(f65(x61972,f82(x61972)),f333(f333(f311(x61972),x61973),x61971)),f333(f333(f82(x61972),x61973),f333(f65(x61972,f82(x61972)),x61971)))
% 163.24/162.98 [6320]~P109(x63202)+E(x63201,f194(f890(x63202,a874)))+~P24(f333(f63(x63202),x63201))+E(f14(x63202,f248(x63202),f333(f333(f311(x63202),x63203),x63201)),f333(f333(f248(x63202),x63203),f14(x63202,f248(x63202),x63201)))
% 163.24/162.98 [6321]~P109(x63212)+E(x63211,f194(f890(x63212,a874)))+~P24(f333(f63(x63212),x63211))+E(f15(x63212,f249(x63212),f333(f333(f311(x63212),x63213),x63211)),f333(f333(f249(x63212),x63213),f15(x63212,f249(x63212),x63211)))
% 163.24/162.98 [6812]~P73(x68121)+~P24(f333(f63(x68121),x68123))+E(f333(f65(x68121,f82(x68121)),f333(f333(f311(x68121),x68122),x68123)),f333(f333(f66(x68121,x68121,f82(x68121)),x68122),x68123))+P24(f333(f333(f335(x68121),x68122),x68123))
% 163.24/162.98 [6888]~E(f333(f333(f81(a1),x68882),f333(f333(f82(a1),x68883),x68881)),x68883)+~P24(f333(f333(f251(a1),f2(a1)),x68883))+P24(f333(f333(f250(a1),f79(a1)),x68881))+~P24(f333(f333(f251(a1),x68882),x68883))
% 163.24/162.98 [6918]~E(f333(f333(f81(a1),x69182),f333(f333(f82(a1),x69183),x69181)),x69183)+P24(f333(f333(f250(a1),x69181),f79(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x69183))+~P24(f333(f333(f250(a1),f2(a1)),x69182))
% 163.24/162.98 [6934]E(x69341,f2(a880))+~P24(f333(f49(x69343,x69341),x69342))+~P24(f333(f333(f251(a880),f2(a880)),x69341))+P24(f333(f333(f251(a880),f333(f271(a880,a880),x69342)),x69341))
% 163.24/162.98 [6965]~P136(x69651)+~P24(f333(f333(f250(x69651),x69652),f2(x69651)))+~P24(f333(f333(f250(x69651),x69653),f2(x69651)))+E(f333(f333(f82(x69651),f333(f76(x69651),x69652)),f333(f76(x69651),x69653)),f333(f76(x69651),f333(f333(f82(x69651),x69652),x69653)))
% 163.24/162.98 [7017]~P136(x70171)+~P24(f333(f333(f250(x70171),x70172),f2(x70171)))+E(f333(f333(f82(x70171),f333(f76(x70171),x70172)),f333(f76(x70171),x70173)),f333(f76(x70171),f333(f333(f82(x70171),x70172),x70173)))+~P24(f333(f333(f250(x70171),f2(x70171)),x70173))
% 163.24/162.98 [7018]~P136(x70181)+~P24(f333(f333(f250(x70181),x70183),f2(x70181)))+E(f333(f333(f82(x70181),f333(f76(x70181),x70182)),f333(f76(x70181),x70183)),f333(f76(x70181),f333(f333(f82(x70181),x70182),x70183)))+~P24(f333(f333(f250(x70181),f2(x70181)),x70182))
% 163.24/162.98 [7071]~P136(x70711)+E(f333(f333(f82(x70711),f333(f76(x70711),x70712)),f333(f76(x70711),x70713)),f333(f76(x70711),f333(f333(f82(x70711),x70712),x70713)))+~P24(f333(f333(f250(x70711),f2(x70711)),x70712))+~P24(f333(f333(f250(x70711),f2(x70711)),x70713))
% 163.24/162.98 [7087]~P124(x70871)+~P24(f333(f333(f251(x70871),x70873),f2(x70871)))+~P24(f333(f333(f251(x70871),x70872),f2(x70871)))+P24(f333(f333(f251(x70871),f2(x70871)),f333(f333(f82(x70871),x70872),x70873)))
% 163.24/162.98 [7088]~P66(x70881)+~P24(f333(f333(f251(x70881),x70883),f2(x70881)))+~P24(f333(f333(f251(x70881),x70882),f2(x70881)))+P24(f333(f333(f251(x70881),f2(x70881)),f333(f333(f291(x70881),x70882),x70883)))
% 163.24/162.98 [7089]~P65(x70891)+~P24(f333(f333(f251(x70891),x70893),f2(x70891)))+~P24(f333(f333(f251(x70891),x70892),f2(x70891)))+P24(f333(f333(f251(x70891),f2(x70891)),f333(f333(f291(x70891),x70892),x70893)))
% 163.24/162.98 [7091]~P126(x70911)+~P24(f333(f333(f250(x70911),x70913),f2(x70911)))+~P24(f333(f333(f250(x70911),x70912),f2(x70911)))+P24(f333(f333(f250(x70911),f2(x70911)),f333(f333(f82(x70911),x70912),x70913)))
% 163.24/162.98 [7092]~P124(x70921)+~P24(f333(f333(f250(x70921),x70923),f2(x70921)))+~P24(f333(f333(f250(x70921),x70922),f2(x70921)))+P24(f333(f333(f250(x70921),f2(x70921)),f333(f333(f82(x70921),x70922),x70923)))
% 163.24/162.98 [7093]~P66(x70931)+~P24(f333(f333(f251(x70931),x70933),f2(x70931)))+~P24(f333(f333(f250(x70931),x70932),f2(x70931)))+P24(f333(f333(f250(x70931),f2(x70931)),f333(f333(f291(x70931),x70932),x70933)))
% 163.24/162.98 [7094]~P65(x70941)+~P24(f333(f333(f250(x70941),x70943),f2(x70941)))+~P24(f333(f333(f250(x70941),x70942),f2(x70941)))+P24(f333(f333(f250(x70941),f2(x70941)),f333(f333(f291(x70941),x70942),x70943)))
% 163.24/162.98 [7095]~P123(x70951)+~P24(f333(f333(f251(a880),f2(a880)),x70953))+~P24(f333(f333(f251(x70951),f79(x70951)),x70952))+P24(f333(f333(f251(x70951),f79(x70951)),f333(f333(f264(x70951),x70952),x70953)))
% 163.24/162.98 [7191]~P123(x71911)+~P24(f333(f333(f251(x71911),f79(x71911)),x71913))+~P24(f333(f333(f251(x71911),f79(x71911)),x71912))+P24(f333(f333(f251(x71911),f79(x71911)),f333(f333(f82(x71911),x71912),x71913)))
% 163.24/162.98 [7192]~P89(x71921)+~P24(f333(f333(f251(x71921),f2(x71921)),x71923))+~P24(f333(f333(f251(x71921),f2(x71921)),x71922))+P24(f333(f333(f251(x71921),f2(x71921)),f333(f333(f81(x71921),x71922),x71923)))
% 163.24/162.98 [7195]~P129(x71951)+~P24(f333(f333(f251(x71951),f2(x71951)),x71953))+~P24(f333(f333(f251(x71951),f2(x71951)),x71952))+P24(f333(f333(f251(x71951),f2(x71951)),f333(f333(f82(x71951),x71952),x71953)))
% 163.24/162.98 [7196]~P66(x71961)+~P24(f333(f333(f251(x71961),f2(x71961)),x71963))+~P24(f333(f333(f251(x71961),f2(x71961)),x71962))+P24(f333(f333(f251(x71961),f2(x71961)),f333(f333(f291(x71961),x71962),x71963)))
% 163.24/162.98 [7197]~P65(x71971)+~P24(f333(f333(f251(x71971),f2(x71971)),x71973))+~P24(f333(f333(f251(x71971),f2(x71971)),x71972))+P24(f333(f333(f251(x71971),f2(x71971)),f333(f333(f291(x71971),x71972),x71973)))
% 163.24/162.98 [7199]~P126(x71991)+~P24(f333(f333(f250(x71991),f2(x71991)),x71993))+~P24(f333(f333(f250(x71991),f2(x71991)),x71992))+P24(f333(f333(f250(x71991),f2(x71991)),f333(f333(f82(x71991),x71992),x71993)))
% 163.24/162.98 [7200]~P124(x72001)+~P24(f333(f333(f250(x72001),f2(x72001)),x72003))+~P24(f333(f333(f250(x72001),f2(x72001)),x72002))+P24(f333(f333(f250(x72001),f2(x72001)),f333(f333(f82(x72001),x72002),x72003)))
% 163.24/162.98 [7201]~P133(x72011)+~P24(f333(f333(f250(x72011),f2(x72011)),x72013))+~P24(f333(f333(f250(x72011),f2(x72011)),x72012))+P24(f333(f333(f250(x72011),f2(x72011)),f333(f333(f82(x72011),x72012),x72013)))
% 163.24/162.98 [7202]~P66(x72021)+~P24(f333(f333(f251(x72021),f2(x72021)),x72023))+~P24(f333(f333(f250(x72021),f2(x72021)),x72022))+P24(f333(f333(f250(x72021),f2(x72021)),f333(f333(f291(x72021),x72022),x72023)))
% 163.24/162.98 [7203]~P65(x72031)+~P24(f333(f333(f250(x72031),f2(x72031)),x72033))+~P24(f333(f333(f250(x72031),f2(x72031)),x72032))+P24(f333(f333(f250(x72031),f2(x72031)),f333(f333(f291(x72031),x72032),x72033)))
% 163.24/162.98 [7271]~P26(x72711)+~P24(f333(f63(x72711),x72713))+E(f12(x72711,f333(f333(f311(x72711),x72712),x72713)),x72712)+~E(f333(f333(f3(f890(x72711,a874)),x72713),f333(f333(f311(x72711),x72712),f194(f890(x72711,a874)))),f194(f890(x72711,a874)))
% 163.24/162.98 [7272]~P26(x72721)+~P24(f333(f63(x72721),x72723))+E(f13(x72721,f333(f333(f311(x72721),x72722),x72723)),x72722)+~E(f333(f333(f3(f890(x72721,a874)),x72723),f333(f333(f311(x72721),x72722),f194(f890(x72721,a874)))),f194(f890(x72721,a874)))
% 163.24/162.98 [7273]~P109(x72731)+~P24(f333(f63(x72731),x72733))+E(f16(x72731,f333(f333(f311(x72731),x72732),x72733)),x72732)+~E(f333(f333(f3(f890(x72731,a874)),x72733),f333(f333(f311(x72731),x72732),f194(f890(x72731,a874)))),f194(f890(x72731,a874)))
% 163.24/162.98 [7274]~P109(x72741)+~P24(f333(f63(x72741),x72743))+E(f17(x72741,f333(f333(f311(x72741),x72742),x72743)),x72742)+~E(f333(f333(f3(f890(x72741,a874)),x72743),f333(f333(f311(x72741),x72742),f194(f890(x72741,a874)))),f194(f890(x72741,a874)))
% 163.24/162.98 [7275]~P65(x72751)+P24(f333(f333(f251(x72751),x72752),f2(x72751)))+P24(f333(f333(f251(x72751),f2(x72751)),x72753))+~P24(f333(f333(f251(x72751),f2(x72751)),f333(f333(f291(x72751),x72753),x72752)))
% 163.24/162.98 [7276]~P65(x72761)+P24(f333(f333(f251(x72761),x72762),f2(x72761)))+P24(f333(f333(f251(x72761),f2(x72761)),x72763))+~P24(f333(f333(f251(x72761),f2(x72761)),f333(f333(f291(x72761),x72762),x72763)))
% 163.24/162.98 [7277]~P65(x72771)+P24(f333(f333(f251(x72771),x72772),f2(x72771)))+P24(f333(f333(f251(x72771),f2(x72771)),x72772))+~P24(f333(f333(f251(x72771),f2(x72771)),f333(f333(f291(x72771),x72773),x72772)))
% 163.24/162.98 [7278]~P65(x72781)+P24(f333(f333(f251(x72781),x72782),f2(x72781)))+P24(f333(f333(f251(x72781),f2(x72781)),x72782))+~P24(f333(f333(f251(x72781),f2(x72781)),f333(f333(f291(x72781),x72782),x72783)))
% 163.24/162.98 [7279]~P124(x72791)+P24(f333(f333(f250(x72791),x72792),f2(x72791)))+P24(f333(f333(f250(x72791),f2(x72791)),x72793))+~P24(f333(f333(f250(x72791),f2(x72791)),f333(f333(f82(x72791),x72793),x72792)))
% 163.24/162.98 [7280]~P124(x72801)+P24(f333(f333(f250(x72801),x72802),f2(x72801)))+P24(f333(f333(f250(x72801),f2(x72801)),x72803))+~P24(f333(f333(f250(x72801),f2(x72801)),f333(f333(f82(x72801),x72802),x72803)))
% 163.24/162.98 [7281]~P65(x72811)+P24(f333(f333(f250(x72811),x72812),f2(x72811)))+P24(f333(f333(f250(x72811),f2(x72811)),x72813))+~P24(f333(f333(f250(x72811),f2(x72811)),f333(f333(f291(x72811),x72813),x72812)))
% 163.24/162.98 [7282]~P65(x72821)+P24(f333(f333(f250(x72821),x72822),f2(x72821)))+P24(f333(f333(f250(x72821),f2(x72821)),x72823))+~P24(f333(f333(f250(x72821),f2(x72821)),f333(f333(f291(x72821),x72822),x72823)))
% 163.24/162.98 [7283]~P124(x72831)+P24(f333(f333(f250(x72831),x72832),f2(x72831)))+P24(f333(f333(f250(x72831),f2(x72831)),x72832))+~P24(f333(f333(f250(x72831),f2(x72831)),f333(f333(f82(x72831),x72833),x72832)))
% 163.24/162.98 [7284]~P124(x72841)+P24(f333(f333(f250(x72841),x72842),f2(x72841)))+P24(f333(f333(f250(x72841),f2(x72841)),x72842))+~P24(f333(f333(f250(x72841),f2(x72841)),f333(f333(f82(x72841),x72842),x72843)))
% 163.24/162.98 [7285]~P65(x72851)+P24(f333(f333(f250(x72851),x72852),f2(x72851)))+P24(f333(f333(f250(x72851),f2(x72851)),x72852))+~P24(f333(f333(f250(x72851),f2(x72851)),f333(f333(f291(x72851),x72853),x72852)))
% 163.24/162.98 [7286]~P65(x72861)+P24(f333(f333(f250(x72861),x72862),f2(x72861)))+P24(f333(f333(f250(x72861),f2(x72861)),x72862))+~P24(f333(f333(f250(x72861),f2(x72861)),f333(f333(f291(x72861),x72862),x72863)))
% 163.24/162.98 [7369]~E(f333(f333(f106(f890(x73691,a874)),f333(f173(x73691),x73692)),f333(f173(x73691),x73693)),f194(f890(x73691,a874)))+~P24(f333(f138(x73691),x73693))+~P24(f333(f138(x73691),x73692))+P24(f333(f138(x73691),f333(f333(f127(x73691),x73692),x73693)))
% 163.24/162.98 [7370]~P109(x73701)+~P24(f333(f63(x73701),x73703))+E(f14(x73701,f248(x73701),f333(f333(f311(x73701),x73702),x73703)),x73702)+~E(f333(f333(f3(f890(x73701,a874)),x73703),f333(f333(f311(x73701),x73702),f194(f890(x73701,a874)))),f194(f890(x73701,a874)))
% 163.24/162.98 [7371]~P109(x73711)+~P24(f333(f63(x73711),x73713))+E(f15(x73711,f249(x73711),f333(f333(f311(x73711),x73712),x73713)),x73712)+~E(f333(f333(f3(f890(x73711,a874)),x73713),f333(f333(f311(x73711),x73712),f194(f890(x73711,a874)))),f194(f890(x73711,a874)))
% 163.24/162.98 [7386]~P120(x73861)+~P24(f333(f333(f251(x73861),x73862),x73863))+~P24(f333(f333(f251(x73861),f333(f80(x73861),x73862)),x73863))+P24(f333(f333(f251(x73861),f333(f76(x73861),x73862)),x73863))
% 163.24/162.98 [7388]~P87(x73881)+~P24(f333(f333(f250(x73881),x73882),x73883))+~P24(f333(f333(f250(x73881),f333(f80(x73881),x73882)),x73883))+P24(f333(f333(f250(x73881),f333(f76(x73881),x73882)),x73883))
% 163.24/162.98 [7459]~P129(x74591)+P24(f333(f333(f251(x74591),f2(x74591)),x74592))+~P24(f333(f333(f251(x74591),f2(x74591)),x74593))+~P24(f333(f333(f251(x74591),f2(x74591)),f333(f333(f82(x74591),x74593),x74592)))
% 163.24/162.98 [7460]~P129(x74601)+P24(f333(f333(f251(x74601),f2(x74601)),x74602))+~P24(f333(f333(f251(x74601),f2(x74601)),x74603))+~P24(f333(f333(f251(x74601),f2(x74601)),f333(f333(f82(x74601),x74602),x74603)))
% 163.24/162.98 [7756]E(x77561,x77562)+~P24(f333(f63(x77563),x77561))+~P24(f333(f333(f250(a880),f333(f39(x77563),x77561)),f333(f39(x77563),x77562)))+~P24(f333(f333(f250(f890(x77563,a874)),x77562),x77561))
% 163.24/162.98 [7896]~P24(f333(f333(f251(a1),x78961),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x78962))+~P24(f333(f333(f250(a1),x78962),x78963))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x78961),x78962)),f333(f333(f40(a1),x78961),x78963)))
% 163.24/162.98 [7908]~P24(f333(f333(f251(a1),f2(a1)),x79083))+~P24(f333(f333(f250(a1),f2(a1)),x79081))+~P24(f333(f333(f250(a1),x79083),x79082))+P24(f333(f333(f250(a1),f333(f333(f40(a1),x79081),x79082)),f333(f333(f40(a1),x79081),x79083)))
% 163.24/162.98 [8043]E(f333(x80431,f454(x80432,x80431,x80433)),x80432)+~P24(f333(f333(f250(a1),x80432),f333(x80431,x80433)))+P24(f333(f333(f251(a880),f455(x80432,x80431,x80433)),x80433))+~P24(f333(f333(f250(a1),f333(x80431,f2(a880))),x80432))
% 163.24/162.98 [8044]E(f333(x80441,f458(x80442,x80441,x80443)),x80442)+~P24(f333(f333(f250(a1),x80442),f333(x80441,x80443)))+P24(f333(f333(f251(a880),f459(x80442,x80441,x80443)),x80443))+~P24(f333(f333(f250(a1),f333(x80441,f2(a880))),x80442))
% 163.24/162.98 [8153]~P24(f333(f63(x81531),x81533))+~P24(f333(f333(f251(a880),f333(f39(x81531),x81532)),f333(f39(x81531),x81533)))+~P24(f333(f333(f250(f890(x81531,a874)),x81532),x81533))+P24(f333(f333(f251(f890(x81531,a874)),x81532),x81533))
% 163.24/162.98 [8182]E(f333(f333(f81(a1),f416(x81823,x81821,x81822)),f417(x81823,x81821,x81822)),x81821)+E(f333(f333(f3(a1),x81821),x81822),x81821)+~P24(f333(f333(f251(a1),f2(a1)),x81822))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x81821),f79(a1))),x81823))
% 163.24/162.98 [8183]E(f333(f333(f3(a1),f429(x81833,x81831,x81832)),f430(x81833,x81831,x81832)),x81831)+E(f333(f333(f81(a1),x81831),x81832),x81831)+~P24(f333(f333(f251(a1),f2(a1)),x81832))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x81831),f79(a1))),x81833))
% 163.24/162.98 [8234]~P24(f333(f333(f250(a880),x82343),x82341))+P24(f333(f333(f251(a880),x82341),x82342))+~P24(f333(f333(f250(a880),x82343),x82342))+~P24(f333(f333(f251(a880),f333(f333(f3(a880),x82341),x82343)),f333(f333(f3(a880),x82342),x82343)))
% 163.24/162.98 [8235]~P24(f333(f333(f250(a880),x82353),x82351))+P24(f333(f333(f250(a880),x82351),x82352))+~P24(f333(f333(f250(a880),x82353),x82352))+~P24(f333(f333(f250(a880),f333(f333(f3(a880),x82351),x82353)),f333(f333(f3(a880),x82352),x82353)))
% 163.24/162.98 [8251]~P109(x82512)+E(x82511,f118(x82512))+~P31(x82512,f333(f170(x82512),x82511))+E(f333(f143(x82512,x82512,f333(f9(x82512,x82512,x82512),f249(x82512)),x82513),f333(f170(x82512),x82511)),f333(f333(f249(x82512),f333(f333(f166(x82512),x82511),f2(a880))),x82513))
% 163.24/162.98 [8317]E(f333(f333(f3(a1),x83171),x83172),x83171)+~P24(f333(f333(f251(a1),f2(a1)),x83172))+P24(f333(f333(f335(a1),f416(x83173,x83171,x83172)),x83173))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x83171),f79(a1))),x83173))
% 163.24/162.98 [8318]E(f333(f333(f81(a1),x83181),x83182),x83181)+~P24(f333(f333(f251(a1),f2(a1)),x83182))+P24(f333(f333(f335(a1),f429(x83183,x83181,x83182)),x83183))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x83181),f79(a1))),x83183))
% 163.24/162.98 [8392]~P24(f333(f333(f250(a1),x83921),f333(x83922,x83923)))+P24(f333(f333(f250(a880),f454(x83921,x83922,x83923)),x83923))+P24(f333(f333(f251(a880),f455(x83921,x83922,x83923)),x83923))+~P24(f333(f333(f250(a1),f333(x83922,f2(a880))),x83921))
% 163.24/162.98 [8393]~P24(f333(f333(f250(a1),x83931),f333(x83932,x83933)))+P24(f333(f333(f250(a880),f458(x83931,x83932,x83933)),x83933))+P24(f333(f333(f251(a880),f459(x83931,x83932,x83933)),x83933))+~P24(f333(f333(f250(a1),f333(x83932,f2(a880))),x83931))
% 163.24/162.98 [8470]E(f333(f333(f3(a1),x84701),x84702),x84701)+~P24(f333(f333(f251(a1),f2(a1)),x84702))+P24(f333(f333(f335(a1),f417(x84703,x84701,x84702)),f304(a1,f79(a1),x84702)))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x84701),f79(a1))),x84703))
% 163.24/162.98 [8471]E(f333(f333(f81(a1),x84711),x84712),x84711)+~P24(f333(f333(f251(a1),f2(a1)),x84712))+P24(f333(f333(f335(a1),f430(x84713,x84711,x84712)),f304(a1,f79(a1),x84712)))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x84711),f79(a1))),x84713))
% 163.24/162.98 [8600]~P123(x86001)+~P24(f333(f333(f251(x86001),x86002),f79(x86001)))+~P24(f333(f333(f251(x86001),f2(x86001)),x86002))+P24(f333(f333(f251(x86001),f333(f333(f82(x86001),x86002),f333(f333(f264(x86001),x86002),x86003))),f333(f333(f264(x86001),x86002),x86003)))
% 163.24/162.98 [8675]~P24(f333(x86751,x86752))+P24(f333(x86751,f2(a880)))+~P24(f333(f333(f251(a880),x86752),x86753))+~P24(f333(x86751,f46(a880,f333(a117,f452(x86752,x86751,x86753)),x86753)))
% 163.24/162.98 [8817]E(f516(x88171,x88172,x88173),f2(a880))+P24(f333(f333(x88171,x88173),x88172))+P24(f333(f333(x88171,f516(x88171,x88172,x88173)),f46(a880,f514(x88171,x88172,x88173),f516(x88171,x88172,x88173))))+~P24(f333(f321(f889(a880,a880),a229),f333(f333(f263(a880,a880),x88173),x88172)))
% 163.24/162.98 [8855]~P21(x88551,x88551,x88552,x88553)+E(f333(f312(x88551,x88551,x88552),x88553),x88553)+~P24(f333(f63(x88551),x88553))+~P24(f333(f333(f250(f890(x88551,a874)),f333(f312(x88551,x88551,x88552),x88553)),x88553))
% 163.24/162.98 [9081]P24(f333(f333(x90811,x90812),x90813))+~P24(f333(f333(f251(a1),f513(x90811,x90813,x90812)),f2(a1)))+P24(f333(f333(x90811,f333(f80(a1),f510(x90811,x90813,x90812))),f333(f80(a1),f513(x90811,x90813,x90812))))+~P24(f333(f321(f889(a1,a1),a231),f333(f333(f263(a1,a1),x90812),x90813)))
% 163.24/162.98 [9280]P24(f333(f333(x92801,x92802),x92803))+P24(f333(f333(x92801,f333(f333(f81(a1),f586(x92801,x92803,x92802)),f79(a1))),f588(x92801,x92803,x92802)))+~P24(f333(f333(f250(a1),f586(x92801,x92803,x92802)),f588(x92801,x92803,x92802)))+~P24(f333(f321(f889(a1,a1),a183),f333(f333(f263(a1,a1),x92802),x92803)))
% 163.24/162.98 [9726]~P62(x97262)+~P62(x97261)+~P24(f333(f59(f889(x97261,x97262)),x97263))+P24(f333(f59(x97261),f333(f333(f10(f890(x97262,a874),a874,x97261),f59(x97262)),f333(f333(f10(f890(x97262,f889(x97261,x97262)),f890(x97262,a874),x97261),f333(f10(f889(x97261,x97262),a874,x97262),x97263)),f263(x97261,x97262)))))
% 163.24/162.98 [9727]~P62(x97272)+~P62(x97271)+~P24(f333(f60(f889(x97271,x97272)),x97273))+P24(f333(f60(x97271),f333(f333(f10(f890(x97272,a874),a874,x97271),f60(x97272)),f333(f333(f10(f890(x97272,f889(x97271,x97272)),f890(x97272,a874),x97271),f333(f10(f889(x97271,x97272),a874,x97272),x97273)),f263(x97271,x97272)))))
% 163.24/162.98 [9839]~P62(x98392)+~P62(x98391)+P24(f333(f59(f889(x98391,x98392)),x98393))+~P24(f333(f59(x98391),f333(f333(f10(f890(x98392,a874),a874,x98391),f59(x98392)),f333(f333(f10(f890(x98392,f889(x98391,x98392)),f890(x98392,a874),x98391),f333(f10(f889(x98391,x98392),a874,x98392),x98393)),f263(x98391,x98392)))))
% 163.24/162.98 [9840]~P62(x98402)+~P62(x98401)+P24(f333(f60(f889(x98401,x98402)),x98403))+~P24(f333(f60(x98401),f333(f333(f10(f890(x98402,a874),a874,x98401),f60(x98402)),f333(f333(f10(f890(x98402,f889(x98401,x98402)),f890(x98402,a874),x98401),f333(f10(f889(x98401,x98402),a874,x98402),x98403)),f263(x98401,x98402)))))
% 163.24/162.98 [9988]E(f333(x99881,f454(x99882,x99881,x99883)),x99882)+~P24(f333(f333(f250(a1),x99882),f333(x99881,x99883)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x99881,f333(f333(f81(a880),f455(x99882,x99881,x99883)),f79(a880)))),f333(x99881,f455(x99882,x99881,x99883))))),f79(a1)))+~P24(f333(f333(f250(a1),f333(x99881,f2(a880))),x99882))
% 163.24/162.98 [9989]E(f333(x99891,f458(x99892,x99891,x99893)),x99892)+~P24(f333(f333(f250(a1),x99892),f333(x99891,x99893)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x99891,f333(f333(f81(a880),f459(x99892,x99891,x99893)),f79(a880)))),f333(x99891,f459(x99892,x99891,x99893))))),f79(a1)))+~P24(f333(f333(f250(a1),f333(x99891,f2(a880))),x99892))
% 163.24/162.98 [9993]~P24(f333(f333(f250(a1),x99931),f333(x99932,x99933)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x99932,f333(f333(f81(a880),f455(x99931,x99932,x99933)),f79(a880)))),f333(x99932,f455(x99931,x99932,x99933))))),f79(a1)))+P24(f333(f333(f250(a880),f454(x99931,x99932,x99933)),x99933))+~P24(f333(f333(f250(a1),f333(x99932,f2(a880))),x99931))
% 163.24/162.98 [9994]~P24(f333(f333(f250(a1),x99941),f333(x99942,x99943)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x99942,f333(f333(f81(a880),f459(x99941,x99942,x99943)),f79(a880)))),f333(x99942,f459(x99941,x99942,x99943))))),f79(a1)))+P24(f333(f333(f250(a880),f458(x99941,x99942,x99943)),x99943))+~P24(f333(f333(f250(a1),f333(x99942,f2(a880))),x99941))
% 163.24/162.98 [10047]E(x100471,x100472)+~E(f333(f143(f881(x100473),f881(x100473),f127(x100473),f118(x100473)),x100471),f333(f143(f881(x100473),f881(x100473),f127(x100473),f118(x100473)),x100472))+~E(f333(f195(f881(f881(x100473))),x100471),f333(f195(f881(f881(x100473))),x100472))+~P24(f333(f333(f272(f881(x100473),f881(x100473),a874),f333(f333(f9(f881(x100473),f890(f881(x100473),a880),f890(f881(x100473),a874)),f333(f333(f10(f890(a880,a874),f890(f890(f881(x100473),a880),f890(f881(x100473),a874)),f881(x100473)),f10(a880,a874,f881(x100473))),f333(f333(f10(a880,f890(a880,a874),f881(x100473)),a330),f195(f881(x100473))))),f195(f881(x100473)))),f659(x100472,x100471,x100473)))
% 163.24/162.98 [10048]E(x100481,x100482)+~E(f333(f143(f881(x100483),f881(x100483),f127(x100483),f118(x100483)),x100481),f333(f143(f881(x100483),f881(x100483),f127(x100483),f118(x100483)),x100482))+~E(f333(f195(f881(f881(x100483))),x100481),f333(f195(f881(f881(x100483))),x100482))+~P24(f333(f333(f272(f881(x100483),f881(x100483),a874),f333(f333(f9(f881(x100483),f890(f881(x100483),a880),f890(f881(x100483),a874)),f333(f333(f10(f890(a880,a874),f890(f890(f881(x100483),a880),f890(f881(x100483),a874)),f881(x100483)),f10(a880,a874,f881(x100483))),f333(f333(f10(a880,f890(a880,a874),f881(x100483)),a330),f195(f881(x100483))))),f195(f881(x100483)))),f660(x100481,x100482,x100483)))
% 163.24/162.98 [6801]~E(f79(a880),f2(a880))+~P24(f333(f63(x68011),x68013))+~P24(f333(f63(x68011),x68012))+E(f333(f333(f81(a880),f333(f39(x68011),x68012)),f333(f39(x68011),x68013)),f333(f39(x68011),f333(f333(f115(f890(x68011,a874)),x68012),x68013)))
% 163.24/162.98 [7210]~P102(x72101)+~P24(f333(f63(x72101),x72102))+~P24(f333(f333(f335(x72101),x72103),x72102))+P24(f333(f333(f250(x72101),f333(f65(x72101,f106(x72101)),x72102)),x72103))
% 163.24/162.98 [7211]~P109(x72111)+~P24(f333(f63(x72111),x72112))+~P24(f333(f333(f335(x72111),x72113),x72112))+P24(f333(f333(f250(x72111),f333(f65(x72111,f248(x72111)),x72112)),x72113))
% 163.24/162.98 [7453]~P24(f333(f63(x74531),x74533))+~P24(f333(f63(x74531),x74532))+~E(f333(f333(f106(f890(x74531,a874)),x74532),x74533),f194(f890(x74531,a874)))+E(f333(f333(f81(a880),f333(f39(x74531),x74532)),f333(f39(x74531),x74533)),f333(f39(x74531),f333(f333(f115(f890(x74531,a874)),x74532),x74533)))
% 163.24/162.98 [8240]~P40(x82401,x82403)+~P40(x82401,x82402)+~E(f333(f333(f106(f890(x82401,a874)),f333(f261(x82401,x82401),x82402)),f333(f259(x82401,x82401),x82403)),f194(f890(x82401,a874)))+P40(x82401,f333(f333(f115(f890(f889(x82401,x82401),a874)),x82402),x82403))
% 163.24/162.98 [8329]E(x83291,f333(f333(f40(a880),x83292),x83293))+~P24(f333(f333(f251(a880),f2(a880)),x83293))+~P24(f333(f333(f251(a880),x83292),f333(f333(f82(a880),x83293),f333(a117,x83291))))+~P24(f333(f333(f250(a880),f333(f333(f82(a880),x83293),x83291)),x83292))
% 163.24/162.98 [8468]~P24(f333(f63(x84681),x84682))+~P24(f333(f63(x84681),x84683))+E(f333(f333(f81(a880),f333(f39(x84681),x84682)),f333(f39(x84681),x84683)),f333(f39(x84681),f333(f333(f115(f890(x84681,a874)),x84682),x84683)))+P24(f333(f333(f335(x84681),f870(x84683,x84682,x84681)),f333(f333(f106(f890(x84681,a874)),x84682),x84683)))
% 163.24/162.98 [8830]~P124(x88302)+~E(x88301,f2(x88302))+~E(x88303,f2(x88302))+~P24(f333(f333(f251(x88302),f2(x88302)),f333(f333(f81(x88302),f333(f333(f82(x88302),x88303),x88303)),f333(f333(f82(x88302),x88301),x88301))))
% 163.24/162.98 [9364]~P40(x93641,x93643)+~P40(x93641,x93642)+P40(x93641,f333(f333(f115(f890(f889(x93641,x93641),a874)),x93642),x93643))+~P24(f333(f333(f250(f890(f889(x93641,x93641),a874)),f333(f333(f290(x93641,x93641,x93641),x93642),x93643)),x93642))
% 163.24/162.98 [9484]~P24(f333(x94841,x94843))+~P24(f333(f63(x94842),x94843))+P24(f333(x94841,f194(f890(x94842,a874))))+~P24(f333(x94841,f333(f333(f3(f890(x94842,a874)),f608(x94841,x94843,x94842)),f333(f333(f311(x94842),f605(x94841,x94843,x94842)),f194(f890(x94842,a874))))))
% 163.24/162.98 [9768]~P62(x97681)+~P62(x97682)+P8(x97681,f333(f333(f10(f890(x97682,x97681),a874,f881(x97681)),x97683),f333(f333(f10(f890(x97682,f884(x97681)),f890(x97682,x97681),f881(x97681)),f74(f884(x97681),x97681,x97682,f246(x97681))),f333(f333(f10(f881(f889(x97682,x97681)),f890(x97682,f884(x97681)),f881(x97681)),f178(x97682,x97681)),f333(f182(x97682,x97681),f57(x97682))))),f333(f195(f881(x97682)),f57(x97682)))+~P24(f333(f60(f890(x97682,x97681)),x97683))
% 163.24/162.98 [9769]~P62(x97691)+~P62(x97692)+P7(x97691,f333(f333(f10(f890(x97692,x97691),a874,f881(x97691)),x97693),f333(f333(f10(f890(x97692,f884(x97691)),f890(x97692,x97691),f881(x97691)),f74(f884(x97691),x97691,x97692,f246(x97691))),f333(f333(f10(f881(f889(x97692,x97691)),f890(x97692,f884(x97691)),f881(x97691)),f178(x97692,x97691)),f333(f182(x97692,x97691),f57(x97692))))),f333(f195(f881(x97692)),f57(x97692)))+~P24(f333(f59(f890(x97692,x97691)),x97693))
% 163.24/162.98 [9859]~P62(x98591)+~P62(x98592)+~P7(x98592,f333(f333(f10(f890(x98591,x98592),a874,f881(x98592)),x98593),f333(f333(f10(f890(x98591,f884(x98592)),f890(x98591,x98592),f881(x98592)),f74(f884(x98592),x98592,x98591,f246(x98592))),f333(f333(f10(f881(f889(x98591,x98592)),f890(x98591,f884(x98592)),f881(x98592)),f178(x98591,x98592)),f333(f182(x98591,x98592),f57(x98591))))),f333(f195(f881(x98591)),f57(x98591)))+P24(f333(f59(f890(x98591,x98592)),x98593))
% 163.24/162.98 [9860]~P62(x98601)+~P62(x98602)+~P8(x98602,f333(f333(f10(f890(x98601,x98602),a874,f881(x98602)),x98603),f333(f333(f10(f890(x98601,f884(x98602)),f890(x98601,x98602),f881(x98602)),f74(f884(x98602),x98602,x98601,f246(x98602))),f333(f333(f10(f881(f889(x98601,x98602)),f890(x98601,f884(x98602)),f881(x98602)),f178(x98601,x98602)),f333(f182(x98601,x98602),f57(x98601))))),f333(f195(f881(x98601)),f57(x98601)))+P24(f333(f60(f890(x98601,x98602)),x98603))
% 163.24/162.98 [8636]~P24(f333(f333(f251(a1),f2(a1)),x86363))+P24(f333(f333(f250(a1),f2(a1)),x86361))+~P24(f333(f333(f251(a1),x86362),x86363))+~P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),f333(f333(f82(a1),x86363),x86361)),x86362)))
% 163.24/162.98 [8651]~P26(x86511)+~P24(f333(f63(x86511),x86512))+E(f333(f333(f3(f890(x86511,a874)),x86512),f333(f333(f311(x86511),x86513),f194(f890(x86511,a874)))),f194(f890(x86511,a874)))+E(f333(f333(f115(x86511),x86513),f12(x86511,f333(f333(f3(f890(x86511,a874)),x86512),f333(f333(f311(x86511),x86513),f194(f890(x86511,a874)))))),f12(x86511,f333(f333(f311(x86511),x86513),x86512)))
% 163.24/162.98 [8652]~P26(x86521)+~P24(f333(f63(x86521),x86522))+E(f333(f333(f3(f890(x86521,a874)),x86522),f333(f333(f311(x86521),x86523),f194(f890(x86521,a874)))),f194(f890(x86521,a874)))+E(f333(f333(f106(x86521),x86523),f13(x86521,f333(f333(f3(f890(x86521,a874)),x86522),f333(f333(f311(x86521),x86523),f194(f890(x86521,a874)))))),f13(x86521,f333(f333(f311(x86521),x86523),x86522)))
% 163.24/162.98 [8653]~P109(x86531)+~P24(f333(f63(x86531),x86532))+E(f333(f333(f3(f890(x86531,a874)),x86532),f333(f333(f311(x86531),x86533),f194(f890(x86531,a874)))),f194(f890(x86531,a874)))+E(f333(f333(f248(x86531),x86533),f16(x86531,f333(f333(f3(f890(x86531,a874)),x86532),f333(f333(f311(x86531),x86533),f194(f890(x86531,a874)))))),f16(x86531,f333(f333(f311(x86531),x86533),x86532)))
% 163.24/162.98 [8654]~P109(x86541)+~P24(f333(f63(x86541),x86542))+E(f333(f333(f3(f890(x86541,a874)),x86542),f333(f333(f311(x86541),x86543),f194(f890(x86541,a874)))),f194(f890(x86541,a874)))+E(f333(f333(f249(x86541),x86543),f17(x86541,f333(f333(f3(f890(x86541,a874)),x86542),f333(f333(f311(x86541),x86543),f194(f890(x86541,a874)))))),f17(x86541,f333(f333(f311(x86541),x86543),x86542)))
% 163.24/162.98 [8716]~P109(x87161)+~P24(f333(f63(x87161),x87162))+E(f333(f333(f3(f890(x87161,a874)),x87162),f333(f333(f311(x87161),x87163),f194(f890(x87161,a874)))),f194(f890(x87161,a874)))+E(f333(f333(f248(x87161),x87163),f14(x87161,f248(x87161),f333(f333(f3(f890(x87161,a874)),x87162),f333(f333(f311(x87161),x87163),f194(f890(x87161,a874)))))),f14(x87161,f248(x87161),f333(f333(f311(x87161),x87163),x87162)))
% 163.24/162.98 [8717]~P109(x87171)+~P24(f333(f63(x87171),x87172))+E(f333(f333(f3(f890(x87171,a874)),x87172),f333(f333(f311(x87171),x87173),f194(f890(x87171,a874)))),f194(f890(x87171,a874)))+E(f333(f333(f249(x87171),x87173),f15(x87171,f249(x87171),f333(f333(f3(f890(x87171,a874)),x87172),f333(f333(f311(x87171),x87173),f194(f890(x87171,a874)))))),f15(x87171,f249(x87171),f333(f333(f311(x87171),x87173),x87172)))
% 163.24/162.98 [9300]E(x93001,x93002)+~E(f333(f143(f881(x93003),f881(x93003),f127(x93003),f118(x93003)),x93001),f333(f143(f881(x93003),f881(x93003),f127(x93003),f118(x93003)),x93002))+~E(f333(f195(f881(f881(x93003))),x93001),f333(f195(f881(f881(x93003))),x93002))+P24(f333(f333(f335(f889(f881(x93003),f881(x93003))),f659(x93002,x93001,x93003)),f333(f173(f889(f881(x93003),f881(x93003))),f333(f333(f182(f881(x93003),f881(x93003)),x93001),x93002))))
% 163.24/162.98 [9301]E(x93011,x93012)+~E(f333(f143(f881(x93013),f881(x93013),f127(x93013),f118(x93013)),x93011),f333(f143(f881(x93013),f881(x93013),f127(x93013),f118(x93013)),x93012))+~E(f333(f195(f881(f881(x93013))),x93011),f333(f195(f881(f881(x93013))),x93012))+P24(f333(f333(f335(f889(f881(x93013),f881(x93013))),f660(x93011,x93012,x93013)),f333(f173(f889(f881(x93013),f881(x93013))),f333(f333(f182(f881(x93013),f881(x93013)),x93012),x93011))))
% 163.24/162.98 [10165]~P99(x101652)+E(x101651,f194(f890(x101652,a874)))+~P24(f333(f63(x101652),x101651))+E(f13(x101652,f333(f255(x101652),f333(f333(f10(f890(x101652,a874),a874,x101652),f87(x101652)),f333(f333(f9(x101652,f890(x101652,a874),f890(x101652,a874)),f333(f333(f10(f890(x101652,f890(a874,a874)),f890(f890(x101652,a874),f890(x101652,a874)),x101652),f20(x101652,a874,a874)),f333(f333(f10(f890(x101652,a874),f890(x101652,f890(a874,a874)),x101652),f333(f10(a874,f890(a874,a874),x101652),a331)),f333(f333(f9(x101652,f890(x101652,x101652),f890(x101652,a874)),f333(f333(f10(f890(x101652,a874),f890(f890(x101652,x101652),f890(x101652,a874)),x101652),f10(x101652,a874,x101652)),a330)),f333(f115(x101652),x101653))))),f333(f333(f9(x101652,f890(x101652,a874),a874),f335(x101652)),x101651))))),f333(f333(f115(x101652),x101653),f13(x101652,x101651)))
% 163.24/162.98 [10166]~P99(x101662)+E(x101661,f194(f890(x101662,a874)))+~P24(f333(f63(x101662),x101661))+E(f12(x101662,f333(f255(x101662),f333(f333(f10(f890(x101662,a874),a874,x101662),f87(x101662)),f333(f333(f9(x101662,f890(x101662,a874),f890(x101662,a874)),f333(f333(f10(f890(x101662,f890(a874,a874)),f890(f890(x101662,a874),f890(x101662,a874)),x101662),f20(x101662,a874,a874)),f333(f333(f10(f890(x101662,a874),f890(x101662,f890(a874,a874)),x101662),f333(f10(a874,f890(a874,a874),x101662),a331)),f333(f333(f9(x101662,f890(x101662,x101662),f890(x101662,a874)),f333(f333(f10(f890(x101662,a874),f890(f890(x101662,x101662),f890(x101662,a874)),x101662),f10(x101662,a874,x101662)),a330)),f333(f106(x101662),x101663))))),f333(f333(f9(x101662,f890(x101662,a874),a874),f335(x101662)),x101661))))),f333(f333(f106(x101662),x101663),f12(x101662,x101661)))
% 163.24/162.98 [10167]~P78(x101672)+E(x101671,f194(f890(x101672,a874)))+~P24(f333(f63(x101672),x101671))+E(f16(x101672,f333(f255(x101672),f333(f333(f10(f890(x101672,a874),a874,x101672),f87(x101672)),f333(f333(f9(x101672,f890(x101672,a874),f890(x101672,a874)),f333(f333(f10(f890(x101672,f890(a874,a874)),f890(f890(x101672,a874),f890(x101672,a874)),x101672),f20(x101672,a874,a874)),f333(f333(f10(f890(x101672,a874),f890(x101672,f890(a874,a874)),x101672),f333(f10(a874,f890(a874,a874),x101672),a331)),f333(f333(f9(x101672,f890(x101672,x101672),f890(x101672,a874)),f333(f333(f10(f890(x101672,a874),f890(f890(x101672,x101672),f890(x101672,a874)),x101672),f10(x101672,a874,x101672)),a330)),f333(f81(x101672),x101673))))),f333(f333(f9(x101672,f890(x101672,a874),a874),f335(x101672)),x101671))))),f333(f333(f81(x101672),x101673),f16(x101672,x101671)))
% 163.24/162.98 [10168]~P78(x101682)+E(x101681,f194(f890(x101682,a874)))+~P24(f333(f63(x101682),x101681))+E(f17(x101682,f333(f255(x101682),f333(f333(f10(f890(x101682,a874),a874,x101682),f87(x101682)),f333(f333(f9(x101682,f890(x101682,a874),f890(x101682,a874)),f333(f333(f10(f890(x101682,f890(a874,a874)),f890(f890(x101682,a874),f890(x101682,a874)),x101682),f20(x101682,a874,a874)),f333(f333(f10(f890(x101682,a874),f890(x101682,f890(a874,a874)),x101682),f333(f10(a874,f890(a874,a874),x101682),a331)),f333(f333(f9(x101682,f890(x101682,x101682),f890(x101682,a874)),f333(f333(f10(f890(x101682,a874),f890(f890(x101682,x101682),f890(x101682,a874)),x101682),f10(x101682,a874,x101682)),a330)),f333(f81(x101682),x101683))))),f333(f333(f9(x101682,f890(x101682,a874),a874),f335(x101682)),x101681))))),f333(f333(f81(x101682),x101683),f17(x101682,x101681)))
% 163.24/162.98 [10169]~P109(x101692)+E(x101691,f194(f890(x101692,a874)))+~P24(f333(f63(x101692),x101691))+E(f15(x101692,f249(x101692),f333(f255(x101692),f333(f333(f10(f890(x101692,a874),a874,x101692),f87(x101692)),f333(f333(f9(x101692,f890(x101692,a874),f890(x101692,a874)),f333(f333(f10(f890(x101692,f890(a874,a874)),f890(f890(x101692,a874),f890(x101692,a874)),x101692),f20(x101692,a874,a874)),f333(f333(f10(f890(x101692,a874),f890(x101692,f890(a874,a874)),x101692),f333(f10(a874,f890(a874,a874),x101692),a331)),f333(f333(f9(x101692,f890(x101692,x101692),f890(x101692,a874)),f333(f333(f10(f890(x101692,a874),f890(f890(x101692,x101692),f890(x101692,a874)),x101692),f10(x101692,a874,x101692)),a330)),f333(f248(x101692),x101693))))),f333(f333(f9(x101692,f890(x101692,a874),a874),f335(x101692)),x101691))))),f333(f333(f248(x101692),x101693),f15(x101692,f249(x101692),x101691)))
% 163.24/162.98 [10170]~P109(x101702)+E(x101701,f194(f890(x101702,a874)))+~P24(f333(f63(x101702),x101701))+E(f14(x101702,f248(x101702),f333(f255(x101702),f333(f333(f10(f890(x101702,a874),a874,x101702),f87(x101702)),f333(f333(f9(x101702,f890(x101702,a874),f890(x101702,a874)),f333(f333(f10(f890(x101702,f890(a874,a874)),f890(f890(x101702,a874),f890(x101702,a874)),x101702),f20(x101702,a874,a874)),f333(f333(f10(f890(x101702,a874),f890(x101702,f890(a874,a874)),x101702),f333(f10(a874,f890(a874,a874),x101702),a331)),f333(f333(f9(x101702,f890(x101702,x101702),f890(x101702,a874)),f333(f333(f10(f890(x101702,a874),f890(f890(x101702,x101702),f890(x101702,a874)),x101702),f10(x101702,a874,x101702)),a330)),f333(f249(x101702),x101703))))),f333(f333(f9(x101702,f890(x101702,a874),a874),f335(x101702)),x101701))))),f333(f333(f249(x101702),x101703),f14(x101702,f248(x101702),x101701)))
% 163.24/162.98 [10110]~P120(x101101)+~E(x101103,f2(x101101))+~E(x101102,f2(x101101))+E(f333(f333(f81(x101101),f333(f333(f264(x101101),x101102),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101101),x101103),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f2(x101101))
% 163.24/162.98 [10174]~P123(x101741)+~P24(f333(f333(f250(x101741),f2(x101741)),x101743))+P24(f333(f333(f250(x101741),x101742),x101743))+~P24(f333(f333(f250(x101741),f333(f333(f264(x101741),x101742),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101741),x101743),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))))
% 163.24/162.98 [10197]~P120(x101972)+~E(x101971,f2(x101972))+~E(x101973,f2(x101972))+~P24(f333(f333(f251(x101972),f2(x101972)),f333(f333(f81(x101972),f333(f333(f264(x101972),x101973),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102)))),f333(f333(f264(x101972),x101971),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))))
% 163.24/162.98 [9259]E(x92591,x92592)+~E(f637(x92591,x92592,x92594,x92593),f641(x92591,x92592,x92594,x92593))+P24(f333(f333(f335(f889(f881(x92593),f881(x92593))),f333(f333(f263(f881(x92593),f881(x92593)),x92592),x92591)),f148(x92593,x92594)))+P24(f333(f333(f335(f889(f881(x92593),f881(x92593))),f333(f333(f263(f881(x92593),f881(x92593)),x92591),x92592)),f148(x92593,x92594)))
% 163.24/162.98 [4876]~P63(x48762)+~E(x48764,f2(x48762))+~E(x48761,f2(x48762))+E(x48761,f333(f333(f291(x48762),x48763),x48764))
% 163.24/162.98 [4877]~P63(x48771)+~E(x48773,f2(x48771))+~E(x48774,f2(x48771))+E(f333(f333(f291(x48771),x48772),x48773),x48774)
% 163.24/162.98 [4986]~P63(x49862)+E(x49861,f2(x49862))+~E(x49863,f2(x49862))+~E(x49861,f333(f333(f291(x49862),x49864),x49863))
% 163.24/162.98 [4987]~P63(x49872)+E(x49871,f2(x49872))+~E(x49873,f2(x49872))+~E(f333(f333(f291(x49872),x49874),x49873),x49871)
% 163.24/162.98 [5161]~P118(x51612)+E(x51611,f2(x51612))+~E(f333(f333(f291(x51612),x51613),x51611),x51614)+E(x51613,f333(f333(f82(x51612),x51614),x51611))
% 163.24/162.98 [5163]~P118(x51632)+E(x51631,f2(x51632))+~E(f333(f333(f82(x51632),x51633),x51631),x51634)+E(x51633,f333(f333(f291(x51632),x51634),x51631))
% 163.24/162.98 [5164]~P63(x51642)+E(x51641,f2(x51642))+~E(f333(f333(f291(x51642),x51643),x51641),x51644)+E(x51643,f333(f333(f82(x51642),x51644),x51641))
% 163.24/162.98 [5165]~P63(x51652)+E(x51651,f2(x51652))+~E(f333(f333(f82(x51652),x51653),x51651),x51654)+E(x51653,f333(f333(f291(x51652),x51654),x51651))
% 163.24/162.98 [5166]~P118(x51662)+E(x51661,f2(x51662))+~E(x51663,f333(f333(f291(x51662),x51664),x51661))+E(f333(f333(f82(x51662),x51663),x51661),x51664)
% 163.24/162.98 [5168]~P118(x51682)+E(x51681,f2(x51682))+~E(x51683,f333(f333(f82(x51682),x51684),x51681))+E(f333(f333(f291(x51682),x51683),x51681),x51684)
% 163.24/162.98 [5169]~P63(x51692)+E(x51691,f2(x51692))+~E(x51693,f333(f333(f291(x51692),x51694),x51691))+E(f333(f333(f82(x51692),x51693),x51691),x51694)
% 163.24/162.98 [5170]~P63(x51702)+E(x51701,f2(x51702))+~E(x51703,f333(f333(f82(x51702),x51704),x51701))+E(f333(f333(f291(x51702),x51703),x51701),x51704)
% 163.24/162.98 [5203]~P63(x52032)+~E(x52031,f2(x52032))+~E(f333(f333(f82(x52032),x52031),x52034),x52033)+E(x52031,f333(f333(f291(x52032),x52033),x52034))
% 163.24/162.98 [5204]~P63(x52041)+~E(x52044,f2(x52041))+~E(x52042,f333(f333(f82(x52041),x52044),x52043))+E(f333(f333(f291(x52041),x52042),x52043),x52044)
% 163.24/162.98 [5278]~E(x52783,x52784)+~E(x52782,x52783)+~P110(x52781)+E(f304(x52781,x52782,x52783),f333(f333(f311(x52781),x52784),f194(f890(x52781,a874))))
% 163.24/162.98 [5484]~E(f145(x54842,x54841),x54844)+~E(f119(x54842,x54841),x54843)+E(x54841,f118(x54842))+E(f333(f333(f127(x54842),x54843),f333(f333(f152(x54842),x54844),f118(x54842))),x54841)
% 163.24/162.98 [6097]~P123(x60973)+E(x60971,x60972)+~E(f333(f333(f264(x60973),x60974),x60971),f333(f333(f264(x60973),x60974),x60972))+~P24(f333(f333(f251(x60973),f79(x60973)),x60974))
% 163.24/162.98 [6098]E(x60981,x60982)+~E(f333(f333(f311(x60983),x60984),x60981),f333(f333(f311(x60983),x60984),x60982))+P24(f333(f333(f335(x60983),x60984),x60982))+P24(f333(f333(f335(x60983),x60984),x60981))
% 163.24/162.98 [6136]E(f333(x61361,x61362),f79(a880))+~E(f333(f333(f11(x61363,a880),x61361),x61364),f79(a880))+~P24(f333(f63(x61363),x61364))+~P24(f333(f333(f335(x61363),x61362),x61364))
% 163.24/162.98 [6137]E(f333(x61371,x61372),f2(a880))+~E(f333(f333(f8(x61373,a880),x61371),x61374),f2(a880))+~P24(f333(f63(x61373),x61374))+~P24(f333(f333(f335(x61373),x61372),x61374))
% 163.24/162.98 [6351]~P110(x63511)+~P24(f333(f333(f251(x63511),x63514),x63513))+P24(f333(f333(f251(x63511),x63512),x63513))+~P24(f333(f333(f251(x63511),x63512),x63514))
% 163.24/162.98 [6352]~P110(x63521)+~P24(f333(f333(f250(x63521),x63524),x63523))+P24(f333(f333(f251(x63521),x63522),x63523))+~P24(f333(f333(f251(x63521),x63522),x63524))
% 163.24/162.98 [6353]~P110(x63531)+~P24(f333(f333(f250(x63531),x63532),x63534))+P24(f333(f333(f251(x63531),x63532),x63533))+~P24(f333(f333(f251(x63531),x63534),x63533))
% 163.24/162.98 [6354]~P108(x63541)+~P24(f333(f333(f251(x63541),x63542),x63544))+P24(f333(f333(f251(x63541),x63542),x63543))+~P24(f333(f333(f251(x63541),x63544),x63543))
% 163.24/162.98 [6355]~P108(x63551)+~P24(f333(f333(f250(x63551),x63552),x63554))+P24(f333(f333(f251(x63551),x63552),x63553))+~P24(f333(f333(f251(x63551),x63554),x63553))
% 163.24/162.98 [6356]~P108(x63561)+~P24(f333(f333(f250(x63561),x63564),x63563))+P24(f333(f333(f251(x63561),x63562),x63563))+~P24(f333(f333(f251(x63561),x63562),x63564))
% 163.24/162.98 [6357]~P110(x63571)+~P24(f333(f333(f250(x63571),x63574),x63573))+P24(f333(f333(f250(x63571),x63572),x63573))+~P24(f333(f333(f250(x63571),x63572),x63574))
% 163.24/162.98 [6358]~P108(x63581)+~P24(f333(f333(f250(x63581),x63582),x63584))+P24(f333(f333(f250(x63581),x63582),x63583))+~P24(f333(f333(f250(x63581),x63584),x63583))
% 163.24/162.98 [6441]~P38(x64414,x64413,x64412)+E(x64411,f812(x64412,x64413,x64414))+~P24(f333(x64413,x64411))+~P24(f333(f333(f335(x64414),x64411),f333(f173(x64414),x64412)))
% 163.24/162.98 [6582]~P29(x65821)+~P24(f333(f333(f250(x65821),x65822),f42(x65821,x65824)))+P24(f333(f333(f250(x65821),x65822),x65823))+~P24(f333(f333(f335(x65821),x65823),x65824))
% 163.24/162.98 [6728]~P109(x67281)+~P31(x67281,f333(f333(f152(x67281),x67282),x67284))+~P24(f333(f333(f335(x67281),x67283),f333(f173(x67281),x67284)))+P24(f333(f333(f250(x67281),x67282),x67283))
% 163.24/162.98 [6811]~P29(x68111)+~P24(f333(f333(f250(x68111),f41(x68111,x68114)),x68113))+P24(f333(f333(f250(x68111),x68112),x68113))+~P24(f333(f333(f335(x68111),x68112),x68114))
% 163.24/162.98 [7213]~P109(x72131)+E(f333(f333(f115(f890(x72131,a874)),f333(f303(x72131,x72132),x72133)),f333(f303(x72131,x72133),x72134)),f333(f303(x72131,x72132),x72134))+~P24(f333(f333(f250(x72131),x72133),x72134))+~P24(f333(f333(f250(x72131),x72132),x72133))
% 163.24/162.98 [7252]P38(x72521,x72522,x72523)+~E(f816(x72523,x72522,x72521,x72524),x72524)+~P24(f333(x72522,x72524))+~P24(f333(f333(f335(x72521),x72524),f333(f173(x72521),x72523)))
% 163.24/162.98 [7315]~P109(x73151)+E(f333(f333(f115(f890(x73151,a874)),f333(f303(x73151,x73152),x73153)),f304(x73151,x73153,x73154)),f304(x73151,x73152,x73154))+~P24(f333(f333(f250(x73151),x73153),x73154))+~P24(f333(f333(f250(x73151),x73152),x73153))
% 163.24/162.98 [7380]~P109(x73801)+E(f333(f333(f115(f890(x73801,a874)),f307(x73801,x73802,x73803)),f333(f303(x73801,x73803),x73804)),f307(x73801,x73802,x73804))+~P24(f333(f333(f251(x73801),x73802),x73803))+~P24(f333(f333(f250(x73801),x73803),x73804))
% 163.24/162.98 [7400]~P109(x74001)+E(f333(f333(f115(f890(x74001,a874)),f304(x74001,x74002,x74003)),f307(x74001,x74003,x74004)),f333(f303(x74001,x74002),x74004))+~P24(f333(f333(f251(x74001),x74003),x74004))+~P24(f333(f333(f250(x74001),x74002),x74003))
% 163.24/162.98 [7432]~P109(x74321)+E(f333(f333(f115(f890(x74321,a874)),f307(x74321,x74322,x74323)),f304(x74321,x74323,x74324)),f306(x74321,x74322,x74324))+~P24(f333(f333(f251(x74321),x74322),x74323))+~P24(f333(f333(f250(x74321),x74323),x74324))
% 163.24/162.98 [7433]~P109(x74331)+E(f333(f333(f115(f890(x74331,a874)),f306(x74331,x74332,x74333)),f307(x74331,x74333,x74334)),f307(x74331,x74332,x74334))+~P24(f333(f333(f251(x74331),x74333),x74334))+~P24(f333(f333(f250(x74331),x74332),x74333))
% 163.24/162.98 [7434]~P109(x74341)+E(f333(f333(f115(f890(x74341,a874)),f306(x74341,x74342,x74343)),f306(x74341,x74343,x74344)),f306(x74341,x74342,x74344))+~P24(f333(f333(f250(x74341),x74343),x74344))+~P24(f333(f333(f250(x74341),x74342),x74343))
% 163.24/162.98 [7435]~P109(x74351)+E(f333(f333(f115(f890(x74351,a874)),f304(x74351,x74352,x74353)),f306(x74351,x74353,x74354)),f304(x74351,x74352,x74354))+~P24(f333(f333(f250(x74351),x74353),x74354))+~P24(f333(f333(f250(x74351),x74352),x74353))
% 163.24/162.98 [8224]P21(x82241,x82242,f365(x82243,x82242,x82244,x82241),x82244)+~P24(f333(f63(x82242),x82243))+~P24(f333(f63(x82241),x82244))+~P24(f333(f333(f250(a880),f333(f39(x82241),x82244)),f333(f39(x82242),x82243)))
% 163.24/162.98 [8245]P38(x82451,x82452,x82453)+~P24(f333(x82452,x82454))+P24(f333(x82452,f816(x82453,x82452,x82451,x82454)))+~P24(f333(f333(f335(x82451),x82454),f333(f173(x82451),x82453)))
% 163.24/162.98 [8296]~P76(x82961)+~E(f333(x82963,f379(x82963,x82964,x82962,x82961)),f79(x82961))+E(f333(f333(f333(f67(x82961,x82962,f82(x82961)),x82963),f79(x82961)),x82964),f79(x82961))+~P24(f333(f63(x82962),x82964))
% 163.24/162.98 [8568]~P123(x85681)+~P24(f333(f333(f250(x85681),f2(x85681)),x85683))+P24(f333(f333(f250(x85681),x85682),x85683))+~P24(f333(f333(f250(x85681),f333(f333(f264(x85681),x85682),f333(a117,x85684))),f333(f333(f264(x85681),x85683),f333(a117,x85684))))
% 163.24/162.98 [8856]P38(x88561,x88562,x88563)+~P24(f333(x88562,x88564))+~P24(f333(f333(f335(x88561),x88564),f333(f173(x88561),x88563)))+P24(f333(f333(f335(x88561),f816(x88563,x88562,x88561,x88564)),f333(f173(x88561),x88563)))
% 163.24/162.98 [8943]~P76(x89431)+E(f333(f333(f333(f67(x89431,x89432,f82(x89431)),x89433),f79(x89431)),x89434),f79(x89431))+~P24(f333(f63(x89432),x89434))+P24(f333(f333(f335(x89432),f379(x89433,x89434,x89432,x89431)),x89434))
% 163.24/162.98 [9424]~P24(f333(f333(f250(a1),x94244),f2(a1)))+P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f82(a1),x94241),f46(a1,x94242,x94243))),x94244)),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x94243))+~P24(f333(f333(f251(a1),x94241),x94244))
% 163.24/162.98 [9900]~P24(f333(f63(x99001),x99002))+~P24(f333(f333(f335(x99001),x99004),x99002))+~P24(f333(f333(f335(x99001),x99003),x99002))+P24(f333(f333(f251(a880),f333(f39(x99001),f333(f333(f3(f890(x99001,a874)),f333(f333(f3(f890(x99001,a874)),x99002),f333(f333(f311(x99001),x99003),f194(f890(x99001,a874))))),f333(f333(f311(x99001),x99004),f194(f890(x99001,a874)))))),f333(f39(x99001),x99002)))
% 163.24/162.98 [6921]~P109(x69211)+~P24(f333(f333(f251(x69211),x69212),x69214))+~P24(f333(f333(f251(x69211),x69212),x69213))+P24(f333(f333(f251(x69211),x69212),f333(f333(f248(x69211),x69213),x69214)))
% 163.24/162.98 [6924]~P102(x69241)+~P24(f333(f333(f250(x69241),x69242),x69244))+~P24(f333(f333(f250(x69241),x69242),x69243))+P24(f333(f333(f250(x69241),x69242),f333(f333(f106(x69241),x69243),x69244)))
% 163.24/162.98 [6927]~P109(x69271)+~P24(f333(f333(f250(x69271),x69272),x69274))+~P24(f333(f333(f250(x69271),x69272),x69273))+P24(f333(f333(f250(x69271),x69272),f333(f333(f248(x69271),x69273),x69274)))
% 163.24/162.98 [6946]~P64(x69462)+E(x69461,f2(x69462))+E(f333(f333(f291(x69462),f333(f333(f264(x69462),x69461),x69463)),f333(f333(f264(x69462),x69461),x69464)),f333(f333(f264(x69462),x69461),f333(f333(f3(a880),x69463),x69464)))+~P24(f333(f333(f250(a880),x69464),x69463))
% 163.24/162.98 [6992]~P109(x69921)+~P31(x69921,f333(f333(f152(x69921),x69923),x69924))+P31(x69921,f333(f333(f152(x69921),x69922),f333(f333(f152(x69921),x69923),x69924)))+~P24(f333(f333(f250(x69921),x69922),x69923))
% 163.24/162.98 [7033]~P123(x70331)+~P24(f333(f333(f251(x70331),f2(x70331)),x70333))+~P24(f333(f333(f251(x70331),x70332),x70334))+P24(f333(f333(f251(x70331),x70332),f333(f333(f81(x70331),x70333),x70334)))
% 163.24/162.98 [7034]~P89(x70341)+~P24(f333(f333(f250(x70341),f2(x70341)),x70343))+~P24(f333(f333(f251(x70341),x70342),x70344))+P24(f333(f333(f251(x70341),x70342),f333(f333(f81(x70341),x70343),x70344)))
% 163.24/162.98 [7035]~P89(x70351)+~P24(f333(f333(f250(x70351),x70352),x70354))+~P24(f333(f333(f251(x70351),f2(x70351)),x70353))+P24(f333(f333(f251(x70351),x70352),f333(f333(f81(x70351),x70353),x70354)))
% 163.24/162.98 [7036]~P89(x70361)+~P24(f333(f333(f250(x70361),f2(x70361)),x70364))+~P24(f333(f333(f250(x70361),x70362),x70363))+P24(f333(f333(f250(x70361),x70362),f333(f333(f81(x70361),x70363),x70364)))
% 163.24/162.98 [7037]~P89(x70371)+~P24(f333(f333(f250(x70371),f2(x70371)),x70373))+~P24(f333(f333(f250(x70371),x70372),x70374))+P24(f333(f333(f250(x70371),x70372),f333(f333(f81(x70371),x70373),x70374)))
% 163.24/162.98 [7075]~P109(x70751)+P24(f333(f333(f251(x70751),x70752),x70753))+P24(f333(f333(f251(x70751),x70752),x70754))+~P24(f333(f333(f251(x70751),x70752),f333(f333(f249(x70751),x70754),x70753)))
% 163.24/162.98 [7076]~P109(x70761)+P24(f333(f333(f250(x70761),x70762),x70763))+P24(f333(f333(f250(x70761),x70762),x70764))+~P24(f333(f333(f250(x70761),x70762),f333(f333(f249(x70761),x70764),x70763)))
% 163.24/162.98 [7354]~P110(x73542)+~P62(x73541)+~P24(f333(f333(f251(f890(x73541,x73542)),x73543),x73544))+P24(f333(f333(f250(f890(x73541,x73542)),x73543),x73544))
% 163.24/162.98 [7715]~P66(x77151)+~P24(f333(f333(f251(x77151),x77154),f2(x77151)))+~P24(f333(f333(f251(x77151),x77153),f333(f333(f291(x77151),x77152),x77154)))+P24(f333(f333(f251(x77151),x77152),f333(f333(f82(x77151),x77153),x77154)))
% 163.24/162.98 [7716]~P66(x77161)+~P24(f333(f333(f251(x77161),x77164),f2(x77161)))+~P24(f333(f333(f251(x77161),x77163),f333(f333(f82(x77161),x77162),x77164)))+P24(f333(f333(f251(x77161),x77162),f333(f333(f291(x77161),x77163),x77164)))
% 163.24/162.98 [7717]~P66(x77171)+~P24(f333(f333(f251(x77171),x77174),f2(x77171)))+~P24(f333(f333(f250(x77171),x77173),f333(f333(f291(x77171),x77172),x77174)))+P24(f333(f333(f250(x77171),x77172),f333(f333(f82(x77171),x77173),x77174)))
% 163.24/162.98 [7718]~P66(x77181)+~P24(f333(f333(f251(x77181),x77184),f2(x77181)))+~P24(f333(f333(f250(x77181),x77183),f333(f333(f82(x77181),x77182),x77184)))+P24(f333(f333(f250(x77181),x77182),f333(f333(f291(x77181),x77183),x77184)))
% 163.24/162.98 [7831]~P124(x78311)+~P24(f333(f333(f251(x78311),x78313),f2(x78311)))+~P24(f333(f333(f251(x78311),x78314),x78312))+P24(f333(f333(f251(x78311),f333(f333(f82(x78311),x78312),x78313)),f333(f333(f82(x78311),x78314),x78313)))
% 163.24/162.98 [7832]~P124(x78321)+~P24(f333(f333(f251(x78321),x78322),f2(x78321)))+~P24(f333(f333(f251(x78321),x78324),x78323))+P24(f333(f333(f251(x78321),f333(f333(f82(x78321),x78322),x78323)),f333(f333(f82(x78321),x78322),x78324)))
% 163.24/162.98 [7833]~P66(x78331)+~P24(f333(f333(f251(x78331),x78333),f2(x78331)))+~P24(f333(f333(f251(x78331),x78334),x78332))+P24(f333(f333(f251(x78331),f333(f333(f291(x78331),x78332),x78333)),f333(f333(f291(x78331),x78334),x78333)))
% 163.24/162.98 [7834]~P126(x78341)+~P24(f333(f333(f250(x78341),x78342),f2(x78341)))+~P24(f333(f333(f250(x78341),x78344),x78343))+P24(f333(f333(f250(x78341),f333(f333(f82(x78341),x78342),x78343)),f333(f333(f82(x78341),x78342),x78344)))
% 163.24/162.98 [7835]~P124(x78351)+~P24(f333(f333(f251(x78351),x78352),f2(x78351)))+~P24(f333(f333(f250(x78351),x78354),x78353))+P24(f333(f333(f250(x78351),f333(f333(f82(x78351),x78352),x78353)),f333(f333(f82(x78351),x78352),x78354)))
% 163.24/162.98 [7836]~P126(x78361)+~P24(f333(f333(f250(x78361),x78363),f2(x78361)))+~P24(f333(f333(f250(x78361),x78364),x78362))+P24(f333(f333(f250(x78361),f333(f333(f82(x78361),x78362),x78363)),f333(f333(f82(x78361),x78364),x78363)))
% 163.24/162.98 [7837]~P65(x78371)+~P24(f333(f333(f250(x78371),x78373),f2(x78371)))+~P24(f333(f333(f250(x78371),x78374),x78372))+P24(f333(f333(f250(x78371),f333(f333(f291(x78371),x78372),x78373)),f333(f333(f291(x78371),x78374),x78373)))
% 163.24/162.98 [7839]~P123(x78391)+~P24(f333(f333(f251(x78391),f79(x78391)),x78392))+~P24(f333(f333(f251(a880),x78393),x78394))+P24(f333(f333(f251(x78391),f333(f333(f264(x78391),x78392),x78393)),f333(f333(f264(x78391),x78392),x78394)))
% 163.24/162.98 [7840]~P123(x78401)+~P24(f333(f333(f251(x78401),f79(x78401)),x78402))+~P24(f333(f333(f250(a880),x78403),x78404))+P24(f333(f333(f250(x78401),f333(f333(f264(x78401),x78402),x78403)),f333(f333(f264(x78401),x78402),x78404)))
% 163.24/162.98 [7841]~P123(x78411)+~P24(f333(f333(f250(x78411),f79(x78411)),x78412))+~P24(f333(f333(f250(a880),x78413),x78414))+P24(f333(f333(f250(x78411),f333(f333(f264(x78411),x78412),x78413)),f333(f333(f264(x78411),x78412),x78414)))
% 163.24/162.98 [7863]P24(f333(f333(f251(a880),f2(a880)),f333(x78631,x78632)))+~P24(f333(f63(x78633),x78634))+~P24(f333(f333(f335(x78633),x78632),x78634))+~P24(f333(f333(f251(a880),f2(a880)),f333(f333(f11(x78633,a880),x78631),x78634)))
% 163.24/162.98 [7873]~P121(x78731)+~P24(f333(f333(f251(x78731),x78733),x78734))+~P24(f333(f333(f251(x78731),f2(x78731)),x78732))+P24(f333(f333(f251(x78731),f333(f333(f82(x78731),x78732),x78733)),f333(f333(f82(x78731),x78732),x78734)))
% 163.24/162.98 [7874]~P129(x78741)+~P24(f333(f333(f251(x78741),x78743),x78744))+~P24(f333(f333(f251(x78741),f2(x78741)),x78742))+P24(f333(f333(f251(x78741),f333(f333(f82(x78741),x78742),x78743)),f333(f333(f82(x78741),x78742),x78744)))
% 163.24/162.98 [7875]~P124(x78751)+~P24(f333(f333(f251(x78751),x78752),x78754))+~P24(f333(f333(f251(x78751),f2(x78751)),x78753))+P24(f333(f333(f251(x78751),f333(f333(f82(x78751),x78752),x78753)),f333(f333(f82(x78751),x78754),x78753)))
% 163.24/162.98 [7876]~P129(x78761)+~P24(f333(f333(f251(x78761),x78762),x78764))+~P24(f333(f333(f251(x78761),f2(x78761)),x78763))+P24(f333(f333(f251(x78761),f333(f333(f82(x78761),x78762),x78763)),f333(f333(f82(x78761),x78764),x78763)))
% 163.24/162.98 [7877]~P124(x78771)+~P24(f333(f333(f251(x78771),x78773),x78774))+~P24(f333(f333(f251(x78771),f2(x78771)),x78772))+P24(f333(f333(f251(x78771),f333(f333(f82(x78771),x78772),x78773)),f333(f333(f82(x78771),x78772),x78774)))
% 163.24/162.98 [7878]~P66(x78781)+~P24(f333(f333(f251(x78781),x78782),x78784))+~P24(f333(f333(f251(x78781),f2(x78781)),x78783))+P24(f333(f333(f251(x78781),f333(f333(f291(x78781),x78782),x78783)),f333(f333(f291(x78781),x78784),x78783)))
% 163.24/162.98 [7879]~P124(x78791)+~P24(f333(f333(f251(x78791),f2(x78791)),x78792))+~P24(f333(f333(f250(x78791),x78793),x78794))+P24(f333(f333(f250(x78791),f333(f333(f82(x78791),x78792),x78793)),f333(f333(f82(x78791),x78792),x78794)))
% 163.24/162.98 [7880]~P135(x78801)+~P24(f333(f333(f250(x78801),x78803),x78804))+~P24(f333(f333(f250(x78801),f2(x78801)),x78802))+P24(f333(f333(f250(x78801),f333(f333(f82(x78801),x78802),x78803)),f333(f333(f82(x78801),x78802),x78804)))
% 163.24/162.98 [7881]~P134(x78811)+~P24(f333(f333(f250(x78811),x78813),x78814))+~P24(f333(f333(f250(x78811),f2(x78811)),x78812))+P24(f333(f333(f250(x78811),f333(f333(f82(x78811),x78812),x78813)),f333(f333(f82(x78811),x78812),x78814)))
% 163.24/162.98 [7882]~P135(x78821)+~P24(f333(f333(f250(x78821),x78822),x78824))+~P24(f333(f333(f250(x78821),f2(x78821)),x78823))+P24(f333(f333(f250(x78821),f333(f333(f82(x78821),x78822),x78823)),f333(f333(f82(x78821),x78824),x78823)))
% 163.24/162.98 [7883]~P65(x78831)+~P24(f333(f333(f250(x78831),x78832),x78834))+~P24(f333(f333(f250(x78831),f2(x78831)),x78833))+P24(f333(f333(f250(x78831),f333(f333(f291(x78831),x78832),x78833)),f333(f333(f291(x78831),x78834),x78833)))
% 163.24/162.98 [7884]~P123(x78841)+~P24(f333(f333(f250(x78841),x78842),x78844))+~P24(f333(f333(f250(x78841),f2(x78841)),x78842))+P24(f333(f333(f250(x78841),f333(f333(f264(x78841),x78842),x78843)),f333(f333(f264(x78841),x78844),x78843)))
% 163.24/162.98 [7922]~P111(x79222)+P24(f333(f333(f250(f890(x79221,x79222)),x79224),x79223))+~P24(f333(f333(f250(f890(x79221,x79222)),x79223),x79224))+P24(f333(f333(f251(f890(x79221,x79222)),x79223),x79224))
% 163.24/162.98 [7963]P24(f333(f333(f335(x79631),x79632),x79633))+P24(f333(f333(f335(x79631),x79632),x79634))+~P24(f333(f333(f250(f890(x79631,a874)),x79634),x79633))+P24(f333(f333(f251(f890(x79631,a874)),x79634),f333(f333(f311(x79631),x79632),x79633)))
% 163.24/162.98 [8131]P24(f333(f333(f335(x81311),x81312),x81313))+P24(f333(f333(f335(x81311),x81312),x81314))+~P24(f333(f333(f251(f890(x81311,a874)),x81314),f333(f333(f311(x81311),x81312),x81313)))+P24(f333(f333(f250(f890(x81311,a874)),x81314),x81313))
% 163.24/162.98 [8140]~P62(x81401)+P7(x81401,x81402,x81403)+~P24(f333(x81402,x81404))+~P24(f333(f333(f335(f881(x81401)),x81404),f333(f173(f881(x81401)),f56(x81401,x81403,f57(x81401)))))
% 163.24/162.98 [8150]~P8(x81503,x81501,x81504)+~P62(x81503)+P24(f333(x81501,x81502))+~P24(f333(f333(f335(f881(x81503)),x81502),f333(f173(f881(x81503)),f56(x81503,x81504,f57(x81503)))))
% 163.24/162.98 [8204]~P124(x82041)+P24(f333(f333(f251(x82041),x82043),x82042))+P24(f333(f333(f251(x82041),x82042),x82043))+~P24(f333(f333(f251(x82041),f333(f333(f82(x82041),x82044),x82042)),f333(f333(f82(x82041),x82044),x82043)))
% 163.24/162.98 [8205]~P124(x82051)+P24(f333(f333(f251(x82051),x82053),x82052))+P24(f333(f333(f251(x82051),x82052),x82053))+~P24(f333(f333(f251(x82051),f333(f333(f82(x82051),x82052),x82054)),f333(f333(f82(x82051),x82053),x82054)))
% 163.24/162.98 [8214]~P124(x82141)+P24(f333(f333(f251(x82141),x82144),f2(x82141)))+P24(f333(f333(f251(x82141),x82142),x82143))+~P24(f333(f333(f251(x82141),f333(f333(f82(x82141),x82142),x82144)),f333(f333(f82(x82141),x82143),x82144)))
% 163.24/162.98 [8215]~P124(x82151)+P24(f333(f333(f251(x82151),x82154),f2(x82151)))+P24(f333(f333(f251(x82151),x82152),x82153))+~P24(f333(f333(f251(x82151),f333(f333(f82(x82151),x82154),x82152)),f333(f333(f82(x82151),x82154),x82153)))
% 163.24/162.98 [8219]~P124(x82191)+P24(f333(f333(f251(x82191),x82192),x82193))+P24(f333(f333(f251(x82191),f2(x82191)),x82194))+~P24(f333(f333(f251(x82191),f333(f333(f82(x82191),x82194),x82193)),f333(f333(f82(x82191),x82194),x82192)))
% 163.24/162.98 [8220]~P124(x82201)+P24(f333(f333(f251(x82201),x82202),x82203))+P24(f333(f333(f251(x82201),f2(x82201)),x82204))+~P24(f333(f333(f251(x82201),f333(f333(f82(x82201),x82203),x82204)),f333(f333(f82(x82201),x82202),x82204)))
% 163.24/162.98 [8232]~P124(x82321)+P24(f333(f333(f251(x82321),x82322),f2(x82321)))+P24(f333(f333(f251(x82321),f2(x82321)),x82322))+~P24(f333(f333(f251(x82321),f333(f333(f82(x82321),x82323),x82322)),f333(f333(f82(x82321),x82324),x82322)))
% 163.24/162.98 [8233]~P124(x82331)+P24(f333(f333(f251(x82331),x82332),f2(x82331)))+P24(f333(f333(f251(x82331),f2(x82331)),x82332))+~P24(f333(f333(f251(x82331),f333(f333(f82(x82331),x82332),x82333)),f333(f333(f82(x82331),x82332),x82334)))
% 163.24/162.98 [8259]~P124(x82591)+~P24(f333(f333(f251(x82591),x82594),f2(x82591)))+P24(f333(f333(f251(x82591),x82592),x82593))+~P24(f333(f333(f251(x82591),f333(f333(f82(x82591),x82594),x82593)),f333(f333(f82(x82591),x82594),x82592)))
% 163.24/162.98 [8260]~P124(x82601)+~P24(f333(f333(f251(x82601),x82604),f2(x82601)))+P24(f333(f333(f250(x82601),x82602),x82603))+~P24(f333(f333(f250(x82601),f333(f333(f82(x82601),x82604),x82603)),f333(f333(f82(x82601),x82604),x82602)))
% 163.24/162.98 [8272]~P123(x82723)+~P24(f333(f333(f251(x82723),f79(x82723)),x82724))+P24(f333(f333(f251(a880),x82721),x82722))+~P24(f333(f333(f251(x82723),f333(f333(f264(x82723),x82724),x82721)),f333(f333(f264(x82723),x82724),x82722)))
% 163.24/162.98 [8274]~P123(x82743)+~P24(f333(f333(f251(x82743),f79(x82743)),x82744))+P24(f333(f333(f250(a880),x82741),x82742))+~P24(f333(f333(f250(x82743),f333(f333(f264(x82743),x82744),x82741)),f333(f333(f264(x82743),x82744),x82742)))
% 163.24/162.98 [8284]~P124(x82841)+P24(f333(f333(f251(x82841),x82842),x82843))+~P24(f333(f333(f251(x82841),f2(x82841)),x82844))+~P24(f333(f333(f251(x82841),f333(f333(f82(x82841),x82844),x82842)),f333(f333(f82(x82841),x82844),x82843)))
% 163.24/162.98 [8285]~P129(x82851)+P24(f333(f333(f251(x82851),x82852),x82853))+~P24(f333(f333(f250(x82851),f2(x82851)),x82854))+~P24(f333(f333(f251(x82851),f333(f333(f82(x82851),x82854),x82852)),f333(f333(f82(x82851),x82854),x82853)))
% 163.24/162.98 [8286]~P130(x82861)+P24(f333(f333(f251(x82861),x82862),x82863))+~P24(f333(f333(f250(x82861),f2(x82861)),x82864))+~P24(f333(f333(f251(x82861),f333(f333(f82(x82861),x82864),x82862)),f333(f333(f82(x82861),x82864),x82863)))
% 163.24/162.98 [8287]~P123(x82871)+~P24(f333(f333(f250(x82871),f2(x82871)),x82873))+P24(f333(f333(f251(x82871),x82872),x82873))+~P24(f333(f333(f251(x82871),f333(f333(f264(x82871),x82872),x82874)),f333(f333(f264(x82871),x82873),x82874)))
% 163.24/162.98 [8288]~P129(x82881)+P24(f333(f333(f251(x82881),x82882),x82883))+~P24(f333(f333(f250(x82881),f2(x82881)),x82884))+~P24(f333(f333(f251(x82881),f333(f333(f82(x82881),x82882),x82884)),f333(f333(f82(x82881),x82883),x82884)))
% 163.24/162.98 [8289]~P130(x82891)+P24(f333(f333(f251(x82891),x82892),x82893))+~P24(f333(f333(f250(x82891),f2(x82891)),x82894))+~P24(f333(f333(f251(x82891),f333(f333(f82(x82891),x82892),x82894)),f333(f333(f82(x82891),x82893),x82894)))
% 163.24/162.98 [8290]~P124(x82901)+P24(f333(f333(f250(x82901),x82902),x82903))+~P24(f333(f333(f251(x82901),f2(x82901)),x82904))+~P24(f333(f333(f250(x82901),f333(f333(f82(x82901),x82904),x82902)),f333(f333(f82(x82901),x82904),x82903)))
% 163.24/162.98 [8291]~P129(x82911)+P24(f333(f333(f250(x82911),x82912),x82913))+~P24(f333(f333(f251(x82911),f2(x82911)),x82914))+~P24(f333(f333(f250(x82911),f333(f333(f82(x82911),x82914),x82912)),f333(f333(f82(x82911),x82914),x82913)))
% 163.24/162.98 [8292]~P129(x82921)+P24(f333(f333(f250(x82921),x82922),x82923))+~P24(f333(f333(f251(x82921),f2(x82921)),x82924))+~P24(f333(f333(f250(x82921),f333(f333(f82(x82921),x82922),x82924)),f333(f333(f82(x82921),x82923),x82924)))
% 163.24/162.98 [8332]P24(f333(f333(f335(x83321),x83322),x83323))+~P24(f333(f333(f250(f890(x83321,a874)),x83323),x83324))+~P24(f333(f333(f251(f890(x83321,a874)),x83323),x83324))+P24(f333(f333(f251(f890(x83321,a874)),x83323),f333(f333(f311(x83321),x83322),x83324)))
% 163.24/162.98 [8591]~P62(x85911)+~P96(x85912)+~E(f333(x85913,f817(x85914,x85913,x85911,x85912)),f333(x85914,f817(x85914,x85913,x85911,x85912)))+P24(f333(f333(f92(f890(x85911,x85912)),x85913),x85914))
% 163.24/162.98 [8696]E(f333(f333(f3(a1),f441(x86961,x86962,x86963,x86964)),f442(x86961,x86962,x86963,x86964)),x86964)+~P24(f333(f333(f251(a1),f2(a1)),x86963))+~P24(f333(f333(f250(a1),x86961),x86964))+P24(f333(f333(f250(a1),x86961),f333(f333(f81(a1),x86964),x86963)))
% 163.24/162.98 [8697]E(f333(f333(f3(a1),f448(x86971,x86972,x86973,x86974)),f449(x86971,x86972,x86973,x86974)),x86974)+~P24(f333(f333(f251(a1),f2(a1)),x86973))+~P24(f333(f333(f251(a1),x86971),x86974))+P24(f333(f333(f251(a1),x86971),f333(f333(f81(a1),x86974),x86973)))
% 163.24/162.98 [8837]~E(f333(f333(f166(x88371),x88373),f643(x88374,x88373,x88371,x88372)),f333(f333(f166(x88371),x88374),f643(x88374,x88373,x88371,x88372)))+E(f333(f333(f174(x88371),x88372),x88373),f333(f333(f174(x88371),x88372),x88374))+~P24(f333(f333(f250(a880),x88372),f333(f195(f881(x88371)),x88373)))+~P24(f333(f333(f250(a880),x88372),f333(f195(f881(x88371)),x88374)))
% 163.24/162.98 [8909]~P24(f333(f333(f251(a1),f2(a1)),x89093))+~P24(f333(f333(f250(a1),x89091),x89094))+P24(f333(f333(f335(a1),f441(x89091,x89092,x89093,x89094)),x89092))+P24(f333(f333(f250(a1),x89091),f333(f333(f81(a1),x89094),x89093)))
% 163.24/162.98 [8910]~P24(f333(f333(f251(a1),f2(a1)),x89103))+~P24(f333(f333(f251(a1),x89101),x89104))+P24(f333(f333(f335(a1),f448(x89101,x89102,x89103,x89104)),x89102))+P24(f333(f333(f251(a1),x89101),f333(f333(f81(a1),x89104),x89103)))
% 163.24/162.98 [8952]~P102(x89521)+~P24(f333(f63(x89521),x89523))+~P24(f333(f333(f335(x89521),x89524),x89523))+P24(f333(f333(f250(x89521),f333(f333(f66(x89521,x89521,f106(x89521)),x89522),x89523)),f333(f333(f106(x89521),x89524),x89522)))
% 163.24/162.98 [8953]~P109(x89531)+~P24(f333(f63(x89531),x89533))+~P24(f333(f333(f335(x89531),x89534),x89533))+P24(f333(f333(f250(x89531),f333(f333(f66(x89531,x89531,f248(x89531)),x89532),x89533)),f333(f333(f248(x89531),x89534),x89532)))
% 163.24/162.98 [8998]E(f333(f333(f174(x89981),x89982),x89983),f333(f333(f174(x89981),x89982),x89984))+P24(f333(f333(f251(a880),f643(x89983,x89984,x89981,x89982)),x89982))+~P24(f333(f333(f250(a880),x89982),f333(f195(f881(x89981)),x89983)))+~P24(f333(f333(f250(a880),x89982),f333(f195(f881(x89981)),x89984)))
% 163.24/162.98 [9003]~P24(f333(f333(f251(a1),f2(a1)),x90033))+~P24(f333(f333(f251(a1),x90031),x90032))+P24(f333(f333(f335(a1),f449(x90031,x90034,x90033,x90032)),f304(a1,f79(a1),x90033)))+P24(f333(f333(f251(a1),x90031),f333(f333(f81(a1),x90032),x90033)))
% 163.24/162.98 [9004]~P24(f333(f333(f251(a1),f2(a1)),x90043))+~P24(f333(f333(f250(a1),x90041),x90042))+P24(f333(f333(f335(a1),f442(x90041,x90044,x90043,x90042)),f304(a1,f79(a1),x90043)))+P24(f333(f333(f250(a1),x90041),f333(f333(f81(a1),x90042),x90043)))
% 163.24/162.98 [9164]~E(f333(f178(x91641,x91642),x91643),f333(f178(x91641,x91642),x91644))+E(f333(f173(f889(x91641,x91642)),x91643),f333(f173(f889(x91641,x91642)),x91644))+~P24(f333(f138(x91641),f333(f333(f155(f889(x91641,x91642),x91641),f262(x91641,x91642)),x91644)))+~P24(f333(f138(x91641),f333(f333(f155(f889(x91641,x91642),x91641),f262(x91641,x91642)),x91643)))
% 163.24/162.98 [9176]E(f333(f178(x91761,x91762),x91763),f333(f178(x91761,x91762),x91764))+~E(f333(f173(f889(x91761,x91762)),x91763),f333(f173(f889(x91761,x91762)),x91764))+~P24(f333(f138(x91761),f333(f333(f155(f889(x91761,x91762),x91761),f262(x91761,x91762)),x91764)))+~P24(f333(f138(x91761),f333(f333(f155(f889(x91761,x91762),x91761),f262(x91761,x91762)),x91763)))
% 163.24/162.98 [9320]~P101(x93201)+~P24(f333(f63(x93201),x93204))+P24(f333(f333(f335(x93201),f383(x93202,x93203,x93204,x93201)),x93204))+P24(f333(f333(f250(x93201),f333(f333(f66(x93201,x93201,f115(x93201)),x93202),x93204)),f333(f333(f115(x93201),x93203),x93202)))
% 163.24/162.98 [9321]~P109(x93211)+~P24(f333(f63(x93211),x93214))+P24(f333(f333(f335(x93211),f491(x93212,x93213,x93214,x93211)),x93214))+P24(f333(f333(f250(x93211),f333(f333(f66(x93211,x93211,f249(x93211)),x93212),x93214)),f333(f333(f249(x93211),x93213),x93212)))
% 163.24/162.98 [9440]~P101(x94401)+~P24(f333(f63(x94401),x94403))+~P24(f333(f333(f250(x94401),f383(x94402,x94404,x94403,x94401)),x94404))+P24(f333(f333(f250(x94401),f333(f333(f66(x94401,x94401,f115(x94401)),x94402),x94403)),f333(f333(f115(x94401),x94404),x94402)))
% 163.24/162.98 [9441]~P109(x94411)+~P24(f333(f63(x94411),x94413))+~P24(f333(f333(f250(x94411),f491(x94412,x94414,x94413,x94411)),x94414))+P24(f333(f333(f250(x94411),f333(f333(f66(x94411,x94411,f249(x94411)),x94412),x94413)),f333(f333(f249(x94411),x94414),x94412)))
% 163.24/162.98 [9444]~P24(f333(f333(f251(a1),f2(a1)),x94443))+~P24(f333(f333(f250(a1),f2(a1)),x94444))+~P24(f333(f333(f251(a1),x94444),x94441))+P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f82(a1),x94441),f46(a1,x94442,x94443))),x94444)),f333(f333(f82(a1),x94441),x94443)))
% 163.24/162.98 [9870]E(x98701,x98702)+P24(f333(f333(f335(f889(f881(x98703),f881(x98703))),f333(f333(f263(f881(x98703),f881(x98703)),x98702),x98701)),f148(x98703,x98704)))+P24(f333(f333(f335(f889(f881(x98703),f881(x98703))),f333(f333(f263(f881(x98703),f881(x98703)),x98701),x98702)),f148(x98703,x98704)))+~P24(f333(f333(f335(f889(x98703,x98703)),f333(f333(f263(x98703,x98703),f637(x98701,x98702,x98704,x98703)),f641(x98701,x98702,x98704,x98703))),x98704))
% 163.24/162.98 [9871]E(x98711,x98712)+P24(f333(f333(f335(f889(f881(x98713),f881(x98713))),f333(f333(f263(f881(x98713),f881(x98713)),x98712),x98711)),f148(x98713,x98714)))+P24(f333(f333(f335(f889(f881(x98713),f881(x98713))),f333(f333(f263(f881(x98713),f881(x98713)),x98711),x98712)),f148(x98713,x98714)))+~P24(f333(f333(f335(f889(x98713,x98713)),f333(f333(f263(x98713,x98713),f641(x98711,x98712,x98714,x98713)),f637(x98711,x98712,x98714,x98713))),x98714))
% 163.24/162.98 [7420]~P109(x74201)+~P24(f333(f333(f251(x74201),x74203),x74204))+~P24(f333(f333(f251(x74201),x74202),x74204))+P24(f333(f333(f251(x74201),f333(f333(f249(x74201),x74202),x74203)),x74204))
% 163.24/162.98 [7423]~P101(x74231)+~P24(f333(f333(f250(x74231),x74233),x74234))+~P24(f333(f333(f250(x74231),x74232),x74234))+P24(f333(f333(f250(x74231),f333(f333(f115(x74231),x74232),x74233)),x74234))
% 163.24/162.98 [7426]~P109(x74261)+~P24(f333(f333(f250(x74261),x74263),x74264))+~P24(f333(f333(f250(x74261),x74262),x74264))+P24(f333(f333(f250(x74261),f333(f333(f249(x74261),x74262),x74263)),x74264))
% 163.24/162.98 [7738]~E(x77381,x77383)+E(f140(a880,f333(f303(a880,x77381),x77382)),f333(f333(f152(a880),x77383),x77384))+~E(f140(a880,f333(f303(a880,f333(f333(f81(a880),x77381),f79(a880))),x77382)),x77384)+~P24(f333(f333(f251(a880),x77381),x77382))
% 163.24/162.98 [7750]~P109(x77501)+P24(f333(f333(f251(x77501),x77502),x77503))+P24(f333(f333(f251(x77501),x77504),x77503))+~P24(f333(f333(f251(x77501),f333(f333(f248(x77501),x77504),x77502)),x77503))
% 163.24/162.98 [7751]~P109(x77511)+P24(f333(f333(f250(x77511),x77512),x77513))+P24(f333(f333(f250(x77511),x77514),x77513))+~P24(f333(f333(f250(x77511),f333(f333(f248(x77511),x77514),x77512)),x77513))
% 163.24/162.98 [8024]~P65(x80241)+~P24(f333(f333(f251(x80241),f2(x80241)),x80243))+~P24(f333(f333(f251(x80241),x80242),f333(f333(f291(x80241),x80244),x80243)))+P24(f333(f333(f251(x80241),f333(f333(f82(x80241),x80242),x80243)),x80244))
% 163.24/162.98 [8025]~P66(x80251)+~P24(f333(f333(f251(x80251),f2(x80251)),x80253))+~P24(f333(f333(f251(x80251),x80252),f333(f333(f291(x80251),x80254),x80253)))+P24(f333(f333(f251(x80251),f333(f333(f82(x80251),x80252),x80253)),x80254))
% 163.24/162.98 [8027]~P65(x80271)+~P24(f333(f333(f251(x80271),f2(x80271)),x80273))+~P24(f333(f333(f251(x80271),x80272),f333(f333(f82(x80271),x80274),x80273)))+P24(f333(f333(f251(x80271),f333(f333(f291(x80271),x80272),x80273)),x80274))
% 163.24/162.98 [8028]~P66(x80281)+~P24(f333(f333(f251(x80281),f2(x80281)),x80283))+~P24(f333(f333(f251(x80281),x80282),f333(f333(f82(x80281),x80284),x80283)))+P24(f333(f333(f251(x80281),f333(f333(f291(x80281),x80282),x80283)),x80284))
% 163.24/162.98 [8029]~P65(x80291)+~P24(f333(f333(f251(x80291),f2(x80291)),x80293))+~P24(f333(f333(f250(x80291),x80292),f333(f333(f291(x80291),x80294),x80293)))+P24(f333(f333(f250(x80291),f333(f333(f82(x80291),x80292),x80293)),x80294))
% 163.24/162.98 [8030]~P66(x80301)+~P24(f333(f333(f251(x80301),f2(x80301)),x80303))+~P24(f333(f333(f250(x80301),x80302),f333(f333(f291(x80301),x80304),x80303)))+P24(f333(f333(f250(x80301),f333(f333(f82(x80301),x80302),x80303)),x80304))
% 163.24/162.98 [8032]~P65(x80321)+~P24(f333(f333(f251(x80321),f2(x80321)),x80323))+~P24(f333(f333(f250(x80321),x80322),f333(f333(f82(x80321),x80324),x80323)))+P24(f333(f333(f250(x80321),f333(f333(f291(x80321),x80322),x80323)),x80324))
% 163.24/162.98 [8033]~P66(x80331)+~P24(f333(f333(f251(x80331),f2(x80331)),x80333))+~P24(f333(f333(f250(x80331),x80332),f333(f333(f82(x80331),x80334),x80333)))+P24(f333(f333(f250(x80331),f333(f333(f291(x80331),x80332),x80333)),x80334))
% 163.24/162.98 [8172]~P65(x81721)+~P24(f333(f333(f251(x81721),f2(x81721)),x81724))+P24(f333(f333(f251(x81721),x81722),f333(f333(f82(x81721),x81723),x81724)))+~P24(f333(f333(f251(x81721),f333(f333(f291(x81721),x81722),x81724)),x81723))
% 163.24/162.98 [8174]~P65(x81741)+~P24(f333(f333(f251(x81741),f2(x81741)),x81744))+P24(f333(f333(f251(x81741),x81742),f333(f333(f291(x81741),x81743),x81744)))+~P24(f333(f333(f251(x81741),f333(f333(f82(x81741),x81742),x81744)),x81743))
% 163.24/162.98 [8175]~P66(x81751)+~P24(f333(f333(f251(x81751),f2(x81751)),x81754))+P24(f333(f333(f251(x81751),x81752),f333(f333(f82(x81751),x81753),x81754)))+~P24(f333(f333(f251(x81751),f333(f333(f291(x81751),x81752),x81754)),x81753))
% 163.24/162.98 [8176]~P66(x81761)+~P24(f333(f333(f251(x81761),f2(x81761)),x81764))+P24(f333(f333(f251(x81761),x81762),f333(f333(f291(x81761),x81763),x81764)))+~P24(f333(f333(f251(x81761),f333(f333(f82(x81761),x81762),x81764)),x81763))
% 163.24/162.98 [8177]~P65(x81771)+~P24(f333(f333(f251(x81771),f2(x81771)),x81774))+P24(f333(f333(f250(x81771),x81772),f333(f333(f82(x81771),x81773),x81774)))+~P24(f333(f333(f250(x81771),f333(f333(f291(x81771),x81772),x81774)),x81773))
% 163.24/162.98 [8179]~P65(x81791)+~P24(f333(f333(f251(x81791),f2(x81791)),x81794))+P24(f333(f333(f250(x81791),x81792),f333(f333(f291(x81791),x81793),x81794)))+~P24(f333(f333(f250(x81791),f333(f333(f82(x81791),x81792),x81794)),x81793))
% 163.24/162.98 [8180]~P66(x81801)+~P24(f333(f333(f251(x81801),f2(x81801)),x81804))+P24(f333(f333(f250(x81801),x81802),f333(f333(f82(x81801),x81803),x81804)))+~P24(f333(f333(f250(x81801),f333(f333(f291(x81801),x81802),x81804)),x81803))
% 163.24/162.98 [8181]~P66(x81811)+~P24(f333(f333(f251(x81811),f2(x81811)),x81814))+P24(f333(f333(f250(x81811),x81812),f333(f333(f291(x81811),x81813),x81814)))+~P24(f333(f333(f250(x81811),f333(f333(f82(x81811),x81812),x81814)),x81813))
% 163.24/162.98 [8336]~P66(x83361)+~P24(f333(f333(f251(x83361),x83363),f2(x83361)))+~P24(f333(f333(f251(x83361),f333(f333(f291(x83361),x83364),x83363)),x83362))+P24(f333(f333(f251(x83361),f333(f333(f82(x83361),x83362),x83363)),x83364))
% 163.24/162.98 [8337]~P66(x83371)+~P24(f333(f333(f251(x83371),x83373),f2(x83371)))+~P24(f333(f333(f251(x83371),f333(f333(f82(x83371),x83374),x83373)),x83372))+P24(f333(f333(f251(x83371),f333(f333(f291(x83371),x83372),x83373)),x83374))
% 163.24/162.98 [8338]~P66(x83381)+~P24(f333(f333(f251(x83381),x83383),f2(x83381)))+~P24(f333(f333(f250(x83381),f333(f333(f291(x83381),x83384),x83383)),x83382))+P24(f333(f333(f250(x83381),f333(f333(f82(x83381),x83382),x83383)),x83384))
% 163.24/162.98 [8339]~P66(x83391)+~P24(f333(f333(f251(x83391),x83393),f2(x83391)))+~P24(f333(f333(f250(x83391),f333(f333(f82(x83391),x83394),x83393)),x83392))+P24(f333(f333(f250(x83391),f333(f333(f291(x83391),x83392),x83393)),x83394))
% 163.24/162.98 [8349]~P24(f333(x83491,x83494))+~P24(f333(f333(f251(a880),x83492),f333(f333(f82(a880),x83493),f333(a117,x83494))))+P24(f333(x83491,f333(f333(f40(a880),x83492),x83493)))+~P24(f333(f333(f250(a880),f333(f333(f82(a880),x83493),x83494)),x83492))
% 163.24/162.98 [8565]~P101(x85651)+~P24(f333(f63(x85651),x85654))+~P24(f333(f333(f335(x85651),x85652),x85654))+P24(f333(f333(f250(x85651),f333(f333(f115(x85651),x85652),x85653)),f333(f333(f66(x85651,x85651,f115(x85651)),x85653),x85654)))
% 163.24/162.98 [8566]~P109(x85661)+~P24(f333(f63(x85661),x85664))+~P24(f333(f333(f335(x85661),x85662),x85664))+P24(f333(f333(f250(x85661),f333(f333(f249(x85661),x85662),x85663)),f333(f333(f66(x85661,x85661,f249(x85661)),x85663),x85664)))
% 163.24/162.98 [8698]~P24(f333(f63(x86981),x86982))+E(f333(f39(x86981),f333(f333(f3(f890(x86981,a874)),x86982),f333(f333(f311(x86981),x86983),x86984))),f333(f333(f3(a880),f333(f39(x86981),f333(f333(f3(f890(x86981,a874)),x86982),x86984))),f79(a880)))+P24(f333(f333(f335(x86981),x86983),x86984))+~P24(f333(f333(f335(x86981),x86983),x86982))
% 163.24/162.98 [8768]E(f333(f333(f81(a1),f443(x87681,x87682,x87683,x87684)),f444(x87681,x87682,x87683,x87684)),x87684)+~P24(f333(f333(f251(a1),f2(a1)),x87683))+~P24(f333(f333(f250(a1),x87684),x87681))+P24(f333(f333(f250(a1),f333(f333(f3(a1),x87684),x87683)),x87681))
% 163.24/162.98 [8769]E(f333(f333(f81(a1),f456(x87691,x87692,x87693,x87694)),f457(x87691,x87692,x87693,x87694)),x87694)+~P24(f333(f333(f251(a1),f2(a1)),x87693))+~P24(f333(f333(f251(a1),x87694),x87691))+P24(f333(f333(f251(a1),f333(f333(f3(a1),x87694),x87693)),x87691))
% 163.24/162.98 [8983]~P24(f333(f333(f251(a1),f2(a1)),x89833))+~P24(f333(f333(f250(a1),x89834),x89831))+P24(f333(f333(f335(a1),f443(x89831,x89832,x89833,x89834)),x89832))+P24(f333(f333(f250(a1),f333(f333(f3(a1),x89834),x89833)),x89831))
% 163.24/162.98 [8984]~P24(f333(f333(f251(a1),f2(a1)),x89843))+~P24(f333(f333(f251(a1),x89844),x89841))+P24(f333(f333(f335(a1),f456(x89841,x89842,x89843,x89844)),x89842))+P24(f333(f333(f251(a1),f333(f333(f3(a1),x89844),x89843)),x89841))
% 163.24/162.98 [9056]~P24(f333(f333(f251(a1),f2(a1)),x90562))+~P24(f333(f333(f251(a1),x90561),x90563))+P24(f333(f333(f335(a1),f457(x90563,x90564,x90562,x90561)),f304(a1,f79(a1),x90562)))+P24(f333(f333(f251(a1),f333(f333(f3(a1),x90561),x90562)),x90563))
% 163.24/162.98 [9057]~P24(f333(f333(f251(a1),f2(a1)),x90572))+~P24(f333(f333(f250(a1),x90571),x90573))+P24(f333(f333(f335(a1),f444(x90573,x90574,x90572,x90571)),f304(a1,f79(a1),x90572)))+P24(f333(f333(f250(a1),f333(f333(f3(a1),x90571),x90572)),x90573))
% 163.24/162.98 [9072]~P24(f333(f333(f251(a1),f2(a1)),x90723))+~P24(f333(f333(f250(a1),f2(a1)),x90724))+~P24(f333(f333(f251(a1),x90724),x90721))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),f333(f333(f82(a1),x90721),f46(a1,x90722,x90723))),x90724)))
% 163.24/162.98 [9147]~P102(x91471)+~P24(f333(f63(x91471),x91474))+~P24(f333(f333(f250(x91471),x91472),f381(x91473,x91472,x91474,x91471)))+P24(f333(f333(f250(x91471),f333(f333(f106(x91471),x91472),x91473)),f333(f333(f66(x91471,x91471,f106(x91471)),x91473),x91474)))
% 163.24/162.98 [9148]~P109(x91481)+~P24(f333(f63(x91481),x91484))+~P24(f333(f333(f250(x91481),x91482),f478(x91483,x91482,x91484,x91481)))+P24(f333(f333(f250(x91481),f333(f333(f248(x91481),x91482),x91483)),f333(f333(f66(x91481,x91481,f248(x91481)),x91483),x91484)))
% 163.24/162.98 [9163]~P24(f333(f333(f250(a1),x91634),f2(a1)))+~P24(f333(f333(f251(a1),f2(a1)),x91632))+~P24(f333(f333(f251(a1),x91631),x91634))+P24(f333(f333(f251(a1),f333(f333(f82(a1),x91631),x91632)),f333(f333(f81(a1),f333(f333(f82(a1),x91631),f46(a1,x91633,x91632))),x91634)))
% 163.24/162.98 [9185]P24(f333(f63(x91851),x91852))+~P24(f333(f63(x91851),x91853))+~P24(f333(f333(f335(f890(x91851,a874)),x91852),f333(f333(f62(x91851),x91853),x91854)))+~P24(f333(f333(f250(f890(f889(x91851,x91851),a874)),x91854),f333(f333(f270(x91851,x91851),x91853),f333(f18(f890(x91851,a874),x91851),x91853))))
% 163.24/162.98 [9211]~P102(x92111)+~P24(f333(f63(x92111),x92114))+P24(f333(f333(f335(x92111),f381(x92112,x92113,x92114,x92111)),x92114))+P24(f333(f333(f250(x92111),f333(f333(f106(x92111),x92113),x92112)),f333(f333(f66(x92111,x92111,f106(x92111)),x92112),x92114)))
% 163.24/162.98 [9212]~P109(x92121)+~P24(f333(f63(x92121),x92124))+P24(f333(f333(f335(x92121),f478(x92122,x92123,x92124,x92121)),x92124))+P24(f333(f333(f250(x92121),f333(f333(f248(x92121),x92123),x92122)),f333(f333(f66(x92121,x92121,f248(x92121)),x92122),x92124)))
% 163.24/162.98 [9631]~P24(f333(f63(x96312),x96314))+~P24(f333(f63(x96311),x96313))+~P24(f333(f333(f250(a880),f333(f39(x96312),x96314)),f333(f39(x96311),x96313)))+P24(f333(f333(f250(f890(x96311,a874)),f333(f312(x96312,x96311,f365(x96313,x96311,x96314,x96312)),x96314)),x96313))
% 163.24/162.98 [9258]~P24(f333(f333(f335(x92581),x92582),x92584))+P24(f333(f333(f335(x92581),x92582),x92583))+~P24(f333(f333(f251(f890(x92581,a874)),x92584),f333(f333(f311(x92581),x92582),x92583)))+P24(f333(f333(f251(f890(x92581,a874)),f333(f333(f3(f890(x92581,a874)),x92584),f333(f333(f311(x92581),x92582),f194(f890(x92581,a874))))),x92583))
% 163.24/162.98 [9420]~P24(f333(f333(f335(x94201),x94202),x94204))+P24(f333(f333(f335(x94201),x94202),x94203))+P24(f333(f333(f251(f890(x94201,a874)),x94204),f333(f333(f311(x94201),x94202),x94203)))+~P24(f333(f333(f251(f890(x94201,a874)),f333(f333(f3(f890(x94201,a874)),x94204),f333(f333(f311(x94201),x94202),f194(f890(x94201,a874))))),x94203))
% 163.24/162.98 [9447]P24(f333(f333(f335(x94471),x94472),x94473))+~P24(f333(f333(f250(f890(x94471,a874)),x94474),x94473))+P24(f333(f333(f251(f890(x94471,a874)),x94474),f333(f333(f311(x94471),x94472),x94473)))+~P24(f333(f333(f251(f890(x94471,a874)),f333(f333(f3(f890(x94471,a874)),x94474),f333(f333(f311(x94471),x94472),f194(f890(x94471,a874))))),x94473))
% 163.24/162.98 [9452]~P24(f333(f333(f335(x94521),x94523),x94522))+~P24(f333(f333(f251(f890(x94521,a874)),x94522),x94524))+P24(f333(f333(f251(f890(x94521,a874)),x94522),f333(f333(f311(x94521),x94523),x94524)))+~P24(f333(f333(f251(f890(x94521,a874)),f333(f333(f3(f890(x94521,a874)),x94522),f333(f333(f311(x94521),x94523),f194(f890(x94521,a874))))),x94524))
% 163.24/162.98 [9465]~P24(f333(f333(f250(f890(x94651,a874)),x94652),x94654))+~P24(f333(f333(f251(f890(x94651,a874)),x94652),x94654))+P24(f333(f333(f251(f890(x94651,a874)),x94652),f333(f333(f311(x94651),x94653),x94654)))+~P24(f333(f333(f251(f890(x94651,a874)),f333(f333(f3(f890(x94651,a874)),x94652),f333(f333(f311(x94651),x94653),f194(f890(x94651,a874))))),x94654))
% 163.24/162.98 [9524]~P110(x95242)+~P62(x95241)+~P24(f333(f333(f250(f890(x95241,x95242)),x95243),x95244))+P24(f333(f60(x95241),f333(f333(f20(x95241,x95242,a874),f333(f333(f10(x95242,f890(x95242,a874),x95241),f250(x95242)),x95243)),x95244)))
% 163.24/162.98 [9678]~P110(x96782)+~P62(x96781)+P24(f333(f333(f250(f890(x96781,x96782)),x96783),x96784))+~P24(f333(f60(x96781),f333(f333(f20(x96781,x96782,a874),f333(f333(f10(x96782,f890(x96782,a874),x96781),f250(x96782)),x96783)),x96784)))
% 163.24/162.98 [9855]E(f333(f333(f166(x98551),f333(f333(f166(f881(x98551)),f180(x98551,x98552)),x98553)),x98554),f333(f333(f166(x98551),f333(f333(f166(f881(x98551)),x98552),x98554)),x98553))+~P24(f333(f333(f251(a880),x98553),f333(f195(f881(f881(x98551))),f180(x98551,x98552))))+~P31(a880,f333(f170(a880),f333(f333(f155(f881(x98551),a880),f195(f881(x98551))),x98552)))+~P24(f333(f333(f251(a880),x98554),f333(f195(f881(f881(x98551))),f333(f137(f881(x98551),f333(f333(f10(a880,a874,f881(x98551)),f333(f251(a880),x98553)),f195(f881(x98551)))),x98552))))
% 163.24/162.98 [9883]~P24(f333(f333(f335(f889(a880,a880)),x98834),x98831))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x98834),x98832)),a36))+~P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98831),x98833)),a37))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98831),f333(f333(f311(f889(a880,a880)),x98832),x98833))),a37))
% 163.24/162.98 [9884]~P24(f333(f333(f335(f889(a880,a880)),x98844),x98841))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x98844),x98842)),a71))+~P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98841),x98843)),a72))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98841),f333(f333(f311(f889(a880,a880)),x98842),x98843))),a72))
% 163.24/162.98 [9775]~P110(x97752)+~P62(x97751)+~P24(f333(f333(f251(f890(x97751,x97752)),x97753),x97754))+P24(f333(f59(x97751),f333(f333(f10(a874,a874,x97751),a328),f333(f333(f20(x97751,x97752,a874),f333(f333(f10(x97752,f890(x97752,a874),x97751),a330),x97753)),x97754))))
% 163.24/162.98 [9896]~P24(f333(f333(f335(f889(a880,a880)),x98964),x98963))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x98961),x98964)),a36))+~P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98962),x98963)),a38))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f333(f333(f311(f889(a880,a880)),x98961),x98962)),x98963)),a38))
% 163.24/162.98 [9897]~P24(f333(f333(f335(f889(a880,a880)),x98974),x98973))+~P24(f333(f333(f335(f889(f889(a880,a880),f889(a880,a880))),f333(f333(f263(f889(a880,a880),f889(a880,a880)),x98971),x98974)),a71))+~P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),x98972),x98973)),a70))+P24(f333(f333(f335(f889(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874))),f333(f333(f263(f890(f889(a880,a880),a874),f890(f889(a880,a880),a874)),f333(f333(f311(f889(a880,a880)),x98971),x98972)),x98973)),a70))
% 163.24/162.98 [6046]~P5(x60464,x60461)+~P24(f333(f333(x60461,x60462),x60465))+P24(f333(f333(x60461,x60462),x60463))+~P24(f333(f333(x60461,x60465),x60463))
% 163.24/162.98 [5312]~P68(x53125)+E(x53121,x53122)+~E(x53123,x53124)+~E(f333(f333(f3(x53125),x53123),x53124),f333(f333(f3(x53125),x53121),x53122))
% 163.24/162.98 [6156]~P13(x61565,x61561,x61563)+E(f333(f333(x61561,x61562),f333(x61563,x61564)),f333(x61563,x61564))+~P24(f333(f63(x61565),x61564))+~P24(f333(f333(f335(x61565),x61562),x61564))
% 163.24/162.98 [6342]~P81(x63421)+~E(f333(f333(f3(x63421),x63424),x63425),f333(f333(f3(x63421),x63422),x63423))+~P24(f333(f333(f251(x63421),x63424),x63425))+P24(f333(f333(f251(x63421),x63422),x63423))
% 163.24/162.98 [6344]~P81(x63441)+~E(f333(f333(f3(x63441),x63444),x63445),f333(f333(f3(x63441),x63442),x63443))+~P24(f333(f333(f250(x63441),x63444),x63445))+P24(f333(f333(f250(x63441),x63442),x63443))
% 163.24/162.98 [7288]~E(x72882,f333(f333(f152(x72881),x72884),x72885))+P24(f333(f333(f335(f881(x72881)),x72882),f162(x72881,x72883)))+~P24(f333(f333(f335(f881(x72881)),x72885),f162(x72881,x72883)))+~P24(f333(f333(f335(x72881),x72884),x72883))
% 163.24/162.98 [7691]~E(f333(f195(f881(x76911)),x76913),f333(f195(f881(x76912)),x76914))+~E(f333(f333(f155(f889(x76911,x76912),x76912),f271(x76911,x76912)),x76915),x76914)+~E(f333(f333(f155(f889(x76911,x76912),x76911),f262(x76911,x76912)),x76915),x76913)+E(f333(f333(f182(x76911,x76912),x76913),x76914),x76915)
% 163.24/162.98 [8021]~P110(x80211)+P24(f333(f333(f251(f890(x80211,a874)),f304(x80211,x80212,x80213)),f304(x80211,x80214,x80215)))+~P24(f333(f333(f250(x80211),x80214),x80215))+P24(f333(f333(f250(x80211),x80212),x80213))
% 163.24/162.98 [8123]~P110(x81231)+P24(f333(f333(f250(f890(x81231,a874)),f304(x81231,x81232,x81233)),f304(x81231,x81234,x81235)))+~P24(f333(f333(f250(x81231),x81233),x81235))+~P24(f333(f333(f250(x81231),x81234),x81232))
% 163.24/162.98 [8247]~P109(x82471)+P24(f333(f333(f250(x82471),x82472),x82473))+P24(f333(f333(f250(x82471),x82474),x82473))+~P24(f333(f333(f250(f890(x82471,a874)),f333(f303(x82471,x82473),x82472)),f333(f303(x82471,x82474),x82475)))
% 163.24/162.98 [8248]~P109(x82481)+P24(f333(f333(f250(x82481),x82482),x82483))+P24(f333(f333(f250(x82481),x82482),x82484))+~P24(f333(f333(f250(f890(x82481,a874)),f333(f303(x82481,x82483),x82482)),f333(f303(x82481,x82485),x82484)))
% 163.24/162.98 [8483]~P110(x84831)+~P24(f333(f333(f251(f890(x84831,a874)),f304(x84831,x84834,x84832)),f304(x84831,x84835,x84833)))+P24(f333(f333(f250(x84831),x84832),x84833))+~P24(f333(f333(f250(x84831),x84834),x84832))
% 163.24/162.98 [8484]~P110(x84841)+~P24(f333(f333(f250(f890(x84841,a874)),f304(x84841,x84844,x84842)),f304(x84841,x84845,x84843)))+P24(f333(f333(f250(x84841),x84842),x84843))+~P24(f333(f333(f250(x84841),x84844),x84842))
% 163.24/162.98 [8485]~P110(x84851)+~P24(f333(f333(f251(f890(x84851,a874)),f304(x84851,x84853,x84854)),f304(x84851,x84852,x84855)))+P24(f333(f333(f250(x84851),x84852),x84853))+~P24(f333(f333(f250(x84851),x84853),x84854))
% 163.24/162.98 [8486]~P110(x84861)+~P24(f333(f333(f250(f890(x84861,a874)),f304(x84861,x84863,x84864)),f304(x84861,x84862,x84865)))+P24(f333(f333(f250(x84861),x84862),x84863))+~P24(f333(f333(f250(x84861),x84863),x84864))
% 163.24/162.98 [6045]~P13(x60452,x60455,x60453)+E(x60451,f194(f890(x60452,a874)))+~P24(f333(f63(x60452),x60451))+E(f333(x60453,f333(f333(f311(x60452),x60454),x60451)),f333(f333(x60455,x60454),f333(x60453,x60451)))
% 163.24/162.98 [6799]~E(x67991,x67992)+~E(f333(f333(f106(f890(x67993,a874)),x67994),x67995),f194(f890(x67993,a874)))+~P24(f333(f333(f335(x67993),x67992),x67995))+~P24(f333(f333(f335(x67993),x67991),x67994))
% 163.24/162.98 [6877]~P14(x68772,x68775,x68771)+~P24(f333(f63(x68772),x68774))+E(f333(x68771,f333(f333(f311(x68772),x68773),x68774)),f333(f333(f66(x68772,x68772,x68775),x68773),x68774))+P24(f333(f333(f335(x68772),x68773),x68774))
% 163.24/162.98 [6942]~P69(x69422)+~P24(f333(f63(x69421),x69425))+E(f333(f333(f8(x69421,x69422),x69423),f333(f333(f311(x69421),x69424),x69425)),f333(f333(f81(x69422),f333(x69423,x69424)),f333(f333(f8(x69421,x69422),x69423),x69425)))+P24(f333(f333(f335(x69421),x69424),x69425))
% 163.24/162.98 [6944]~P76(x69442)+~P24(f333(f63(x69441),x69445))+E(f333(f333(f11(x69441,x69442),x69443),f333(f333(f311(x69441),x69444),x69445)),f333(f333(f82(x69442),f333(x69443,x69444)),f333(f333(f11(x69441,x69442),x69443),x69445)))+P24(f333(f333(f335(x69441),x69444),x69445))
% 163.24/162.98 [7438]~P14(x74382,x74385,x74381)+~P24(f333(f63(x74382),x74384))+E(f333(x74381,f333(f333(f311(x74382),x74383),x74384)),x74383)+~E(f333(f333(f3(f890(x74382,a874)),x74384),f333(f333(f311(x74382),x74383),f194(f890(x74382,a874)))),f194(f890(x74382,a874)))
% 163.24/162.98 [7743]~P24(f333(x77431,x77433))+~P24(f333(f333(f201(x77432),x77433),x77435))+~P24(f333(f333(f201(f33(x77431,x77432)),x77435),x77434))+P24(f333(f333(f201(f33(x77431,x77432)),x77433),x77434))
% 163.24/162.98 [7797]~P88(x77971)+~P24(f333(f333(f251(x77971),x77973),x77975))+~P24(f333(f333(f251(x77971),x77972),x77974))+P24(f333(f333(f251(x77971),f333(f333(f81(x77971),x77972),x77973)),f333(f333(f81(x77971),x77974),x77975)))
% 163.24/162.98 [7798]~P88(x77981)+~P24(f333(f333(f250(x77981),x77982),x77984))+~P24(f333(f333(f251(x77981),x77983),x77985))+P24(f333(f333(f251(x77981),f333(f333(f81(x77981),x77982),x77983)),f333(f333(f81(x77981),x77984),x77985)))
% 163.24/162.98 [7799]~P88(x77991)+~P24(f333(f333(f250(x77991),x77993),x77995))+~P24(f333(f333(f251(x77991),x77992),x77994))+P24(f333(f333(f251(x77991),f333(f333(f81(x77991),x77992),x77993)),f333(f333(f81(x77991),x77994),x77995)))
% 163.24/162.98 [7800]~P101(x78001)+~P24(f333(f333(f250(x78001),x78003),x78005))+~P24(f333(f333(f250(x78001),x78002),x78004))+P24(f333(f333(f250(x78001),f333(f333(f115(x78001),x78002),x78003)),f333(f333(f115(x78001),x78004),x78005)))
% 163.24/162.98 [7801]~P102(x78011)+~P24(f333(f333(f250(x78011),x78013),x78015))+~P24(f333(f333(f250(x78011),x78012),x78014))+P24(f333(f333(f250(x78011),f333(f333(f106(x78011),x78012),x78013)),f333(f333(f106(x78011),x78014),x78015)))
% 163.24/162.98 [7802]~P86(x78021)+~P24(f333(f333(f250(x78021),x78023),x78025))+~P24(f333(f333(f250(x78021),x78022),x78024))+P24(f333(f333(f250(x78021),f333(f333(f81(x78021),x78022),x78023)),f333(f333(f81(x78021),x78024),x78025)))
% 163.24/162.98 [7803]~P109(x78031)+~P24(f333(f333(f250(x78031),x78033),x78035))+~P24(f333(f333(f250(x78031),x78032),x78034))+P24(f333(f333(f250(x78031),f333(f333(f248(x78031),x78032),x78033)),f333(f333(f248(x78031),x78034),x78035)))
% 163.24/162.98 [7804]~P109(x78041)+~P24(f333(f333(f250(x78041),x78043),x78045))+~P24(f333(f333(f250(x78041),x78042),x78044))+P24(f333(f333(f250(x78041),f333(f333(f249(x78041),x78042),x78043)),f333(f333(f249(x78041),x78044),x78045)))
% 163.24/162.98 [7933]~P137(x79335)+E(x79331,x79332)+E(x79333,x79334)+~E(f333(f333(f81(x79335),f333(f333(f82(x79335),x79333),x79331)),f333(f333(f82(x79335),x79334),x79332)),f333(f333(f81(x79335),f333(f333(f82(x79335),x79333),x79332)),f333(f333(f82(x79335),x79334),x79331)))
% 163.24/162.98 [8076]P32(x80761,x80762,x80763)+~P23(x80761,x80764,x80765)+~P32(x80761,x80762,f606(x80765,x80764,x80761,x80762))+~P24(f333(f333(f335(f879(x80761)),x80763),x80765))
% 163.24/162.98 [8147]~P109(x81474)+~P24(f333(f138(x81471),x81473))+P24(f333(f333(f335(x81471),x81472),f333(f173(x81471),x81473)))+P24(f333(f138(x81471),f333(f333(f149(x81471,x81474,x81475),x81472),x81473)))
% 163.24/162.98 [8293]~P68(x82931)+E(f333(f333(f3(x82931),f333(f333(f8(a880,x82931),x82932),f333(f303(a880,x82933),x82934))),f333(f333(f8(a880,x82931),x82932),f333(f303(a880,x82933),x82935))),f333(f333(f8(a880,x82931),x82932),f333(f303(a880,x82935),x82934)))+~P24(f333(f333(f250(a880),x82935),x82934))+~P24(f333(f333(f250(a880),x82933),x82935))
% 163.24/162.98 [8294]~P69(x82941)+E(f333(f333(f81(x82941),f333(f333(f8(a880,x82941),x82942),f333(f303(a880,x82943),x82944))),f333(f333(f8(a880,x82941),x82942),f333(f303(a880,x82944),x82945))),f333(f333(f8(a880,x82941),x82942),f333(f303(a880,x82943),x82945)))+~P24(f333(f333(f250(a880),x82944),x82945))+~P24(f333(f333(f250(a880),x82943),x82944))
% 163.24/162.98 [8622]~P64(x86222)+E(x86221,f2(x86222))+E(x86223,f2(x86222))+E(f333(f333(f291(x86222),f333(f333(f3(x86222),f333(f333(f82(x86222),x86224),x86221)),f333(f333(f82(x86222),x86225),x86223))),f333(f333(f82(x86222),x86223),x86221)),f333(f333(f3(x86222),f333(f333(f291(x86222),x86224),x86223)),f333(f333(f291(x86222),x86225),x86221)))
% 163.24/162.98 [8623]~P64(x86232)+E(x86231,f2(x86232))+E(x86233,f2(x86232))+E(f333(f333(f291(x86232),f333(f333(f81(x86232),f333(f333(f82(x86232),x86234),x86231)),f333(f333(f82(x86232),x86235),x86233))),f333(f333(f82(x86232),x86233),x86231)),f333(f333(f81(x86232),f333(f333(f291(x86232),x86234),x86233)),f333(f333(f291(x86232),x86235),x86231)))
% 163.24/162.98 [8632]~E(x86322,f333(x86323,x86321))+E(x86321,f836(x86322,x86323,x86324,x86325))+~P21(x86325,x86324,x86323,f258(f890(x86325,a874)))+~P24(f333(f333(f335(x86324),x86322),f333(f312(x86325,x86324,x86323),f258(f890(x86325,a874)))))
% 163.24/162.98 [8821]~P120(x88211)+~P24(f333(f333(f251(x88211),f333(f76(x88211),x88212)),x88214))+P24(f333(f333(f251(x88211),f333(f333(f82(x88211),f333(f76(x88211),x88212)),f333(f76(x88211),x88213))),f333(f333(f82(x88211),x88214),x88215)))+~P24(f333(f333(f251(x88211),f333(f76(x88211),x88213)),x88215))
% 163.24/162.98 [8839]~P23(x88391,x88395,x88394)+P32(x88391,x88392,x88393)+P24(f333(f333(f335(f879(x88391)),f606(x88394,x88395,x88391,x88392)),x88395))+~P24(f333(f333(f335(f879(x88391)),x88393),x88394))
% 163.24/162.98 [8944]~P21(x89441,x89443,x89445,x89442)+~P24(f333(f63(x89443),x89444))+P24(f333(f333(f250(a880),f333(f39(x89441),x89442)),f333(f39(x89443),x89444)))+~P24(f333(f333(f250(f890(x89443,a874)),f333(f312(x89441,x89443,x89445),x89442)),x89444))
% 163.24/162.98 [9012]~P69(x90122)+~P21(x90121,x90121,x90124,x90125)+~P24(f333(f63(x90121),x90125))+E(f333(f333(f8(x90121,x90122),f333(f74(x90121,x90122,x90121,x90123),x90124)),x90125),f333(f333(f8(x90121,x90122),x90123),f333(f312(x90121,x90121,x90124),x90125)))
% 163.24/162.98 [9013]~P76(x90132)+~P21(x90131,x90131,x90134,x90135)+~P24(f333(f63(x90131),x90135))+E(f333(f333(f11(x90131,x90132),f333(f74(x90131,x90132,x90131,x90133),x90134)),x90135),f333(f333(f11(x90131,x90132),x90133),f333(f312(x90131,x90131,x90134),x90135)))
% 163.24/162.98 [9115]~P40(x91151,x91152)+~P24(f333(f333(f335(x91151),x91153),x91154))+~P24(f333(f333(f335(x91151),x91155),x91154))+~P24(f333(f333(f335(f889(x91151,x91151)),f333(f333(f263(x91151,x91151),x91155),f786(x91152,x91151,x91154))),x91152))
% 163.24/162.98 [9162]~P21(x91622,x91623,x91625,x91621)+E(x91621,f194(f890(x91622,a874)))+E(f333(f312(x91623,x91622,f354(x91624,x91623,x91622,x91621)),x91624),x91621)+~P24(f333(f333(f250(f890(x91623,a874)),f333(f312(x91622,x91623,x91625),x91621)),x91624))
% 163.24/162.98 [9660]~P29(x96605)+~P109(x96605)+P24(f333(f333(f335(x96601),f540(x96602,x96603,x96601,x96604,x96605)),x96603))+~P24(f333(f333(f251(x96605),x96604),f333(f333(f44(x96601,x96605),x96603),x96602)))
% 163.24/162.98 [9665]~P29(x96651)+~P109(x96651)+P24(f333(f333(f251(x96651),x96652),f333(x96653,f540(x96653,x96654,x96655,x96652,x96651))))+~P24(f333(f333(f251(x96651),x96652),f333(f333(f44(x96655,x96651),x96654),x96653)))
% 163.24/162.98 [9748]~P73(x97481)+~P24(f333(f68(x97481,x97481,f82(x97481),x97482,x97483),x97485))+P24(f333(f333(f335(x97481),x97482),x97483))+P24(f333(f68(x97481,x97481,f82(x97481),x97484,f333(f333(f311(x97481),x97482),x97483)),f333(f333(f82(x97481),x97484),x97485)))
% 163.24/162.98 [9952]~P69(x99522)+~P24(f333(f63(x99521),x99525))+E(f333(f333(f8(x99521,x99522),f333(f333(f9(x99521,x99522,x99522),f333(f333(f20(x99521,x99522,f890(x99522,x99522)),f333(f333(f10(a874,f890(x99522,f890(x99522,x99522)),x99521),f101(x99522)),f333(a330,x99523))),x99524)),f2(x99522))),x99525),f2(x99522))+P24(f333(f333(f335(x99521),x99523),x99525))
% 163.24/162.98 [9953]~P76(x99532)+~P24(f333(f63(x99531),x99535))+E(f333(f333(f11(x99531,x99532),f333(f333(f9(x99531,x99532,x99532),f333(f333(f20(x99531,x99532,f890(x99532,x99532)),f333(f333(f10(a874,f890(x99532,f890(x99532,x99532)),x99531),f101(x99532)),f333(a330,x99533))),x99534)),f79(x99532))),x99535),f79(x99532))+P24(f333(f333(f335(x99531),x99533),x99535))
% 163.24/162.98 [9954]~P69(x99542)+~P24(f333(f63(x99541),x99545))+E(f333(f333(f8(x99541,x99542),f333(f333(f9(x99541,x99542,x99542),f333(f333(f20(x99541,x99542,f890(x99542,x99542)),f333(f333(f10(a874,f890(x99542,f890(x99542,x99542)),x99541),f101(x99542)),f333(a330,x99543))),x99544)),f2(x99542))),x99545),f333(x99544,x99543))+~P24(f333(f333(f335(x99541),x99543),x99545))
% 163.24/162.98 [9955]~P76(x99552)+~P24(f333(f63(x99551),x99555))+E(f333(f333(f11(x99551,x99552),f333(f333(f9(x99551,x99552,x99552),f333(f333(f20(x99551,x99552,f890(x99552,x99552)),f333(f333(f10(a874,f890(x99552,f890(x99552,x99552)),x99551),f101(x99552)),f333(a330,x99553))),x99554)),f79(x99552))),x99555),f333(x99554,x99553))+~P24(f333(f333(f335(x99551),x99553),x99555))
% 163.24/162.98 [10008]~P69(x100082)+~P24(f333(f63(x100081),x100085))+E(f333(f333(f8(x100081,x100082),f333(f333(f9(x100081,x100082,x100082),f333(f333(f20(x100081,x100082,f890(x100082,x100082)),f333(f333(f10(a874,f890(x100082,f890(x100082,x100082)),x100081),f101(x100082)),f333(f333(f9(x100081,x100081,a874),a330),x100083))),x100084)),f2(x100082))),x100085),f2(x100082))+P24(f333(f333(f335(x100081),x100083),x100085))
% 163.24/162.98 [10009]~P76(x100092)+~P24(f333(f63(x100091),x100095))+E(f333(f333(f11(x100091,x100092),f333(f333(f9(x100091,x100092,x100092),f333(f333(f20(x100091,x100092,f890(x100092,x100092)),f333(f333(f10(a874,f890(x100092,f890(x100092,x100092)),x100091),f101(x100092)),f333(f333(f9(x100091,x100091,a874),a330),x100093))),x100094)),f79(x100092))),x100095),f79(x100092))+P24(f333(f333(f335(x100091),x100093),x100095))
% 163.24/162.98 [10011]~P69(x100112)+~P24(f333(f63(x100111),x100115))+E(f333(f333(f8(x100111,x100112),f333(f333(f9(x100111,x100112,x100112),f333(f333(f20(x100111,x100112,f890(x100112,x100112)),f333(f333(f10(a874,f890(x100112,f890(x100112,x100112)),x100111),f101(x100112)),f333(f333(f9(x100111,x100111,a874),a330),x100113))),x100114)),f2(x100112))),x100115),f333(x100114,x100113))+~P24(f333(f333(f335(x100111),x100113),x100115))
% 163.24/162.98 [10012]~P76(x100122)+~P24(f333(f63(x100121),x100125))+E(f333(f333(f11(x100121,x100122),f333(f333(f9(x100121,x100122,x100122),f333(f333(f20(x100121,x100122,f890(x100122,x100122)),f333(f333(f10(a874,f890(x100122,f890(x100122,x100122)),x100121),f101(x100122)),f333(f333(f9(x100121,x100121,a874),a330),x100123))),x100124)),f79(x100122))),x100125),f333(x100124,x100123))+~P24(f333(f333(f335(x100121),x100123),x100125))
% 163.24/162.98 [7796]~P68(x77962)+~P24(f333(f63(x77961),x77964))+E(f333(f333(f8(x77961,x77962),x77963),f333(f333(f3(f890(x77961,a874)),x77964),f333(f333(f311(x77961),x77965),f194(f890(x77961,a874))))),f333(f333(f8(x77961,x77962),x77963),x77964))+P24(f333(f333(f335(x77961),x77965),x77964))
% 163.24/162.98 [8299]~P106(x82992)+~P24(f333(f63(x82991),x82994))+E(f333(f333(f8(x82991,x82992),x82993),f333(f333(f3(f890(x82991,a874)),x82994),f333(f333(f311(x82991),x82995),f194(f890(x82991,a874))))),f333(f333(f3(x82992),f333(f333(f8(x82991,x82992),x82993),x82994)),f333(x82993,x82995)))+~P24(f333(f333(f335(x82991),x82995),x82994))
% 163.24/162.98 [8300]~P68(x83002)+~P24(f333(f63(x83001),x83004))+E(f333(f333(f8(x83001,x83002),x83003),f333(f333(f3(f890(x83001,a874)),x83004),f333(f333(f311(x83001),x83005),f194(f890(x83001,a874))))),f333(f333(f3(x83002),f333(f333(f8(x83001,x83002),x83003),x83004)),f333(x83003,x83005)))+~P24(f333(f333(f335(x83001),x83005),x83004))
% 163.24/162.98 [8328]~P68(x83281)+~P24(f333(f63(x83282),x83284))+E(f333(f333(f3(x83281),f333(f333(f8(x83282,x83281),x83283),x83284)),f333(f333(f8(x83282,x83281),x83283),x83285)),f333(f333(f8(x83282,x83281),x83283),f333(f333(f3(f890(x83282,a874)),x83284),x83285)))+~P24(f333(f333(f250(f890(x83282,a874)),x83285),x83284))
% 163.24/162.98 [8348]P24(f333(f63(x83481),f333(x83482,x83483)))+~P24(f333(f63(x83484),x83485))+~P24(f333(f333(f335(x83484),x83483),x83485))+~P24(f333(f63(x83481),f333(f333(f44(x83484,f890(x83481,a874)),x83485),x83482)))
% 163.24/162.98 [8781]~P6(x87811,x87815,x87814)+~E(f333(f287(x87811,x87811,x87814),f333(f333(f311(x87811),x87812),f194(f890(x87811,a874)))),f333(f287(x87811,x87811,x87814),f333(f333(f311(x87811),x87813),f194(f890(x87811,a874)))))+~P24(f333(f333(f335(x87811),x87813),x87815))+P24(f333(f333(f335(f889(x87811,x87811)),f333(f333(f263(x87811,x87811),x87812),x87813)),x87814))
% 163.24/162.98 [9070]~P24(f333(x90701,x90705))+P24(f333(x90701,f422(x90701,x90702,x90703,x90704)))+P24(f333(x90701,f408(x90701,x90702,x90703,x90704)))+~P24(f333(f333(f335(x90704),x90705),f333(f333(f115(f890(x90704,a874)),x90703),x90702)))
% 163.24/162.98 [9263]~P24(f333(x92631,x92635))+P24(f333(x92631,f408(x92631,x92632,x92633,x92634)))+P24(f333(f333(f335(x92634),f422(x92631,x92632,x92633,x92634)),x92632))+~P24(f333(f333(f335(x92634),x92635),f333(f333(f115(f890(x92634,a874)),x92633),x92632)))
% 163.24/162.98 [9264]~P24(f333(x92641,x92645))+P24(f333(x92641,f422(x92641,x92642,x92643,x92644)))+P24(f333(f333(f335(x92644),f408(x92641,x92642,x92643,x92644)),x92643))+~P24(f333(f333(f335(x92644),x92645),f333(f333(f115(f890(x92644,a874)),x92643),x92642)))
% 163.24/162.98 [9272]P24(f333(x92721,x92722))+~P24(f333(x92721,f463(x92721,x92723,x92724,x92725)))+~P24(f333(x92721,f450(x92721,x92723,x92724,x92725)))+~P24(f333(f333(f335(x92725),x92722),f333(f333(f115(f890(x92725,a874)),x92724),x92723)))
% 163.24/162.98 [9315]E(x93151,x93152)+~P24(f333(f333(f335(f889(x93153,x93153)),f333(f333(f263(x93153,x93153),x93151),x93152)),f309(x93153,x93155)))+P24(f333(f333(f335(x93153),x93151),x93154))+~P24(f333(f333(f250(f890(f889(x93153,x93153),a874)),x93155),f333(f333(f270(x93153,x93153),x93154),f333(f18(f890(x93153,a874),x93153),x93154))))
% 163.24/162.98 [9334]P24(f333(x93341,x93342))+~P24(f333(x93341,f450(x93341,x93344,x93345,x93343)))+P24(f333(f333(f335(x93343),f463(x93341,x93344,x93345,x93343)),x93344))+~P24(f333(f333(f335(x93343),x93342),f333(f333(f115(f890(x93343,a874)),x93345),x93344)))
% 163.24/162.98 [9335]P24(f333(x93351,x93352))+~P24(f333(x93351,f463(x93351,x93354,x93355,x93353)))+P24(f333(f333(f335(x93353),f450(x93351,x93354,x93355,x93353)),x93355))+~P24(f333(f333(f335(x93353),x93352),f333(f333(f115(f890(x93353,a874)),x93355),x93354)))
% 163.24/162.98 [9395]P24(f333(x93951,x93952))+P24(f333(f333(f335(x93953),f463(x93951,x93954,x93955,x93953)),x93954))+P24(f333(f333(f335(x93953),f450(x93951,x93954,x93955,x93953)),x93955))+~P24(f333(f333(f335(x93953),x93952),f333(f333(f115(f890(x93953,a874)),x93955),x93954)))
% 163.24/162.98 [9396]~P24(f333(x93962,x93965))+P24(f333(f333(f335(x93961),f422(x93962,x93963,x93964,x93961)),x93963))+P24(f333(f333(f335(x93961),f408(x93962,x93963,x93964,x93961)),x93964))+~P24(f333(f333(f335(x93961),x93965),f333(f333(f115(f890(x93961,a874)),x93964),x93963)))
% 163.24/162.98 [9557]~P6(x95571,x95575,x95574)+~P24(f333(f333(f335(x95571),x95573),x95575))+P24(f333(f333(f335(f889(x95571,x95571)),f333(f333(f263(x95571,x95571),x95572),x95573)),x95574))+~P24(f333(f333(f250(f890(x95571,a874)),f333(f287(x95571,x95571,x95574),f333(f333(f311(x95571),x95573),f194(f890(x95571,a874))))),f333(f287(x95571,x95571,x95574),f333(f333(f311(x95571),x95572),f194(f890(x95571,a874))))))
% 163.24/162.98 [9691]~P29(x96915)+~P109(x96915)+P24(f333(f333(f335(x96911),f531(x96912,x96913,x96914,x96911,x96915)),x96914))+~P24(f333(f333(f251(x96915),f333(f333(f43(x96911,x96915),x96914),x96913)),x96912))
% 163.24/162.98 [9723]~P84(x97235)+~P86(x97235)+P24(f333(f333(f335(x97231),f640(x97232,x97233,x97234,x97231,x97235)),f333(f173(x97231),x97234)))+P24(f333(f333(f250(x97235),f333(f167(x97235),f333(f333(f155(x97231,x97235),x97233),x97234))),f333(f167(x97235),f333(f333(f155(x97231,x97235),x97232),x97234))))
% 163.24/162.98 [9853]~P29(x98531)+~P109(x98531)+P24(f333(f333(f251(x98531),f333(x98532,f531(x98533,x98532,x98534,x98535,x98531))),x98533))+~P24(f333(f333(f251(x98531),f333(f333(f43(x98535,x98531),x98534),x98532)),x98533))
% 163.24/162.98 [9969]~P84(x99691)+~P86(x99691)+~P24(f333(f333(f250(x99691),f333(x99693,f640(x99695,x99693,x99694,x99692,x99691))),f333(x99695,f640(x99695,x99693,x99694,x99692,x99691))))+P24(f333(f333(f250(x99691),f333(f167(x99691),f333(f333(f155(x99692,x99691),x99693),x99694))),f333(f167(x99691),f333(f333(f155(x99692,x99691),x99695),x99694))))
% 163.24/162.98 [8640]~P69(x86401)+~P24(f333(f63(x86404),x86405))+~P24(f333(f333(f335(x86404),x86403),x86405))+E(f333(f333(f81(x86401),f333(x86402,x86403)),f333(f333(f8(x86404,x86401),x86402),f333(f333(f3(f890(x86404,a874)),x86405),f333(f333(f311(x86404),x86403),f194(f890(x86404,a874)))))),f333(f333(f8(x86404,x86401),x86402),x86405))
% 163.24/162.98 [8641]~P76(x86411)+~P24(f333(f63(x86414),x86415))+~P24(f333(f333(f335(x86414),x86413),x86415))+E(f333(f333(f82(x86411),f333(x86412,x86413)),f333(f333(f11(x86414,x86411),x86412),f333(f333(f3(f890(x86414,a874)),x86415),f333(f333(f311(x86414),x86413),f194(f890(x86414,a874)))))),f333(f333(f11(x86414,x86411),x86412),x86415))
% 163.24/162.98 [8687]~P14(x86871,x86874,x86875)+~P24(f333(f63(x86871),x86872))+E(f333(f333(f3(f890(x86871,a874)),x86872),f333(f333(f311(x86871),x86873),f194(f890(x86871,a874)))),f194(f890(x86871,a874)))+E(f333(f333(x86874,x86873),f333(x86875,f333(f333(f3(f890(x86871,a874)),x86872),f333(f333(f311(x86871),x86873),f194(f890(x86871,a874)))))),f333(x86875,f333(f333(f311(x86871),x86873),x86872)))
% 163.24/162.98 [9051]~P69(x90511)+~P24(f333(f63(x90512),x90515))+~P24(f333(f63(x90512),x90514))+E(f333(f333(f81(x90511),f333(f333(f8(x90512,x90511),x90513),f333(f333(f115(f890(x90512,a874)),x90514),x90515))),f333(f333(f8(x90512,x90511),x90513),f333(f333(f106(f890(x90512,a874)),x90514),x90515))),f333(f333(f81(x90511),f333(f333(f8(x90512,x90511),x90513),x90514)),f333(f333(f8(x90512,x90511),x90513),x90515)))
% 163.24/162.98 [9053]~P76(x90531)+~P24(f333(f63(x90532),x90535))+~P24(f333(f63(x90532),x90534))+E(f333(f333(f82(x90531),f333(f333(f11(x90532,x90531),x90533),f333(f333(f115(f890(x90532,a874)),x90534),x90535))),f333(f333(f11(x90532,x90531),x90533),f333(f333(f106(f890(x90532,a874)),x90534),x90535))),f333(f333(f82(x90531),f333(f333(f11(x90532,x90531),x90533),x90534)),f333(f333(f11(x90532,x90531),x90533),x90535)))
% 163.24/162.98 [9202]~P68(x92021)+~P24(f333(f63(x92022),x92025))+~P24(f333(f63(x92022),x92024))+E(f333(f333(f3(x92021),f333(f333(f81(x92021),f333(f333(f8(x92022,x92021),x92023),x92024)),f333(f333(f8(x92022,x92021),x92023),x92025))),f333(f333(f8(x92022,x92021),x92023),f333(f333(f106(f890(x92022,a874)),x92024),x92025))),f333(f333(f8(x92022,x92021),x92023),f333(f333(f115(f890(x92022,a874)),x92024),x92025)))
% 163.24/162.98 [9405]~P21(x94051,x94052,x94053,x94055)+~P21(x94051,x94052,x94053,x94054)+P21(x94051,x94052,x94053,f333(f333(f115(f890(x94051,a874)),x94054),x94055))+~E(f333(f333(f106(f890(x94052,a874)),f333(f312(x94051,x94052,x94053),f333(f333(f3(f890(x94051,a874)),x94054),x94055))),f333(f312(x94051,x94052,x94053),f333(f333(f3(f890(x94051,a874)),x94055),x94054))),f194(f890(x94052,a874)))
% 163.24/162.98 [9532]E(x95321,f2(a1))+~P24(f333(f333(f251(a1),f2(a1)),x95323))+~P24(f333(f50(x95322,x95321),f333(f333(f263(a1,a1),x95324),x95325)))+P24(f333(f50(x95322,f333(f333(f82(a1),x95321),x95323)),f333(f333(f263(a1,a1),f333(f333(f40(a1),x95324),x95323)),f333(f333(f81(a1),f333(f333(f82(a1),x95321),f46(a1,x95324,x95323))),x95325))))
% 163.24/162.98 [9540]~P24(f333(f333(f251(a880),f2(a880)),x95403))+~P24(f333(f333(f251(a880),f2(a880)),x95402))+~P24(f333(f49(x95401,x95402),f333(f333(f263(a880,a880),x95404),x95405)))+P24(f333(f49(x95401,f333(f333(f82(a880),x95402),x95403)),f333(f333(f263(a880,a880),f333(f333(f40(a880),x95404),x95403)),f333(f333(f81(a880),f333(f333(f82(a880),x95402),f46(a880,x95404,x95403))),x95405))))
% 163.24/162.98 [9595]~P76(x95951)+~P24(f333(f63(x95952),x95955))+~P24(f333(f63(x95952),x95954))+E(f333(f333(f82(x95951),f333(f333(f333(f67(x95951,x95952,f82(x95951)),x95953),f79(x95951)),f333(f333(f115(f890(x95952,a874)),x95954),x95955))),f333(f333(f333(f67(x95951,x95952,f82(x95951)),x95953),f79(x95951)),f333(f333(f106(f890(x95952,a874)),x95954),x95955))),f333(f333(f82(x95951),f333(f333(f333(f67(x95951,x95952,f82(x95951)),x95953),f79(x95951)),x95954)),f333(f333(f333(f67(x95951,x95952,f82(x95951)),x95953),f79(x95951)),x95955)))
% 163.24/162.98 [9597]~E(f333(f333(f174(x95971),x95975),x95972),f333(f333(f174(x95971),x95975),x95973))+P24(f333(f333(f335(f889(f881(x95971),f881(x95971))),f333(f333(f263(f881(x95971),f881(x95971)),x95972),x95973)),f148(x95971,x95974)))+~P24(f333(f333(f251(a880),x95975),f333(f333(f248(a880),f333(f195(f881(x95971)),x95972)),f333(f195(f881(x95971)),x95973))))+~P24(f333(f333(f335(f889(x95971,x95971)),f333(f333(f263(x95971,x95971),f333(f333(f166(x95971),x95972),x95975)),f333(f333(f166(x95971),x95973),x95975))),x95974))
% 163.24/162.98 [9711]~P86(x97115)+~P143(x97115)+P24(f333(f333(f335(x97111),f395(x97112,x97113,x97114,x97111,x97115)),x97114))+P24(f333(f333(f250(x97115),f333(f333(f8(x97111,x97115),x97113),x97114)),f333(f333(f82(x97115),f333(f105(x97115),f333(f39(x97111),x97114))),x97112)))
% 163.24/162.98 [9910]~P86(x99101)+~P143(x99101)+~P24(f333(f333(f250(x99101),f333(x99103,f395(x99105,x99103,x99104,x99102,x99101))),x99105))+P24(f333(f333(f250(x99101),f333(f333(f8(x99102,x99101),x99103),x99104)),f333(f333(f82(x99101),f333(f105(x99101),f333(f39(x99102),x99104))),x99105)))
% 163.24/162.98 [8661]E(f333(f333(f127(x86611),x86612),x86613),f333(f333(f127(x86611),x86614),x86615))+~E(f333(f333(f174(x86611),f333(f195(f881(x86611)),x86612)),x86614),x86612)+~E(f333(f333(f127(x86611),f333(f333(f139(x86611),f333(f195(f881(x86611)),x86612)),x86614)),x86615),x86613)+P24(f333(f333(f250(a880),f333(f195(f881(x86611)),x86614)),f333(f195(f881(x86611)),x86612)))
% 163.24/162.98 [8779]E(f333(f333(f127(x87791),x87792),x87793),f333(f333(f127(x87791),x87794),x87795))+~E(f333(f333(f174(x87791),f333(f195(f881(x87791)),x87792)),x87794),x87792)+~E(x87793,f333(f333(f127(x87791),f333(f333(f139(x87791),f333(f195(f881(x87791)),x87792)),x87794)),x87795))+~P24(f333(f333(f250(a880),f333(f195(f881(x87791)),x87792)),f333(f195(f881(x87791)),x87794)))
% 163.24/162.98 [10032]~P24(f333(x100325,x100324))+~P24(f333(f63(x100322),f333(f255(x100322),x100325)))+P24(f333(f63(x100321),f333(f255(x100321),f333(f333(f9(x100321,x100322,a874),x100323),x100324))))+~P24(f333(f63(x100321),f333(f255(x100321),f333(f333(f10(f890(x100322,a874),a874,x100321),f87(x100322)),f333(f333(f10(f890(x100322,a874),f890(x100322,a874),x100321),f333(f20(x100322,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100322),a331),x100325))),x100323)))))
% 163.24/162.98 [8463]~P15(x84635,x84631,x84636,x84632)+E(f333(f74(x84631,x84631,x84631,f333(x84632,x84633)),f333(x84632,x84634)),f333(f74(x84631,x84631,x84631,f333(x84632,x84634)),f333(x84632,x84633)))+~P24(f333(f63(x84635),x84634))+~P24(f333(f63(x84635),x84633))
% 163.24/162.98 [7853]~P21(x78531,x78532,x78534,x78533)+~E(f333(x78534,x78536),x78535)+E(f333(f78(x78531,x78532,x78533,x78534),x78535),x78536)+~P24(f333(f333(f335(x78531),x78536),x78533))
% 163.24/162.98 [8042]~P16(x80426,x80421,x80424,x80422)+E(f333(f74(x80421,x80421,x80421,f333(x80422,x80423)),f333(x80424,x80425)),f333(x80422,x80423))+~P24(f333(f63(x80426),x80423))+~P24(f333(f333(f335(x80426),x80425),x80423))
% 163.24/162.98 [9249]~P15(x92493,x92491,x92496,x92492)+E(f333(f74(x92491,x92491,x92491,f333(x92492,f333(f333(f3(f890(x92493,a874)),x92494),f333(f333(f311(x92493),x92495),f194(f890(x92493,a874)))))),f333(x92496,x92495)),f333(x92492,x92494))+~P24(f333(f63(x92493),x92494))+~P24(f333(f333(f335(x92493),x92495),x92494))
% 163.24/162.98 [6948]~P61(x69481)+~E(f46(x69481,x69483,x69484),f46(x69481,x69486,x69484))+~E(f46(x69481,x69482,x69484),f46(x69481,x69485,x69484))+E(f46(x69481,f333(f333(f3(x69481),x69482),x69483),x69484),f46(x69481,f333(f333(f3(x69481),x69485),x69486),x69484))
% 163.24/162.98 [6949]~P60(x69491)+~E(f46(x69491,x69493,x69494),f46(x69491,x69496,x69494))+~E(f46(x69491,x69492,x69494),f46(x69491,x69495,x69494))+E(f46(x69491,f333(f333(f81(x69491),x69492),x69493),x69494),f46(x69491,f333(f333(f81(x69491),x69495),x69496),x69494))
% 163.24/162.98 [6950]~P60(x69501)+~E(f46(x69501,x69503,x69504),f46(x69501,x69506,x69504))+~E(f46(x69501,x69502,x69504),f46(x69501,x69505,x69504))+E(f46(x69501,f333(f333(f82(x69501),x69502),x69503),x69504),f46(x69501,f333(f333(f82(x69501),x69505),x69506),x69504))
% 163.24/162.98 [7745]~P12(x77451,x77452,x77453)+~P24(f333(f63(x77451),x77456))+E(f333(f333(f66(x77451,x77452,x77453),x77454),f333(f333(f311(x77451),x77455),x77456)),f333(f333(f66(x77451,x77452,x77453),f333(f333(x77453,x77455),x77454)),x77456))+P24(f333(f333(f335(x77451),x77455),x77456))
% 163.24/162.98 [7810]~P29(x78101)+P24(f333(f333(f250(x78101),x78102),f333(x78103,x78104)))+~P24(f333(f333(f335(x78105),x78104),x78106))+~P24(f333(f333(f250(x78101),x78102),f333(f333(f43(x78105,x78101),x78106),x78103)))
% 163.24/162.98 [7960]~P12(x79601,x79602,x79603)+~P24(f333(f63(x79601),x79606))+E(f333(f333(f66(x79601,x79602,x79603),x79604),f333(f333(f311(x79601),x79605),x79606)),f333(f333(x79603,x79605),f333(f333(f66(x79601,x79602,x79603),x79604),x79606)))+P24(f333(f333(f335(x79601),x79605),x79606))
% 163.24/162.98 [8061]~P109(x80613)+~P24(f333(x80612,x80615))+~P31(x80613,f333(f333(f155(x80611,x80613),x80614),x80616))+E(f333(f137(x80611,x80612),f333(f333(f149(x80611,x80613,x80614),x80615),x80616)),f333(f333(f149(x80611,x80613,x80614),x80615),f333(f137(x80611,x80612),x80616)))
% 163.24/162.98 [8085]E(x80851,x80852)+E(x80853,f2(a1))+~P24(f333(f50(x80854,x80853),f333(f333(f263(a1,a1),x80855),x80852)))+~P24(f333(f50(x80854,x80853),f333(f333(f263(a1,a1),x80856),x80851)))
% 163.24/162.98 [8086]E(x80861,x80862)+E(x80863,f2(a1))+~P24(f333(f50(x80864,x80863),f333(f333(f263(a1,a1),x80862),x80865)))+~P24(f333(f50(x80864,x80863),f333(f333(f263(a1,a1),x80861),x80866)))
% 163.24/162.98 [8107]~P15(x81072,x81075,x81076,x81071)+~P24(f333(f63(x81072),x81074))+E(f333(x81071,f333(f333(f311(x81072),x81073),x81074)),f333(f74(x81075,x81075,x81075,f333(x81071,x81074)),f333(x81076,x81073)))+P24(f333(f333(f335(x81072),x81073),x81074))
% 163.24/162.98 [8331]~P16(x83315,x83311,x83316,x83312)+E(f333(f74(x83311,x83311,x83311,f333(x83312,x83313)),f333(x83312,x83314)),f333(x83312,x83313))+~P24(f333(f63(x83315),x83313))+~P24(f333(f333(f250(f890(x83315,a874)),x83314),x83313))
% 163.24/162.98 [9449]~P21(x94491,x94492,x94494,x94493)+~P24(f333(f333(f335(x94492),x94495),f333(f312(x94491,x94492,x94494),x94493)))+P24(f333(f333(f335(x94491),f333(f78(x94491,x94492,x94493,x94494),x94495)),x94496))+~P24(f333(f333(f250(f890(x94491,a874)),x94493),x94496))
% 163.24/162.98 [9857]~P69(x98572)+~E(f517(x98571,x98573,x98575,x98576,x98574,x98572),f518(x98571,x98573,x98575,x98576,x98574,x98572))+~P24(f333(f63(x98574),x98576))+E(f333(f333(f8(x98571,x98572),x98573),f333(f312(x98574,x98571,x98575),x98576)),f333(f333(f8(x98574,x98572),f333(f74(x98571,x98572,x98574,x98573),x98575)),x98576))
% 163.24/162.98 [9892]~P69(x98926)+E(f333(x98921,f517(x98922,x98923,x98921,x98924,x98925,x98926)),f333(x98921,f518(x98922,x98923,x98921,x98924,x98925,x98926)))+E(f333(f333(f8(x98922,x98926),x98923),f333(f312(x98925,x98922,x98921),x98924)),f333(f333(f8(x98925,x98926),f333(f74(x98922,x98926,x98925,x98923),x98921)),x98924))+~P24(f333(f63(x98925),x98924))
% 163.24/162.98 [9928]~P69(x99282)+~E(f333(x99283,f333(x99285,f518(x99281,x99283,x99285,x99286,x99284,x99282))),f2(x99282))+~P24(f333(f63(x99284),x99286))+E(f333(f333(f8(x99281,x99282),x99283),f333(f312(x99284,x99281,x99285),x99286)),f333(f333(f8(x99284,x99282),f333(f74(x99281,x99282,x99284,x99283),x99285)),x99286))
% 163.24/162.98 [9976]~P69(x99762)+~P24(f333(f63(x99764),x99766))+E(f333(f333(f8(x99761,x99762),x99763),f333(f312(x99764,x99761,x99765),x99766)),f333(f333(f8(x99764,x99762),f333(f74(x99761,x99762,x99764,x99763),x99765)),x99766))+P24(f333(f333(f335(x99764),f518(x99761,x99763,x99765,x99766,x99764,x99762)),x99766))
% 163.24/162.98 [9977]~P69(x99772)+~P24(f333(f63(x99774),x99776))+E(f333(f333(f8(x99771,x99772),x99773),f333(f312(x99774,x99771,x99775),x99776)),f333(f333(f8(x99774,x99772),f333(f74(x99771,x99772,x99774,x99773),x99775)),x99776))+P24(f333(f333(f335(x99774),f517(x99771,x99773,x99775,x99776,x99774,x99772)),x99776))
% 163.24/162.98 [10093]~P76(x100931)+~P24(f333(f63(x100932),x100936))+E(f333(f333(f333(f67(x100931,x100932,f82(x100931)),f333(f333(f20(x100932,f890(x100933,a874),x100931),f333(f333(f9(x100932,x100931,f890(f890(x100933,a874),x100931)),f333(f333(f10(f890(x100933,x100931),f890(x100931,f890(f890(x100933,a874),x100931)),x100932),f67(x100931,x100933,f82(x100931))),x100934)),f79(x100931))),x100935)),f79(x100931)),x100936),f333(f333(f333(f67(x100931,f889(x100932,x100933),f82(x100931)),f333(f272(x100932,x100933,x100931),x100934)),f79(x100931)),f333(f333(f270(x100932,x100933),x100936),x100935)))+P24(f333(f333(f335(x100932),f634(x100934,x100935,x100933,x100936,x100932,x100931)),x100936))
% 163.24/162.98 [10111]~P76(x101111)+~P24(f333(f63(x101112),x101116))+E(f333(f333(f333(f67(x101111,x101112,f82(x101111)),f333(f333(f20(x101112,f890(x101113,a874),x101111),f333(f333(f9(x101112,x101111,f890(f890(x101113,a874),x101111)),f333(f333(f10(f890(x101113,x101111),f890(x101111,f890(f890(x101113,a874),x101111)),x101112),f67(x101111,x101113,f82(x101111))),x101114)),f79(x101111))),x101115)),f79(x101111)),x101116),f333(f333(f333(f67(x101111,f889(x101112,x101113),f82(x101111)),f333(f272(x101112,x101113,x101111),x101114)),f79(x101111)),f333(f333(f270(x101112,x101113),x101116),x101115)))+~P24(f333(f63(x101113),f333(x101115,f634(x101114,x101115,x101113,x101116,x101112,x101111))))
% 163.24/162.98 [8246]~P16(x82462,x82465,x82466,x82461)+~P24(f333(f63(x82462),x82464))+~P24(f333(f63(x82462),x82463))+E(f333(x82461,f333(f333(f115(f890(x82462,a874)),x82463),x82464)),f333(f74(x82465,x82465,x82465,f333(x82461,x82463)),f333(x82461,x82464)))
% 163.24/162.98 [8464]~P29(x84641)+P24(f333(f333(f250(x84641),f333(x84642,x84643)),x84644))+~P24(f333(f333(f335(x84645),x84643),x84646))+~P24(f333(f333(f250(x84641),f333(f333(f44(x84645,x84641),x84646),x84642)),x84644))
% 163.24/162.98 [8863]~P21(x88632,x88631,x88633,x88636)+E(f333(f333(f3(f890(x88631,a874)),f333(f312(x88632,x88631,x88633),x88634)),f333(f312(x88632,x88631,x88633),x88635)),f333(f312(x88632,x88631,x88633),f333(f333(f3(f890(x88632,a874)),x88634),x88635)))+~P24(f333(f333(f250(f890(x88632,a874)),x88635),x88636))+~P24(f333(f333(f250(f890(x88632,a874)),x88634),x88636))
% 163.24/162.98 [8864]~P21(x88642,x88641,x88643,x88646)+E(f333(f333(f106(f890(x88641,a874)),f333(f312(x88642,x88641,x88643),x88644)),f333(f312(x88642,x88641,x88643),x88645)),f333(f312(x88642,x88641,x88643),f333(f333(f106(f890(x88642,a874)),x88644),x88645)))+~P24(f333(f333(f250(f890(x88642,a874)),x88645),x88646))+~P24(f333(f333(f250(f890(x88642,a874)),x88644),x88646))
% 163.24/162.98 [8903]~P24(f333(x89031,x89033))+~P24(f333(f333(f333(f333(a203,x89032),x89033),x89034),x89036))+~P24(f333(f333(f333(f333(a203,f33(x89031,x89032)),x89036),x89034),x89035))+P24(f333(f333(f333(f333(a203,f33(x89031,x89032)),x89033),x89034),x89035))
% 163.24/162.98 [9117]E(x91171,x91172)+~P54(x91173,x91174,x91175)+~P24(f333(f333(f335(f889(x91173,x91174)),f333(f333(f263(x91173,x91174),x91176),x91172)),x91175))+~P24(f333(f333(f335(f889(x91173,x91174)),f333(f333(f263(x91173,x91174),x91176),x91171)),x91175))
% 163.24/162.98 [9924]~P73(x99241)+~E(f333(x99243,f382(x99244,x99246,x99243,x99245,x99242,x99241)),f333(x99246,f382(x99244,x99246,x99243,x99245,x99242,x99241)))+~P24(f333(f63(x99242),x99245))+E(f333(f333(f333(f67(x99241,x99242,f82(x99241)),x99243),x99244),x99245),f333(f333(f333(f67(x99241,x99242,f82(x99241)),x99246),x99244),x99245))
% 163.24/162.98 [9974]~P73(x99741)+~P24(f333(f63(x99742),x99745))+E(f333(f333(f333(f67(x99741,x99742,f82(x99741)),x99743),x99744),x99745),f333(f333(f333(f67(x99741,x99742,f82(x99741)),x99746),x99744),x99745))+P24(f333(f333(f335(x99742),f382(x99744,x99743,x99746,x99745,x99742,x99741)),x99745))
% 163.24/162.98 [8672]~P73(x86721)+~P24(f333(f63(x86722),x86726))+P24(f333(f333(f335(x86722),x86725),x86726))+E(f333(f333(f333(f67(x86721,x86722,f82(x86721)),x86723),x86724),f333(f333(f311(x86722),x86725),x86726)),f333(f333(f82(x86721),f333(x86723,x86725)),f333(f333(f333(f67(x86721,x86722,f82(x86721)),x86723),x86724),x86726)))
% 163.24/162.98 [8718]~P6(x87181,x87186,x87183)+~P9(x87181,f890(x87182,a874),x87183,x87185)+~P24(f333(f333(f335(x87181),x87184),x87186))+E(f333(f333(f44(x87181,f890(x87182,a874)),f333(f287(x87181,x87181,x87183),f333(f333(f311(x87181),x87184),f194(f890(x87181,a874))))),x87185),f333(x87185,x87184))
% 163.24/162.98 [8840]~P12(x88403,x88404,x88401)+~P24(f333(f63(x88403),x88406))+~P24(f333(f333(f335(x88403),x88402),x88406))+E(f333(f333(x88401,x88402),f333(f333(f66(x88403,x88404,x88401),x88405),f333(f333(f3(f890(x88403,a874)),x88406),f333(f333(f311(x88403),x88402),f194(f890(x88403,a874)))))),f333(f333(f66(x88403,x88404,x88401),x88405),x88406))
% 163.24/162.98 [9137]~P15(x91373,x91371,x91376,x91372)+~P24(f333(f63(x91373),x91375))+~P24(f333(f63(x91373),x91374))+E(f333(f74(x91371,x91371,x91371,f333(x91372,f333(f333(f115(f890(x91373,a874)),x91374),x91375))),f333(x91372,f333(f333(f106(f890(x91373,a874)),x91374),x91375))),f333(f74(x91371,x91371,x91371,f333(x91372,x91374)),f333(x91372,x91375)))
% 163.24/162.98 [9469]~E(x94693,f333(f333(f160(x94691,x94692),x94695),x94696))+P24(f333(f333(f335(f889(f881(x94691),f881(x94691))),f333(f333(f263(f881(x94691),f881(x94691)),x94692),x94693)),f158(x94691,x94694)))+~P24(f333(f333(f251(a880),x94695),f333(f195(f881(x94691)),x94692)))+~P24(f333(f333(f335(f889(x94691,x94691)),f333(f333(f263(x94691,x94691),f333(f333(f166(x94691),x94692),x94695)),x94696)),x94694))
% 163.24/162.98 [9986]~P69(x99862)+~P24(f333(f63(x99861),x99866))+P24(f333(f333(f335(x99861),f633(x99864,x99865,x99863,x99866,x99861,x99862)),x99866))+E(f333(f333(f8(x99861,x99862),f333(f333(f20(x99861,f890(x99863,a874),x99862),f333(f333(f10(f890(x99863,x99862),f890(f890(x99863,a874),x99862),x99861),f8(x99863,x99862)),x99864)),x99865)),x99866),f333(f333(f8(f889(x99861,x99863),x99862),f333(f272(x99861,x99863,x99862),x99864)),f333(f333(f270(x99861,x99863),x99866),x99865)))
% 163.24/162.98 [9987]~P76(x99872)+~P24(f333(f63(x99871),x99876))+P24(f333(f333(f335(x99871),f631(x99874,x99875,x99873,x99876,x99871,x99872)),x99876))+E(f333(f333(f11(x99871,x99872),f333(f333(f20(x99871,f890(x99873,a874),x99872),f333(f333(f10(f890(x99873,x99872),f890(f890(x99873,a874),x99872),x99871),f11(x99873,x99872)),x99874)),x99875)),x99876),f333(f333(f11(f889(x99871,x99873),x99872),f333(f272(x99871,x99873,x99872),x99874)),f333(f333(f270(x99871,x99873),x99876),x99875)))
% 163.24/162.98 [10029]~P69(x100292)+~P24(f333(f63(x100291),x100296))+~P24(f333(f63(x100293),f333(x100295,f633(x100294,x100295,x100293,x100296,x100291,x100292))))+E(f333(f333(f8(x100291,x100292),f333(f333(f20(x100291,f890(x100293,a874),x100292),f333(f333(f10(f890(x100293,x100292),f890(f890(x100293,a874),x100292),x100291),f8(x100293,x100292)),x100294)),x100295)),x100296),f333(f333(f8(f889(x100291,x100293),x100292),f333(f272(x100291,x100293,x100292),x100294)),f333(f333(f270(x100291,x100293),x100296),x100295)))
% 163.24/162.98 [10030]~P76(x100302)+~P24(f333(f63(x100301),x100306))+~P24(f333(f63(x100303),f333(x100305,f631(x100304,x100305,x100303,x100306,x100301,x100302))))+E(f333(f333(f11(x100301,x100302),f333(f333(f20(x100301,f890(x100303,a874),x100302),f333(f333(f10(f890(x100303,x100302),f890(f890(x100303,a874),x100302),x100301),f11(x100303,x100302)),x100304)),x100305)),x100306),f333(f333(f11(f889(x100301,x100303),x100302),f333(f272(x100301,x100303,x100302),x100304)),f333(f333(f270(x100301,x100303),x100306),x100305)))
% 163.24/162.98 [10010]~P76(x100102)+~P24(f333(f63(x100101),x100106))+P24(f333(f333(f335(x100101),x100103),x100106))+E(f333(f333(f11(x100101,x100102),f333(f333(f9(x100101,x100102,x100102),f333(f333(f20(x100101,x100102,f890(x100102,x100102)),f333(f333(f10(a874,f890(x100102,f890(x100102,x100102)),x100101),f101(x100102)),f333(f333(f9(x100101,x100101,a874),a330),x100103))),x100104)),x100105)),x100106),f333(f333(f264(x100102),x100105),f333(f39(x100101),x100106)))
% 163.24/162.98 [10015]~P76(x100152)+~P24(f333(f63(x100151),x100156))+~P24(f333(f333(f335(x100151),x100153),x100156))+E(f333(f333(f11(x100151,x100152),f333(f333(f9(x100151,x100152,x100152),f333(f333(f20(x100151,x100152,f890(x100152,x100152)),f333(f333(f10(a874,f890(x100152,f890(x100152,x100152)),x100151),f101(x100152)),f333(f333(f9(x100151,x100151,a874),a330),x100153))),x100154)),x100155)),x100156),f333(f333(f82(x100152),f333(x100154,x100153)),f333(f333(f264(x100152),x100155),f333(f333(f3(a880),f333(f39(x100151),x100156)),f79(a880)))))
% 163.24/162.98 [10086]~P24(f333(f63(x100861),x100865))+~P24(f333(f63(x100862),x100863))+P24(f333(f333(f335(x100862),f571(x100866,x100864,x100863,x100862,x100865,x100861)),x100863))+E(f333(f333(f8(x100861,a880),f333(f333(f10(f890(x100862,a874),a880,x100861),f39(x100862)),f333(f333(f10(f890(x100862,a874),f890(x100862,a874),x100861),f255(x100862)),f333(f333(f10(f890(x100862,a874),f890(x100862,a874),x100861),f333(f20(x100862,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100862),a331),f333(f333(f9(x100862,f890(x100862,a874),a874),f335(x100862)),x100863)))),x100864)))),x100865),f333(f333(f82(a880),x100866),f333(f39(x100862),x100863)))
% 163.24/162.98 [10087]~P24(f333(f63(x100871),x100875))+~P24(f333(f63(x100872),x100873))+P24(f333(f333(f335(x100872),f572(x100876,x100874,x100873,x100872,x100875,x100871)),x100873))+E(f333(f333(f8(x100871,a880),f333(f333(f10(f890(x100872,a874),a880,x100871),f39(x100872)),f333(f333(f10(f890(x100872,a874),f890(x100872,a874),x100871),f255(x100872)),f333(f333(f10(f890(x100872,a874),f890(x100872,a874),x100871),f333(f20(x100872,a874,a874),f333(f333(f10(a874,f890(a874,a874),x100872),a331),f333(f333(f9(x100872,f890(x100872,a874),a874),f335(x100872)),x100873)))),x100874)))),x100875),f333(f333(f8(x100872,a880),x100876),x100873))
% 163.24/162.98 [10121]~P24(f333(f63(x101212),x101213))+~P24(f333(f63(x101211),x101215))+~E(f333(f39(x101211),f333(f255(x101211),f333(f333(f20(x101211,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101211),a331),f333(f333(f9(x101211,f890(x101211,a874),a874),f335(x101211)),x101215))),f333(f333(f9(x101211,x101212,a874),x101214),f571(x101216,x101214,x101213,x101212,x101215,x101211))))),x101216)+E(f333(f333(f8(x101211,a880),f333(f333(f10(f890(x101212,a874),a880,x101211),f39(x101212)),f333(f333(f10(f890(x101212,a874),f890(x101212,a874),x101211),f255(x101212)),f333(f333(f10(f890(x101212,a874),f890(x101212,a874),x101211),f333(f20(x101212,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101212),a331),f333(f333(f9(x101212,f890(x101212,a874),a874),f335(x101212)),x101213)))),x101214)))),x101215),f333(f333(f82(a880),x101216),f333(f39(x101212),x101213)))
% 163.24/162.98 [10140]~P24(f333(f63(x101402),x101403))+~P24(f333(f63(x101401),x101405))+~E(f333(f39(x101401),f333(f255(x101401),f333(f333(f20(x101401,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101401),a331),f333(f333(f9(x101401,f890(x101401,a874),a874),f335(x101401)),x101405))),f333(f333(f9(x101401,x101402,a874),x101404),f572(x101406,x101404,x101403,x101402,x101405,x101401))))),f333(x101406,f572(x101406,x101404,x101403,x101402,x101405,x101401)))+E(f333(f333(f8(x101401,a880),f333(f333(f10(f890(x101402,a874),a880,x101401),f39(x101402)),f333(f333(f10(f890(x101402,a874),f890(x101402,a874),x101401),f255(x101402)),f333(f333(f10(f890(x101402,a874),f890(x101402,a874),x101401),f333(f20(x101402,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101402),a331),f333(f333(f9(x101402,f890(x101402,a874),a874),f335(x101402)),x101403)))),x101404)))),x101405),f333(f333(f8(x101402,a880),x101406),x101403))
% 163.24/162.98 [9793]E(x97931,x97932)+~P12(x97933,x97934,x97935)+~P24(f333(f68(x97933,x97934,x97935,x97936,x97937),x97932))+~P24(f333(f68(x97933,x97934,x97935,x97936,x97937),x97931))
% 163.24/162.98 [9560]P24(f333(x95601,x95602))+~P24(f333(f333(f335(x95607),x95602),f333(x95606,x95604)))+~P24(f333(x95601,f543(x95601,x95606,x95605,x95603,x95607)))+~P24(f333(f333(f335(x95603),x95604),x95605))
% 163.24/162.98 [10002]~P12(x100027,x100026,x100021)+E(f333(f333(x100021,x100022),f736(x100022,x100023,x100024,x100025,x100021,x100026,x100027)),x100023)+~P24(f333(f68(x100027,x100026,x100021,x100025,x100024),x100023))+~P24(f333(f333(f335(x100027),x100022),x100024))
% 163.24/162.98 [10061]~P12(x100611,x100612,x100613)+~P24(f333(f68(x100611,x100612,x100613,x100614,x100615),x100617))+P24(f333(f68(x100611,x100612,x100613,x100614,f333(f333(f3(f890(x100611,a874)),x100615),f333(f333(f311(x100611),x100616),f194(f890(x100611,a874))))),f736(x100616,x100617,x100615,x100614,x100613,x100612,x100611)))+~P24(f333(f333(f335(x100611),x100616),x100615))
% 163.24/162.98 [9445]~P73(x94451)+~P21(x94455,x94452,x94456,x94457)+~P24(f333(f63(x94455),x94457))+E(f333(f333(f333(f67(x94451,x94452,f82(x94451)),x94453),x94454),f333(f312(x94455,x94452,x94456),x94457)),f333(f333(f333(f67(x94451,x94455,f82(x94451)),f333(f74(x94452,x94451,x94455,x94453),x94456)),x94454),x94457))
% 163.24/162.98 [9582]~E(f333(f333(f311(x95821),x95825),x95826),f333(f333(f311(x95821),x95822),x95823))+~P24(f333(f68(x95821,x95821,x95824,x95822,x95823),x95827))+P24(f333(f333(f335(x95821),x95822),x95823))+P24(f333(f64(x95821,x95824,f333(f333(f311(x95821),x95825),x95826)),x95827))
% 163.24/162.98 [9677]P24(f333(x96771,x96772))+~P24(f333(f333(f335(x96773),x96772),f333(x96774,x96777)))+~P24(f333(f333(f335(x96776),x96777),x96775))+P24(f333(f333(f335(x96773),f543(x96771,x96774,x96775,x96776,x96773)),f333(f333(f44(x96776,f890(x96773,a874)),x96775),x96774)))
% 163.24/162.98 [9692]~P21(x96922,x96921,x96925,x96924)+~P21(x96921,x96923,x96926,f333(f312(x96922,x96921,x96925),x96924))+E(f333(f333(f74(x96921,x96922,x96923,f78(x96922,x96921,x96924,x96925)),f78(x96921,x96923,f333(f312(x96922,x96921,x96925),x96924),x96926)),x96927),f333(f78(x96922,x96923,x96924,f333(f74(x96921,x96923,x96922,x96926),x96925)),x96927))+~P24(f333(f333(f335(x96923),x96927),f333(f312(x96921,x96923,x96926),f333(f312(x96922,x96921,x96925),x96924))))
% 163.24/162.98 [10003]~P12(x100037,x100036,x100031)+E(f333(f333(x100031,x100032),f830(x100033,x100034,x100032,x100035,x100031,x100036,x100037)),x100033)+P24(f333(f333(f335(x100037),x100032),x100034))+~P24(f333(f68(x100037,x100036,x100031,x100035,f333(f333(f311(x100037),x100032),x100034)),x100033))
% 163.24/162.98 [10060]~P12(x100601,x100604,x100605)+P24(f333(f68(x100601,x100604,x100605,x100606,x100603),f830(x100607,x100603,x100602,x100606,x100605,x100604,x100601)))+P24(f333(f333(f335(x100601),x100602),x100603))+~P24(f333(f68(x100601,x100604,x100605,x100606,f333(f333(f311(x100601),x100602),x100603)),x100607))
% 163.24/162.98 [9772]E(x97721,f2(a1))+~P24(f333(f50(x97723,x97721),f333(f333(f263(a1,a1),x97725),x97727)))+~P24(f333(f50(x97722,x97721),f333(f333(f263(a1,a1),x97724),x97726)))+P24(f333(f50(f333(f333(f81(a1),x97722),x97723),x97721),f333(f333(f263(a1,a1),f333(f333(f81(a1),f333(f333(f81(a1),x97724),x97725)),f333(f333(f40(a1),f333(f333(f81(a1),x97726),x97727)),x97721))),f46(a1,f333(f333(f81(a1),x97726),x97727),x97721))))
% 163.24/162.98 [9774]~P24(f333(f333(f251(a880),f2(a880)),x97743))+~P24(f333(f49(x97742,x97743),f333(f333(f263(a880,a880),x97745),x97747)))+~P24(f333(f49(x97741,x97743),f333(f333(f263(a880,a880),x97744),x97746)))+P24(f333(f49(f333(f333(f81(a880),x97741),x97742),x97743),f333(f333(f263(a880,a880),f333(f333(f81(a880),f333(f333(f81(a880),x97744),x97745)),f333(f333(f40(a880),f333(f333(f81(a880),x97746),x97747)),x97743))),f46(a880,f333(f333(f81(a880),x97746),x97747),x97743))))
% 163.24/162.98 [10120]~P69(x101202)+~P24(f333(f63(x101203),x101205))+~P24(f333(f63(x101201),x101207))+E(f333(f333(f8(x101201,x101202),f333(f333(f20(x101201,f890(x101203,a874),x101202),f333(f333(f10(f890(x101203,x101202),f890(f890(x101203,a874),x101202),x101201),f8(x101203,x101202)),x101204)),f333(f333(f10(f890(x101203,a874),f890(x101203,a874),x101201),f255(x101203)),f333(f333(f10(f890(x101203,a874),f890(x101203,a874),x101201),f333(f20(x101203,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101203),a331),f333(f333(f9(x101203,f890(x101203,a874),a874),f335(x101203)),x101205)))),x101206)))),x101207),f333(f333(f8(x101203,x101202),f333(f333(f20(x101203,f890(x101201,a874),x101202),f333(f333(f10(f890(x101201,x101202),f890(f890(x101201,a874),x101202),x101203),f8(x101201,x101202)),f333(f9(x101201,x101203,x101202),x101204))),f333(f333(f10(f890(x101201,a874),f890(x101201,a874),x101203),f255(x101201)),f333(f333(f10(f890(x101201,a874),f890(x101201,a874),x101203),f333(f20(x101201,a874,a874),f333(f333(f10(a874,f890(a874,a874),x101201),a331),f333(f333(f9(x101201,f890(x101201,a874),a874),f335(x101201)),x101207)))),f333(f9(x101201,x101203,a874),x101206))))),x101205))
% 163.24/162.98 [9630]~P18(x96307,x96306,x96301,x96308,x96302,x96304)+E(f333(f333(x96301,f333(x96302,x96303)),f333(x96304,x96305)),f333(x96304,x96305))+~P24(f333(f63(x96306),x96305))+~P24(f333(f333(f335(x96306),x96303),x96305))
% 163.24/162.98 [9634]~P10(x96346,x96341,x96342,x96348,x96343,x96344)+~P6(x96346,x96347,x96348)+P9(x96341,x96342,x96343,f333(x96344,x96345))+~P24(f333(f333(f335(x96346),x96345),x96347))
% 163.24/162.98 [8062]~P32(x80628,x80627,f333(f333(f333(f93(x80628),x80624),x80626),x80621))+P24(f333(f333(x80621,x80622),x80623))+~P24(f333(f333(x80624,x80622),x80625))+~P24(f333(f333(f333(f333(a203,x80626),x80625),x80627),x80623))
% 163.24/162.98 [9231]~P15(x92317,x92311,x92318,x92313)+~P24(f333(f63(x92317),x92315))+~P24(f333(f63(x92317),x92314))+E(f333(f74(x92311,x92311,x92312,f333(x92313,x92314)),f333(f74(x92311,x92311,x92312,f333(x92313,x92315)),x92316)),f333(f74(x92311,x92311,x92312,f333(x92313,x92315)),f333(f74(x92311,x92311,x92312,f333(x92313,x92314)),x92316)))
% 163.24/162.98 [9239]~P37(x92391,x92392,x92393,x92394,x92397)+P37(x92391,x92392,x92393,f333(f333(f160(x92391,x92394),x92395),x92396),f333(f333(f160(x92392,x92397),x92395),x92398))+~P24(f333(f333(x92393,x92396),x92398))+~P24(f333(f333(f251(a880),x92395),f333(f195(f881(x92391)),x92394)))
% 163.24/162.98 [9240]~P37(x92401,x92402,x92403,x92404,x92407)+P37(x92401,x92402,x92403,f333(f333(f160(x92401,x92404),x92405),x92406),f333(f333(f160(x92402,x92407),x92405),x92408))+~P24(f333(f333(x92403,x92406),x92408))+~P24(f333(f333(f251(a880),x92405),f333(f195(f881(x92402)),x92407)))
% 163.24/162.98 [9322]~P21(x93222,x93222,x93225,x93226)+~P17(x93223,x93222,x93227,x93228,x93221)+~P24(f333(f63(x93222),x93226))+E(f333(f333(x93221,f333(f74(x93222,x93223,x93222,x93224),x93225)),x93226),f333(f333(x93221,x93224),f333(f312(x93222,x93222,x93225),x93226)))
% 163.24/162.98 [9632]~P19(x96327,x96322,x96325,x96328,x96326,x96321)+~P24(f333(f63(x96322),x96324))+E(f333(x96321,f333(f333(f311(x96322),x96323),x96324)),f333(f333(x96325,f333(x96326,x96323)),f333(x96321,x96324)))+P24(f333(f333(f335(x96322),x96323),x96324))
% 163.24/162.98 [9645]~P18(x96456,x96455,x96451,x96457,x96458,x96452)+E(f333(f333(x96451,f333(x96452,x96453)),f333(x96452,x96454)),f333(x96452,x96454))+~P24(f333(f63(x96455),x96454))+~P24(f333(f333(f250(f890(x96455,a874)),x96453),x96454))
% 163.24/162.98 [9217]P24(f333(f333(f335(f889(f881(x92171),f881(x92171))),f333(f333(f263(f881(x92171),f881(x92171)),x92172),x92173)),f158(x92171,x92174)))+~E(x92173,f333(f333(f127(x92171),x92175),f333(f333(f152(x92171),x92176),x92177)))+~E(x92172,f333(f333(f127(x92171),x92175),f333(f333(f152(x92171),x92178),x92177)))+~P24(f333(f333(f335(f889(x92171,x92171)),f333(f333(f263(x92171,x92171),x92178),x92176)),x92174))
% 163.24/162.98 [9641]~P18(x96416,x96412,x96415,x96417,x96418,x96411)+~P24(f333(f63(x96412),x96414))+~P24(f333(f63(x96412),x96413))+E(f333(x96411,f333(f333(f115(f890(x96412,a874)),x96413),x96414)),f333(f333(x96415,f333(x96411,x96413)),f333(x96411,x96414)))
% 163.24/162.98 [10188]~P21(x101884,x101882,x101885,x101888)+E(f333(f333(f43(x101881,f890(x101882,a874)),x101883),f333(f333(f10(f890(x101884,a874),f890(x101882,a874),x101881),f312(x101884,x101882,x101885)),x101886)),f333(f312(x101884,x101882,x101885),f333(f333(f43(x101881,f890(x101884,a874)),x101883),x101886)))+~P24(f333(f333(f335(x101881),x101887),x101883))+P24(f333(f333(f335(x101881),f534(x101887,x101886,x101883,x101881,x101888,x101885,x101882,x101884)),x101883))
% 163.24/162.98 [10218]~P21(x102184,x102182,x102185,x102187)+E(f333(f333(f43(x102181,f890(x102182,a874)),x102183),f333(f333(f10(f890(x102184,a874),f890(x102182,a874),x102181),f312(x102184,x102182,x102185)),x102186)),f333(f312(x102184,x102182,x102185),f333(f333(f43(x102181,f890(x102184,a874)),x102183),x102186)))+~P24(f333(f333(f335(x102181),x102188),x102183))+~P24(f333(f333(f250(f890(x102184,a874)),f333(x102186,f534(x102188,x102186,x102183,x102181,x102187,x102185,x102182,x102184))),x102187))
% 163.24/162.98 [9701]~P19(x97017,x97015,x97011,x97018,x97012,x97014)+~P24(f333(f63(x97015),x97016))+~P24(f333(f333(f335(x97015),x97013),x97016))+E(f333(f333(x97011,f333(x97012,x97013)),f333(x97014,f333(f333(f3(f890(x97015,a874)),x97016),f333(f333(f311(x97015),x97013),f194(f890(x97015,a874)))))),f333(x97014,x97016))
% 163.24/162.98 [9709]~P19(x97096,x97093,x97091,x97097,x97098,x97092)+~P24(f333(f63(x97093),x97095))+~P24(f333(f63(x97093),x97094))+E(f333(f333(x97091,f333(x97092,f333(f333(f115(f890(x97093,a874)),x97094),x97095))),f333(x97092,f333(f333(f106(f890(x97093,a874)),x97094),x97095))),f333(f333(x97091,f333(x97092,x97094)),f333(x97092,x97095)))
% 163.24/162.98 [9812]P44(x98121,x98122,x98123,x98124,x98125,f333(f333(x98123,x98126),x98127))+~P44(x98121,x98122,x98123,x98124,f333(f333(f3(f890(x98121,a874)),x98125),f333(f333(f311(x98121),x98128),f194(f890(x98121,a874)))),x98129)+~E(f333(f333(x98123,x98126),x98127),f333(f333(x98123,x98128),x98129))+~P24(f333(f333(f335(x98121),x98128),x98125))
% 163.24/162.98 [10233]P20(x102331,x102332,f333(f333(f311(f879(x102331)),f333(f333(f333(f93(x102331),f333(x102333,f515(x102334,x102335,x102336,x102337,x102333,x102332,x102331,x102338,x102339))),f333(x102337,f515(x102334,x102335,x102336,x102337,x102333,x102332,x102331,x102338,x102339))),f333(x102336,f515(x102334,x102335,x102336,x102337,x102333,x102332,x102331,x102338,x102339)))),f194(f890(f879(x102331),a874))))+~P24(f333(f63(x102339),x102338))+~P20(x102331,x102332,f333(f312(x102339,f879(x102331),f333(f333(f20(x102339,f890(x102331,f890(a876,a874)),f879(x102331)),f333(f333(f20(x102339,a875,f890(f890(x102331,f890(a876,a874)),f879(x102331))),f333(f333(f10(f890(x102331,f890(a876,a874)),f890(a875,f890(f890(x102331,f890(a876,a874)),f879(x102331))),x102339),f93(x102331)),x102333)),x102337)),x102336)),x102338))+P20(x102331,x102332,f333(f312(x102339,f879(x102331),f333(f333(f20(x102339,f890(x102331,f890(a876,a874)),f879(x102331)),f333(f333(f20(x102339,a875,f890(f890(x102331,f890(a876,a874)),f879(x102331))),f333(f333(f10(f890(x102331,f890(a876,a874)),f890(a875,f890(f890(x102331,f890(a876,a874)),f879(x102331))),x102339),f93(x102331)),x102335)),x102337)),x102334)),x102338))
% 163.24/162.98 [10234]~P20(x102341,x102342,f333(f333(f311(f879(x102341)),f333(f333(f333(f93(x102341),f333(x102344,f515(x102346,x102344,x102348,x102345,x102349,x102342,x102341,x102347,x102343))),f333(x102345,f515(x102346,x102344,x102348,x102345,x102349,x102342,x102341,x102347,x102343))),f333(x102346,f515(x102346,x102344,x102348,x102345,x102349,x102342,x102341,x102347,x102343)))),f194(f890(f879(x102341),a874))))+~P24(f333(f63(x102343),x102347))+~P20(x102341,x102342,f333(f312(x102343,f879(x102341),f333(f333(f20(x102343,f890(x102341,f890(a876,a874)),f879(x102341)),f333(f333(f20(x102343,a875,f890(f890(x102341,f890(a876,a874)),f879(x102341))),f333(f333(f10(f890(x102341,f890(a876,a874)),f890(a875,f890(f890(x102341,f890(a876,a874)),f879(x102341))),x102343),f93(x102341)),x102349)),x102345)),x102348)),x102347))+P20(x102341,x102342,f333(f312(x102343,f879(x102341),f333(f333(f20(x102343,f890(x102341,f890(a876,a874)),f879(x102341)),f333(f333(f20(x102343,a875,f890(f890(x102341,f890(a876,a874)),f879(x102341))),f333(f333(f10(f890(x102341,f890(a876,a874)),f890(a875,f890(f890(x102341,f890(a876,a874)),f879(x102341))),x102343),f93(x102341)),x102344)),x102345)),x102346)),x102347))
% 163.24/162.98 [9735]~P10(x97356,x97357,x97358,x97359,x973510,x97351)+E(f333(f333(x97351,x97352),x97353),f333(f333(x97351,x97354),x97355))+~P24(f333(f333(f335(f889(x97357,x97357)),f333(f333(f263(x97357,x97357),x97353),x97355)),x973510))+~P24(f333(f333(f335(f889(x97356,x97356)),f333(f333(f263(x97356,x97356),x97352),x97354)),x97359))
% 163.24/162.98 [9324]~P26(x93242)+E(x93241,f194(f890(x93242,a874)))+~P24(f333(f63(x93242),x93241))+P24(f333(f333(f335(x93242),f12(x93242,x93241)),x93241))+~P24(f333(f333(f335(x93242),f333(f333(f115(x93242),f537(x93241,x93242)),f542(x93241,x93242))),f333(f333(f311(x93242),f537(x93241,x93242)),f333(f333(f311(x93242),f542(x93241,x93242)),f194(f890(x93242,a874))))))
% 163.24/162.98 [9325]~P26(x93252)+E(x93251,f194(f890(x93252,a874)))+~P24(f333(f63(x93252),x93251))+P24(f333(f333(f335(x93252),f13(x93252,x93251)),x93251))+~P24(f333(f333(f335(x93252),f333(f333(f106(x93252),f630(x93251,x93252)),f638(x93251,x93252))),f333(f333(f311(x93252),f630(x93251,x93252)),f333(f333(f311(x93252),f638(x93251,x93252)),f194(f890(x93252,a874))))))
% 163.24/162.98 [9361]~P73(x93612)+E(x93611,f194(f890(x93612,a874)))+~P24(f333(f63(x93612),x93611))+P24(f333(f333(f335(x93612),f333(f65(x93612,f82(x93612)),x93611)),x93611))+~P24(f333(f333(f335(x93612),f333(f333(f82(x93612),f839(x93611,x93612)),f840(x93611,x93612))),f333(f333(f311(x93612),f839(x93611,x93612)),f333(f333(f311(x93612),f840(x93611,x93612)),f194(f890(x93612,a874))))))
% 163.24/162.98 [9367]~P109(x93672)+E(x93671,f194(f890(x93672,a874)))+~P24(f333(f63(x93672),x93671))+P24(f333(f333(f335(x93672),f14(x93672,f248(x93672),x93671)),x93671))+~P24(f333(f333(f335(x93672),f333(f333(f248(x93672),f469(x93671,x93672)),f470(x93671,x93672))),f333(f333(f311(x93672),f469(x93671,x93672)),f333(f333(f311(x93672),f470(x93671,x93672)),f194(f890(x93672,a874))))))
% 163.24/162.98 [9368]~P109(x93682)+E(x93681,f194(f890(x93682,a874)))+~P24(f333(f63(x93682),x93681))+P24(f333(f333(f335(x93682),f15(x93682,f249(x93682),x93681)),x93681))+~P24(f333(f333(f335(x93682),f333(f333(f249(x93682),f482(x93681,x93682)),f488(x93681,x93682))),f333(f333(f311(x93682),f482(x93681,x93682)),f333(f333(f311(x93682),f488(x93681,x93682)),f194(f890(x93682,a874))))))
% 163.24/162.98 [6525]~P89(x65252)+E(x65251,f2(x65252))+~E(f333(f333(f81(x65252),x65253),x65251),f2(x65252))+~P24(f333(f333(f250(x65252),f2(x65252)),x65253))+~P24(f333(f333(f250(x65252),f2(x65252)),x65251))
% 163.24/162.98 [6526]~P89(x65262)+E(x65261,f2(x65262))+~E(f333(f333(f81(x65262),x65261),x65263),f2(x65262))+~P24(f333(f333(f250(x65262),f2(x65262)),x65263))+~P24(f333(f333(f250(x65262),f2(x65262)),x65261))
% 163.24/162.98 [7050]~P109(x70502)+~P31(x70502,x70501)+E(x70501,f118(x70502))+~P24(f333(f333(f335(x70502),x70503),f333(f173(x70502),f645(x70501,x70502))))+P24(f333(f333(f250(x70502),f678(x70501,x70502)),x70503))
% 163.24/162.98 [7215]~P109(x72151)+E(f16(x72151,x72152),x72153)+~P24(f333(f63(x72151),x72152))+~P24(f333(f333(f250(x72151),x72153),f473(x72153,x72152,x72151)))+~P24(f333(f333(f335(x72151),x72153),x72152))
% 163.24/162.98 [7246]~P109(x72461)+~P31(x72461,x72462)+~P31(x72461,x72463)+P31(x72461,f333(f333(f127(x72461),x72462),x72463))+P24(f333(f333(f335(x72461),f651(x72463,x72462,x72461)),f333(f173(x72461),x72462)))
% 163.24/162.98 [7247]~P109(x72471)+~P31(x72471,x72472)+~P31(x72471,x72473)+P31(x72471,f333(f333(f127(x72471),x72472),x72473))+P24(f333(f333(f335(x72471),f653(x72473,x72472,x72471)),f333(f173(x72471),x72473)))
% 163.24/162.98 [7301]~P109(x73011)+E(f16(x73011,x73012),x73013)+~P24(f333(f63(x73011),x73012))+P24(f333(f333(f335(x73011),f473(x73013,x73012,x73011)),x73012))+~P24(f333(f333(f335(x73011),x73013),x73012))
% 163.24/162.98 [7302]~P109(x73021)+E(f17(x73021,x73022),x73023)+~P24(f333(f63(x73021),x73022))+P24(f333(f333(f335(x73021),f479(x73023,x73022,x73021)),x73022))+~P24(f333(f333(f335(x73021),x73023),x73022))
% 163.24/162.98 [7866]~P109(x78661)+E(f17(x78661,x78662),x78663)+~P24(f333(f63(x78661),x78662))+~P24(f333(f333(f335(x78661),x78663),x78662))+~P24(f333(f333(f250(x78661),f479(x78663,x78662,x78661)),x78663))
% 163.24/162.98 [8197]~P109(x81971)+~P31(x81971,x81972)+~P31(x81971,x81973)+P31(x81971,f333(f333(f127(x81971),x81972),x81973))+~P24(f333(f333(f250(x81971),f651(x81973,x81972,x81971)),f653(x81973,x81972,x81971)))
% 163.24/162.98 [8968]~P26(x89682)+E(x89681,f194(f890(x89682,a874)))+~E(f333(f333(f115(x89682),f333(x89683,f797(x89681,x89683,x89682))),f333(x89683,f805(x89681,x89683,x89682))),f333(x89683,f333(f333(f115(x89682),f797(x89681,x89683,x89682)),f805(x89681,x89683,x89682))))+E(f12(x89682,f333(f312(x89682,x89682,x89683),x89681)),f333(x89683,f12(x89682,x89681)))+~P24(f333(f63(x89682),x89681))
% 163.24/162.98 [8969]~P26(x89692)+E(x89691,f194(f890(x89692,a874)))+~E(f333(f333(f106(x89692),f333(x89693,f772(x89691,x89693,x89692))),f333(x89693,f773(x89691,x89693,x89692))),f333(x89693,f333(f333(f106(x89692),f772(x89691,x89693,x89692)),f773(x89691,x89693,x89692))))+E(f13(x89692,f333(f312(x89692,x89692,x89693),x89691)),f333(x89693,f13(x89692,x89691)))+~P24(f333(f63(x89692),x89691))
% 163.24/162.98 [8970]~P109(x89702)+E(x89701,f194(f890(x89702,a874)))+~E(f333(f333(f248(x89702),f333(x89703,f474(x89701,x89703,x89702))),f333(x89703,f477(x89701,x89703,x89702))),f333(x89703,f333(f333(f248(x89702),f474(x89701,x89703,x89702)),f477(x89701,x89703,x89702))))+E(f16(x89702,f333(f312(x89702,x89702,x89703),x89701)),f333(x89703,f16(x89702,x89701)))+~P24(f333(f63(x89702),x89701))
% 163.24/162.98 [8971]~P109(x89712)+E(x89711,f194(f890(x89712,a874)))+~E(f333(f333(f249(x89712),f333(x89713,f486(x89711,x89713,x89712))),f333(x89713,f490(x89711,x89713,x89712))),f333(x89713,f333(f333(f249(x89712),f486(x89711,x89713,x89712)),f490(x89711,x89713,x89712))))+E(f17(x89712,f333(f312(x89712,x89712,x89713),x89711)),f333(x89713,f17(x89712,x89711)))+~P24(f333(f63(x89712),x89711))
% 163.24/162.98 [9035]~P109(x90352)+E(x90351,f194(f890(x90352,a874)))+~E(f333(f333(f248(x90352),f333(x90353,f475(x90351,x90353,x90352))),f333(x90353,f476(x90351,x90353,x90352))),f333(x90353,f333(f333(f248(x90352),f475(x90351,x90353,x90352)),f476(x90351,x90353,x90352))))+E(f14(x90352,f248(x90352),f333(f312(x90352,x90352,x90353),x90351)),f333(x90353,f14(x90352,f248(x90352),x90351)))+~P24(f333(f63(x90352),x90351))
% 163.24/162.98 [9036]~P109(x90362)+E(x90361,f194(f890(x90362,a874)))+~E(f333(f333(f249(x90362),f333(x90363,f487(x90361,x90363,x90362))),f333(x90363,f489(x90361,x90363,x90362))),f333(x90363,f333(f333(f249(x90362),f487(x90361,x90363,x90362)),f489(x90361,x90363,x90362))))+E(f15(x90362,f249(x90362),f333(f312(x90362,x90362,x90363),x90361)),f333(x90363,f15(x90362,f249(x90362),x90361)))+~P24(f333(f63(x90362),x90361))
% 163.24/162.98 [6543]~P73(x65432)+E(x65431,f194(f890(x65432,a874)))+~P24(f333(f63(x65432),x65431))+E(f333(f65(x65432,f82(x65432)),f333(f333(f311(x65432),x65433),x65431)),f333(f333(f82(x65432),x65433),f333(f65(x65432,f82(x65432)),x65431)))+P24(f333(f333(f335(x65432),x65433),x65431))
% 163.24/162.98 [7056]~P26(x70562)+E(f333(f333(f115(x70562),f12(x70562,x70561)),f12(x70562,x70563)),f12(x70562,x70563))+E(x70561,f194(f890(x70562,a874)))+~P24(f333(f63(x70562),x70563))+~P24(f333(f333(f250(f890(x70562,a874)),x70561),x70563))
% 163.24/162.98 [7057]~P26(x70572)+E(f333(f333(f106(x70572),f13(x70572,x70571)),f13(x70572,x70573)),f13(x70572,x70573))+E(x70571,f194(f890(x70572,a874)))+~P24(f333(f63(x70572),x70573))+~P24(f333(f333(f250(f890(x70572,a874)),x70571),x70573))
% 163.24/162.98 [7058]~P109(x70582)+E(f333(f333(f248(x70582),f16(x70582,x70581)),f16(x70582,x70583)),f16(x70582,x70583))+E(x70581,f194(f890(x70582,a874)))+~P24(f333(f63(x70582),x70583))+~P24(f333(f333(f250(f890(x70582,a874)),x70581),x70583))
% 163.24/162.98 [7059]~P109(x70592)+E(f333(f333(f249(x70592),f17(x70592,x70591)),f17(x70592,x70593)),f17(x70592,x70593))+E(x70591,f194(f890(x70592,a874)))+~P24(f333(f63(x70592),x70593))+~P24(f333(f333(f250(f890(x70592,a874)),x70591),x70593))
% 163.24/162.98 [7346]~P109(x73462)+E(x73461,f194(f890(x73462,a874)))+~P24(f333(f63(x73462),x73463))+P24(f333(f333(f250(x73462),f16(x73462,x73463)),f16(x73462,x73461)))+~P24(f333(f333(f250(f890(x73462,a874)),x73461),x73463))
% 163.24/162.98 [7347]~P109(x73472)+E(x73471,f194(f890(x73472,a874)))+~P24(f333(f63(x73472),x73473))+P24(f333(f333(f250(x73472),f17(x73472,x73471)),f17(x73472,x73473)))+~P24(f333(f333(f250(f890(x73472,a874)),x73471),x73473))
% 163.24/162.98 [7404]~P26(x74041)+E(f12(x74041,x74042),x74043)+~P24(f333(f63(x74041),x74042))+~E(f333(f333(f3(f890(x74041,a874)),x74042),f333(f333(f311(x74041),x74043),f194(f890(x74041,a874)))),f194(f890(x74041,a874)))+~P24(f333(f333(f335(x74041),x74043),x74042))
% 163.24/162.98 [7405]~P26(x74051)+E(f13(x74051,x74052),x74053)+~P24(f333(f63(x74051),x74052))+~E(f333(f333(f3(f890(x74051,a874)),x74052),f333(f333(f311(x74051),x74053),f194(f890(x74051,a874)))),f194(f890(x74051,a874)))+~P24(f333(f333(f335(x74051),x74053),x74052))
% 163.24/162.98 [7406]~P109(x74061)+E(f16(x74061,x74062),x74063)+~P24(f333(f63(x74061),x74062))+~E(f333(f333(f3(f890(x74061,a874)),x74062),f333(f333(f311(x74061),x74063),f194(f890(x74061,a874)))),f194(f890(x74061,a874)))+~P24(f333(f333(f335(x74061),x74063),x74062))
% 163.24/162.98 [7407]~P109(x74071)+E(f17(x74071,x74072),x74073)+~P24(f333(f63(x74071),x74072))+~E(f333(f333(f3(f890(x74071,a874)),x74072),f333(f333(f311(x74071),x74073),f194(f890(x74071,a874)))),f194(f890(x74071,a874)))+~P24(f333(f333(f335(x74071),x74073),x74072))
% 163.24/162.98 [7503]~P109(x75031)+E(f14(x75031,f248(x75031),x75032),x75033)+~P24(f333(f63(x75031),x75032))+~E(f333(f333(f3(f890(x75031,a874)),x75032),f333(f333(f311(x75031),x75033),f194(f890(x75031,a874)))),f194(f890(x75031,a874)))+~P24(f333(f333(f335(x75031),x75033),x75032))
% 163.24/162.98 [7504]~P109(x75041)+E(f15(x75041,f249(x75041),x75042),x75043)+~P24(f333(f63(x75041),x75042))+~E(f333(f333(f3(f890(x75041,a874)),x75042),f333(f333(f311(x75041),x75043),f194(f890(x75041,a874)))),f194(f890(x75041,a874)))+~P24(f333(f333(f335(x75041),x75043),x75042))
% 163.24/162.98 [7540]~P109(x75402)+E(x75401,f194(f890(x75402,a874)))+~P24(f333(f63(x75402),x75401))+~P24(f333(f333(f251(x75402),x75403),f464(x75403,x75401,x75402)))+P24(f333(f333(f251(x75402),x75403),f333(f65(x75402,f248(x75402)),x75401)))
% 163.24/162.98 [7541]~P102(x75412)+E(x75411,f194(f890(x75412,a874)))+~P24(f333(f63(x75412),x75411))+~P24(f333(f333(f250(x75412),x75413),f352(x75413,x75411,x75412)))+P24(f333(f333(f250(x75412),x75413),f333(f65(x75412,f106(x75412)),x75411)))
% 163.24/162.98 [7542]~P109(x75422)+E(x75421,f194(f890(x75422,a874)))+~P24(f333(f63(x75422),x75421))+~P24(f333(f333(f250(x75422),x75423),f465(x75423,x75421,x75422)))+P24(f333(f333(f250(x75422),x75423),f333(f65(x75422,f248(x75422)),x75421)))
% 163.24/162.98 [7624]~P102(x76242)+E(x76241,f194(f890(x76242,a874)))+~P24(f333(f63(x76242),x76241))+P24(f333(f333(f335(x76242),f352(x76243,x76241,x76242)),x76241))+P24(f333(f333(f250(x76242),x76243),f333(f65(x76242,f106(x76242)),x76241)))
% 163.24/162.98 [7625]~P109(x76252)+E(x76251,f194(f890(x76252,a874)))+~P24(f333(f63(x76252),x76251))+P24(f333(f333(f335(x76252),f465(x76253,x76251,x76252)),x76251))+P24(f333(f333(f250(x76252),x76253),f333(f65(x76252,f248(x76252)),x76251)))
% 163.24/162.98 [7626]~P109(x76262)+E(x76261,f194(f890(x76262,a874)))+~P24(f333(f63(x76262),x76261))+P24(f333(f333(f335(x76262),f464(x76263,x76261,x76262)),x76261))+P24(f333(f333(f251(x76262),x76263),f333(f65(x76262,f248(x76262)),x76261)))
% 163.24/162.98 [7747]~P109(x77472)+E(x77471,f194(f890(x77472,a874)))+E(f333(f333(f248(x77472),f14(x77472,f248(x77472),x77471)),f14(x77472,f248(x77472),x77473)),f14(x77472,f248(x77472),x77473))+~P24(f333(f63(x77472),x77473))+~P24(f333(f333(f250(f890(x77472,a874)),x77471),x77473))
% 163.24/162.98 [7748]~P109(x77482)+E(x77481,f194(f890(x77482,a874)))+E(f333(f333(f249(x77482),f15(x77482,f249(x77482),x77481)),f15(x77482,f249(x77482),x77483)),f15(x77482,f249(x77482),x77483))+~P24(f333(f63(x77482),x77483))+~P24(f333(f333(f250(f890(x77482,a874)),x77481),x77483))
% 163.24/162.98 [7941]~E(f376(x79411,x79413,x79412),f377(x79411,x79413,x79412))+~E(f333(f39(x79412),f378(x79411,x79413,x79412)),x79411)+E(f333(f333(f82(a880),x79411),f333(f39(f890(x79412,a874)),x79413)),f333(f39(x79412),f41(f890(x79412,a874),x79413)))+~P24(f333(f63(x79412),f41(f890(x79412,a874),x79413)))+~P24(f333(f63(f890(x79412,a874)),x79413))
% 163.24/162.98 [8129]~P109(x81292)+E(x81291,f194(f890(x81292,a874)))+~P24(f333(f63(x81292),x81293))+P24(f333(f333(f250(x81292),f333(f65(x81292,f248(x81292)),x81293)),f333(f65(x81292,f248(x81292)),x81291)))+~P24(f333(f333(f250(f890(x81292,a874)),x81291),x81293))
% 163.24/162.98 [8431]~E(f376(x84311,x84313,x84312),f377(x84311,x84313,x84312))+E(f333(f333(f82(a880),x84311),f333(f39(f890(x84312,a874)),x84313)),f333(f39(x84312),f41(f890(x84312,a874),x84313)))+P24(f333(f333(f335(f890(x84312,a874)),f378(x84311,x84313,x84312)),x84313))+~P24(f333(f63(x84312),f41(f890(x84312,a874),x84313)))+~P24(f333(f63(f890(x84312,a874)),x84313))
% 163.24/162.98 [8460]~E(f333(f39(x84602),f378(x84601,x84603,x84602)),x84601)+E(f333(f333(f82(a880),x84601),f333(f39(f890(x84602,a874)),x84603)),f333(f39(x84602),f41(f890(x84602,a874),x84603)))+P24(f333(f333(f335(f890(x84602,a874)),f377(x84601,x84603,x84602)),x84603))+~P24(f333(f63(x84602),f41(f890(x84602,a874),x84603)))+~P24(f333(f63(f890(x84602,a874)),x84603))
% 163.24/162.98 [8461]~E(f333(f39(x84612),f378(x84611,x84613,x84612)),x84611)+E(f333(f333(f82(a880),x84611),f333(f39(f890(x84612,a874)),x84613)),f333(f39(x84612),f41(f890(x84612,a874),x84613)))+P24(f333(f333(f335(f890(x84612,a874)),f376(x84611,x84613,x84612)),x84613))+~P24(f333(f63(x84612),f41(f890(x84612,a874),x84613)))+~P24(f333(f63(f890(x84612,a874)),x84613))
% 163.24/162.98 [8487]~E(f333(f39(x84872),f378(x84871,x84873,x84872)),x84871)+~E(f333(f333(f106(f890(x84872,a874)),f377(x84871,x84873,x84872)),f376(x84871,x84873,x84872)),f194(f890(x84872,a874)))+E(f333(f333(f82(a880),x84871),f333(f39(f890(x84872,a874)),x84873)),f333(f39(x84872),f41(f890(x84872,a874),x84873)))+~P24(f333(f63(f890(x84872,a874)),x84873))+~P24(f333(f63(x84872),f41(f890(x84872,a874),x84873)))
% 163.24/162.98 [8725]E(f333(f333(f82(a880),x87251),f333(f39(f890(x87252,a874)),x87253)),f333(f39(x87252),f41(f890(x87252,a874),x87253)))+P24(f333(f333(f335(f890(x87252,a874)),f378(x87251,x87253,x87252)),x87253))+P24(f333(f333(f335(f890(x87252,a874)),f377(x87251,x87253,x87252)),x87253))+~P24(f333(f63(f890(x87252,a874)),x87253))+~P24(f333(f63(x87252),f41(f890(x87252,a874),x87253)))
% 163.24/162.98 [8726]E(f333(f333(f82(a880),x87261),f333(f39(f890(x87262,a874)),x87263)),f333(f39(x87262),f41(f890(x87262,a874),x87263)))+P24(f333(f333(f335(f890(x87262,a874)),f378(x87261,x87263,x87262)),x87263))+P24(f333(f333(f335(f890(x87262,a874)),f376(x87261,x87263,x87262)),x87263))+~P24(f333(f63(f890(x87262,a874)),x87263))+~P24(f333(f63(x87262),f41(f890(x87262,a874),x87263)))
% 163.24/162.98 [8751]~E(f333(f333(f106(f890(x87512,a874)),f377(x87511,x87513,x87512)),f376(x87511,x87513,x87512)),f194(f890(x87512,a874)))+E(f333(f333(f82(a880),x87511),f333(f39(f890(x87512,a874)),x87513)),f333(f39(x87512),f41(f890(x87512,a874),x87513)))+~P24(f333(f63(f890(x87512,a874)),x87513))+P24(f333(f333(f335(f890(x87512,a874)),f378(x87511,x87513,x87512)),x87513))+~P24(f333(f63(x87512),f41(f890(x87512,a874),x87513)))
% 163.24/162.98 [9014]~P97(x90142)+E(x90141,f194(f890(x90142,a874)))+~E(f333(f333(f82(x90142),f333(x90143,f837(x90141,x90143,x90142))),f333(x90143,f841(x90141,x90143,x90142))),f333(x90143,f333(f333(f82(x90142),f837(x90141,x90143,x90142)),f841(x90141,x90143,x90142))))+~P24(f333(f63(x90142),x90141))+E(f333(f65(x90142,f82(x90142)),f333(f312(x90142,x90142,x90143),x90141)),f333(x90143,f333(f65(x90142,f82(x90142)),x90141)))
% 163.24/162.98 [10137]P24(f333(f333(x101371,x101372),x101373))+P24(f333(f333(f251(a1),f507(x101371,x101373,x101372)),f508(x101371,x101373,x101372)))+P24(f333(f333(f250(a1),f508(x101371,x101373,x101372)),f2(a1)))+P24(f333(f333(x101371,f507(x101371,x101373,x101372)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f508(x101371,x101373,x101372))))+~P24(f333(f321(f889(a1,a1),a58),f333(f333(f263(a1,a1),x101372),x101373)))
% 163.24/162.98 [10138]P24(f333(f333(x101381,x101382),x101383))+P24(f333(f333(f250(a1),f506(x101381,x101383,x101382)),f2(a1)))+P24(f333(f333(x101381,f505(x101381,x101383,x101382)),f333(f333(f82(a1),f333(f108(a1),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f506(x101381,x101383,x101382))))+P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),f505(x101381,x101383,x101382)),f506(x101381,x101383,x101382))))+~P24(f333(f321(f889(a1,a1),a53),f333(f333(f263(a1,a1),x101382),x101383)))
% 163.24/162.98 [7911]~P120(x79111)+~P24(f333(f333(f250(x79111),x79112),f79(x79111)))+~P24(f333(f333(f250(x79111),f2(x79111)),x79112))+~P24(f333(f333(f250(x79111),f2(x79111)),x79113))+P24(f333(f333(f250(x79111),f333(f333(f82(x79111),x79112),x79113)),x79113))
% 163.24/162.98 [7912]~P120(x79121)+~P24(f333(f333(f250(x79121),x79123),f79(x79121)))+~P24(f333(f333(f250(x79121),f2(x79121)),x79123))+~P24(f333(f333(f250(x79121),f2(x79121)),x79122))+P24(f333(f333(f250(x79121),f333(f333(f82(x79121),x79122),x79123)),x79122))
% 163.24/162.98 [8278]~P109(x82782)+E(x82781,f194(f890(x82782,a874)))+~P24(f333(f63(x82782),x82781))+P24(f333(f333(f335(x82782),f466(x82783,x82781,x82782)),x82781))+~P24(f333(f333(f250(x82782),f333(f65(x82782,f248(x82782)),x82781)),x82783))
% 163.24/162.98 [8279]~P109(x82792)+E(x82791,f194(f890(x82792,a874)))+~P24(f333(f63(x82792),x82791))+P24(f333(f333(f335(x82792),f467(x82793,x82791,x82792)),x82791))+~P24(f333(f333(f251(x82792),f333(f65(x82792,f248(x82792)),x82791)),x82793))
% 163.24/162.98 [8280]~P109(x82802)+E(x82801,f194(f890(x82802,a874)))+~P24(f333(f63(x82802),x82801))+P24(f333(f333(f251(x82802),f467(x82803,x82801,x82802)),x82803))+~P24(f333(f333(f251(x82802),f333(f65(x82802,f248(x82802)),x82801)),x82803))
% 163.24/162.98 [8281]~P109(x82812)+E(x82811,f194(f890(x82812,a874)))+~P24(f333(f63(x82812),x82811))+P24(f333(f333(f250(x82812),f466(x82813,x82811,x82812)),x82813))+~P24(f333(f333(f250(x82812),f333(f65(x82812,f248(x82812)),x82811)),x82813))
% 163.24/162.98 [8363]~P24(f333(x83631,x83633))+P24(f333(x83631,f445(x83631,x83632)))+P24(f333(x83631,f431(x83631,x83632)))+~P24(f333(f333(f251(a1),f2(a1)),x83632))+P24(f333(x83631,f333(f333(f3(a1),f431(x83631,x83632)),f333(f333(f82(a1),f446(x83631,x83632)),x83632))))
% 163.24/162.98 [8585]~P24(f333(x85851,x85853))+P24(f333(x85851,f431(x85851,x85852)))+~P24(f333(f333(f251(a1),f2(a1)),x85852))+P24(f333(f333(f335(a1),f445(x85851,x85852)),f304(a1,f79(a1),x85852)))+P24(f333(x85851,f333(f333(f3(a1),f431(x85851,x85852)),f333(f333(f82(a1),f446(x85851,x85852)),x85852))))
% 163.24/162.98 [8771]~P24(f333(x87711,x87713))+~P24(f333(x87711,f431(x87711,x87712)))+P24(f333(x87711,f445(x87711,x87712)))+~P24(f333(f333(f251(a1),f2(a1)),x87712))+~P24(f333(x87711,f333(f333(f3(a1),f431(x87711,x87712)),f333(f333(f82(a1),f446(x87711,x87712)),x87712))))
% 163.24/162.98 [8901]~P24(f333(x89011,x89013))+~P24(f333(x89011,f431(x89011,x89012)))+~P24(f333(f333(f251(a1),f2(a1)),x89012))+P24(f333(f333(f335(a1),f445(x89011,x89012)),f304(a1,f79(a1),x89012)))+~P24(f333(x89011,f333(f333(f3(a1),f431(x89011,x89012)),f333(f333(f82(a1),f446(x89011,x89012)),x89012))))
% 163.24/162.98 [8683]~P26(x86831)+~P24(f333(f63(x86831),x86832))+E(f333(f333(f3(f890(x86831,a874)),x86832),f333(f333(f311(x86831),x86833),f194(f890(x86831,a874)))),f194(f890(x86831,a874)))+~P24(f333(f333(f335(x86831),x86833),x86832))+E(f333(f333(f115(x86831),x86833),f12(x86831,f333(f333(f3(f890(x86831,a874)),x86832),f333(f333(f311(x86831),x86833),f194(f890(x86831,a874)))))),f12(x86831,x86832))
% 163.24/162.98 [8684]~P26(x86841)+~P24(f333(f63(x86841),x86842))+E(f333(f333(f3(f890(x86841,a874)),x86842),f333(f333(f311(x86841),x86843),f194(f890(x86841,a874)))),f194(f890(x86841,a874)))+~P24(f333(f333(f335(x86841),x86843),x86842))+E(f333(f333(f106(x86841),x86843),f13(x86841,f333(f333(f3(f890(x86841,a874)),x86842),f333(f333(f311(x86841),x86843),f194(f890(x86841,a874)))))),f13(x86841,x86842))
% 163.24/162.98 [8685]~P109(x86851)+~P24(f333(f63(x86851),x86852))+E(f333(f333(f3(f890(x86851,a874)),x86852),f333(f333(f311(x86851),x86853),f194(f890(x86851,a874)))),f194(f890(x86851,a874)))+~P24(f333(f333(f335(x86851),x86853),x86852))+E(f333(f333(f248(x86851),x86853),f16(x86851,f333(f333(f3(f890(x86851,a874)),x86852),f333(f333(f311(x86851),x86853),f194(f890(x86851,a874)))))),f16(x86851,x86852))
% 163.24/162.98 [8686]~P109(x86861)+~P24(f333(f63(x86861),x86862))+E(f333(f333(f3(f890(x86861,a874)),x86862),f333(f333(f311(x86861),x86863),f194(f890(x86861,a874)))),f194(f890(x86861,a874)))+~P24(f333(f333(f335(x86861),x86863),x86862))+E(f333(f333(f249(x86861),x86863),f17(x86861,f333(f333(f3(f890(x86861,a874)),x86862),f333(f333(f311(x86861),x86863),f194(f890(x86861,a874)))))),f17(x86861,x86862))
% 163.24/162.98 [8743]~P109(x87431)+~P24(f333(f63(x87431),x87432))+E(f333(f333(f3(f890(x87431,a874)),x87432),f333(f333(f311(x87431),x87433),f194(f890(x87431,a874)))),f194(f890(x87431,a874)))+~P24(f333(f333(f335(x87431),x87433),x87432))+E(f333(f333(f248(x87431),x87433),f14(x87431,f248(x87431),f333(f333(f3(f890(x87431,a874)),x87432),f333(f333(f311(x87431),x87433),f194(f890(x87431,a874)))))),f14(x87431,f248(x87431),x87432))
% 163.24/162.98 [8744]~P109(x87441)+~P24(f333(f63(x87441),x87442))+E(f333(f333(f3(f890(x87441,a874)),x87442),f333(f333(f311(x87441),x87443),f194(f890(x87441,a874)))),f194(f890(x87441,a874)))+~P24(f333(f333(f335(x87441),x87443),x87442))+E(f333(f333(f249(x87441),x87443),f15(x87441,f249(x87441),f333(f333(f3(f890(x87441,a874)),x87442),f333(f333(f311(x87441),x87443),f194(f890(x87441,a874)))))),f15(x87441,f249(x87441),x87442))
% 163.24/162.98 [8758]~P26(x87581)+~P24(f333(f63(x87581),x87583))+~P24(f333(f63(x87581),x87582))+E(f333(f333(f106(f890(x87581,a874)),x87582),x87583),f194(f890(x87581,a874)))+E(f333(f333(f115(x87581),f12(x87581,f333(f333(f115(f890(x87581,a874)),x87582),x87583))),f12(x87581,f333(f333(f106(f890(x87581,a874)),x87582),x87583))),f333(f333(f115(x87581),f12(x87581,x87582)),f12(x87581,x87583)))
% 163.24/162.98 [8759]~P26(x87591)+~P24(f333(f63(x87591),x87593))+~P24(f333(f63(x87591),x87592))+E(f333(f333(f106(f890(x87591,a874)),x87592),x87593),f194(f890(x87591,a874)))+E(f333(f333(f106(x87591),f13(x87591,f333(f333(f115(f890(x87591,a874)),x87592),x87593))),f13(x87591,f333(f333(f106(f890(x87591,a874)),x87592),x87593))),f333(f333(f106(x87591),f13(x87591,x87592)),f13(x87591,x87593)))
% 163.24/162.98 [8760]~P109(x87601)+~P24(f333(f63(x87601),x87603))+~P24(f333(f63(x87601),x87602))+E(f333(f333(f106(f890(x87601,a874)),x87602),x87603),f194(f890(x87601,a874)))+E(f333(f333(f248(x87601),f16(x87601,f333(f333(f115(f890(x87601,a874)),x87602),x87603))),f16(x87601,f333(f333(f106(f890(x87601,a874)),x87602),x87603))),f333(f333(f248(x87601),f16(x87601,x87602)),f16(x87601,x87603)))
% 163.24/162.98 [8761]~P109(x87611)+~P24(f333(f63(x87611),x87613))+~P24(f333(f63(x87611),x87612))+E(f333(f333(f106(f890(x87611,a874)),x87612),x87613),f194(f890(x87611,a874)))+E(f333(f333(f249(x87611),f17(x87611,f333(f333(f115(f890(x87611,a874)),x87612),x87613))),f17(x87611,f333(f333(f106(f890(x87611,a874)),x87612),x87613))),f333(f333(f249(x87611),f17(x87611,x87612)),f17(x87611,x87613)))
% 163.24/162.98 [8986]~P109(x89861)+~P24(f333(f63(x89861),x89863))+~P24(f333(f63(x89861),x89862))+E(f333(f333(f106(f890(x89861,a874)),x89862),x89863),f194(f890(x89861,a874)))+E(f333(f333(f248(x89861),f14(x89861,f248(x89861),f333(f333(f115(f890(x89861,a874)),x89862),x89863))),f14(x89861,f248(x89861),f333(f333(f106(f890(x89861,a874)),x89862),x89863))),f333(f333(f248(x89861),f14(x89861,f248(x89861),x89862)),f14(x89861,f248(x89861),x89863)))
% 163.24/162.98 [8987]~P109(x89871)+~P24(f333(f63(x89871),x89873))+~P24(f333(f63(x89871),x89872))+E(f333(f333(f106(f890(x89871,a874)),x89872),x89873),f194(f890(x89871,a874)))+E(f333(f333(f249(x89871),f15(x89871,f249(x89871),f333(f333(f115(f890(x89871,a874)),x89872),x89873))),f15(x89871,f249(x89871),f333(f333(f106(f890(x89871,a874)),x89872),x89873))),f333(f333(f249(x89871),f15(x89871,f249(x89871),x89872)),f15(x89871,f249(x89871),x89873)))
% 163.24/162.98 [10063]~P123(x100633)+E(x100631,x100632)+~P24(f333(f333(f250(x100633),f2(x100633)),x100632))+~P24(f333(f333(f250(x100633),f2(x100633)),x100631))+~E(f333(f333(f264(x100633),x100631),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))),f333(f333(f264(x100633),x100632),f333(f108(a880),f333(f333(f81(a1),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),f333(f333(f81(a1),f333(f333(f81(a1),f79(a1)),a84)),a84))),a102))))
% 163.24/162.98 [6346]E(f859(x63461,x63462,x63463),x63464)+E(f333(x63461,x63464),f2(a880))+~E(f333(f333(f8(x63463,a880),x63461),x63462),f79(a880))+~P24(f333(f63(x63463),x63462))+~P24(f333(f333(f335(x63463),x63464),x63462))
% 163.24/162.98 [6410]E(f861(x64101,x64102,x64103),x64104)+E(f333(x64101,x64104),f2(a880))+~E(f333(f333(f8(x64103,a880),x64101),x64102),f333(a117,f2(a880)))+~P24(f333(f63(x64103),x64102))+~P24(f333(f333(f335(x64103),x64104),x64102))
% 163.24/162.98 [6515]~P29(x65151)+~P109(x65151)+P24(f333(f333(f251(x65151),x65152),f41(x65151,x65153)))+~P24(f333(f333(f251(x65151),x65152),x65154))+~P24(f333(f333(f335(x65151),x65154),x65153))
% 163.24/162.98 [6685]~P29(x66851)+~P109(x66851)+~P24(f333(f333(f251(x66851),x66854),x66853))+P24(f333(f333(f251(x66851),f42(x66851,x66852)),x66853))+~P24(f333(f333(f335(x66851),x66854),x66852))
% 163.24/162.98 [6933]~P123(x69333)+E(x69331,x69332)+~E(f333(f333(f264(x69333),x69331),f333(a117,x69334)),f333(f333(f264(x69333),x69332),f333(a117,x69334)))+~P24(f333(f333(f250(x69333),f2(x69333)),x69332))+~P24(f333(f333(f250(x69333),f2(x69333)),x69331))
% 163.24/162.98 [7144]~E(f867(x71442,x71443,x71441,x71444),x71444)+~E(f333(x71442,x71444),f79(a880))+E(f333(f333(f8(x71441,a880),x71442),x71443),f79(a880))+~P24(f333(f63(x71441),x71443))+~P24(f333(f333(f335(x71441),x71444),x71443))
% 163.24/162.98 [7151]~P115(x71514)+~P127(x71514)+E(f333(x71511,f851(x71511,x71512,x71513,x71514)),f2(x71514))+~E(f333(f333(f11(x71513,x71514),x71511),x71512),f2(x71514))+~P24(f333(f63(x71513),x71512))
% 163.24/162.98 [7237]~E(f864(x72372,x72373,x72371,x72374),x72374)+~E(f333(x72372,x72374),f333(a117,f2(a880)))+E(f333(f333(f8(x72371,a880),x72372),x72373),f333(a117,f2(a880)))+~P24(f333(f63(x72371),x72373))+~P24(f333(f333(f335(x72371),x72374),x72373))
% 163.24/162.98 [7951]~E(f333(x79512,x79514),f79(a880))+~E(f333(x79512,f867(x79512,x79513,x79511,x79514)),f2(a880))+E(f333(f333(f8(x79511,a880),x79512),x79513),f79(a880))+~P24(f333(f63(x79511),x79513))+~P24(f333(f333(f335(x79511),x79514),x79513))
% 163.24/162.98 [7994]~E(f333(x79942,x79944),f333(a117,f2(a880)))+~E(f333(x79942,f864(x79942,x79943,x79941,x79944)),f2(a880))+E(f333(f333(f8(x79941,a880),x79942),x79943),f333(a117,f2(a880)))+~P24(f333(f63(x79941),x79943))+~P24(f333(f333(f335(x79941),x79944),x79943))
% 163.24/162.98 [8556]~P109(x85561)+~P31(x85561,x85564)+P31(x85561,x85562)+~E(x85562,f333(f333(f152(x85561),x85563),x85564))+~P24(f333(f333(f250(x85561),x85563),f682(x85562,x85561,x85564,x85563)))
% 163.24/162.98 [8589]E(x85891,x85892)+E(f333(f333(f3(a1),f433(x85893,x85892,x85894,x85891)),f434(x85893,x85892,x85894,x85891)),x85891)+~E(f333(f333(f81(a1),x85891),x85894),x85892)+~P24(f333(f333(f251(a1),f2(a1)),x85894))+~P24(f333(f333(f335(a1),x85892),x85893))
% 163.24/162.98 [8590]E(x85901,x85902)+E(f333(f333(f81(a1),f435(x85903,x85902,x85904,x85901)),f436(x85903,x85902,x85904,x85901)),x85901)+~E(f333(f333(f3(a1),x85901),x85904),x85902)+~P24(f333(f333(f251(a1),f2(a1)),x85904))+~P24(f333(f333(f335(a1),x85902),x85903))
% 163.24/162.98 [8756]E(f333(x87561,f460(x87562,x87561,x87563,x87564)),x87562)+P24(f333(f333(f250(a880),x87564),f461(x87562,x87561,x87563,x87564)))+~P24(f333(f333(f250(a1),x87562),f333(x87561,x87563)))+~P24(f333(f333(f251(a880),x87564),x87563))+~P24(f333(f333(f250(a1),f333(x87561,x87564)),x87562))
% 163.24/162.98 [8757]~P109(x87571)+~P31(x87571,x87573)+P31(x87571,x87572)+~E(x87572,f333(f333(f152(x87571),x87574),x87573))+P24(f333(f333(f335(x87571),f682(x87572,x87571,x87573,x87574)),f333(f173(x87571),x87573)))
% 163.24/162.98 [8775]~P115(x87754)+~P127(x87754)+~E(f333(f333(f11(x87751,x87754),x87752),x87753),f2(x87754))+~P24(f333(f63(x87751),x87753))+P24(f333(f333(f335(x87751),f851(x87752,x87753,x87751,x87754)),x87753))
% 163.24/162.98 [8812]~E(f333(x88122,x88124),f79(a880))+E(f333(f333(f8(x88121,a880),x88122),x88123),f79(a880))+~P24(f333(f63(x88121),x88123))+~P24(f333(f333(f335(x88121),x88124),x88123))+P24(f333(f333(f335(x88121),f867(x88122,x88123,x88121,x88124)),x88123))
% 163.24/162.98 [8822]E(x88221,x88222)+~E(f333(f333(f3(a1),x88222),x88224),x88221)+~P24(f333(f333(f251(a1),f2(a1)),x88224))+~P24(f333(f333(f335(a1),x88221),x88223))+P24(f333(f333(f335(a1),f435(x88223,x88221,x88224,x88222)),x88223))
% 163.24/162.98 [8823]E(x88231,x88232)+~E(f333(f333(f81(a1),x88232),x88234),x88231)+~P24(f333(f333(f251(a1),f2(a1)),x88234))+~P24(f333(f333(f335(a1),x88231),x88233))+P24(f333(f333(f335(a1),f433(x88233,x88231,x88234,x88232)),x88233))
% 163.24/162.98 [8825]~E(f333(x88252,x88254),f333(a117,f2(a880)))+E(f333(f333(f8(x88251,a880),x88252),x88253),f333(a117,f2(a880)))+~P24(f333(f63(x88251),x88253))+~P24(f333(f333(f335(x88251),x88254),x88253))+P24(f333(f333(f335(x88251),f864(x88252,x88253,x88251,x88254)),x88253))
% 163.24/162.98 [8831]P58(x88312,x88313,x88314,x88311)+E(x88311,f194(f890(x88312,a874)))+~P24(f333(f63(x88312),x88314))+~P24(f333(f63(x88312),x88311))+P24(f333(f333(f335(x88312),f707(x88311,x88314,x88313,x88312)),x88314))
% 163.24/162.98 [8914]E(x89141,x89142)+~E(f333(f333(f3(a1),x89142),x89144),x89141)+~P24(f333(f333(f251(a1),f2(a1)),x89144))+~P24(f333(f333(f335(a1),x89141),x89143))+P24(f333(f333(f335(a1),f436(x89143,x89141,x89144,x89142)),f304(a1,f79(a1),x89144)))
% 163.24/162.98 [8915]E(x89151,x89152)+~E(f333(f333(f81(a1),x89152),x89154),x89151)+~P24(f333(f333(f251(a1),f2(a1)),x89154))+~P24(f333(f333(f335(a1),x89151),x89153))+P24(f333(f333(f335(a1),f434(x89153,x89151,x89154,x89152)),f304(a1,f79(a1),x89154)))
% 163.24/162.98 [8992]P24(f333(f333(f250(a880),x89921),f460(x89922,x89923,x89924,x89921)))+~P24(f333(f333(f250(a1),x89922),f333(x89923,x89924)))+P24(f333(f333(f250(a880),x89921),f461(x89922,x89923,x89924,x89921)))+~P24(f333(f333(f251(a880),x89921),x89924))+~P24(f333(f333(f250(a1),f333(x89923,x89921)),x89922))
% 163.24/162.98 [9093]E(f333(x90931,f460(x90932,x90931,x90933,x90934)),x90932)+~P24(f333(f333(f250(a1),x90932),f333(x90931,x90933)))+P24(f333(f333(f251(a880),f461(x90932,x90931,x90933,x90934)),x90933))+~P24(f333(f333(f251(a880),x90934),x90933))+~P24(f333(f333(f250(a1),f333(x90931,x90934)),x90932))
% 163.24/162.98 [9228]~P24(f333(f333(f250(a1),x92282),f333(x92283,x92284)))+P24(f333(f333(f250(a880),x92281),f461(x92282,x92283,x92284,x92281)))+P24(f333(f333(f250(a880),f460(x92282,x92283,x92284,x92281)),x92284))+~P24(f333(f333(f251(a880),x92281),x92284))+~P24(f333(f333(f250(a1),f333(x92283,x92281)),x92282))
% 163.24/162.98 [9229]~P24(f333(f333(f250(a1),x92292),f333(x92293,x92294)))+P24(f333(f333(f250(a880),x92291),f460(x92292,x92293,x92294,x92291)))+P24(f333(f333(f251(a880),f461(x92292,x92293,x92294,x92291)),x92294))+~P24(f333(f333(f251(a880),x92291),x92294))+~P24(f333(f333(f250(a1),f333(x92293,x92291)),x92292))
% 163.24/162.98 [9339]~P24(f333(f333(f250(a1),x93391),f333(x93392,x93393)))+P24(f333(f333(f250(a880),f460(x93391,x93392,x93393,x93394)),x93393))+~P24(f333(f333(f251(a880),x93394),x93393))+~P24(f333(f333(f250(a1),f333(x93392,x93394)),x93391))+P24(f333(f333(f251(a880),f461(x93391,x93392,x93393,x93394)),x93393))
% 163.24/162.98 [9413]E(x94131,f194(f890(x94132,a874)))+~P24(f333(f63(x94132),x94134))+~P24(f333(f63(x94132),x94131))+P24(f333(f333(f335(f889(f890(x94132,a874),f890(x94132,a874))),f333(f333(f263(f890(x94132,a874),f890(x94132,a874)),x94134),x94131)),f325(x94132,x94133)))+P24(f333(f333(f335(x94132),f709(x94133,x94131,x94134,x94132)),x94134))
% 163.24/162.98 [9414]E(x94141,f194(f890(x94142,a874)))+~P24(f333(f63(x94142),x94144))+~P24(f333(f63(x94142),x94141))+P24(f333(f333(f335(f889(f890(x94142,a874),f890(x94142,a874))),f333(f333(f263(f890(x94142,a874),f890(x94142,a874)),x94144),x94141)),f325(x94142,x94143)))+P24(f333(f333(f335(x94142),f758(x94143,x94141,x94144,x94142)),x94144))
% 163.24/162.98 [10094]E(f333(x100941,f460(x100942,x100941,x100943,x100944)),x100942)+~P24(f333(f333(f250(a1),x100942),f333(x100941,x100943)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x100941,f333(f333(f81(a880),f461(x100942,x100941,x100943,x100944)),f79(a880)))),f333(x100941,f461(x100942,x100941,x100943,x100944))))),f79(a1)))+~P24(f333(f333(f251(a880),x100944),x100943))+~P24(f333(f333(f250(a1),f333(x100941,x100944)),x100942))
% 163.24/162.98 [10095]~P24(f333(f333(f250(a1),x100952),f333(x100953,x100954)))+P24(f333(f333(f250(a880),x100951),f460(x100952,x100953,x100954,x100951)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x100953,f333(f333(f81(a880),f461(x100952,x100953,x100954,x100951)),f79(a880)))),f333(x100953,f461(x100952,x100953,x100954,x100951))))),f79(a1)))+~P24(f333(f333(f251(a880),x100951),x100954))+~P24(f333(f333(f250(a1),f333(x100953,x100951)),x100952))
% 163.24/162.98 [10096]~P24(f333(f333(f250(a1),x100961),f333(x100962,x100963)))+~P24(f333(f333(f250(a1),f333(f76(a1),f333(f333(f3(a1),f333(x100962,f333(f333(f81(a880),f461(x100961,x100962,x100963,x100964)),f79(a880)))),f333(x100962,f461(x100961,x100962,x100963,x100964))))),f79(a1)))+~P24(f333(f333(f251(a880),x100964),x100963))+~P24(f333(f333(f250(a1),f333(x100962,x100964)),x100961))+P24(f333(f333(f250(a880),f460(x100961,x100962,x100963,x100964)),x100963))
% 163.24/162.98 [7204]~P65(x72041)+P24(f333(f333(f251(x72041),x72042),f2(x72041)))+~P24(f333(f333(f251(x72041),x72043),f2(x72041)))+P24(f333(f333(f251(x72041),f2(x72041)),x72042))+P24(f333(f333(f251(x72041),x72043),f333(f333(f291(x72041),x72044),x72042)))
% 163.24/162.98 [7205]~P65(x72051)+P24(f333(f333(f251(x72051),x72052),f2(x72051)))+~P24(f333(f333(f250(x72051),x72053),f2(x72051)))+P24(f333(f333(f251(x72051),f2(x72051)),x72052))+P24(f333(f333(f250(x72051),x72053),f333(f333(f291(x72051),x72054),x72052)))
% 163.24/162.98 [7444]~P65(x74441)+P24(f333(f333(f251(x74441),x74442),f2(x74441)))+P24(f333(f333(f251(x74441),x74443),f2(x74441)))+P24(f333(f333(f251(x74441),f2(x74441)),x74443))+~P24(f333(f333(f251(x74441),x74442),f333(f333(f291(x74441),x74444),x74443)))
% 163.24/162.98 [7445]~P65(x74451)+P24(f333(f333(f251(x74451),x74452),f2(x74451)))+P24(f333(f333(f250(x74451),x74453),f2(x74451)))+P24(f333(f333(f251(x74451),f2(x74451)),x74452))+~P24(f333(f333(f250(x74451),x74453),f333(f333(f291(x74451),x74454),x74452)))
% 163.24/162.98 [7559]E(x75591,x75592)+~E(f333(f333(f166(x75593),x75594),x75591),f333(f333(f166(x75593),x75594),x75592))+~P24(f333(f138(x75593),x75594))+~P24(f333(f333(f251(a880),x75592),f333(f195(f881(x75593)),x75594)))+~P24(f333(f333(f251(a880),x75591),f333(f195(f881(x75593)),x75594)))
% 163.24/162.98 [7913]~P65(x79131)+~P24(f333(f333(f251(x79131),x79133),f2(x79131)))+P24(f333(f333(f251(x79131),f2(x79131)),x79132))+~P24(f333(f333(f251(x79131),x79134),f333(f333(f82(x79131),x79133),x79132)))+P24(f333(f333(f251(x79131),x79133),f333(f333(f291(x79131),x79134),x79132)))
% 163.24/162.98 [7914]~P65(x79141)+~P24(f333(f333(f250(x79141),x79143),f2(x79141)))+P24(f333(f333(f251(x79141),f2(x79141)),x79142))+~P24(f333(f333(f250(x79141),x79144),f333(f333(f82(x79141),x79143),x79142)))+P24(f333(f333(f250(x79141),x79143),f333(f333(f291(x79141),x79144),x79142)))
% 163.24/162.98 [7915]~P65(x79151)+~P24(f333(f333(f251(x79151),x79152),f2(x79151)))+P24(f333(f333(f251(x79151),f2(x79151)),x79152))+~P24(f333(f333(f251(x79151),x79154),f333(f333(f82(x79151),x79153),x79152)))+P24(f333(f333(f251(x79151),x79153),f333(f333(f291(x79151),x79154),x79152)))
% 163.24/162.98 [7916]~P65(x79161)+~P24(f333(f333(f251(x79161),x79162),f2(x79161)))+P24(f333(f333(f251(x79161),f2(x79161)),x79162))+~P24(f333(f333(f251(x79161),x79164),f333(f333(f291(x79161),x79163),x79162)))+P24(f333(f333(f251(x79161),x79163),f333(f333(f82(x79161),x79164),x79162)))
% 163.24/162.98 [7917]~P65(x79171)+~P24(f333(f333(f251(x79171),x79172),f2(x79171)))+P24(f333(f333(f251(x79171),f2(x79171)),x79172))+~P24(f333(f333(f250(x79171),x79174),f333(f333(f82(x79171),x79173),x79172)))+P24(f333(f333(f250(x79171),x79173),f333(f333(f291(x79171),x79174),x79172)))
% 163.24/162.98 [7918]~P65(x79181)+~P24(f333(f333(f251(x79181),x79182),f2(x79181)))+P24(f333(f333(f251(x79181),f2(x79181)),x79182))+~P24(f333(f333(f250(x79181),x79184),f333(f333(f291(x79181),x79183),x79182)))+P24(f333(f333(f250(x79181),x79183),f333(f333(f82(x79181),x79184),x79182)))
% 163.24/162.98 [8066]~P109(x80661)+~P31(x80661,x80662)+~P24(f333(f333(f250(a880),x80663),x80664))+P24(f333(f333(f250(x80661),f333(f333(f166(x80661),x80662),x80663)),f333(f333(f166(x80661),x80662),x80664)))+~P24(f333(f333(f251(a880),x80664),f333(f195(f881(x80661)),x80662)))
% 163.24/162.98 [8119]~P123(x81191)+~P24(f333(f333(f251(x81191),x81192),f79(x81191)))+~P24(f333(f333(f251(x81191),f2(x81191)),x81192))+~P24(f333(f333(f251(a880),x81194),x81193))+P24(f333(f333(f251(x81191),f333(f333(f264(x81191),x81192),x81193)),f333(f333(f264(x81191),x81192),x81194)))
% 163.24/162.98 [8120]~P123(x81201)+~P24(f333(f333(f250(x81201),x81202),f79(x81201)))+~P24(f333(f333(f250(x81201),f2(x81201)),x81202))+~P24(f333(f333(f250(a880),x81204),x81203))+P24(f333(f333(f250(x81201),f333(f333(f264(x81201),x81202),x81203)),f333(f333(f264(x81201),x81202),x81204)))
% 163.24/162.98 [8121]~P123(x81211)+~P24(f333(f333(f250(x81211),f2(x81211)),x81212))+~P24(f333(f333(f251(a880),f2(a880)),x81213))+~P24(f333(f333(f251(x81211),x81212),x81214))+P24(f333(f333(f251(x81211),f333(f333(f264(x81211),x81212),x81213)),f333(f333(f264(x81211),x81214),x81213)))
% 163.24/162.98 [8142]~P109(x81421)+~P31(x81421,f333(f170(x81421),x81422))+~P24(f333(f333(f250(a880),x81424),x81423))+P24(f333(f333(f250(x81421),f333(f333(f166(x81421),x81422),x81423)),f333(f333(f166(x81421),x81422),x81424)))+~P24(f333(f333(f251(a880),x81423),f333(f195(f881(x81421)),x81422)))
% 163.24/162.98 [8386]~P66(x83861)+~P24(f333(f333(f251(x83861),x83862),f2(x83861)))+~P24(f333(f333(f251(x83861),x83863),x83864))+~P24(f333(f333(f251(x83861),f2(x83861)),f333(f333(f82(x83861),x83863),x83864)))+P24(f333(f333(f251(x83861),f333(f333(f291(x83861),x83862),x83863)),f333(f333(f291(x83861),x83862),x83864)))
% 163.24/162.98 [8387]~P65(x83871)+~P24(f333(f333(f250(x83871),x83872),f2(x83871)))+~P24(f333(f333(f250(x83871),x83873),x83874))+~P24(f333(f333(f251(x83871),f2(x83871)),f333(f333(f82(x83871),x83873),x83874)))+P24(f333(f333(f250(x83871),f333(f333(f291(x83871),x83872),x83873)),f333(f333(f291(x83871),x83872),x83874)))
% 163.24/162.98 [8397]~P66(x83971)+~P24(f333(f333(f251(x83971),x83974),x83973))+~P24(f333(f333(f251(x83971),f2(x83971)),x83972))+~P24(f333(f333(f251(x83971),f2(x83971)),f333(f333(f82(x83971),x83973),x83974)))+P24(f333(f333(f251(x83971),f333(f333(f291(x83971),x83972),x83973)),f333(f333(f291(x83971),x83972),x83974)))
% 163.24/162.98 [8398]~P66(x83981)+~P24(f333(f333(f250(x83981),x83984),x83983))+~P24(f333(f333(f250(x83981),f2(x83981)),x83982))+~P24(f333(f333(f251(x83981),f2(x83981)),f333(f333(f82(x83981),x83983),x83984)))+P24(f333(f333(f250(x83981),f333(f333(f291(x83981),x83982),x83983)),f333(f333(f291(x83981),x83982),x83984)))
% 163.24/162.98 [8501]P24(f333(x85011,x85012))+~P24(f333(f63(x85014),x85012))+P24(f333(x85011,f366(x85011,x85013,x85012,x85014)))+~P24(f333(x85011,f194(f890(x85014,a874))))+~P24(f333(f333(f250(f890(x85014,a874)),x85012),x85013))
% 163.24/162.98 [8509]P24(f333(x85091,x85092))+P24(f333(f63(x85093),f366(x85091,x85094,x85092,x85093)))+~P24(f333(f63(x85093),x85092))+~P24(f333(x85091,f194(f890(x85093,a874))))+~P24(f333(f333(f250(f890(x85093,a874)),x85092),x85094))
% 163.24/162.98 [8752]E(f333(f333(f81(a1),f437(x87521,x87522,x87523,x87524)),f438(x87521,x87522,x87523,x87524)),x87524)+~P24(f333(f333(f251(a1),f2(a1)),x87523))+~P24(f333(f333(f251(a1),x87522),x87524))+~P24(f333(f333(f335(a1),x87522),x87521))+P24(f333(f333(f251(a1),x87522),f333(f333(f3(a1),x87524),x87523)))
% 163.24/162.98 [8974]~P24(f333(f333(f251(a1),f2(a1)),x89743))+~P24(f333(f333(f251(a1),x89742),x89744))+~P24(f333(f333(f335(a1),x89742),x89741))+P24(f333(f333(f335(a1),f437(x89741,x89742,x89743,x89744)),x89741))+P24(f333(f333(f251(a1),x89742),f333(f333(f3(a1),x89744),x89743)))
% 163.24/162.98 [8985]P24(f333(x89851,x89852))+~P24(f333(f63(x89853),x89852))+P24(f333(f333(f335(x89853),f367(x89851,x89854,x89852,x89853)),x89854))+~P24(f333(x89851,f194(f890(x89853,a874))))+~P24(f333(f333(f250(f890(x89853,a874)),x89852),x89854))
% 163.24/162.98 [9002]E(f333(f333(f81(a1),f418(x90021,x90022,x90023,x90024)),f419(x90021,x90022,x90023,x90024)),x90024)+~P24(f333(f333(f251(a1),f2(a1)),x90023))+~P24(f333(f333(f250(a1),x90022),x90024))+P24(f333(f333(f250(a1),x90022),f333(f333(f3(a1),x90024),x90023)))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x90022),f79(a1))),x90021))
% 163.24/162.98 [9047]~P24(f333(f333(f251(a1),f2(a1)),x90473))+~P24(f333(f333(f251(a1),x90471),x90472))+~P24(f333(f333(f335(a1),x90471),x90474))+P24(f333(f333(f335(a1),f438(x90474,x90471,x90473,x90472)),f304(a1,f79(a1),x90473)))+P24(f333(f333(f251(a1),x90471),f333(f333(f3(a1),x90472),x90473)))
% 163.24/162.98 [9144]~P24(f333(f333(f251(a1),f2(a1)),x91443))+~P24(f333(f333(f250(a1),x91442),x91444))+P24(f333(f333(f335(a1),f418(x91441,x91442,x91443,x91444)),x91441))+P24(f333(f333(f250(a1),x91442),f333(f333(f3(a1),x91444),x91443)))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x91442),f79(a1))),x91441))
% 163.24/162.98 [9186]~P24(f333(f333(f251(a1),f2(a1)),x91863))+~P24(f333(f333(f250(a1),x91861),x91862))+P24(f333(f333(f335(a1),f419(x91864,x91861,x91863,x91862)),f304(a1,f79(a1),x91863)))+P24(f333(f333(f250(a1),x91861),f333(f333(f3(a1),x91862),x91863)))+~P24(f333(f333(f335(a1),f333(f333(f3(a1),x91861),f79(a1))),x91864))
% 163.24/162.98 [9417]P24(f333(x94171,x94172))+~P24(f333(f333(f335(x94173),f367(x94171,x94174,x94172,x94173)),f366(x94171,x94174,x94172,x94173)))+~P24(f333(f63(x94173),x94172))+~P24(f333(x94171,f194(f890(x94173,a874))))+~P24(f333(f333(f250(f890(x94173,a874)),x94172),x94174))
% 163.24/162.98 [9659]P24(f333(x96591,x96592))+~P24(f333(f63(x96593),x96592))+~P24(f333(x96591,f333(f333(f311(x96593),f367(x96591,x96594,x96592,x96593)),f366(x96591,x96594,x96592,x96593))))+~P24(f333(x96591,f194(f890(x96593,a874))))+~P24(f333(f333(f250(f890(x96593,a874)),x96592),x96594))
% 163.24/162.98 [7692]~P65(x76921)+P24(f333(f333(f251(x76921),x76922),f2(x76921)))+P24(f333(f333(f251(x76921),f2(x76921)),x76922))+~P24(f333(f333(f251(x76921),f2(x76921)),x76924))+P24(f333(f333(f251(x76921),f333(f333(f291(x76921),x76923),x76922)),x76924))
% 163.24/162.98 [7693]~P65(x76931)+P24(f333(f333(f251(x76931),x76932),f2(x76931)))+~P24(f333(f333(f250(x76931),f2(x76931)),x76934))+P24(f333(f333(f251(x76931),f2(x76931)),x76932))+P24(f333(f333(f250(x76931),f333(f333(f291(x76931),x76933),x76932)),x76934))
% 163.24/162.98 [7966]~P24(f333(f333(f250(a1),x79664),f2(a1)))+~E(x79662,f333(f333(f81(a1),f333(f333(f82(a1),x79661),x79663)),x79664))+P24(f333(f333(f251(a1),f2(a1)),x79661))+~P24(f333(f333(f251(a1),x79661),x79664))+P24(f333(f50(x79662,x79661),f333(f333(f263(a1,a1),x79663),x79664)))
% 163.24/162.98 [8005]~P24(f333(x80051,x80054))+P24(f333(x80051,f394(x80052,x80051,x80053)))+~P24(f333(f333(f251(a1),f2(a1)),x80053))+~P24(f333(f333(f250(a1),f2(a1)),x80052))+P24(f333(x80051,f333(f333(f3(a1),x80054),f333(f333(f82(a1),x80052),x80053))))
% 163.24/162.98 [8006]~P24(f333(x80061,x80064))+P24(f333(x80061,f396(x80062,x80061,x80063)))+~P24(f333(f333(f251(a1),f2(a1)),x80063))+~P24(f333(f333(f250(a1),f2(a1)),x80062))+P24(f333(x80061,f333(f333(f81(a1),x80064),f333(f333(f82(a1),x80062),x80063))))
% 163.24/162.98 [8007]~P65(x80071)+P24(f333(f333(f251(x80071),x80072),f2(x80071)))+P24(f333(f333(f251(x80071),f2(x80071)),x80072))+P24(f333(f333(f251(x80071),f2(x80071)),x80073))+~P24(f333(f333(f251(x80071),f333(f333(f291(x80071),x80074),x80072)),x80073))
% 163.24/162.98 [8008]~P65(x80081)+P24(f333(f333(f251(x80081),x80082),f2(x80081)))+P24(f333(f333(f251(x80081),f2(x80081)),x80082))+P24(f333(f333(f250(x80081),f2(x80081)),x80083))+~P24(f333(f333(f250(x80081),f333(f333(f291(x80081),x80084),x80082)),x80083))
% 163.24/162.98 [8060]~E(x80601,f333(f333(f81(a1),f333(f333(f82(a1),x80602),x80603)),x80604))+~P24(f333(f333(f251(a1),f2(a1)),x80602))+~P24(f333(f333(f250(a1),f2(a1)),x80604))+~P24(f333(f333(f251(a1),x80604),x80602))+P24(f333(f50(x80601,x80602),f333(f333(f263(a1,a1),x80603),x80604)))
% 163.24/162.98 [8186]~P65(x81861)+P24(f333(f333(f251(x81861),x81862),f2(x81861)))+~P24(f333(f333(f251(x81861),f2(x81861)),x81864))+~P24(f333(f333(f251(x81861),x81863),f333(f333(f82(x81861),x81864),x81862)))+P24(f333(f333(f251(x81861),f333(f333(f291(x81861),x81863),x81862)),x81864))
% 163.24/162.98 [8187]~P65(x81871)+P24(f333(f333(f251(x81871),x81872),f2(x81871)))+~P24(f333(f333(f250(x81871),f2(x81871)),x81874))+~P24(f333(f333(f250(x81871),x81873),f333(f333(f82(x81871),x81874),x81872)))+P24(f333(f333(f250(x81871),f333(f333(f291(x81871),x81873),x81872)),x81874))
% 163.24/162.98 [8266]~P65(x82661)+P24(f333(f333(f251(x82661),x82662),f2(x82661)))+~P24(f333(f333(f251(x82661),x82663),f2(x82661)))+P24(f333(f333(f251(x82661),x82663),f333(f333(f291(x82661),x82664),x82662)))+~P24(f333(f333(f251(x82661),f333(f333(f82(x82661),x82663),x82662)),x82664))
% 163.24/162.98 [8267]~P65(x82671)+P24(f333(f333(f251(x82671),x82672),f2(x82671)))+~P24(f333(f333(f250(x82671),x82673),f2(x82671)))+P24(f333(f333(f250(x82671),x82673),f333(f333(f291(x82671),x82674),x82672)))+~P24(f333(f333(f250(x82671),f333(f333(f82(x82671),x82673),x82672)),x82674))
% 163.24/162.98 [8420]~P65(x84201)+~P24(f333(f333(f251(x84201),x84202),f2(x84201)))+P24(f333(f333(f251(x84201),f2(x84201)),x84202))+~P24(f333(f333(f251(x84201),f333(f333(f291(x84201),x84204),x84202)),x84203))+P24(f333(f333(f251(x84201),f333(f333(f82(x84201),x84203),x84202)),x84204))
% 163.24/162.98 [8421]~P65(x84211)+~P24(f333(f333(f251(x84211),x84212),f2(x84211)))+P24(f333(f333(f251(x84211),f2(x84211)),x84212))+~P24(f333(f333(f251(x84211),f333(f333(f82(x84211),x84214),x84212)),x84213))+P24(f333(f333(f251(x84211),f333(f333(f291(x84211),x84213),x84212)),x84214))
% 163.24/162.98 [8422]~P65(x84221)+~P24(f333(f333(f251(x84221),x84222),f2(x84221)))+P24(f333(f333(f251(x84221),f2(x84221)),x84222))+~P24(f333(f333(f250(x84221),f333(f333(f291(x84221),x84224),x84222)),x84223))+P24(f333(f333(f250(x84221),f333(f333(f82(x84221),x84223),x84222)),x84224))
% 163.24/162.98 [8423]~P65(x84231)+~P24(f333(f333(f251(x84231),x84232),f2(x84231)))+P24(f333(f333(f251(x84231),f2(x84231)),x84232))+~P24(f333(f333(f250(x84231),f333(f333(f82(x84231),x84234),x84232)),x84233))+P24(f333(f333(f250(x84231),f333(f333(f291(x84231),x84233),x84232)),x84234))
% 163.24/162.98 [8447]~P65(x84471)+~P24(f333(f333(f251(x84471),f2(x84471)),x84474))+P24(f333(f333(f251(x84471),f2(x84471)),x84472))+~P24(f333(f333(f251(x84471),f333(f333(f82(x84471),x84474),x84472)),x84473))+P24(f333(f333(f251(x84471),f333(f333(f291(x84471),x84473),x84472)),x84474))
% 163.24/162.98 [8448]~P65(x84481)+~P24(f333(f333(f250(x84481),f2(x84481)),x84484))+P24(f333(f333(f251(x84481),f2(x84481)),x84482))+~P24(f333(f333(f250(x84481),f333(f333(f82(x84481),x84484),x84482)),x84483))+P24(f333(f333(f250(x84481),f333(f333(f291(x84481),x84483),x84482)),x84484))
% 163.24/162.98 [8522]~P65(x85221)+~P24(f333(f333(f251(x85221),x85224),f2(x85221)))+~P24(f333(f333(f251(x85221),x85223),f333(f333(f82(x85221),x85222),x85224)))+P24(f333(f333(f251(x85221),x85222),f333(f333(f291(x85221),x85223),x85224)))+~P24(f333(f333(f251(x85221),f333(f333(f82(x85221),x85222),x85224)),x85223))
% 163.24/162.98 [8523]~P65(x85231)+~P24(f333(f333(f251(x85231),x85232),f2(x85231)))+~P24(f333(f333(f251(x85231),x85233),f333(f333(f82(x85231),x85232),x85234)))+P24(f333(f333(f251(x85231),x85232),f333(f333(f291(x85231),x85233),x85234)))+~P24(f333(f333(f251(x85231),f333(f333(f82(x85231),x85232),x85234)),x85233))
% 163.24/162.98 [8524]~P65(x85241)+~P24(f333(f333(f251(x85241),x85244),f2(x85241)))+~P24(f333(f333(f250(x85241),x85243),f333(f333(f82(x85241),x85242),x85244)))+P24(f333(f333(f250(x85241),x85242),f333(f333(f291(x85241),x85243),x85244)))+~P24(f333(f333(f250(x85241),f333(f333(f82(x85241),x85242),x85244)),x85243))
% 163.24/162.98 [8525]~P65(x85251)+~P24(f333(f333(f250(x85251),x85252),f2(x85251)))+~P24(f333(f333(f250(x85251),x85253),f333(f333(f82(x85251),x85252),x85254)))+P24(f333(f333(f250(x85251),x85252),f333(f333(f291(x85251),x85253),x85254)))+~P24(f333(f333(f250(x85251),f333(f333(f82(x85251),x85252),x85254)),x85253))
% 163.24/162.98 [8637]~P65(x86371)+~P24(f333(f333(f251(x86371),x86373),f2(x86371)))+~P24(f333(f333(f251(x86371),x86372),f333(f333(f82(x86371),x86374),x86373)))+~P24(f333(f333(f251(x86371),f333(f333(f82(x86371),x86374),x86373)),x86372))+P24(f333(f333(f251(x86371),f333(f333(f291(x86371),x86372),x86373)),x86374))
% 163.24/162.98 [8638]~P65(x86381)+~P24(f333(f333(f251(x86381),x86383),f2(x86381)))+~P24(f333(f333(f250(x86381),x86382),f333(f333(f82(x86381),x86384),x86383)))+~P24(f333(f333(f250(x86381),f333(f333(f82(x86381),x86384),x86383)),x86382))+P24(f333(f333(f250(x86381),f333(f333(f291(x86381),x86382),x86383)),x86384))
% 163.24/162.98 [8647]~P65(x86471)+~P24(f333(f333(f251(x86471),f2(x86471)),x86474))+~P24(f333(f333(f251(x86471),x86472),f333(f333(f82(x86471),x86474),x86473)))+~P24(f333(f333(f251(x86471),f333(f333(f82(x86471),x86474),x86473)),x86472))+P24(f333(f333(f251(x86471),f333(f333(f291(x86471),x86472),x86473)),x86474))
% 163.24/162.98 [8648]~P65(x86481)+~P24(f333(f333(f250(x86481),f2(x86481)),x86484))+~P24(f333(f333(f250(x86481),x86482),f333(f333(f82(x86481),x86484),x86483)))+~P24(f333(f333(f250(x86481),f333(f333(f82(x86481),x86484),x86483)),x86482))+P24(f333(f333(f250(x86481),f333(f333(f291(x86481),x86482),x86483)),x86484))
% 163.24/162.98 [8815]E(f333(f333(f3(a1),f439(x88151,x88152,x88153,x88154)),f440(x88151,x88152,x88153,x88154)),x88154)+~P24(f333(f333(f251(a1),f2(a1)),x88153))+~P24(f333(f333(f335(a1),x88152),x88151))+~P24(f333(f333(f251(a1),x88154),x88152))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x88154),x88153)),x88152))
% 163.24/162.98 [8897]~P24(f333(x88971,x88972))+~P24(f333(f333(f251(a1),f2(a1)),x88974))+~P24(f333(f333(f250(a1),f2(a1)),x88973))+~P24(f333(x88971,f333(f333(f3(a1),f394(x88973,x88971,x88974)),x88974)))+P24(f333(x88971,f333(f333(f3(a1),x88972),f333(f333(f82(a1),x88973),x88974))))
% 163.24/162.98 [8898]~P24(f333(x88981,x88982))+~P24(f333(f333(f251(a1),f2(a1)),x88984))+~P24(f333(f333(f250(a1),f2(a1)),x88983))+~P24(f333(x88981,f333(f333(f81(a1),f396(x88983,x88981,x88984)),x88984)))+P24(f333(x88981,f333(f333(f81(a1),x88982),f333(f333(f82(a1),x88983),x88984))))
% 163.24/162.98 [9041]~P24(f333(f333(f251(a1),f2(a1)),x90413))+~P24(f333(f333(f335(a1),x90412),x90411))+~P24(f333(f333(f251(a1),x90414),x90412))+P24(f333(f333(f335(a1),f439(x90411,x90412,x90413,x90414)),x90411))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x90414),x90413)),x90412))
% 163.24/162.98 [9055]E(f333(f333(f3(a1),f420(x90551,x90552,x90553,x90554)),f421(x90551,x90552,x90553,x90554)),x90554)+~P24(f333(f333(f251(a1),f2(a1)),x90553))+~P24(f333(f333(f250(a1),x90554),x90552))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x90552),f79(a1))),x90551))+P24(f333(f333(f250(a1),f333(f333(f81(a1),x90554),x90553)),x90552))
% 163.24/162.98 [9080]~P24(f333(f333(f251(a1),f2(a1)),x90802))+~P24(f333(f333(f335(a1),x90803),x90804))+~P24(f333(f333(f251(a1),x90801),x90803))+P24(f333(f333(f335(a1),f440(x90804,x90803,x90802,x90801)),f304(a1,f79(a1),x90802)))+P24(f333(f333(f251(a1),f333(f333(f81(a1),x90801),x90802)),x90803))
% 163.24/162.98 [9181]~P24(f333(f333(f251(a1),f2(a1)),x91813))+~P24(f333(f333(f250(a1),x91814),x91812))+P24(f333(f333(f335(a1),f420(x91811,x91812,x91813,x91814)),x91811))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x91812),f79(a1))),x91811))+P24(f333(f333(f250(a1),f333(f333(f81(a1),x91814),x91813)),x91812))
% 163.24/162.98 [9224]~P24(f333(f333(f251(a1),f2(a1)),x92242))+~P24(f333(f333(f250(a1),x92241),x92243))+P24(f333(f333(f335(a1),f421(x92244,x92243,x92242,x92241)),f304(a1,f79(a1),x92242)))+~P24(f333(f333(f335(a1),f333(f333(f81(a1),x92243),f79(a1))),x92244))+P24(f333(f333(f250(a1),f333(f333(f81(a1),x92241),x92242)),x92243))
% 163.24/162.98 [9523]~P40(x95231,x95233)+~P22(x95231,x95234)+P40(x95231,f333(f333(f115(f890(f889(x95231,x95231),a874)),x95232),x95233))+~P24(f333(f333(f250(f890(f889(x95231,x95231),a874)),x95232),f333(f262(f890(f889(x95231,x95231),a874),f890(f889(x95231,x95231),a874)),x95234)))+~P24(f333(f333(f250(f890(f889(x95231,x95231),a874)),x95233),f333(f271(f890(f889(x95231,x95231),a874),f890(f889(x95231,x95231),a874)),x95234)))
% 163.24/162.98 [9836]~E(f333(f523(x98361,x98364,x98363,x98362),f525(x98361,x98364,x98363,x98362)),f197(f881(a329)))+P24(f333(f333(f251(a1),f524(x98361,x98364,x98363,x98362)),f525(x98361,x98364,x98363,x98362)))+P24(f333(f333(f333(x98361,x98362),x98363),x98364))+P24(f333(f333(f333(x98361,f523(x98361,x98364,x98363,x98362)),f524(x98361,x98364,x98363,x98362)),f333(f333(f81(a1),f525(x98361,x98364,x98363,x98362)),f79(a1))))+~P24(f333(f321(f889(f890(a1,f884(f881(a329))),f889(a1,a1)),a319),f333(f333(f263(f890(a1,f884(f881(a329))),f889(a1,a1)),x98362),f333(f333(f263(a1,a1),x98363),x98364))))
% 163.24/162.98 [9927]~P14(x99272,x99274,x99273)+E(x99271,f194(f890(x99272,a874)))+~P24(f333(f63(x99272),x99271))+P24(f333(f333(f335(x99272),f333(x99273,x99271)),x99271))+~P24(f333(f333(f335(x99272),f333(f333(x99274,f560(x99271,x99273,x99274,x99272)),f573(x99271,x99273,x99274,x99272))),f333(f333(f311(x99272),f560(x99271,x99273,x99274,x99272)),f333(f333(f311(x99272),f573(x99271,x99273,x99274,x99272)),f194(f890(x99272,a874))))))
% 163.24/162.98 [9864]~P110(x98642)+~P62(x98641)+~P24(f333(f333(f250(f890(x98641,x98642)),x98643),x98644))+P24(f333(f333(f251(f890(x98641,x98642)),x98643),x98644))+~P24(f333(f59(x98641),f333(f333(f10(a874,a874,x98641),a328),f333(f333(f20(x98641,x98642,a874),f333(f333(f10(x98642,f890(x98642,a874),x98641),a330),x98643)),x98644))))
% 163.24/162.98 [9426]~P54(x94261,x94261,x94264)+P24(f333(f333(f335(f889(x94261,x94261)),f333(f333(f263(x94261,x94261),x94262),x94263)),f309(x94261,x94264)))+P24(f333(f333(f335(f889(x94261,x94261)),f333(f333(f263(x94261,x94261),x94263),x94262)),f309(x94261,x94264)))+~P24(f333(f333(f335(f889(x94261,x94261)),f333(f333(f263(x94261,x94261),x94265),x94262)),f309(x94261,x94264)))+~P24(f333(f333(f335(f889(x94261,x94261)),f333(f333(f263(x94261,x94261),x94265),x94263)),f309(x94261,x94264)))
% 163.24/162.98 [5636]E(x56361,f2(a880))+~E(f333(f39(x56362),x56365),x56361)+E(f333(f39(x56362),x56363),f333(a117,x56361))+~E(x56363,f333(f333(f311(x56362),x56364),x56365))+P24(f333(f333(f335(x56362),x56364),x56365))
% 163.24/162.98 [5761]~P64(x57612)+E(x57611,f2(x57612))+E(x57613,f2(x57612))+~E(f333(f333(f291(x57612),x57614),x57613),f333(f333(f291(x57612),x57615),x57611))+E(f333(f333(f82(x57612),x57614),x57611),f333(f333(f82(x57612),x57615),x57613))
% 163.24/162.98 [5762]~P64(x57622)+E(x57621,f2(x57622))+E(x57623,f2(x57622))+~E(f333(f333(f82(x57622),x57624),x57623),f333(f333(f82(x57622),x57625),x57621))+E(f333(f333(f291(x57622),x57624),x57621),f333(f333(f291(x57622),x57625),x57623))
% 163.24/162.98 [5828]~E(f333(f39(x58281),x58285),x58283)+~E(x58285,f194(f890(x58281,a874)))+E(f333(f39(x58281),x58282),f333(a117,x58283))+~E(x58282,f333(f333(f311(x58281),x58284),x58285))+P24(f333(f333(f335(x58281),x58284),x58285))
% 163.24/162.98 [6055]~P115(x60552)+~E(f333(x60553,x60555),f2(x60552))+E(f333(f333(f11(x60551,x60552),x60553),x60554),f2(x60552))+~P24(f333(f63(x60551),x60554))+~P24(f333(f333(f335(x60551),x60555),x60554))
% 163.24/162.98 [6423]~P109(x64233)+E(x64231,x64232)+~E(f333(f303(x64233,x64234),x64231),f333(f303(x64233,x64235),x64232))+~P24(f333(f333(f251(x64233),x64235),x64232))+~P24(f333(f333(f251(x64233),x64234),x64231))
% 163.24/162.98 [6424]~P109(x64243)+E(x64241,x64242)+~E(f333(f303(x64243,x64241),x64244),f333(f303(x64243,x64242),x64245))+~P24(f333(f333(f251(x64243),x64242),x64245))+~P24(f333(f333(f251(x64243),x64241),x64244))
% 163.24/162.98 [7461]~P109(x74611)+~P31(x74611,f333(f333(f127(x74611),x74614),x74615))+~P24(f333(f333(f335(x74611),x74613),f333(f173(x74611),x74615)))+~P24(f333(f333(f335(x74611),x74612),f333(f173(x74611),x74614)))+P24(f333(f333(f250(x74611),x74612),x74613))
% 163.24/162.98 [8558]~P110(x85581)+~P24(f333(f333(f251(f890(x85581,a874)),f304(x85581,x85585,x85582)),f304(x85581,x85584,x85583)))+~P24(f333(f333(f250(x85581),x85585),x85582))+P24(f333(f333(f251(x85581),x85582),x85583))+P24(f333(f333(f251(x85581),x85584),x85585))
% 163.24/162.98 [9960]~P13(x99602,x99605,x99603)+E(x99601,f194(f890(x99602,a874)))+~E(f333(f333(x99605,f333(x99604,f828(x99601,x99604,x99603,x99605,x99602))),f333(x99604,f829(x99601,x99604,x99603,x99605,x99602))),f333(x99604,f333(f333(x99605,f828(x99601,x99604,x99603,x99605,x99602)),f829(x99601,x99604,x99603,x99605,x99602))))+E(f333(x99603,f333(f312(x99602,x99602,x99604),x99601)),f333(x99604,f333(x99603,x99601)))+~P24(f333(f63(x99602),x99601))
% 163.24/162.98 [6420]~P14(x64202,x64205,x64203)+E(x64201,f194(f890(x64202,a874)))+~P24(f333(f63(x64202),x64201))+E(f333(x64203,f333(f333(f311(x64202),x64204),x64201)),f333(f333(x64205,x64204),f333(x64203,x64201)))+P24(f333(f333(f335(x64202),x64204),x64201))
% 163.24/162.98 [7228]~P13(x72282,x72283,x72284)+E(f333(f333(x72283,f333(x72284,x72281)),f333(x72284,x72285)),f333(x72284,x72285))+E(x72281,f194(f890(x72282,a874)))+~P24(f333(f63(x72282),x72285))+~P24(f333(f333(f250(f890(x72282,a874)),x72281),x72285))
% 163.24/162.98 [7437]~P62(x74374)+~P96(x74375)+E(f333(x74371,x74372),f333(x74373,x74372))+~P24(f333(f333(f335(x74374),x74372),f333(f173(x74374),f57(x74374))))+~P24(f333(f333(f92(f890(x74374,x74375)),x74371),x74373))
% 163.24/162.98 [7590]~P14(x75904,x75905,x75901)+E(f333(x75901,x75902),x75903)+~P24(f333(f63(x75904),x75902))+~E(f333(f333(f3(f890(x75904,a874)),x75902),f333(f333(f311(x75904),x75903),f194(f890(x75904,a874)))),f194(f890(x75904,a874)))+~P24(f333(f333(f335(x75904),x75903),x75902))
% 163.24/162.98 [7675]E(x76751,x76752)+~E(f333(f195(f881(x76753)),x76752),f333(f195(f881(x76754)),x76755))+~E(f333(f195(f881(x76753)),x76751),f333(f195(f881(x76754)),x76755))+~E(f333(f178(x76754,x76753),f333(f333(f182(x76754,x76753),x76755),x76751)),f333(f178(x76754,x76753),f333(f333(f182(x76754,x76753),x76755),x76752)))+~P24(f333(f138(x76754),x76755))
% 163.24/162.98 [8529]E(x85291,x85292)+~P6(x85293,x85294,x85295)+E(f333(f333(f106(f890(x85293,a874)),x85291),x85292),f194(f890(x85293,a874)))+~P24(f333(f333(f335(f890(x85293,a874)),x85292),f333(f333(f62(x85293),x85294),x85295)))+~P24(f333(f333(f335(f890(x85293,a874)),x85291),f333(f333(f62(x85293),x85294),x85295)))
% 163.24/162.98 [9309]~P69(x93092)+~E(f333(x93093,f355(x93093,x93094,x93095,x93091,x93092)),f2(x93092))+E(f333(f333(f8(x93091,x93092),x93093),x93094),f333(f333(f8(x93091,x93092),x93093),x93095))+~P24(f333(f63(x93091),x93095))+~P24(f333(f333(f250(f890(x93091,a874)),x93094),x93095))
% 163.24/162.98 [9310]~P69(x93102)+~E(f333(x93103,f361(x93103,x93104,x93105,x93101,x93102)),f2(x93102))+E(f333(f333(f8(x93101,x93102),x93103),x93104),f333(f333(f8(x93101,x93102),x93103),x93105))+~P24(f333(f63(x93101),x93105))+~P24(f333(f333(f250(f890(x93101,a874)),x93104),x93105))
% 163.24/162.98 [9311]~P76(x93112)+~E(f333(x93113,f356(x93113,x93114,x93115,x93111,x93112)),f79(x93112))+E(f333(f333(f11(x93111,x93112),x93113),x93114),f333(f333(f11(x93111,x93112),x93113),x93115))+~P24(f333(f63(x93111),x93115))+~P24(f333(f333(f250(f890(x93111,a874)),x93114),x93115))
% 163.24/162.98 [9312]~P76(x93122)+~E(f333(x93123,f360(x93123,x93124,x93125,x93121,x93122)),f79(x93122))+E(f333(f333(f11(x93121,x93122),x93123),x93124),f333(f333(f11(x93121,x93122),x93123),x93125))+~P24(f333(f63(x93121),x93125))+~P24(f333(f333(f250(f890(x93121,a874)),x93124),x93125))
% 163.24/162.98 [9817]~P89(x98171)+~P24(f333(f63(x98172),x98175))+~P24(f333(f333(f250(x98171),f2(x98171)),f333(x98173,f357(x98173,x98174,x98175,x98172,x98171))))+P24(f333(f333(f250(x98171),f333(f333(f8(x98172,x98171),x98173),x98174)),f333(f333(f8(x98172,x98171),x98173),x98175)))+~P24(f333(f333(f250(f890(x98172,a874)),x98174),x98175))
% 163.24/162.98 [7458]E(x74581,f2(a880))+P24(f333(x74582,x74583))+~E(x74584,f333(f333(f81(a880),f333(f333(f82(a880),x74581),x74583)),x74585))+~P24(f333(f333(f251(a880),x74585),x74581))+~P24(f333(x74582,f333(f333(f40(a880),x74584),x74581)))
% 163.24/162.98 [7534]E(x75341,f2(a880))+P24(f333(x75342,x75343))+~P24(f333(x75342,f46(a880,x75344,x75341)))+~E(x75344,f333(f333(f81(a880),f333(f333(f82(a880),x75341),x75345)),x75343))+~P24(f333(f333(f251(a880),x75343),x75341))
% 163.24/162.98 [7824]~P64(x78243)+E(f333(x78241,x78242),f2(x78243))+~P24(f333(f63(x78244),x78245))+E(f333(f333(f11(x78244,x78243),x78241),f333(f333(f3(f890(x78244,a874)),x78245),f333(f333(f311(x78244),x78242),f194(f890(x78244,a874))))),f333(f333(f11(x78244,x78243),x78241),x78245))+P24(f333(f333(f335(x78244),x78242),x78245))
% 163.24/162.98 [8225]~P69(x82251)+~P24(f333(f63(x82252),x82255))+~P24(f333(f63(x82252),x82254))+~E(f333(f333(f106(f890(x82252,a874)),x82254),x82255),f194(f890(x82252,a874)))+E(f333(f333(f81(x82251),f333(f333(f8(x82252,x82251),x82253),x82254)),f333(f333(f8(x82252,x82251),x82253),x82255)),f333(f333(f8(x82252,x82251),x82253),f333(f333(f115(f890(x82252,a874)),x82254),x82255)))
% 163.24/162.98 [8227]~P76(x82271)+~P24(f333(f63(x82272),x82275))+~P24(f333(f63(x82272),x82274))+~E(f333(f333(f106(f890(x82272,a874)),x82274),x82275),f194(f890(x82272,a874)))+E(f333(f333(f82(x82271),f333(f333(f11(x82272,x82271),x82273),x82274)),f333(f333(f11(x82272,x82271),x82273),x82275)),f333(f333(f11(x82272,x82271),x82273),f333(f333(f115(f890(x82272,a874)),x82274),x82275)))
% 163.24/162.98 [8320]~P64(x83203)+E(f333(x83201,x83202),f2(x83203))+~P24(f333(f63(x83204),x83205))+E(f333(f333(f11(x83204,x83203),x83201),f333(f333(f3(f890(x83204,a874)),x83205),f333(f333(f311(x83204),x83202),f194(f890(x83204,a874))))),f333(f333(f291(x83203),f333(f333(f11(x83204,x83203),x83201),x83205)),f333(x83201,x83202)))+~P24(f333(f333(f335(x83204),x83202),x83205))
% 163.24/162.98 [9027]~P6(x90271,x90275,x90274)+~E(f333(f333(f62(x90271),f333(f333(f311(x90271),x90272),f194(f890(x90271,a874)))),x90274),f333(f333(f62(x90271),f333(f333(f311(x90271),x90273),f194(f890(x90271,a874)))),x90274))+~P24(f333(f333(f335(x90271),x90273),x90275))+~P24(f333(f333(f335(x90271),x90272),x90275))+P24(f333(f333(f335(f889(x90271,x90271)),f333(f333(f263(x90271,x90271),x90272),x90273)),x90274))
% 163.24/162.98 [9040]~P6(x90401,x90405,x90403)+E(f333(f333(f62(x90401),f333(f333(f311(x90401),x90402),f194(f890(x90401,a874)))),x90403),f333(f333(f62(x90401),f333(f333(f311(x90401),x90404),f194(f890(x90401,a874)))),x90403))+~P24(f333(f333(f335(x90401),x90404),x90405))+~P24(f333(f333(f335(x90401),x90402),x90405))+~P24(f333(f333(f335(f889(x90401,x90401)),f333(f333(f263(x90401,x90401),x90402),x90404)),x90403))
% 163.24/162.98 [9338]~P76(x93381)+~P24(f333(f63(x93382),x93385))+~P24(f333(f63(x93382),x93384))+~E(f333(f333(f106(f890(x93382,a874)),x93384),x93385),f194(f890(x93382,a874)))+E(f333(f333(f82(x93381),f333(f333(f333(f67(x93381,x93382,f82(x93381)),x93383),f79(x93381)),x93384)),f333(f333(f333(f67(x93381,x93382,f82(x93381)),x93383),f79(x93381)),x93385)),f333(f333(f333(f67(x93381,x93382,f82(x93381)),x93383),f79(x93381)),f333(f333(f115(f890(x93382,a874)),x93384),x93385)))
% 163.24/162.98 [9347]~P69(x93471)+~E(f333(x93473,f871(x93473,x93475,x93474,x93472,x93471)),f2(x93471))+~P24(f333(f63(x93472),x93474))+~P24(f333(f63(x93472),x93475))+E(f333(f333(f81(x93471),f333(f333(f8(x93472,x93471),x93473),x93474)),f333(f333(f8(x93472,x93471),x93473),x93475)),f333(f333(f8(x93472,x93471),x93473),f333(f333(f115(f890(x93472,a874)),x93474),x93475)))
% 163.24/162.98 [9348]~P69(x93481)+~E(f333(x93483,f872(x93483,x93485,x93484,x93482,x93481)),f2(x93481))+~P24(f333(f63(x93482),x93484))+~P24(f333(f63(x93482),x93485))+E(f333(f333(f81(x93481),f333(f333(f8(x93482,x93481),x93483),x93484)),f333(f333(f8(x93482,x93481),x93483),x93485)),f333(f333(f8(x93482,x93481),x93483),f333(f333(f115(f890(x93482,a874)),x93484),x93485)))
% 163.24/162.98 [9349]~P76(x93491)+~E(f333(x93493,f848(x93493,x93495,x93494,x93492,x93491)),f79(x93491))+~P24(f333(f63(x93492),x93494))+~P24(f333(f63(x93492),x93495))+E(f333(f333(f82(x93491),f333(f333(f11(x93492,x93491),x93493),x93494)),f333(f333(f11(x93492,x93491),x93493),x93495)),f333(f333(f11(x93492,x93491),x93493),f333(f333(f115(f890(x93492,a874)),x93494),x93495)))
% 163.24/162.98 [9350]~P76(x93501)+~E(f333(x93503,f849(x93503,x93505,x93504,x93502,x93501)),f79(x93501))+~P24(f333(f63(x93502),x93504))+~P24(f333(f63(x93502),x93505))+E(f333(f333(f82(x93501),f333(f333(f11(x93502,x93501),x93503),x93504)),f333(f333(f11(x93502,x93501),x93503),x93505)),f333(f333(f11(x93502,x93501),x93503),f333(f333(f115(f890(x93502,a874)),x93504),x93505)))
% 163.24/162.98 [9565]~P76(x95651)+~E(f333(x95653,f854(x95653,x95655,x95654,x95652,x95651)),f79(x95651))+~P24(f333(f63(x95652),x95654))+~P24(f333(f63(x95652),x95655))+E(f333(f333(f82(x95651),f333(f333(f333(f67(x95651,x95652,f82(x95651)),x95653),f79(x95651)),x95654)),f333(f333(f333(f67(x95651,x95652,f82(x95651)),x95653),f79(x95651)),x95655)),f333(f333(f333(f67(x95651,x95652,f82(x95651)),x95653),f79(x95651)),f333(f333(f115(f890(x95652,a874)),x95654),x95655)))
% 163.24/162.98 [9684]~P69(x96842)+E(f333(f333(f8(x96841,x96842),x96843),x96844),f333(f333(f8(x96841,x96842),x96843),x96845))+~P24(f333(f63(x96841),x96845))+~P24(f333(f333(f250(f890(x96841,a874)),x96844),x96845))+P24(f333(f333(f335(x96841),f355(x96843,x96844,x96845,x96841,x96842)),f333(f333(f3(f890(x96841,a874)),x96845),x96844)))
% 163.24/162.98 [9685]~P69(x96852)+E(f333(f333(f8(x96851,x96852),x96853),x96854),f333(f333(f8(x96851,x96852),x96853),x96855))+~P24(f333(f63(x96851),x96855))+~P24(f333(f333(f250(f890(x96851,a874)),x96854),x96855))+P24(f333(f333(f335(x96851),f361(x96853,x96854,x96855,x96851,x96852)),f333(f333(f3(f890(x96851,a874)),x96855),x96854)))
% 163.24/162.98 [9686]~P76(x96862)+E(f333(f333(f11(x96861,x96862),x96863),x96864),f333(f333(f11(x96861,x96862),x96863),x96865))+~P24(f333(f63(x96861),x96865))+~P24(f333(f333(f250(f890(x96861,a874)),x96864),x96865))+P24(f333(f333(f335(x96861),f356(x96863,x96864,x96865,x96861,x96862)),f333(f333(f3(f890(x96861,a874)),x96865),x96864)))
% 163.24/162.98 [9687]~P76(x96872)+E(f333(f333(f11(x96871,x96872),x96873),x96874),f333(f333(f11(x96871,x96872),x96873),x96875))+~P24(f333(f63(x96871),x96875))+~P24(f333(f333(f250(f890(x96871,a874)),x96874),x96875))+P24(f333(f333(f335(x96871),f360(x96873,x96874,x96875,x96871,x96872)),f333(f333(f3(f890(x96871,a874)),x96875),x96874)))
% 163.24/162.98 [9705]~P69(x97051)+~P24(f333(f63(x97052),x97054))+~P24(f333(f63(x97052),x97055))+E(f333(f333(f81(x97051),f333(f333(f8(x97052,x97051),x97053),x97054)),f333(f333(f8(x97052,x97051),x97053),x97055)),f333(f333(f8(x97052,x97051),x97053),f333(f333(f115(f890(x97052,a874)),x97054),x97055)))+P24(f333(f333(f335(x97052),f871(x97053,x97055,x97054,x97052,x97051)),f333(f333(f106(f890(x97052,a874)),x97054),x97055)))
% 163.24/162.98 [9706]~P69(x97061)+~P24(f333(f63(x97062),x97064))+~P24(f333(f63(x97062),x97065))+E(f333(f333(f81(x97061),f333(f333(f8(x97062,x97061),x97063),x97064)),f333(f333(f8(x97062,x97061),x97063),x97065)),f333(f333(f8(x97062,x97061),x97063),f333(f333(f115(f890(x97062,a874)),x97064),x97065)))+P24(f333(f333(f335(x97062),f872(x97063,x97065,x97064,x97062,x97061)),f333(f333(f106(f890(x97062,a874)),x97064),x97065)))
% 163.24/162.98 [9707]~P76(x97071)+~P24(f333(f63(x97072),x97074))+~P24(f333(f63(x97072),x97075))+E(f333(f333(f82(x97071),f333(f333(f11(x97072,x97071),x97073),x97074)),f333(f333(f11(x97072,x97071),x97073),x97075)),f333(f333(f11(x97072,x97071),x97073),f333(f333(f115(f890(x97072,a874)),x97074),x97075)))+P24(f333(f333(f335(x97072),f848(x97073,x97075,x97074,x97072,x97071)),f333(f333(f106(f890(x97072,a874)),x97074),x97075)))
% 163.24/162.98 [9708]~P76(x97081)+~P24(f333(f63(x97082),x97084))+~P24(f333(f63(x97082),x97085))+E(f333(f333(f82(x97081),f333(f333(f11(x97082,x97081),x97083),x97084)),f333(f333(f11(x97082,x97081),x97083),x97085)),f333(f333(f11(x97082,x97081),x97083),f333(f333(f115(f890(x97082,a874)),x97084),x97085)))+P24(f333(f333(f335(x97082),f849(x97083,x97085,x97084,x97082,x97081)),f333(f333(f106(f890(x97082,a874)),x97084),x97085)))
% 163.24/162.98 [9715]~P89(x97155)+~P24(f333(f63(x97151),x97154))+P24(f333(f333(f250(x97155),f333(f333(f8(x97151,x97155),x97152),x97153)),f333(f333(f8(x97151,x97155),x97152),x97154)))+~P24(f333(f333(f250(f890(x97151,a874)),x97153),x97154))+P24(f333(f333(f335(x97151),f357(x97152,x97153,x97154,x97151,x97155)),f333(f333(f3(f890(x97151,a874)),x97154),x97153)))
% 163.24/162.98 [9780]~P76(x97801)+~P24(f333(f63(x97802),x97804))+~P24(f333(f63(x97802),x97805))+E(f333(f333(f82(x97801),f333(f333(f333(f67(x97801,x97802,f82(x97801)),x97803),f79(x97801)),x97804)),f333(f333(f333(f67(x97801,x97802,f82(x97801)),x97803),f79(x97801)),x97805)),f333(f333(f333(f67(x97801,x97802,f82(x97801)),x97803),f79(x97801)),f333(f333(f115(f890(x97802,a874)),x97804),x97805)))+P24(f333(f333(f335(x97802),f854(x97803,x97805,x97804,x97802,x97801)),f333(f333(f106(f890(x97802,a874)),x97804),x97805)))
% 163.24/162.98 [8712]~P14(x87121,x87124,x87125)+~P24(f333(f63(x87121),x87122))+E(f333(f333(f3(f890(x87121,a874)),x87122),f333(f333(f311(x87121),x87123),f194(f890(x87121,a874)))),f194(f890(x87121,a874)))+~P24(f333(f333(f335(x87121),x87123),x87122))+E(f333(f333(x87124,x87123),f333(x87125,f333(f333(f3(f890(x87121,a874)),x87122),f333(f333(f311(x87121),x87123),f194(f890(x87121,a874)))))),f333(x87125,x87122))
% 163.24/162.98 [8786]~P14(x87861,x87864,x87865)+~P24(f333(f63(x87861),x87863))+~P24(f333(f63(x87861),x87862))+E(f333(f333(f106(f890(x87861,a874)),x87862),x87863),f194(f890(x87861,a874)))+E(f333(f333(x87864,f333(x87865,f333(f333(f115(f890(x87861,a874)),x87862),x87863))),f333(x87865,f333(f333(f106(f890(x87861,a874)),x87862),x87863))),f333(f333(x87864,f333(x87865,x87862)),f333(x87865,x87863)))
% 163.24/162.98 [9352]~P24(f333(f333(f250(a1),x93524),f2(a1)))+~P24(f333(f333(f251(a1),x93523),x93525))+P24(f333(f333(f250(a1),x93521),x93522))+~P24(f333(f333(f251(a1),x93523),x93524))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f82(a1),x93523),x93522)),x93525)),f333(f333(f81(a1),f333(f333(f82(a1),x93523),x93521)),x93524)))
% 163.24/162.98 [9359]~P24(f333(f333(f250(a1),f2(a1)),x93595))+P24(f333(f333(f250(a1),x93591),x93592))+~P24(f333(f333(f251(a1),x93593),x93594))+~P24(f333(f333(f251(a1),x93595),x93594))+~P24(f333(f333(f250(a1),f333(f333(f81(a1),f333(f333(f82(a1),x93594),x93591)),x93595)),f333(f333(f81(a1),f333(f333(f82(a1),x93594),x93592)),x93593)))
% 163.24/162.98 [9461]~P64(x94615)+E(f333(x94611,f349(x94611,x94612,x94613,x94614,x94615)),f2(x94615))+~P24(f333(f63(x94614),x94613))+~P24(f333(f63(x94614),x94612))+E(f333(f333(f291(x94615),f333(f333(f82(x94615),f333(f333(f11(x94614,x94615),x94611),x94613)),f333(f333(f11(x94614,x94615),x94611),x94612))),f333(f333(f11(x94614,x94615),x94611),f333(f333(f106(f890(x94614,a874)),x94613),x94612))),f333(f333(f11(x94614,x94615),x94611),f333(f333(f115(f890(x94614,a874)),x94613),x94612)))
% 163.24/162.98 [9773]~P64(x97731)+~P24(f333(f63(x97732),x97734))+~P24(f333(f63(x97732),x97735))+E(f333(f333(f291(x97731),f333(f333(f82(x97731),f333(f333(f11(x97732,x97731),x97733),x97734)),f333(f333(f11(x97732,x97731),x97733),x97735))),f333(f333(f11(x97732,x97731),x97733),f333(f333(f106(f890(x97732,a874)),x97734),x97735))),f333(f333(f11(x97732,x97731),x97733),f333(f333(f115(f890(x97732,a874)),x97734),x97735)))+P24(f333(f333(f335(x97732),f349(x97733,x97735,x97734,x97732,x97731)),f333(f333(f106(f890(x97732,a874)),x97734),x97735)))
% 163.24/162.98 [9054]E(f333(f333(f127(x90541),x90542),x90543),f333(f333(f127(x90541),x90544),x90545))+~E(f333(f333(f174(x90541),f333(f195(f881(x90541)),x90544)),x90542),x90544)+~E(f333(f333(f174(x90541),f333(f195(f881(x90541)),x90542)),x90544),x90542)+~E(x90545,f333(f333(f127(x90541),f333(f333(f139(x90541),f333(f195(f881(x90541)),x90544)),x90542)),x90543))+~E(f333(f333(f127(x90541),f333(f333(f139(x90541),f333(f195(f881(x90541)),x90542)),x90544)),x90545),x90543)
% 163.24/162.98 [9459]~P109(x94592)+E(f333(f333(f149(x94591,x94592,x94593),x94594),f171(x94591,x94594,x94595)),x94595)+~P31(x94592,f333(f333(f155(x94591,x94592),x94593),x94595))+~P24(f333(f333(f335(x94591),x94594),f333(f173(x94591),x94595)))+~E(f333(f142(x94591),f333(f137(x94591,f333(f333(f10(x94592,a874,x94591),f333(a330,f333(x94593,x94594))),x94593)),x94595)),x94594)
% 163.24/162.98 [9833]~P73(x98331)+~P24(f333(f68(x98331,x98331,f82(x98331),x98332,x98333),x98335))+~P24(f333(f333(f335(x98331),x98334),x98333))+P24(f333(f333(f335(x98331),x98332),x98333))+P24(f333(f68(x98331,x98331,f82(x98331),x98334,f333(f333(f311(x98331),x98332),f333(f333(f3(f890(x98331,a874)),x98333),f333(f333(f311(x98331),x98334),f194(f890(x98331,a874)))))),x98335))
% 163.24/162.98 [7236]E(x72361,x72362)+~P21(x72364,x72365,x72363,x72366)+~E(f333(x72363,x72361),f333(x72363,x72362))+~P24(f333(f333(f335(x72364),x72362),x72366))+~P24(f333(f333(f335(x72364),x72361),x72366))
% 163.24/162.98 [6510]~P137(x65104)+E(x65101,x65102)+~E(x65105,x65106)+E(x65103,f2(x65104))+~E(f333(f333(f81(x65104),x65105),f333(f333(f82(x65104),x65103),x65101)),f333(f333(f81(x65104),x65106),f333(f333(f82(x65104),x65103),x65102)))
% 163.24/162.98 [7515]~P29(x75151)+~P109(x75151)+~P24(f333(f333(f251(x75151),x75152),f333(x75155,x75156)))+~P24(f333(f333(f335(x75153),x75156),x75154))+P24(f333(f333(f251(x75151),x75152),f333(f333(f44(x75153,x75151),x75154),x75155)))
% 163.24/162.98 [8198]~P29(x81981)+~P109(x81981)+~P24(f333(f333(f251(x81981),f333(x81984,x81986)),x81985))+~P24(f333(f333(f335(x81982),x81986),x81983))+P24(f333(f333(f251(x81981),f333(f333(f43(x81982,x81981),x81983),x81984)),x81985))
% 163.24/162.98 [8454]~P15(x84542,x84545,x84546,x84541)+~P24(f333(f63(x84542),x84544))+~P24(f333(f63(x84542),x84543))+~E(f333(f333(f106(f890(x84542,a874)),x84543),x84544),f194(f890(x84542,a874)))+E(f333(x84541,f333(f333(f115(f890(x84542,a874)),x84543),x84544)),f333(f74(x84545,x84545,x84545,f333(x84541,x84543)),f333(x84541,x84544)))
% 163.24/162.98 [8755]E(x87551,x87552)+~P56(x87554,x87555,x87556,x87553,x87557)+~E(f333(x87553,x87551),f333(x87553,x87552))+~P24(f333(f333(f335(x87555),x87552),x87557))+~P24(f333(f333(f335(x87555),x87551),x87557))
% 163.24/162.98 [10055]~P24(f333(x100552,x100554))+~E(x100555,f333(f137(x100551,x100552),x100557))+E(f333(f137(x100551,x100552),x100553),f333(f333(f152(x100551),x100554),x100555))+~E(x100553,f333(f333(f127(x100551),x100556),f333(f333(f152(x100551),x100554),x100557)))+P24(f333(x100552,f752(x100555,x100554,x100553,x100552,x100551,x100556,x100557)))
% 163.24/162.98 [10056]~P24(f333(x100564,x100562))+~E(x100563,f333(f137(x100561,x100564),x100567))+E(f333(f333(f152(x100561),x100562),x100563),f333(f137(x100561,x100564),x100565))+~E(x100565,f333(f333(f127(x100561),x100566),f333(f333(f152(x100561),x100562),x100567)))+P24(f333(x100564,f754(x100565,x100564,x100563,x100562,x100561,x100566,x100567)))
% 163.24/162.98 [10097]~P24(f333(x100972,x100974))+~E(x100975,f333(f137(x100971,x100972),x100977))+E(f333(f137(x100971,x100972),x100973),f333(f333(f152(x100971),x100974),x100975))+~E(x100973,f333(f333(f127(x100971),x100976),f333(f333(f152(x100971),x100974),x100977)))+P24(f333(f333(f335(x100971),f752(x100975,x100974,x100973,x100972,x100971,x100976,x100977)),f333(f173(x100971),x100976)))
% 163.24/162.98 [10098]~P24(f333(x100984,x100982))+~E(x100983,f333(f137(x100981,x100984),x100987))+E(f333(f333(f152(x100981),x100982),x100983),f333(f137(x100981,x100984),x100985))+~E(x100985,f333(f333(f127(x100981),x100986),f333(f333(f152(x100981),x100982),x100987)))+P24(f333(f333(f335(x100981),f754(x100985,x100984,x100983,x100982,x100981,x100986,x100987)),f333(f173(x100981),x100986)))
% 163.24/162.98 [10102]~P6(x101021,x101027,x101026)+~P9(x101021,f890(x101025,a874),x101026,x101024)+P24(f333(f333(f335(x101021),f564(x101022,x101023,x101024,x101025,x101026,x101027,x101021)),x101027))+~P24(f333(f333(f335(f890(x101021,a874)),x101023),f333(f333(f62(x101021),x101027),x101026)))+P24(f333(f333(f335(f890(x101025,a874)),f333(f333(f44(x101021,f890(x101025,a874)),x101023),x101024)),x101022))
% 163.24/162.98 [10172]~P6(x101722,x101726,x101727)+~P9(x101722,f890(x101721,a874),x101727,x101724)+~P24(f333(f333(f335(f890(x101722,a874)),x101723),f333(f333(f62(x101722),x101726),x101727)))+~P24(f333(f333(f335(f890(x101721,a874)),f333(x101724,f564(x101725,x101723,x101724,x101721,x101727,x101726,x101722))),x101725))+P24(f333(f333(f335(f890(x101721,a874)),f333(f333(f44(x101722,f890(x101721,a874)),x101723),x101724)),x101725))
% 163.24/162.98 [8362]~P76(x83622)+~P21(x83621,x83625,x83628,x83624)+~E(x83623,f333(f74(x83625,x83622,x83621,x83626),x83628))+~E(x83627,f333(f312(x83621,x83625,x83628),x83624))+E(f333(f333(f11(x83621,x83622),x83623),x83624),f333(f333(f11(x83625,x83622),x83626),x83627))
% 163.24/162.98 [10180]~P76(x101802)+~P21(x101805,x101801,x101808,x101807)+~E(f333(x101806,f533(x101803,x101806,x101804,x101807,x101808,x101801,x101805,x101802)),f333(f333(f74(x101801,x101802,x101805,x101803),x101808),f533(x101803,x101806,x101804,x101807,x101808,x101801,x101805,x101802)))+~E(x101804,f333(f312(x101805,x101801,x101808),x101807))+E(f333(f333(f11(x101801,x101802),x101803),x101804),f333(f333(f11(x101805,x101802),x101806),x101807))
% 163.24/162.98 [10186]~P69(x101862)+~P21(x101861,x101865,x101868,x101864)+~E(x101867,f333(f312(x101861,x101865,x101868),x101864))+E(f333(f333(f8(x101861,x101862),x101863),x101864),f333(f333(f8(x101865,x101862),x101866),x101867))+P24(f333(f333(f335(x101861),f384(x101866,x101863,x101867,x101864,x101868,x101865,x101861,x101862)),x101864))
% 163.24/162.98 [10187]~P76(x101872)+~P21(x101871,x101875,x101878,x101874)+~E(x101877,f333(f312(x101871,x101875,x101878),x101874))+E(f333(f333(f11(x101871,x101872),x101873),x101874),f333(f333(f11(x101875,x101872),x101876),x101877))+P24(f333(f333(f335(x101871),f533(x101876,x101873,x101877,x101874,x101878,x101875,x101871,x101872)),x101874))
% 163.24/162.98 [10192]~P69(x101922)+~P21(x101925,x101921,x101928,x101927)+~E(x101924,f333(f312(x101925,x101921,x101928),x101927))+~E(f333(x101926,f384(x101923,x101926,x101924,x101927,x101928,x101921,x101925,x101922)),f333(x101923,f333(x101928,f384(x101923,x101926,x101924,x101927,x101928,x101921,x101925,x101922))))+E(f333(f333(f8(x101921,x101922),x101923),x101924),f333(f333(f8(x101925,x101922),x101926),x101927))
% 163.24/162.98 [9529]~E(f333(f195(f881(x95292)),x95295),f333(f195(f881(x95291)),x95293))+~E(f333(f195(f881(x95292)),x95294),f333(f195(f881(x95291)),x95293))+~E(f333(f333(f333(f73(x95291,f884(x95292)),f333(f178(x95291,x95292),f333(f333(f182(x95291,x95292),x95293),x95294))),x95296),f333(f242(x95292),x95297)),f333(f333(f333(f73(x95291,f884(x95292)),f333(f178(x95291,x95292),f333(f333(f182(x95291,x95292),x95293),x95295))),x95296),f333(f242(x95292),x95298)))+E(f333(f178(x95291,x95292),f333(f333(f182(x95291,x95292),x95293),x95294)),f333(f178(x95291,x95292),f333(f333(f182(x95291,x95292),x95293),x95295)))+P24(f333(f333(f335(x95291),x95296),f333(f173(x95291),x95293)))
% 163.24/162.98 [9655]~P19(x96556,x96552,x96555,x96557,x96558,x96551)+~P24(f333(f63(x96552),x96554))+~P24(f333(f63(x96552),x96553))+~E(f333(f333(f106(f890(x96552,a874)),x96553),x96554),f194(f890(x96552,a874)))+E(f333(x96551,f333(f333(f115(f890(x96552,a874)),x96553),x96554)),f333(f333(x96555,f333(x96551,x96553)),f333(x96551,x96554)))
% 163.24/162.98 [10044]~P19(x100448,x100442,x100445,x100447,x100446,x100441)+~E(f333(x100446,f661(x100444,x100443,x100441,x100446,x100447,x100445,x100442)),x100447)+~P24(f333(f63(x100442),x100443))+~P24(f333(f63(x100442),x100444))+E(f333(x100441,f333(f333(f115(f890(x100442,a874)),x100443),x100444)),f333(f333(x100445,f333(x100441,x100443)),f333(x100441,x100444)))
% 163.24/162.98 [10107]~P19(x101078,x101072,x101075,x101077,x101076,x101071)+~P24(f333(f63(x101072),x101073))+~P24(f333(f63(x101072),x101074))+E(f333(x101071,f333(f333(f115(f890(x101072,a874)),x101073),x101074)),f333(f333(x101075,f333(x101071,x101073)),f333(x101071,x101074)))+P24(f333(f333(f335(x101072),f661(x101074,x101073,x101071,x101076,x101077,x101075,x101072)),f333(f333(f106(f890(x101072,a874)),x101073),x101074)))
% 163.24/162.98 [9822]~P6(x98224,x98228,x98225)+~P6(x98221,x98229,x98223)+~P10(x98221,x98224,f890(x98222,a874),x98223,x98225,x98227)+P9(x98221,f890(x98222,a874),x98223,f333(f333(f10(f890(x98224,f890(x98222,a874)),f890(x98222,a874),x98221),f333(f44(x98224,f890(x98222,a874)),f333(f287(x98224,x98224,x98225),f333(f333(f311(x98224),x98226),f194(f890(x98224,a874)))))),x98227))+~P24(f333(f333(f335(x98224),x98226),x98228))
% 163.24/162.98 [5444]~P109(x54443)+~P31(x54443,x54441)+E(x54441,f723(x54442,x54443))+~E(f333(f173(x54443),x54441),x54442)+~P24(f333(f63(x54443),x54442))+~P24(f333(f138(x54443),x54441))
% 163.24/162.98 [5066]~P127(x50662)+~P128(x50662)+~P142(x50662)+~P113(x50662)+E(x50661,f2(x50662))+~E(f333(f333(f264(x50662),x50661),x50663),f2(x50662))
% 163.24/162.98 [5067]~P127(x50672)+~P128(x50672)+~P142(x50672)+~P113(x50672)+~E(x50671,f2(a880))+~E(f333(f333(f264(x50672),x50673),x50671),f2(x50672))
% 163.24/162.98 [6492]~P89(x64921)+~E(x64923,f2(x64921))+~E(x64922,f2(x64921))+E(f333(f333(f81(x64921),x64922),x64923),f2(x64921))+~P24(f333(f333(f250(x64921),f2(x64921)),x64923))+~P24(f333(f333(f250(x64921),f2(x64921)),x64922))
% 163.24/162.98 [8820]~E(f333(f262(a880,a880),x88203),f2(a880))+~E(x88201,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x88203)),x88202)),f333(f271(a880,a880),x88203)))+P24(f333(f49(x88201,x88202),x88203))+~P24(f333(f333(f250(a880),f333(f271(a880,a880),x88203)),f2(a880)))+P24(f333(f333(f251(a880),f2(a880)),x88202))+~P24(f333(f333(f251(a880),x88202),f333(f271(a880,a880),x88203)))
% 163.24/162.98 [8828]E(x88281,f2(a880))+~E(x88282,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x88283)),x88281)),f333(f271(a880,a880),x88283)))+P24(f333(f49(x88282,x88281),x88283))+~P24(f333(f333(f251(a880),f2(a880)),x88281))+~P24(f333(f333(f250(a880),f2(a880)),f333(f271(a880,a880),x88283)))+~P24(f333(f333(f251(a880),f333(f271(a880,a880),x88283)),x88281))
% 163.24/162.98 [8846]~E(f333(f262(a880,a880),x88463),f2(a880))+~E(x88461,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x88463)),x88462)),f333(f271(a880,a880),x88463)))+P24(f333(f49(x88461,x88462),x88463))+~P24(f333(f333(f251(a880),f2(a880)),x88462))+~P24(f333(f333(f250(a880),f2(a880)),f333(f271(a880,a880),x88463)))+~P24(f333(f333(f251(a880),f333(f271(a880,a880),x88463)),x88462))
% 163.24/162.98 [6861]~P26(x68612)+E(x68611,f194(f890(x68612,a874)))+E(x68613,f194(f890(x68612,a874)))+~P24(f333(f63(x68612),x68611))+~P24(f333(f63(x68612),x68613))+E(f12(x68612,f333(f333(f115(f890(x68612,a874)),x68613),x68611)),f333(f333(f115(x68612),f12(x68612,x68613)),f12(x68612,x68611)))
% 163.24/162.98 [6862]~P26(x68622)+E(x68621,f194(f890(x68622,a874)))+E(x68623,f194(f890(x68622,a874)))+~P24(f333(f63(x68622),x68621))+~P24(f333(f63(x68622),x68623))+E(f13(x68622,f333(f333(f115(f890(x68622,a874)),x68623),x68621)),f333(f333(f106(x68622),f13(x68622,x68623)),f13(x68622,x68621)))
% 163.24/162.98 [6863]~P109(x68632)+E(x68631,f194(f890(x68632,a874)))+E(x68633,f194(f890(x68632,a874)))+~P24(f333(f63(x68632),x68631))+~P24(f333(f63(x68632),x68633))+E(f16(x68632,f333(f333(f115(f890(x68632,a874)),x68633),x68631)),f333(f333(f248(x68632),f16(x68632,x68633)),f16(x68632,x68631)))
% 163.24/162.98 [6864]~P109(x68642)+E(x68641,f194(f890(x68642,a874)))+E(x68643,f194(f890(x68642,a874)))+~P24(f333(f63(x68642),x68641))+~P24(f333(f63(x68642),x68643))+E(f17(x68642,f333(f333(f115(f890(x68642,a874)),x68643),x68641)),f333(f333(f249(x68642),f17(x68642,x68643)),f17(x68642,x68641)))
% 163.24/162.98 [7490]~P97(x74902)+E(x74901,f194(f890(x74902,a874)))+E(x74903,f194(f890(x74902,a874)))+~P24(f333(f63(x74902),x74901))+~P24(f333(f63(x74902),x74903))+E(f333(f333(f82(x74902),f333(f65(x74902,f82(x74902)),x74903)),f333(f65(x74902,f82(x74902)),x74901)),f333(f65(x74902,f82(x74902)),f333(f333(f115(f890(x74902,a874)),x74903),x74901)))
% 163.24/162.98 [7644]~P109(x76442)+E(x76441,f194(f890(x76442,a874)))+E(x76443,f194(f890(x76442,a874)))+~P24(f333(f63(x76442),x76441))+~P24(f333(f63(x76442),x76443))+E(f333(f333(f248(x76442),f14(x76442,f248(x76442),x76443)),f14(x76442,f248(x76442),x76441)),f14(x76442,f248(x76442),f333(f333(f115(f890(x76442,a874)),x76443),x76441)))
% 163.24/162.98 [7645]~P109(x76452)+E(x76451,f194(f890(x76452,a874)))+E(x76453,f194(f890(x76452,a874)))+~P24(f333(f63(x76452),x76451))+~P24(f333(f63(x76452),x76453))+E(f333(f333(f249(x76452),f15(x76452,f249(x76452),x76453)),f15(x76452,f249(x76452),x76451)),f15(x76452,f249(x76452),f333(f333(f115(f890(x76452,a874)),x76453),x76451)))
% 163.24/162.98 [8666]~P24(f333(x86661,x86663))+P24(f333(x86661,f447(x86661,x86662)))+P24(f333(x86661,f431(x86661,x86662)))+~P24(f333(f333(f251(a1),f2(a1)),x86662))+~P24(f333(f333(f335(a1),x86663),f304(a1,f79(a1),x86662)))+P24(f333(x86661,f333(f333(f3(a1),f431(x86661,x86662)),f333(f333(f82(a1),f446(x86661,x86662)),x86662))))
% 163.24/162.98 [8967]~P24(f333(x89671,x89673))+~P24(f333(x89671,f431(x89671,x89672)))+P24(f333(x89671,f447(x89671,x89672)))+~P24(f333(f333(f251(a1),f2(a1)),x89672))+~P24(f333(f333(f335(a1),x89673),f304(a1,f79(a1),x89672)))+~P24(f333(x89671,f333(f333(f3(a1),f431(x89671,x89672)),f333(f333(f82(a1),f446(x89671,x89672)),x89672))))
% 163.24/162.98 [10224]~P99(x102242)+E(x102241,f194(f890(x102242,a874)))+E(x102243,f194(f890(x102242,a874)))+~P24(f333(f63(x102242),x102241))+~P24(f333(f63(x102242),x102243))+E(f13(x102242,f333(f255(x102242),f333(f333(f10(f890(x102242,a874),a874,x102242),f87(x102242)),f333(f333(f10(f890(x102242,f890(x102242,a874)),f890(x102242,a874),x102242),f333(f10(f890(x102242,a874),a874,x102242),f87(x102242))),f333(f333(f9(x102242,f890(x102242,f890(x102242,a874)),f890(x102242,f890(x102242,a874))),f333(f333(f10(f890(x102242,f890(f890(x102242,a874),f890(x102242,a874))),f890(f890(x102242,f890(x102242,a874)),f890(x102242,f890(x102242,a874))),x102242),f20(x102242,f890(x102242,a874),f890(x102242,a874))),f333(f333(f10(f890(x102242,f890(x102242,f890(a874,a874))),f890(x102242,f890(f890(x102242,a874),f890(x102242,a874))),x102242),f333(f10(f890(x102242,f890(a874,a874)),f890(f890(x102242,a874),f890(x102242,a874)),x102242),f20(x102242,a874,a874))),f333(f333(f10(f890(x102242,f890(x102242,a874)),f890(x102242,f890(x102242,f890(a874,a874))),x102242),f333(f10(f890(x102242,a874),f890(x102242,f890(a874,a874)),x102242),f333(f10(a874,f890(a874,a874),x102242),a331))),f333(f333(f9(x102242,f890(x102242,f890(x102242,x102242)),f890(x102242,f890(x102242,a874))),f333(f333(f10(f890(f890(x102242,x102242),f890(x102242,a874)),f890(f890(x102242,f890(x102242,x102242)),f890(x102242,f890(x102242,a874))),x102242),f10(f890(x102242,x102242),f890(x102242,a874),x102242)),f333(f333(f10(f890(x102242,a874),f890(f890(x102242,x102242),f890(x102242,a874)),x102242),f10(x102242,a874,x102242)),a330))),f115(x102242)))))),f333(f333(f9(x102242,f890(x102242,a874),f890(x102242,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x102242,a874),f890(x102242,a874)),x102242),f10(a874,a874,x102242)),f333(f333(f10(a874,f890(a874,a874),x102242),a331),f333(f333(f9(x102242,f890(x102242,a874),a874),f335(x102242)),x102243)))),f333(f333(f9(x102242,f890(x102242,a874),a874),f335(x102242)),x102241))))))),f333(f333(f115(x102242),f13(x102242,x102243)),f13(x102242,x102241)))
% 163.24/162.98 [10225]~P99(x102252)+E(x102251,f194(f890(x102252,a874)))+E(x102253,f194(f890(x102252,a874)))+~P24(f333(f63(x102252),x102251))+~P24(f333(f63(x102252),x102253))+E(f12(x102252,f333(f255(x102252),f333(f333(f10(f890(x102252,a874),a874,x102252),f87(x102252)),f333(f333(f10(f890(x102252,f890(x102252,a874)),f890(x102252,a874),x102252),f333(f10(f890(x102252,a874),a874,x102252),f87(x102252))),f333(f333(f9(x102252,f890(x102252,f890(x102252,a874)),f890(x102252,f890(x102252,a874))),f333(f333(f10(f890(x102252,f890(f890(x102252,a874),f890(x102252,a874))),f890(f890(x102252,f890(x102252,a874)),f890(x102252,f890(x102252,a874))),x102252),f20(x102252,f890(x102252,a874),f890(x102252,a874))),f333(f333(f10(f890(x102252,f890(x102252,f890(a874,a874))),f890(x102252,f890(f890(x102252,a874),f890(x102252,a874))),x102252),f333(f10(f890(x102252,f890(a874,a874)),f890(f890(x102252,a874),f890(x102252,a874)),x102252),f20(x102252,a874,a874))),f333(f333(f10(f890(x102252,f890(x102252,a874)),f890(x102252,f890(x102252,f890(a874,a874))),x102252),f333(f10(f890(x102252,a874),f890(x102252,f890(a874,a874)),x102252),f333(f10(a874,f890(a874,a874),x102252),a331))),f333(f333(f9(x102252,f890(x102252,f890(x102252,x102252)),f890(x102252,f890(x102252,a874))),f333(f333(f10(f890(f890(x102252,x102252),f890(x102252,a874)),f890(f890(x102252,f890(x102252,x102252)),f890(x102252,f890(x102252,a874))),x102252),f10(f890(x102252,x102252),f890(x102252,a874),x102252)),f333(f333(f10(f890(x102252,a874),f890(f890(x102252,x102252),f890(x102252,a874)),x102252),f10(x102252,a874,x102252)),a330))),f106(x102252)))))),f333(f333(f9(x102252,f890(x102252,a874),f890(x102252,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x102252,a874),f890(x102252,a874)),x102252),f10(a874,a874,x102252)),f333(f333(f10(a874,f890(a874,a874),x102252),a331),f333(f333(f9(x102252,f890(x102252,a874),a874),f335(x102252)),x102253)))),f333(f333(f9(x102252,f890(x102252,a874),a874),f335(x102252)),x102251))))))),f333(f333(f106(x102252),f12(x102252,x102253)),f12(x102252,x102251)))
% 163.24/162.98 [10226]~P109(x102262)+E(x102261,f194(f890(x102262,a874)))+E(x102263,f194(f890(x102262,a874)))+~P24(f333(f63(x102262),x102261))+~P24(f333(f63(x102262),x102263))+E(f15(x102262,f249(x102262),f333(f255(x102262),f333(f333(f10(f890(x102262,a874),a874,x102262),f87(x102262)),f333(f333(f10(f890(x102262,f890(x102262,a874)),f890(x102262,a874),x102262),f333(f10(f890(x102262,a874),a874,x102262),f87(x102262))),f333(f333(f9(x102262,f890(x102262,f890(x102262,a874)),f890(x102262,f890(x102262,a874))),f333(f333(f10(f890(x102262,f890(f890(x102262,a874),f890(x102262,a874))),f890(f890(x102262,f890(x102262,a874)),f890(x102262,f890(x102262,a874))),x102262),f20(x102262,f890(x102262,a874),f890(x102262,a874))),f333(f333(f10(f890(x102262,f890(x102262,f890(a874,a874))),f890(x102262,f890(f890(x102262,a874),f890(x102262,a874))),x102262),f333(f10(f890(x102262,f890(a874,a874)),f890(f890(x102262,a874),f890(x102262,a874)),x102262),f20(x102262,a874,a874))),f333(f333(f10(f890(x102262,f890(x102262,a874)),f890(x102262,f890(x102262,f890(a874,a874))),x102262),f333(f10(f890(x102262,a874),f890(x102262,f890(a874,a874)),x102262),f333(f10(a874,f890(a874,a874),x102262),a331))),f333(f333(f9(x102262,f890(x102262,f890(x102262,x102262)),f890(x102262,f890(x102262,a874))),f333(f333(f10(f890(f890(x102262,x102262),f890(x102262,a874)),f890(f890(x102262,f890(x102262,x102262)),f890(x102262,f890(x102262,a874))),x102262),f10(f890(x102262,x102262),f890(x102262,a874),x102262)),f333(f333(f10(f890(x102262,a874),f890(f890(x102262,x102262),f890(x102262,a874)),x102262),f10(x102262,a874,x102262)),a330))),f248(x102262)))))),f333(f333(f9(x102262,f890(x102262,a874),f890(x102262,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x102262,a874),f890(x102262,a874)),x102262),f10(a874,a874,x102262)),f333(f333(f10(a874,f890(a874,a874),x102262),a331),f333(f333(f9(x102262,f890(x102262,a874),a874),f335(x102262)),x102263)))),f333(f333(f9(x102262,f890(x102262,a874),a874),f335(x102262)),x102261))))))),f333(f333(f248(x102262),f15(x102262,f249(x102262),x102263)),f15(x102262,f249(x102262),x102261)))
% 163.24/162.98 [10227]~P109(x102272)+E(x102271,f194(f890(x102272,a874)))+E(x102273,f194(f890(x102272,a874)))+~P24(f333(f63(x102272),x102271))+~P24(f333(f63(x102272),x102273))+E(f14(x102272,f248(x102272),f333(f255(x102272),f333(f333(f10(f890(x102272,a874),a874,x102272),f87(x102272)),f333(f333(f10(f890(x102272,f890(x102272,a874)),f890(x102272,a874),x102272),f333(f10(f890(x102272,a874),a874,x102272),f87(x102272))),f333(f333(f9(x102272,f890(x102272,f890(x102272,a874)),f890(x102272,f890(x102272,a874))),f333(f333(f10(f890(x102272,f890(f890(x102272,a874),f890(x102272,a874))),f890(f890(x102272,f890(x102272,a874)),f890(x102272,f890(x102272,a874))),x102272),f20(x102272,f890(x102272,a874),f890(x102272,a874))),f333(f333(f10(f890(x102272,f890(x102272,f890(a874,a874))),f890(x102272,f890(f890(x102272,a874),f890(x102272,a874))),x102272),f333(f10(f890(x102272,f890(a874,a874)),f890(f890(x102272,a874),f890(x102272,a874)),x102272),f20(x102272,a874,a874))),f333(f333(f10(f890(x102272,f890(x102272,a874)),f890(x102272,f890(x102272,f890(a874,a874))),x102272),f333(f10(f890(x102272,a874),f890(x102272,f890(a874,a874)),x102272),f333(f10(a874,f890(a874,a874),x102272),a331))),f333(f333(f9(x102272,f890(x102272,f890(x102272,x102272)),f890(x102272,f890(x102272,a874))),f333(f333(f10(f890(f890(x102272,x102272),f890(x102272,a874)),f890(f890(x102272,f890(x102272,x102272)),f890(x102272,f890(x102272,a874))),x102272),f10(f890(x102272,x102272),f890(x102272,a874),x102272)),f333(f333(f10(f890(x102272,a874),f890(f890(x102272,x102272),f890(x102272,a874)),x102272),f10(x102272,a874,x102272)),a330))),f249(x102272)))))),f333(f333(f9(x102272,f890(x102272,a874),f890(x102272,a874)),f333(f333(f10(f890(a874,a874),f890(f890(x102272,a874),f890(x102272,a874)),x102272),f10(a874,a874,x102272)),f333(f333(f10(a874,f890(a874,a874),x102272),a331),f333(f333(f9(x102272,f890(x102272,a874),a874),f335(x102272)),x102273)))),f333(f333(f9(x102272,f890(x102272,a874),a874),f335(x102272)),x102271))))))),f333(f333(f249(x102272),f14(x102272,f248(x102272),x102273)),f14(x102272,f248(x102272),x102271)))
% 163.24/162.98 [7187]~P123(x71873)+E(x71871,x71872)+~E(f333(f333(f264(x71873),x71871),x71874),f333(f333(f264(x71873),x71872),x71874))+~P24(f333(f333(f250(x71873),f2(x71873)),x71872))+~P24(f333(f333(f250(x71873),f2(x71873)),x71871))+~P24(f333(f333(f251(a880),f2(a880)),x71874))
% 163.24/162.98 [7450]~P109(x74502)+E(x74501,f194(f890(x74502,a874)))+~P24(f333(f63(x74502),x74501))+~P24(f333(f333(f335(x74502),x74504),x74501))+P24(f333(f333(f251(x74502),x74503),x74504))+~P24(f333(f333(f251(x74502),x74503),f333(f65(x74502,f248(x74502)),x74501)))
% 163.24/162.98 [7451]~P102(x74512)+E(x74511,f194(f890(x74512,a874)))+~P24(f333(f63(x74512),x74511))+~P24(f333(f333(f335(x74512),x74514),x74511))+P24(f333(f333(f250(x74512),x74513),x74514))+~P24(f333(f333(f250(x74512),x74513),f333(f65(x74512,f106(x74512)),x74511)))
% 163.24/162.98 [7452]~P109(x74522)+E(x74521,f194(f890(x74522,a874)))+~P24(f333(f63(x74522),x74521))+~P24(f333(f333(f335(x74522),x74524),x74521))+P24(f333(f333(f250(x74522),x74523),x74524))+~P24(f333(f333(f250(x74522),x74523),f333(f65(x74522,f248(x74522)),x74521)))
% 163.24/162.98 [7352]E(x73521,f2(a1))+E(f333(f333(f40(a1),x73522),x73521),x73523)+~P24(f333(f333(f250(a1),x73524),f2(a1)))+~E(x73522,f333(f333(f81(a1),f333(f333(f82(a1),x73521),x73523)),x73524))+P24(f333(f333(f251(a1),f2(a1)),x73521))+~P24(f333(f333(f251(a1),x73521),x73524))
% 163.24/162.98 [7366]E(f46(a1,x73662,x73661),x73663)+E(x73661,f2(a1))+~P24(f333(f333(f250(a1),x73663),f2(a1)))+~E(x73662,f333(f333(f81(a1),f333(f333(f82(a1),x73661),x73664)),x73663))+P24(f333(f333(f251(a1),f2(a1)),x73661))+~P24(f333(f333(f251(a1),x73661),x73663))
% 163.24/162.98 [7489]E(x74891,f2(a1))+E(f333(f333(f40(a1),x74892),x74891),x74893)+~E(x74892,f333(f333(f81(a1),f333(f333(f82(a1),x74891),x74893)),x74894))+~P24(f333(f333(f251(a1),f2(a1)),x74891))+~P24(f333(f333(f250(a1),f2(a1)),x74894))+~P24(f333(f333(f251(a1),x74894),x74891))
% 163.24/162.98 [7511]E(f46(a1,x75112,x75111),x75113)+E(x75111,f2(a1))+~E(x75112,f333(f333(f81(a1),f333(f333(f82(a1),x75111),x75114)),x75113))+~P24(f333(f333(f251(a1),f2(a1)),x75111))+~P24(f333(f333(f250(a1),f2(a1)),x75113))+~P24(f333(f333(f251(a1),x75113),x75111))
% 163.24/162.98 [7648]~P109(x76482)+E(x76481,f194(f890(x76482,a874)))+~P24(f333(f63(x76482),x76481))+~P24(f333(f333(f251(x76482),x76484),x76483))+~P24(f333(f333(f335(x76482),x76484),x76481))+P24(f333(f333(f251(x76482),f333(f65(x76482,f248(x76482)),x76481)),x76483))
% 163.24/162.98 [7649]~P109(x76492)+E(x76491,f194(f890(x76492,a874)))+~P24(f333(f63(x76492),x76491))+~P24(f333(f333(f250(x76492),x76494),x76493))+~P24(f333(f333(f335(x76492),x76494),x76491))+P24(f333(f333(f250(x76492),f333(f65(x76492,f248(x76492)),x76491)),x76493))
% 163.24/162.98 [8221]~P24(f333(f333(f250(a1),x82214),f2(a1)))+~E(x82211,f333(f333(f81(a1),f333(f333(f82(a1),x82212),x82213)),x82214))+~P24(f333(f333(f250(a1),f2(a1)),x82214))+~P24(f333(f333(f251(a1),x82214),x82212))+~P24(f333(f333(f251(a1),x82212),x82214))+P24(f333(f50(x82211,x82212),f333(f333(f263(a1,a1),x82213),x82214)))
% 163.24/162.98 [9156]~P62(x91563)+~P62(x91564)+E(x91561,x91562)+~E(f333(f195(f881(x91563)),x91562),f333(f195(f881(x91564)),f57(x91564)))+~E(f333(f195(f881(x91563)),x91561),f333(f195(f881(x91564)),f57(x91564)))+~E(f333(f74(f884(x91563),x91563,x91564,f246(x91563)),f333(f178(x91564,x91563),f333(f333(f182(x91564,x91563),f57(x91564)),x91561))),f333(f74(f884(x91563),x91563,x91564,f246(x91563)),f333(f178(x91564,x91563),f333(f333(f182(x91564,x91563),f57(x91564)),x91562))))
% 163.24/162.98 [8383]~P110(x83831)+P24(f333(f333(f251(f890(x83831,a874)),f304(x83831,x83832,x83833)),f304(x83831,x83834,x83835)))+~P24(f333(f333(f251(x83831),x83833),x83835))+~P24(f333(f333(f250(x83831),x83834),x83832))+~P24(f333(f333(f250(x83831),x83834),x83835))+~P24(f333(f333(f250(x83831),x83833),x83835))
% 163.24/162.98 [8384]~P110(x83841)+P24(f333(f333(f251(f890(x83841,a874)),f304(x83841,x83842,x83843)),f304(x83841,x83844,x83845)))+~P24(f333(f333(f251(x83841),x83844),x83842))+~P24(f333(f333(f250(x83841),x83843),x83845))+~P24(f333(f333(f250(x83841),x83844),x83845))+~P24(f333(f333(f250(x83841),x83844),x83842))
% 163.24/162.98 [9219]P58(x92192,x92193,x92194,x92191)+E(x92191,f194(f890(x92192,a874)))+~P24(f333(f63(x92192),x92194))+~P24(f333(f63(x92192),x92191))+~P24(f333(f333(x92193,f707(x92191,x92194,x92193,x92192)),x92195))+~P24(f333(f333(f335(x92192),x92195),x92191))
% 163.24/162.98 [9376]~E(x93763,x93765)+~P69(x93761)+~P76(x93761)+~P42(x93763)+E(f333(f333(f8(a1,x93761),x93762),x93763),f333(f333(f8(a1,x93761),x93764),x93765))+P24(f333(f333(f250(a1),f2(a1)),f698(x93762,x93764,x93763,x93765,x93761)))
% 163.24/162.98 [9377]~E(x93773,x93775)+~P69(x93771)+~P76(x93771)+~P42(x93773)+E(f333(f333(f11(a1,x93771),x93772),x93773),f333(f333(f11(a1,x93771),x93774),x93775))+P24(f333(f333(f250(a1),f2(a1)),f691(x93772,x93774,x93773,x93775,x93771)))
% 163.24/162.98 [9550]~E(x95505,x95503)+~P69(x95501)+~P76(x95501)+~P42(x95505)+~E(f333(x95502,f698(x95504,x95502,x95505,x95503,x95501)),f333(x95504,f698(x95504,x95502,x95505,x95503,x95501)))+E(f333(f333(f8(a1,x95501),x95502),x95503),f333(f333(f8(a1,x95501),x95504),x95505))
% 163.24/162.98 [9551]~E(x95515,x95513)+~P69(x95511)+~P76(x95511)+~P42(x95515)+~E(f333(x95512,f691(x95514,x95512,x95515,x95513,x95511)),f333(x95514,f691(x95514,x95512,x95515,x95513,x95511)))+E(f333(f333(f11(a1,x95511),x95512),x95513),f333(f333(f11(a1,x95511),x95514),x95515))
% 163.24/162.98 [9651]~P81(x96513)+E(f333(x96511,x96512),f2(x96513))+~E(f333(f333(f8(x96514,x96513),x96511),x96515),f2(x96513))+~P24(f333(f63(x96514),x96515))+P24(f333(f333(f335(x96514),f520(x96512,x96511,x96515,x96514,x96513)),x96515))+~P24(f333(f333(f335(x96514),x96512),x96515))
% 163.24/162.98 [9799]~P81(x97993)+E(f333(x97991,x97992),f2(x97993))+~E(f333(f333(f8(x97994,x97993),x97991),x97995),f2(x97993))+~P24(f333(f63(x97994),x97995))+~P24(f333(f333(f335(x97994),x97992),x97995))+~P24(f333(f333(f250(x97993),f2(x97993)),f333(x97991,f520(x97992,x97991,x97995,x97994,x97993))))
% 163.24/162.98 [8301]~P129(x83011)+~P24(f333(f333(f250(x83011),f2(x83011)),x83013))+~P24(f333(f333(f251(x83011),x83013),x83015))+~P24(f333(f333(f251(x83011),x83012),x83014))+~P24(f333(f333(f251(x83011),f2(x83011)),x83014))+P24(f333(f333(f251(x83011),f333(f333(f82(x83011),x83012),x83013)),f333(f333(f82(x83011),x83014),x83015)))
% 163.24/162.98 [8302]~P129(x83021)+~P24(f333(f333(f250(x83021),f2(x83021)),x83023))+~P24(f333(f333(f250(x83021),f2(x83021)),x83022))+~P24(f333(f333(f251(x83021),x83023),x83025))+~P24(f333(f333(f251(x83021),x83022),x83024))+P24(f333(f333(f251(x83021),f333(f333(f82(x83021),x83022),x83023)),f333(f333(f82(x83021),x83024),x83025)))
% 163.24/162.98 [8303]~P129(x83031)+~P24(f333(f333(f250(x83031),x83032),x83034))+~P24(f333(f333(f250(x83031),f2(x83031)),x83033))+~P24(f333(f333(f251(x83031),x83033),x83035))+~P24(f333(f333(f251(x83031),f2(x83031)),x83032))+P24(f333(f333(f251(x83031),f333(f333(f82(x83031),x83032),x83033)),f333(f333(f82(x83031),x83034),x83035)))
% 163.24/162.98 [8304]~P129(x83041)+~P24(f333(f333(f250(x83041),x83043),x83045))+~P24(f333(f333(f250(x83041),f2(x83041)),x83042))+~P24(f333(f333(f251(x83041),x83042),x83044))+~P24(f333(f333(f251(x83041),f2(x83041)),x83043))+P24(f333(f333(f251(x83041),f333(f333(f82(x83041),x83042),x83043)),f333(f333(f82(x83041),x83044),x83045)))
% 163.24/162.98 [8305]~P66(x83051)+~P24(f333(f333(f250(x83051),x83052),x83054))+~P24(f333(f333(f251(x83051),x83055),x83053))+~P24(f333(f333(f251(x83051),f2(x83051)),x83055))+~P24(f333(f333(f251(x83051),f2(x83051)),x83052))+P24(f333(f333(f251(x83051),f333(f333(f291(x83051),x83052),x83053)),f333(f333(f291(x83051),x83054),x83055)))
% 163.24/162.98 [8306]~P66(x83061)+~P24(f333(f333(f250(x83061),x83065),x83063))+~P24(f333(f333(f250(x83061),f2(x83061)),x83062))+~P24(f333(f333(f251(x83061),x83062),x83064))+~P24(f333(f333(f251(x83061),f2(x83061)),x83065))+P24(f333(f333(f251(x83061),f333(f333(f291(x83061),x83062),x83063)),f333(f333(f291(x83061),x83064),x83065)))
% 163.24/162.98 [8307]~P135(x83071)+~P24(f333(f333(f250(x83071),x83073),x83075))+~P24(f333(f333(f250(x83071),x83072),x83074))+~P24(f333(f333(f250(x83071),f2(x83071)),x83073))+~P24(f333(f333(f250(x83071),f2(x83071)),x83074))+P24(f333(f333(f250(x83071),f333(f333(f82(x83071),x83072),x83073)),f333(f333(f82(x83071),x83074),x83075)))
% 163.24/162.98 [8308]~P135(x83081)+~P24(f333(f333(f250(x83081),x83083),x83085))+~P24(f333(f333(f250(x83081),x83082),x83084))+~P24(f333(f333(f250(x83081),f2(x83081)),x83083))+~P24(f333(f333(f250(x83081),f2(x83081)),x83082))+P24(f333(f333(f250(x83081),f333(f333(f82(x83081),x83082),x83083)),f333(f333(f82(x83081),x83084),x83085)))
% 163.24/162.98 [8309]~P66(x83091)+~P24(f333(f333(f251(x83091),f2(x83091)),x83095))+~P24(f333(f333(f250(x83091),x83095),x83093))+~P24(f333(f333(f250(x83091),x83092),x83094))+~P24(f333(f333(f250(x83091),f2(x83091)),x83092))+P24(f333(f333(f250(x83091),f333(f333(f291(x83091),x83092),x83093)),f333(f333(f291(x83091),x83094),x83095)))
% 163.24/162.98 [9689]~P69(x96895)+~P88(x96895)+E(x96891,f194(f890(x96892,a874)))+~P24(f333(f63(x96892),x96891))+P24(f333(f333(f335(x96892),f850(x96893,x96894,x96891,x96892,x96895)),x96891))+P24(f333(f333(f251(x96895),f333(f333(f8(x96892,x96895),x96894),x96891)),f333(f333(f8(x96892,x96895),x96893),x96891)))
% 163.24/162.98 [9818]~P69(x98181)+~P86(x98181)+~P24(f333(f63(x98182),x98185))+~P24(f333(f333(f250(x98181),f2(x98181)),f333(x98183,f358(x98183,x98184,x98185,x98182,x98181))))+P24(f333(f333(f250(x98181),f333(f333(f8(x98182,x98181),x98183),x98184)),f333(f333(f8(x98182,x98181),x98183),x98185)))+~P24(f333(f333(f250(f890(x98182,a874)),x98184),x98185))
% 163.24/162.98 [9965]~P69(x99653)+~P88(x99653)+E(x99651,f194(f890(x99652,a874)))+~P24(f333(f63(x99652),x99651))+~P24(f333(f333(f251(x99653),f333(x99654,f850(x99655,x99654,x99651,x99652,x99653))),f333(x99655,f850(x99655,x99654,x99651,x99652,x99653))))+P24(f333(f333(f251(x99653),f333(f333(f8(x99652,x99653),x99654),x99651)),f333(f333(f8(x99652,x99653),x99655),x99651)))
% 163.24/162.98 [7047]~P13(x70472,x70475,x70474)+E(x70471,f194(f890(x70472,a874)))+E(x70473,f194(f890(x70472,a874)))+~P24(f333(f63(x70472),x70471))+~P24(f333(f63(x70472),x70473))+E(f333(x70474,f333(f333(f115(f890(x70472,a874)),x70473),x70471)),f333(f333(x70475,f333(x70474,x70473)),f333(x70474,x70471)))
% 163.24/162.98 [7614]~P147(x76141,x76144,x76143)+P24(f333(x76141,x76142))+~P24(f333(f333(f251(a1),x76144),f2(a1)))+~P24(f333(f333(f250(a1),x76145),f2(a1)))+~E(x76143,f333(f333(f81(a1),f333(f333(f82(a1),x76144),x76142)),x76145))+~P24(f333(f333(f251(a1),x76144),x76145))
% 163.24/162.98 [7615]~P146(x76151,x76154,x76153)+P24(f333(x76151,x76152))+~P24(f333(f333(f251(a1),x76154),f2(a1)))+~P24(f333(f333(f250(a1),x76152),f2(a1)))+~E(x76153,f333(f333(f81(a1),f333(f333(f82(a1),x76154),x76155)),x76152))+~P24(f333(f333(f251(a1),x76154),x76152))
% 163.24/162.98 [7657]~P147(x76571,x76574,x76573)+P24(f333(x76571,x76572))+~E(x76573,f333(f333(f81(a1),f333(f333(f82(a1),x76574),x76572)),x76575))+~P24(f333(f333(f251(a1),f2(a1)),x76574))+~P24(f333(f333(f250(a1),f2(a1)),x76575))+~P24(f333(f333(f251(a1),x76575),x76574))
% 163.24/162.98 [7658]~P146(x76581,x76584,x76583)+P24(f333(x76581,x76582))+~E(x76583,f333(f333(f81(a1),f333(f333(f82(a1),x76584),x76585)),x76582))+~P24(f333(f333(f251(a1),f2(a1)),x76584))+~P24(f333(f333(f250(a1),f2(a1)),x76582))+~P24(f333(f333(f251(a1),x76582),x76584))
% 163.24/162.98 [8595]P24(f333(f333(x85951,x85952),x85953))+~P24(f333(f333(x85951,f333(f333(f40(a1),x85954),x85955)),f46(a1,x85954,x85955)))+~P24(f333(f333(f251(a1),x85955),f2(a1)))+~P24(f333(f333(f250(a1),x85953),f2(a1)))+~E(x85954,f333(f333(f81(a1),f333(f333(f82(a1),x85955),x85952)),x85953))+~P24(f333(f333(f251(a1),x85955),x85953))
% 163.24/162.98 [8604]P24(f333(f333(x86041,x86042),x86043))+~P24(f333(f333(x86041,f333(f333(f40(a1),x86044),x86045)),f46(a1,x86044,x86045)))+~E(x86044,f333(f333(f81(a1),f333(f333(f82(a1),x86045),x86042)),x86043))+~P24(f333(f333(f251(a1),f2(a1)),x86045))+~P24(f333(f333(f250(a1),f2(a1)),x86043))+~P24(f333(f333(f251(a1),x86043),x86045))
% 163.24/162.98 [8835]E(x88351,x88352)+~P55(x88353,x88355,x88354)+~P24(f333(f333(f335(x88353),x88352),x88355))+~P24(f333(f333(f335(x88353),x88351),x88355))+P24(f333(f333(f335(f889(x88353,x88353)),f333(f333(f263(x88353,x88353),x88351),x88352)),x88354))+P24(f333(f333(f335(f889(x88353,x88353)),f333(f333(f263(x88353,x88353),x88352),x88351)),x88354))
% 163.24/162.98 [9716]~P69(x97165)+~P86(x97165)+~P24(f333(f63(x97161),x97164))+P24(f333(f333(f250(x97165),f333(f333(f8(x97161,x97165),x97162),x97163)),f333(f333(f8(x97161,x97165),x97162),x97164)))+~P24(f333(f333(f250(f890(x97161,a874)),x97163),x97164))+P24(f333(f333(f335(x97161),f358(x97162,x97163,x97164,x97161,x97165)),f333(f333(f3(f890(x97161,a874)),x97164),x97163)))
% 163.24/162.98 [9825]E(x98251,f194(f890(x98252,a874)))+~P24(f333(f63(x98252),x98253))+~P24(f333(f63(x98252),x98251))+P24(f333(f333(f335(f889(f890(x98252,a874),f890(x98252,a874))),f333(f333(f263(f890(x98252,a874),f890(x98252,a874)),x98253),x98251)),f325(x98252,x98254)))+~P24(f333(f333(f335(x98252),x98255),x98251))+~P24(f333(f333(f335(f889(x98252,x98252)),f333(f333(f263(x98252,x98252),f709(x98254,x98251,x98253,x98252)),x98255)),x98254))
% 163.24/162.98 [9826]E(x98261,f194(f890(x98262,a874)))+~P24(f333(f63(x98262),x98263))+~P24(f333(f63(x98262),x98261))+P24(f333(f333(f335(f889(f890(x98262,a874),f890(x98262,a874))),f333(f333(f263(f890(x98262,a874),f890(x98262,a874)),x98263),x98261)),f325(x98262,x98264)))+~P24(f333(f333(f335(x98262),x98265),x98261))+~P24(f333(f333(f335(f889(x98262,x98262)),f333(f333(f263(x98262,x98262),f758(x98264,x98261,x98263,x98262)),x98265)),x98264))
% 163.24/162.98 [9970]~P81(x99701)+~E(f333(f333(f8(x99705,x99701),x99702),x99706),x99704)+~P24(f333(f63(x99705),x99706))+P24(f333(f333(f335(x99705),f521(x99703,x99704,x99702,x99706,x99705,x99701)),x99706))+P24(f333(f333(f250(x99701),f333(x99702,x99703)),x99704))+~P24(f333(f333(f335(x99705),x99703),x99706))
% 163.24/162.98 [10016]~P81(x100161)+~E(f333(f333(f8(x100165,x100161),x100162),x100166),x100164)+~P24(f333(f63(x100165),x100166))+~P24(f333(f333(f335(x100165),x100163),x100166))+~P24(f333(f333(f250(x100161),f2(x100161)),f333(x100162,f521(x100163,x100164,x100162,x100166,x100165,x100161))))+P24(f333(f333(f250(x100161),f333(x100162,x100163)),x100164))
% 163.24/162.98 [10156]~E(x101565,x101568)+~E(x101564,x101567)+~P69(x101562)+~P111(x101561)+E(f333(f333(f8(x101561,x101562),x101563),f333(f303(x101561,x101564),x101565)),f333(f333(f8(x101561,x101562),x101566),f333(f303(x101561,x101567),x101568)))+P24(f333(f333(f250(x101561),x101564),f462(x101563,x101566,x101565,x101568,x101564,x101567,x101561,x101562)))
% 163.24/162.98 [10179]~E(x101797,x101794)+~E(x101798,x101795)+~P69(x101792)+~P111(x101791)+~E(f333(x101793,f462(x101796,x101793,x101798,x101795,x101797,x101794,x101791,x101792)),f333(x101796,f462(x101796,x101793,x101798,x101795,x101797,x101794,x101791,x101792)))+E(f333(f333(f8(x101791,x101792),x101793),f333(f303(x101791,x101794),x101795)),f333(f333(f8(x101791,x101792),x101796),f333(f303(x101791,x101797),x101798)))
% 163.24/162.98 [10185]~E(x101854,x101857)+~E(x101855,x101858)+~P69(x101852)+~P111(x101851)+E(f333(f333(f8(x101851,x101852),x101853),f333(f303(x101851,x101854),x101855)),f333(f333(f8(x101851,x101852),x101856),f333(f303(x101851,x101857),x101858)))+P24(f333(f333(f251(x101851),f462(x101853,x101856,x101855,x101858,x101854,x101857,x101851,x101852)),x101855))
% 163.24/162.98 [9831]~P6(x98315,x98319,x98316)+~P6(x98311,x983110,x98313)+~P10(x98311,x98315,f890(x98312,a874),x98313,x98316,x98318)+~P24(f333(f333(f335(x98315),x98317),x98319))+~P24(f333(f333(f335(x98311),x98314),x983110))+E(f333(f333(f44(x98311,f890(x98312,a874)),f333(f287(x98311,x98311,x98313),f333(f333(f311(x98311),x98314),f194(f890(x98311,a874))))),f333(f333(f10(f890(x98315,f890(x98312,a874)),f890(x98312,a874),x98311),f333(f44(x98315,f890(x98312,a874)),f333(f287(x98315,x98315,x98316),f333(f333(f311(x98315),x98317),f194(f890(x98315,a874)))))),x98318)),f333(f333(x98318,x98314),x98317))
% 163.24/162.98 [5607]~P109(x56073)+~P31(x56073,x56072)+~P31(x56073,x56071)+E(x56071,x56072)+~E(f333(f173(x56073),x56071),f333(f173(x56073),x56072))+~P24(f333(f138(x56073),x56072))+~P24(f333(f138(x56073),x56071))
% 163.24/162.98 [4949]~P127(x49492)+~P128(x49492)+~P142(x49492)+~P113(x49492)+~E(x49493,f2(x49492))+E(x49491,f2(a880))+E(f333(f333(f264(x49492),x49493),x49491),f2(x49492))
% 163.24/162.98 [9086]E(x90861,f2(a880))+~E(x90862,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x90863)),x90861)),f333(f271(a880,a880),x90863)))+P24(f333(f49(x90862,x90861),x90863))+~P24(f333(f333(f250(a880),f333(f271(a880,a880),x90863)),f2(a880)))+~P24(f333(f333(f250(a880),f2(a880)),f333(f271(a880,a880),x90863)))+~P24(f333(f333(f251(a880),x90861),f333(f271(a880,a880),x90863)))+~P24(f333(f333(f251(a880),f333(f271(a880,a880),x90863)),x90861))
% 163.24/162.98 [9101]~E(f333(f262(a880,a880),x91013),f2(a880))+~E(x91011,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),x91013)),x91012)),f333(f271(a880,a880),x91013)))+P24(f333(f49(x91011,x91012),x91013))+~P24(f333(f333(f250(a880),f333(f271(a880,a880),x91013)),f2(a880)))+~P24(f333(f333(f250(a880),f2(a880)),f333(f271(a880,a880),x91013)))+~P24(f333(f333(f251(a880),x91012),f333(f271(a880,a880),x91013)))+~P24(f333(f333(f251(a880),f333(f271(a880,a880),x91013)),x91012))
% 163.24/162.98 [7962]~P73(x79622)+E(x79621,f194(f890(x79622,a874)))+E(x79623,f194(f890(x79622,a874)))+~P24(f333(f63(x79622),x79621))+~P24(f333(f63(x79622),x79623))+~E(f333(f333(f106(f890(x79622,a874)),x79623),x79621),f194(f890(x79622,a874)))+E(f333(f333(f82(x79622),f333(f65(x79622,f82(x79622)),x79623)),f333(f65(x79622,f82(x79622)),x79621)),f333(f65(x79622,f82(x79622)),f333(f333(f115(f890(x79622,a874)),x79623),x79621)))
% 163.24/162.98 [7753]E(x77531,f2(a1))+E(f333(f333(f40(a1),x77532),x77531),x77533)+~P24(f333(f333(f250(a1),x77534),f2(a1)))+~E(x77532,f333(f333(f81(a1),f333(f333(f82(a1),x77531),x77533)),x77534))+~P24(f333(f333(f250(a1),f2(a1)),x77534))+~P24(f333(f333(f251(a1),x77534),x77531))+~P24(f333(f333(f251(a1),x77531),x77534))
% 163.24/162.98 [7760]E(f46(a1,x77602,x77601),x77603)+E(x77601,f2(a1))+~P24(f333(f333(f250(a1),x77603),f2(a1)))+~E(x77602,f333(f333(f81(a1),f333(f333(f82(a1),x77601),x77604)),x77603))+~P24(f333(f333(f250(a1),f2(a1)),x77603))+~P24(f333(f333(f251(a1),x77603),x77601))+~P24(f333(f333(f251(a1),x77601),x77603))
% 163.24/162.98 [7665]~P14(x76652,x76655,x76654)+E(x76651,f194(f890(x76652,a874)))+E(x76653,f194(f890(x76652,a874)))+~P24(f333(f63(x76652),x76651))+~P24(f333(f63(x76652),x76653))+~E(f333(f333(f106(f890(x76652,a874)),x76653),x76651),f194(f890(x76652,a874)))+E(f333(x76654,f333(f333(f115(f890(x76652,a874)),x76653),x76651)),f333(f333(x76655,f333(x76654,x76653)),f333(x76654,x76651)))
% 163.24/162.98 [9343]~P21(x93433,x93431,x93435,x93434)+~P21(x93431,x93433,x93436,x93432)+E(f333(f39(x93431),x93432),f333(f39(x93433),x93434))+~P24(f333(f63(x93433),x93434))+~P24(f333(f63(x93431),x93432))+~P24(f333(f333(f250(f890(x93433,a874)),f333(f312(x93431,x93433,x93436),x93432)),x93434))+~P24(f333(f333(f250(f890(x93431,a874)),f333(f312(x93433,x93431,x93435),x93434)),x93432))
% 163.24/162.98 [9292]~P24(f333(f333(f251(a1),f333(f333(f81(a1),f333(f333(f82(a1),x92925),x92921)),x92926)),f2(a1)))+~E(f333(f333(f81(a1),f333(f333(f82(a1),x92923),x92922)),x92924),f333(f333(f81(a1),f333(f333(f82(a1),x92925),x92921)),x92926))+~P24(f333(f333(f251(a1),f2(a1)),x92925))+~P24(f333(f333(f250(a1),f2(a1)),x92926))+~P24(f333(f333(f251(a1),x92924),x92923))+~P24(f333(f333(f250(a1),x92925),x92923))+P24(f333(f333(f250(a1),x92921),x92922))
% 163.24/162.98 [9046]~E(f333(f333(f81(a1),f333(f333(f82(a1),x90463),x90461)),x90464),f333(f333(f81(a1),f333(f333(f82(a1),x90465),x90462)),x90466))+~P24(f333(f333(f251(a1),f2(a1)),x90465))+~P24(f333(f333(f250(a1),f2(a1)),x90464))+~P24(f333(f333(f251(a1),x90466),x90465))+~P24(f333(f333(f250(a1),x90465),x90463))+P24(f333(f333(f250(a1),x90461),x90462))+~P24(f333(f333(f250(a1),f2(a1)),f333(f333(f81(a1),f333(f333(f82(a1),x90465),x90462)),x90466)))
% 163.24/162.98 [9225]~P132(x92251)+~E(f333(f333(f81(x92251),x92252),x92254),f79(x92251))+~P24(f333(f333(f250(x92251),f2(x92251)),x92254))+~P24(f333(f333(f250(x92251),f2(x92251)),x92252))+~P24(f333(f333(f251(x92251),x92255),x92256))+~P24(f333(f333(f251(x92251),x92253),x92256))+P24(f333(f333(f251(x92251),f333(f333(f81(x92251),f333(f333(f82(x92251),x92252),x92253)),f333(f333(f82(x92251),x92254),x92255))),x92256))
% 163.24/162.98 [9226]~P131(x92261)+~E(f333(f333(f81(x92261),x92262),x92264),f79(x92261))+~P24(f333(f333(f250(x92261),x92265),x92266))+~P24(f333(f333(f250(x92261),x92263),x92266))+~P24(f333(f333(f250(x92261),f2(x92261)),x92264))+~P24(f333(f333(f250(x92261),f2(x92261)),x92262))+P24(f333(f333(f250(x92261),f333(f333(f81(x92261),f333(f333(f82(x92261),x92262),x92263)),f333(f333(f82(x92261),x92264),x92265))),x92266))
% 163.24/162.98 [10058]~P6(x100587,x100586,x100585)+E(x100581,x100582)+~P9(x100587,f890(x100584,a874),x100585,x100583)+E(f333(x100583,f561(x100581,x100582,x100583,x100584,x100585,x100586,x100587)),f333(x100583,f562(x100581,x100582,x100583,x100584,x100585,x100586,x100587)))+~E(f333(f333(f44(x100587,f890(x100584,a874)),x100581),x100583),f333(f333(f44(x100587,f890(x100584,a874)),x100582),x100583))+~P24(f333(f333(f335(f890(x100587,a874)),x100582),f333(f333(f62(x100587),x100586),x100585)))+~P24(f333(f333(f335(f890(x100587,a874)),x100581),f333(f333(f62(x100587),x100586),x100585)))
% 163.24/162.98 [10100]~P6(x101003,x101007,x101006)+E(x101001,x101002)+~P9(x101003,f890(x101005,a874),x101006,x101004)+~E(f333(f333(f44(x101003,f890(x101005,a874)),x101001),x101004),f333(f333(f44(x101003,f890(x101005,a874)),x101002),x101004))+P24(f333(f333(f335(x101003),f562(x101001,x101002,x101004,x101005,x101006,x101007,x101003)),x101007))+~P24(f333(f333(f335(f890(x101003,a874)),x101002),f333(f333(f62(x101003),x101007),x101006)))+~P24(f333(f333(f335(f890(x101003,a874)),x101001),f333(f333(f62(x101003),x101007),x101006)))
% 163.24/162.98 [10101]~P6(x101013,x101017,x101016)+E(x101011,x101012)+~P9(x101013,f890(x101015,a874),x101016,x101014)+~E(f333(f333(f44(x101013,f890(x101015,a874)),x101011),x101014),f333(f333(f44(x101013,f890(x101015,a874)),x101012),x101014))+P24(f333(f333(f335(x101013),f561(x101011,x101012,x101014,x101015,x101016,x101017,x101013)),x101017))+~P24(f333(f333(f335(f890(x101013,a874)),x101012),f333(f333(f62(x101013),x101017),x101016)))+~P24(f333(f333(f335(f890(x101013,a874)),x101011),f333(f333(f62(x101013),x101017),x101016)))
% 163.24/162.98 [10205]E(x102051,x102052)+~P6(x102053,x102056,x102057)+~P9(x102053,f890(x102054,a874),x102057,x102055)+~E(f333(f333(f44(x102053,f890(x102054,a874)),x102051),x102055),f333(f333(f44(x102053,f890(x102054,a874)),x102052),x102055))+~P24(f333(f333(f335(f889(x102053,x102053)),f333(f333(f263(x102053,x102053),f562(x102051,x102052,x102055,x102054,x102057,x102056,x102053)),f561(x102051,x102052,x102055,x102054,x102057,x102056,x102053))),x102057))+~P24(f333(f333(f335(f890(x102053,a874)),x102052),f333(f333(f62(x102053),x102056),x102057)))+~P24(f333(f333(f335(f890(x102053,a874)),x102051),f333(f333(f62(x102053),x102056),x102057)))
% 163.24/162.98 [9045]~P6(x90451,x90457,x90454)+~E(x90455,x90456)+~P24(f333(f333(f335(x90451),x90453),x90456))+~P24(f333(f333(f335(x90451),x90452),x90455))+~P24(f333(f333(f335(f890(x90451,a874)),x90456),f333(f333(f62(x90451),x90457),x90454)))+~P24(f333(f333(f335(f890(x90451,a874)),x90455),f333(f333(f62(x90451),x90457),x90454)))+P24(f333(f333(f335(f889(x90451,x90451)),f333(f333(f263(x90451,x90451),x90452),x90453)),x90454))
% 163.24/162.98 [9184]E(x91841,x91842)+~P6(x91843,x91844,x91845)+~P24(f333(f333(f335(x91843),x91846),x91842))+~P24(f333(f333(f335(x91843),x91847),x91841))+~P24(f333(f333(f335(f890(x91843,a874)),x91842),f333(f333(f62(x91843),x91844),x91845)))+~P24(f333(f333(f335(f890(x91843,a874)),x91841),f333(f333(f62(x91843),x91844),x91845)))+~P24(f333(f333(f335(f889(x91843,x91843)),f333(f333(f263(x91843,x91843),x91847),x91846)),x91845))
% 163.24/162.98 [10231]~P6(x102319,x102318,x102317)+~P6(x102311,x1023111,x1023110)+~P10(x102311,x102319,f890(x102316,a874),x1023110,x102317,x102315)+P24(f333(f333(f335(x102311),f565(x102312,x102313,x102314,x102315,x102316,x102317,x102318,x102319,x1023110,x1023111,x102311)),x1023111))+~P24(f333(f333(f335(f890(x102319,a874)),x102313),f333(f333(f62(x102319),x102318),x102317)))+~P24(f333(f333(f335(f890(x102311,a874)),x102314),f333(f333(f62(x102311),x1023111),x1023110)))+P24(f333(f333(f335(f890(x102316,a874)),f333(f333(f44(x102311,f890(x102316,a874)),x102314),f333(f333(f10(f890(x102319,f890(x102316,a874)),f890(x102316,a874),x102311),f333(f44(x102319,f890(x102316,a874)),x102313)),x102315))),x102312))
% 163.24/162.98 [10232]~P6(x1023211,x1023210,x102329)+~P6(x102321,x102328,x102327)+~P10(x1023211,x102321,f890(x102326,a874),x102329,x102327,x102325)+P24(f333(f333(f335(x102321),f566(x102322,x102323,x102324,x102325,x102326,x102327,x102328,x102321,x102329,x1023210,x1023211)),x102328))+~P24(f333(f333(f335(f890(x1023211,a874)),x102324),f333(f333(f62(x1023211),x1023210),x102329)))+~P24(f333(f333(f335(f890(x102321,a874)),x102323),f333(f333(f62(x102321),x102328),x102327)))+P24(f333(f333(f335(f890(x102326,a874)),f333(f333(f44(x1023211,f890(x102326,a874)),x102324),f333(f333(f10(f890(x102321,f890(x102326,a874)),f890(x102326,a874),x1023211),f333(f44(x102321,f890(x102326,a874)),x102323)),x102325))),x102322))
% 163.24/162.98 [10235]~P6(x102352,x102358,x102359)+~P6(x102354,x1023510,x1023511)+~P10(x102352,x102354,f890(x102351,a874),x102359,x1023511,x102356)+~P24(f333(f333(f335(f890(x102352,a874)),x102353),f333(f333(f62(x102352),x102358),x102359)))+~P24(f333(f333(f335(f890(x102354,a874)),x102355),f333(f333(f62(x102354),x1023510),x1023511)))+~P24(f333(f333(f335(f890(x102351,a874)),f333(f333(x102356,f565(x102357,x102355,x102353,x102356,x102351,x1023511,x1023510,x102354,x102359,x102358,x102352)),f566(x102357,x102355,x102353,x102356,x102351,x1023511,x1023510,x102354,x102359,x102358,x102352))),x102357))+P24(f333(f333(f335(f890(x102351,a874)),f333(f333(f44(x102352,f890(x102351,a874)),x102353),f333(f333(f10(f890(x102354,f890(x102351,a874)),f890(x102351,a874),x102352),f333(f44(x102354,f890(x102351,a874)),x102355)),x102356))),x102357))
% 163.24/162.98 [9073]E(x90731,x90732)+~P109(x90734)+~P21(x90733,x90734,x90735,f333(f333(f115(f890(x90733,a874)),f333(f173(x90733),x90731)),f333(f173(x90733),x90732)))+~E(f333(f173(x90733),x90731),f333(f173(x90733),x90732))+~P31(x90734,f333(f333(f155(x90733,x90734),x90735),x90732))+~P31(x90734,f333(f333(f155(x90733,x90734),x90735),x90731))+~P24(f333(f138(x90734),f333(f333(f155(x90733,x90734),x90735),x90732)))+~P24(f333(f138(x90734),f333(f333(f155(x90733,x90734),x90735),x90731)))
% 163.24/162.98 %EqnAxiom
% 163.24/162.98 [1]E(x11,x11)
% 163.24/162.98 [2]E(x22,x21)+~E(x21,x22)
% 163.24/162.98 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 163.24/162.98 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 163.24/162.98 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 163.24/162.98 [6]~E(x61,x62)+E(f105(x61),f105(x62))
% 163.24/162.98 [7]~E(x71,x72)+E(f194(x71),f194(x72))
% 163.24/162.98 [8]~E(x81,x82)+E(f333(x81,x83),f333(x82,x83))
% 163.24/162.98 [9]~E(x91,x92)+E(f333(x93,x91),f333(x93,x92))
% 163.24/162.98 [10]~E(x101,x102)+E(f32(x101),f32(x102))
% 163.24/162.98 [11]~E(x111,x112)+E(f46(x111,x113,x114),f46(x112,x113,x114))
% 163.24/162.98 [12]~E(x121,x122)+E(f46(x123,x121,x124),f46(x123,x122,x124))
% 163.24/162.98 [13]~E(x131,x132)+E(f46(x133,x134,x131),f46(x133,x134,x132))
% 163.24/162.98 [14]~E(x141,x142)+E(f85(x141),f85(x142))
% 163.24/162.98 [15]~E(x151,x152)+E(f79(x151),f79(x152))
% 163.24/162.98 [16]~E(x161,x162)+E(f890(x161,x163),f890(x162,x163))
% 163.24/162.98 [17]~E(x171,x172)+E(f890(x173,x171),f890(x173,x172))
% 163.24/162.98 [18]~E(x181,x182)+E(f566(x181,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812),f566(x182,x183,x184,x185,x186,x187,x188,x189,x1810,x1811,x1812))
% 163.24/162.98 [19]~E(x191,x192)+E(f566(x193,x191,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912),f566(x193,x192,x194,x195,x196,x197,x198,x199,x1910,x1911,x1912))
% 163.24/162.98 [20]~E(x201,x202)+E(f566(x203,x204,x201,x205,x206,x207,x208,x209,x2010,x2011,x2012),f566(x203,x204,x202,x205,x206,x207,x208,x209,x2010,x2011,x2012))
% 163.24/162.98 [21]~E(x211,x212)+E(f566(x213,x214,x215,x211,x216,x217,x218,x219,x2110,x2111,x2112),f566(x213,x214,x215,x212,x216,x217,x218,x219,x2110,x2111,x2112))
% 163.24/162.98 [22]~E(x221,x222)+E(f566(x223,x224,x225,x226,x221,x227,x228,x229,x2210,x2211,x2212),f566(x223,x224,x225,x226,x222,x227,x228,x229,x2210,x2211,x2212))
% 163.24/162.98 [23]~E(x231,x232)+E(f566(x233,x234,x235,x236,x237,x231,x238,x239,x2310,x2311,x2312),f566(x233,x234,x235,x236,x237,x232,x238,x239,x2310,x2311,x2312))
% 163.24/162.98 [24]~E(x241,x242)+E(f566(x243,x244,x245,x246,x247,x248,x241,x249,x2410,x2411,x2412),f566(x243,x244,x245,x246,x247,x248,x242,x249,x2410,x2411,x2412))
% 163.24/162.98 [25]~E(x251,x252)+E(f566(x253,x254,x255,x256,x257,x258,x259,x251,x2510,x2511,x2512),f566(x253,x254,x255,x256,x257,x258,x259,x252,x2510,x2511,x2512))
% 163.24/162.98 [26]~E(x261,x262)+E(f566(x263,x264,x265,x266,x267,x268,x269,x2610,x261,x2611,x2612),f566(x263,x264,x265,x266,x267,x268,x269,x2610,x262,x2611,x2612))
% 163.24/162.98 [27]~E(x271,x272)+E(f566(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x271,x2712),f566(x273,x274,x275,x276,x277,x278,x279,x2710,x2711,x272,x2712))
% 163.24/162.98 [28]~E(x281,x282)+E(f566(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x281),f566(x283,x284,x285,x286,x287,x288,x289,x2810,x2811,x2812,x282))
% 163.24/162.98 [29]~E(x291,x292)+E(f106(x291),f106(x292))
% 163.24/162.98 [30]~E(x301,x302)+E(f248(x301),f248(x302))
% 163.24/162.98 [31]~E(x311,x312)+E(f115(x311),f115(x312))
% 163.24/162.98 [32]~E(x321,x322)+E(f249(x321),f249(x322))
% 163.24/162.98 [33]~E(x331,x332)+E(f107(x331),f107(x332))
% 163.24/162.98 [34]~E(x341,x342)+E(f35(x341),f35(x342))
% 163.24/162.98 [35]~E(x351,x352)+E(f335(x351),f335(x352))
% 163.24/162.98 [36]~E(x361,x362)+E(f81(x361),f81(x362))
% 163.24/162.98 [37]~E(x371,x372)+E(f565(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f565(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 163.24/162.98 [38]~E(x381,x382)+E(f565(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f565(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 163.24/162.98 [39]~E(x391,x392)+E(f565(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f565(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 163.24/162.98 [40]~E(x401,x402)+E(f565(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f565(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 163.24/162.98 [41]~E(x411,x412)+E(f565(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f565(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 163.24/162.98 [42]~E(x421,x422)+E(f565(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f565(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 163.24/162.98 [43]~E(x431,x432)+E(f565(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f565(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 163.24/162.98 [44]~E(x441,x442)+E(f565(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f565(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 163.24/162.98 [45]~E(x451,x452)+E(f565(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f565(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 163.24/162.98 [46]~E(x461,x462)+E(f565(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f565(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 163.24/162.98 [47]~E(x471,x472)+E(f565(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f565(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 163.24/162.98 [48]~E(x481,x482)+E(f116(x481),f116(x482))
% 163.24/162.98 [49]~E(x491,x492)+E(f251(x491),f251(x492))
% 163.24/162.98 [50]~E(x501,x502)+E(f608(x501,x503,x504),f608(x502,x503,x504))
% 163.24/162.98 [51]~E(x511,x512)+E(f608(x513,x511,x514),f608(x513,x512,x514))
% 163.24/162.98 [52]~E(x521,x522)+E(f608(x523,x524,x521),f608(x523,x524,x522))
% 163.24/162.98 [53]~E(x531,x532)+E(f6(x531),f6(x532))
% 163.24/162.98 [54]~E(x541,x542)+E(f63(x541),f63(x542))
% 163.24/162.98 [55]~E(x551,x552)+E(f879(x551),f879(x552))
% 163.24/162.98 [56]~E(x561,x562)+E(f884(x561),f884(x562))
% 163.24/162.98 [57]~E(x571,x572)+E(f881(x571),f881(x572))
% 163.24/162.98 [58]~E(x581,x582)+E(f882(x581),f882(x582))
% 163.24/162.98 [59]~E(x591,x592)+E(f306(x591,x593,x594),f306(x592,x593,x594))
% 163.24/162.98 [60]~E(x601,x602)+E(f306(x603,x601,x604),f306(x603,x602,x604))
% 163.24/162.98 [61]~E(x611,x612)+E(f306(x613,x614,x611),f306(x613,x614,x612))
% 163.24/162.98 [62]~E(x621,x622)+E(f889(x621,x623),f889(x622,x623))
% 163.24/162.98 [63]~E(x631,x632)+E(f889(x633,x631),f889(x633,x632))
% 163.24/162.98 [64]~E(x641,x642)+E(f127(x641),f127(x642))
% 163.24/162.98 [65]~E(x651,x652)+E(f152(x651),f152(x652))
% 163.24/162.98 [66]~E(x661,x662)+E(f80(x661),f80(x662))
% 163.24/162.98 [67]~E(x671,x672)+E(f108(x671),f108(x672))
% 163.24/162.98 [68]~E(x681,x682)+E(f195(x681),f195(x682))
% 163.24/162.98 [69]~E(x691,x692)+E(f773(x691,x693,x694),f773(x692,x693,x694))
% 163.24/162.98 [70]~E(x701,x702)+E(f773(x703,x701,x704),f773(x703,x702,x704))
% 163.24/162.98 [71]~E(x711,x712)+E(f773(x713,x714,x711),f773(x713,x714,x712))
% 163.24/162.98 [72]~E(x721,x722)+E(f118(x721),f118(x722))
% 163.24/162.98 [73]~E(x731,x732)+E(f311(x731),f311(x732))
% 163.24/162.98 [74]~E(x741,x742)+E(f82(x741),f82(x742))
% 163.24/162.98 [75]~E(x751,x752)+E(f425(x751,x753),f425(x752,x753))
% 163.24/162.98 [76]~E(x761,x762)+E(f425(x763,x761),f425(x763,x762))
% 163.24/162.98 [77]~E(x771,x772)+E(f250(x771),f250(x772))
% 163.24/162.98 [78]~E(x781,x782)+E(f303(x781,x783),f303(x782,x783))
% 163.24/162.98 [79]~E(x791,x792)+E(f303(x793,x791),f303(x793,x792))
% 163.24/162.98 [80]~E(x801,x802)+E(f140(x801,x803),f140(x802,x803))
% 163.24/162.98 [81]~E(x811,x812)+E(f140(x813,x811),f140(x813,x812))
% 163.24/162.98 [82]~E(x821,x822)+E(f15(x821,x823,x824),f15(x822,x823,x824))
% 163.24/162.98 [83]~E(x831,x832)+E(f15(x833,x831,x834),f15(x833,x832,x834))
% 163.24/162.98 [84]~E(x841,x842)+E(f15(x843,x844,x841),f15(x843,x844,x842))
% 163.24/162.98 [85]~E(x851,x852)+E(f8(x851,x853),f8(x852,x853))
% 163.24/162.98 [86]~E(x861,x862)+E(f8(x863,x861),f8(x863,x862))
% 163.24/162.98 [87]~E(x871,x872)+E(f263(x871,x873),f263(x872,x873))
% 163.24/162.98 [88]~E(x881,x882)+E(f263(x883,x881),f263(x883,x882))
% 163.24/162.98 [89]~E(x891,x892)+E(f291(x891),f291(x892))
% 163.24/162.98 [90]~E(x901,x902)+E(f167(x901),f167(x902))
% 163.24/162.98 [91]~E(x911,x912)+E(f261(x911,x913),f261(x912,x913))
% 163.24/162.98 [92]~E(x921,x922)+E(f261(x923,x921),f261(x923,x922))
% 163.24/162.98 [93]~E(x931,x932)+E(f62(x931),f62(x932))
% 163.24/162.98 [94]~E(x941,x942)+E(f304(x941,x943,x944),f304(x942,x943,x944))
% 163.24/162.98 [95]~E(x951,x952)+E(f304(x953,x951,x954),f304(x953,x952,x954))
% 163.24/162.98 [96]~E(x961,x962)+E(f304(x963,x964,x961),f304(x963,x964,x962))
% 163.24/162.98 [97]~E(x971,x972)+E(f149(x971,x973,x974),f149(x972,x973,x974))
% 163.24/162.98 [98]~E(x981,x982)+E(f149(x983,x981,x984),f149(x983,x982,x984))
% 163.24/162.98 [99]~E(x991,x992)+E(f149(x993,x994,x991),f149(x993,x994,x992))
% 163.24/162.98 [100]~E(x1001,x1002)+E(f592(x1001,x1003,x1004,x1005,x1006),f592(x1002,x1003,x1004,x1005,x1006))
% 163.24/162.98 [101]~E(x1011,x1012)+E(f592(x1013,x1011,x1014,x1015,x1016),f592(x1013,x1012,x1014,x1015,x1016))
% 163.24/162.98 [102]~E(x1021,x1022)+E(f592(x1023,x1024,x1021,x1025,x1026),f592(x1023,x1024,x1022,x1025,x1026))
% 163.24/162.98 [103]~E(x1031,x1032)+E(f592(x1033,x1034,x1035,x1031,x1036),f592(x1033,x1034,x1035,x1032,x1036))
% 163.24/162.98 [104]~E(x1041,x1042)+E(f592(x1043,x1044,x1045,x1046,x1041),f592(x1043,x1044,x1045,x1046,x1042))
% 163.24/162.98 [105]~E(x1051,x1052)+E(f173(x1051),f173(x1052))
% 163.24/162.98 [106]~E(x1061,x1062)+E(f10(x1061,x1063,x1064),f10(x1062,x1063,x1064))
% 163.24/162.98 [107]~E(x1071,x1072)+E(f10(x1073,x1071,x1074),f10(x1073,x1072,x1074))
% 163.24/162.98 [108]~E(x1081,x1082)+E(f10(x1083,x1084,x1081),f10(x1083,x1084,x1082))
% 163.24/162.98 [109]~E(x1091,x1092)+E(f242(x1091),f242(x1092))
% 163.24/162.98 [110]~E(x1101,x1102)+E(f258(x1101),f258(x1102))
% 163.24/162.98 [111]~E(x1111,x1112)+E(f20(x1111,x1113,x1114),f20(x1112,x1113,x1114))
% 163.24/162.98 [112]~E(x1121,x1122)+E(f20(x1123,x1121,x1124),f20(x1123,x1122,x1124))
% 163.24/162.98 [113]~E(x1131,x1132)+E(f20(x1133,x1134,x1131),f20(x1133,x1134,x1132))
% 163.24/162.98 [114]~E(x1141,x1142)+E(f9(x1141,x1143,x1144),f9(x1142,x1143,x1144))
% 163.24/162.98 [115]~E(x1151,x1152)+E(f9(x1153,x1151,x1154),f9(x1153,x1152,x1154))
% 163.24/162.98 [116]~E(x1161,x1162)+E(f9(x1163,x1164,x1161),f9(x1163,x1164,x1162))
% 163.24/162.98 [117]~E(x1171,x1172)+E(f148(x1171,x1173),f148(x1172,x1173))
% 163.24/162.98 [118]~E(x1181,x1182)+E(f148(x1183,x1181),f148(x1183,x1182))
% 163.24/162.98 [119]~E(x1191,x1192)+E(f74(x1191,x1193,x1194,x1195),f74(x1192,x1193,x1194,x1195))
% 163.24/162.98 [120]~E(x1201,x1202)+E(f74(x1203,x1201,x1204,x1205),f74(x1203,x1202,x1204,x1205))
% 163.24/162.98 [121]~E(x1211,x1212)+E(f74(x1213,x1214,x1211,x1215),f74(x1213,x1214,x1212,x1215))
% 163.24/162.98 [122]~E(x1221,x1222)+E(f74(x1223,x1224,x1225,x1221),f74(x1223,x1224,x1225,x1222))
% 163.24/162.98 [123]~E(x1231,x1232)+E(f859(x1231,x1233,x1234),f859(x1232,x1233,x1234))
% 163.24/162.98 [124]~E(x1241,x1242)+E(f859(x1243,x1241,x1244),f859(x1243,x1242,x1244))
% 163.24/162.98 [125]~E(x1251,x1252)+E(f859(x1253,x1254,x1251),f859(x1253,x1254,x1252))
% 163.24/162.98 [126]~E(x1261,x1262)+E(f239(x1261,x1263,x1264),f239(x1262,x1263,x1264))
% 163.24/162.98 [127]~E(x1271,x1272)+E(f239(x1273,x1271,x1274),f239(x1273,x1272,x1274))
% 163.24/162.98 [128]~E(x1281,x1282)+E(f239(x1283,x1284,x1281),f239(x1283,x1284,x1282))
% 163.24/162.98 [129]~E(x1291,x1292)+E(f153(x1291,x1293),f153(x1292,x1293))
% 163.24/162.98 [130]~E(x1301,x1302)+E(f153(x1303,x1301),f153(x1303,x1302))
% 163.24/162.98 [131]~E(x1311,x1312)+E(f255(x1311),f255(x1312))
% 163.24/162.98 [132]~E(x1321,x1322)+E(f86(x1321,x1323),f86(x1322,x1323))
% 163.24/162.98 [133]~E(x1331,x1332)+E(f86(x1333,x1331),f86(x1333,x1332))
% 163.24/162.98 [134]~E(x1341,x1342)+E(f17(x1341,x1343),f17(x1342,x1343))
% 163.24/162.98 [135]~E(x1351,x1352)+E(f17(x1353,x1351),f17(x1353,x1352))
% 163.24/162.98 [136]~E(x1361,x1362)+E(f137(x1361,x1363),f137(x1362,x1363))
% 163.24/162.98 [137]~E(x1371,x1372)+E(f137(x1373,x1371),f137(x1373,x1372))
% 163.24/162.98 [138]~E(x1381,x1382)+E(f458(x1381,x1383,x1384),f458(x1382,x1383,x1384))
% 163.24/162.98 [139]~E(x1391,x1392)+E(f458(x1393,x1391,x1394),f458(x1393,x1392,x1394))
% 163.24/162.98 [140]~E(x1401,x1402)+E(f458(x1403,x1404,x1401),f458(x1403,x1404,x1402))
% 163.24/162.98 [141]~E(x1411,x1412)+E(f321(x1411,x1413),f321(x1412,x1413))
% 163.24/162.98 [142]~E(x1421,x1422)+E(f321(x1423,x1421),f321(x1423,x1422))
% 163.24/162.98 [143]~E(x1431,x1432)+E(f34(x1431,x1433),f34(x1432,x1433))
% 163.24/162.98 [144]~E(x1441,x1442)+E(f34(x1443,x1441),f34(x1443,x1442))
% 163.24/162.98 [145]~E(x1451,x1452)+E(f142(x1451),f142(x1452))
% 163.24/162.98 [146]~E(x1461,x1462)+E(f818(x1461,x1463,x1464,x1465,x1466),f818(x1462,x1463,x1464,x1465,x1466))
% 163.24/162.98 [147]~E(x1471,x1472)+E(f818(x1473,x1471,x1474,x1475,x1476),f818(x1473,x1472,x1474,x1475,x1476))
% 163.24/162.98 [148]~E(x1481,x1482)+E(f818(x1483,x1484,x1481,x1485,x1486),f818(x1483,x1484,x1482,x1485,x1486))
% 163.24/162.98 [149]~E(x1491,x1492)+E(f818(x1493,x1494,x1495,x1491,x1496),f818(x1493,x1494,x1495,x1492,x1496))
% 163.24/162.98 [150]~E(x1501,x1502)+E(f818(x1503,x1504,x1505,x1506,x1501),f818(x1503,x1504,x1505,x1506,x1502))
% 163.24/162.98 [151]~E(x1511,x1512)+E(f537(x1511,x1513),f537(x1512,x1513))
% 163.24/162.98 [152]~E(x1521,x1522)+E(f537(x1523,x1521),f537(x1523,x1522))
% 163.24/162.98 [153]~E(x1531,x1532)+E(f273(x1531,x1533,x1534,x1535,x1536,x1537),f273(x1532,x1533,x1534,x1535,x1536,x1537))
% 163.24/162.98 [154]~E(x1541,x1542)+E(f273(x1543,x1541,x1544,x1545,x1546,x1547),f273(x1543,x1542,x1544,x1545,x1546,x1547))
% 163.24/162.98 [155]~E(x1551,x1552)+E(f273(x1553,x1554,x1551,x1555,x1556,x1557),f273(x1553,x1554,x1552,x1555,x1556,x1557))
% 163.24/162.98 [156]~E(x1561,x1562)+E(f273(x1563,x1564,x1565,x1561,x1566,x1567),f273(x1563,x1564,x1565,x1562,x1566,x1567))
% 163.24/162.98 [157]~E(x1571,x1572)+E(f273(x1573,x1574,x1575,x1576,x1571,x1577),f273(x1573,x1574,x1575,x1576,x1572,x1577))
% 163.24/162.98 [158]~E(x1581,x1582)+E(f273(x1583,x1584,x1585,x1586,x1587,x1581),f273(x1583,x1584,x1585,x1586,x1587,x1582))
% 163.24/162.98 [159]~E(x1591,x1592)+E(f143(x1591,x1593,x1594,x1595),f143(x1592,x1593,x1594,x1595))
% 163.24/162.98 [160]~E(x1601,x1602)+E(f143(x1603,x1601,x1604,x1605),f143(x1603,x1602,x1604,x1605))
% 163.24/162.98 [161]~E(x1611,x1612)+E(f143(x1613,x1614,x1611,x1615),f143(x1613,x1614,x1612,x1615))
% 163.24/162.98 [162]~E(x1621,x1622)+E(f143(x1623,x1624,x1625,x1621),f143(x1623,x1624,x1625,x1622))
% 163.24/162.98 [163]~E(x1631,x1632)+E(f171(x1631,x1633,x1634),f171(x1632,x1633,x1634))
% 163.24/162.98 [164]~E(x1641,x1642)+E(f171(x1643,x1641,x1644),f171(x1643,x1642,x1644))
% 163.24/162.98 [165]~E(x1651,x1652)+E(f171(x1653,x1654,x1651),f171(x1653,x1654,x1652))
% 163.24/162.98 [166]~E(x1661,x1662)+E(f110(x1661),f110(x1662))
% 163.24/162.98 [167]~E(x1671,x1672)+E(f112(x1671),f112(x1672))
% 163.24/162.98 [168]~E(x1681,x1682)+E(f334(x1681),f334(x1682))
% 163.24/162.98 [169]~E(x1691,x1692)+E(f271(x1691,x1693),f271(x1692,x1693))
% 163.24/162.98 [170]~E(x1701,x1702)+E(f271(x1703,x1701),f271(x1703,x1702))
% 163.24/162.98 [171]~E(x1711,x1712)+E(f197(x1711),f197(x1712))
% 163.24/162.98 [172]~E(x1721,x1722)+E(f155(x1721,x1723),f155(x1722,x1723))
% 163.24/162.98 [173]~E(x1731,x1732)+E(f155(x1733,x1731),f155(x1733,x1732))
% 163.24/162.98 [174]~E(x1741,x1742)+E(f772(x1741,x1743,x1744),f772(x1742,x1743,x1744))
% 163.24/162.98 [175]~E(x1751,x1752)+E(f772(x1753,x1751,x1754),f772(x1753,x1752,x1754))
% 163.24/162.98 [176]~E(x1761,x1762)+E(f772(x1763,x1764,x1761),f772(x1763,x1764,x1762))
% 163.24/162.98 [177]~E(x1771,x1772)+E(f434(x1771,x1773,x1774,x1775),f434(x1772,x1773,x1774,x1775))
% 163.24/162.98 [178]~E(x1781,x1782)+E(f434(x1783,x1781,x1784,x1785),f434(x1783,x1782,x1784,x1785))
% 163.24/162.98 [179]~E(x1791,x1792)+E(f434(x1793,x1794,x1791,x1795),f434(x1793,x1794,x1792,x1795))
% 163.24/162.98 [180]~E(x1801,x1802)+E(f434(x1803,x1804,x1805,x1801),f434(x1803,x1804,x1805,x1802))
% 163.24/162.98 [181]~E(x1811,x1812)+E(f7(x1811),f7(x1812))
% 163.24/162.98 [182]~E(x1821,x1822)+E(f54(x1821,x1823),f54(x1822,x1823))
% 163.24/162.98 [183]~E(x1831,x1832)+E(f54(x1833,x1831),f54(x1833,x1832))
% 163.24/162.98 [184]~E(x1841,x1842)+E(f288(x1841,x1843),f288(x1842,x1843))
% 163.24/162.98 [185]~E(x1851,x1852)+E(f288(x1853,x1851),f288(x1853,x1852))
% 163.24/162.98 [186]~E(x1861,x1862)+E(f517(x1861,x1863,x1864,x1865,x1866,x1867),f517(x1862,x1863,x1864,x1865,x1866,x1867))
% 163.24/162.98 [187]~E(x1871,x1872)+E(f517(x1873,x1871,x1874,x1875,x1876,x1877),f517(x1873,x1872,x1874,x1875,x1876,x1877))
% 163.24/162.98 [188]~E(x1881,x1882)+E(f517(x1883,x1884,x1881,x1885,x1886,x1887),f517(x1883,x1884,x1882,x1885,x1886,x1887))
% 163.24/162.98 [189]~E(x1891,x1892)+E(f517(x1893,x1894,x1895,x1891,x1896,x1897),f517(x1893,x1894,x1895,x1892,x1896,x1897))
% 163.24/162.98 [190]~E(x1901,x1902)+E(f517(x1903,x1904,x1905,x1906,x1901,x1907),f517(x1903,x1904,x1905,x1906,x1902,x1907))
% 163.24/162.98 [191]~E(x1911,x1912)+E(f517(x1913,x1914,x1915,x1916,x1917,x1911),f517(x1913,x1914,x1915,x1916,x1917,x1912))
% 163.24/162.98 [192]~E(x1921,x1922)+E(f76(x1921),f76(x1922))
% 163.24/162.98 [193]~E(x1931,x1932)+E(f40(x1931),f40(x1932))
% 163.24/162.98 [194]~E(x1941,x1942)+E(f43(x1941,x1943),f43(x1942,x1943))
% 163.24/162.98 [195]~E(x1951,x1952)+E(f43(x1953,x1951),f43(x1953,x1952))
% 163.24/162.98 [196]~E(x1961,x1962)+E(f50(x1961,x1963),f50(x1962,x1963))
% 163.24/162.98 [197]~E(x1971,x1972)+E(f50(x1973,x1971),f50(x1973,x1972))
% 163.24/162.98 [198]~E(x1981,x1982)+E(f185(x1981,x1983,x1984,x1985),f185(x1982,x1983,x1984,x1985))
% 163.24/162.98 [199]~E(x1991,x1992)+E(f185(x1993,x1991,x1994,x1995),f185(x1993,x1992,x1994,x1995))
% 163.24/162.98 [200]~E(x2001,x2002)+E(f185(x2003,x2004,x2001,x2005),f185(x2003,x2004,x2002,x2005))
% 163.24/162.98 [201]~E(x2011,x2012)+E(f185(x2013,x2014,x2015,x2011),f185(x2013,x2014,x2015,x2012))
% 163.24/162.98 [202]~E(x2021,x2022)+E(f201(x2021),f201(x2022))
% 163.24/162.98 [203]~E(x2031,x2032)+E(f349(x2031,x2033,x2034,x2035,x2036),f349(x2032,x2033,x2034,x2035,x2036))
% 163.24/162.98 [204]~E(x2041,x2042)+E(f349(x2043,x2041,x2044,x2045,x2046),f349(x2043,x2042,x2044,x2045,x2046))
% 163.24/162.98 [205]~E(x2051,x2052)+E(f349(x2053,x2054,x2051,x2055,x2056),f349(x2053,x2054,x2052,x2055,x2056))
% 163.24/162.98 [206]~E(x2061,x2062)+E(f349(x2063,x2064,x2065,x2061,x2066),f349(x2063,x2064,x2065,x2062,x2066))
% 163.24/162.98 [207]~E(x2071,x2072)+E(f349(x2073,x2074,x2075,x2076,x2071),f349(x2073,x2074,x2075,x2076,x2072))
% 163.24/162.98 [208]~E(x2081,x2082)+E(f158(x2081,x2083),f158(x2082,x2083))
% 163.24/162.98 [209]~E(x2091,x2092)+E(f158(x2093,x2091),f158(x2093,x2092))
% 163.24/162.98 [210]~E(x2101,x2102)+E(f246(x2101),f246(x2102))
% 163.24/162.98 [211]~E(x2111,x2112)+E(f160(x2111,x2113),f160(x2112,x2113))
% 163.24/162.98 [212]~E(x2121,x2122)+E(f160(x2123,x2121),f160(x2123,x2122))
% 163.24/162.98 [213]~E(x2131,x2132)+E(f89(x2131,x2133),f89(x2132,x2133))
% 163.24/162.98 [214]~E(x2141,x2142)+E(f89(x2143,x2141),f89(x2143,x2142))
% 163.24/162.98 [215]~E(x2151,x2152)+E(f14(x2151,x2153,x2154),f14(x2152,x2153,x2154))
% 163.24/162.98 [216]~E(x2161,x2162)+E(f14(x2163,x2161,x2164),f14(x2163,x2162,x2164))
% 163.24/162.98 [217]~E(x2171,x2172)+E(f14(x2173,x2174,x2171),f14(x2173,x2174,x2172))
% 163.24/162.98 [218]~E(x2181,x2182)+E(f169(x2181),f169(x2182))
% 163.24/162.98 [219]~E(x2191,x2192)+E(f426(x2191,x2193),f426(x2192,x2193))
% 163.24/162.98 [220]~E(x2201,x2202)+E(f426(x2203,x2201),f426(x2203,x2202))
% 163.24/162.98 [221]~E(x2211,x2212)+E(f41(x2211,x2213),f41(x2212,x2213))
% 163.24/162.98 [222]~E(x2221,x2222)+E(f41(x2223,x2221),f41(x2223,x2222))
% 163.24/162.98 [223]~E(x2231,x2232)+E(f13(x2231,x2233),f13(x2232,x2233))
% 163.24/162.98 [224]~E(x2241,x2242)+E(f13(x2243,x2241),f13(x2243,x2242))
% 163.24/162.98 [225]~E(x2251,x2252)+E(f182(x2251,x2253),f182(x2252,x2253))
% 163.24/162.98 [226]~E(x2261,x2262)+E(f182(x2263,x2261),f182(x2263,x2262))
% 163.24/162.98 [227]~E(x2271,x2272)+E(f468(x2271,x2273),f468(x2272,x2273))
% 163.24/162.98 [228]~E(x2281,x2282)+E(f468(x2283,x2281),f468(x2283,x2282))
% 163.24/162.98 [229]~E(x2291,x2292)+E(f444(x2291,x2293,x2294,x2295),f444(x2292,x2293,x2294,x2295))
% 163.24/162.98 [230]~E(x2301,x2302)+E(f444(x2303,x2301,x2304,x2305),f444(x2303,x2302,x2304,x2305))
% 163.24/162.98 [231]~E(x2311,x2312)+E(f444(x2313,x2314,x2311,x2315),f444(x2313,x2314,x2312,x2315))
% 163.24/162.98 [232]~E(x2321,x2322)+E(f444(x2323,x2324,x2325,x2321),f444(x2323,x2324,x2325,x2322))
% 163.24/162.98 [233]~E(x2331,x2332)+E(f65(x2331,x2333),f65(x2332,x2333))
% 163.24/162.98 [234]~E(x2341,x2342)+E(f65(x2343,x2341),f65(x2343,x2342))
% 163.24/162.98 [235]~E(x2351,x2352)+E(f138(x2351),f138(x2352))
% 163.24/162.98 [236]~E(x2361,x2362)+E(f44(x2361,x2363),f44(x2362,x2363))
% 163.24/162.98 [237]~E(x2371,x2372)+E(f44(x2373,x2371),f44(x2373,x2372))
% 163.24/162.98 [238]~E(x2381,x2382)+E(f18(x2381,x2383),f18(x2382,x2383))
% 163.24/162.98 [239]~E(x2391,x2392)+E(f18(x2393,x2391),f18(x2393,x2392))
% 163.24/162.98 [240]~E(x2401,x2402)+E(f139(x2401),f139(x2402))
% 163.24/162.98 [241]~E(x2411,x2412)+E(f678(x2411,x2413),f678(x2412,x2413))
% 163.24/162.98 [242]~E(x2421,x2422)+E(f678(x2423,x2421),f678(x2423,x2422))
% 163.24/162.98 [243]~E(x2431,x2432)+E(f232(x2431,x2433,x2434),f232(x2432,x2433,x2434))
% 163.24/162.98 [244]~E(x2441,x2442)+E(f232(x2443,x2441,x2444),f232(x2443,x2442,x2444))
% 163.24/162.98 [245]~E(x2451,x2452)+E(f232(x2453,x2454,x2451),f232(x2453,x2454,x2452))
% 163.24/162.98 [246]~E(x2461,x2462)+E(f226(x2461,x2463),f226(x2462,x2463))
% 163.24/162.98 [247]~E(x2471,x2472)+E(f226(x2473,x2471),f226(x2473,x2472))
% 163.24/162.98 [248]~E(x2481,x2482)+E(f66(x2481,x2483,x2484),f66(x2482,x2483,x2484))
% 163.24/162.98 [249]~E(x2491,x2492)+E(f66(x2493,x2491,x2494),f66(x2493,x2492,x2494))
% 163.24/162.98 [250]~E(x2501,x2502)+E(f66(x2503,x2504,x2501),f66(x2503,x2504,x2502))
% 163.24/162.98 [251]~E(x2511,x2512)+E(f823(x2511,x2513,x2514),f823(x2512,x2513,x2514))
% 163.24/162.98 [252]~E(x2521,x2522)+E(f823(x2523,x2521,x2524),f823(x2523,x2522,x2524))
% 163.24/162.98 [253]~E(x2531,x2532)+E(f823(x2533,x2534,x2531),f823(x2533,x2534,x2532))
% 163.24/162.98 [254]~E(x2541,x2542)+E(f791(x2541,x2543,x2544,x2545),f791(x2542,x2543,x2544,x2545))
% 163.24/162.98 [255]~E(x2551,x2552)+E(f791(x2553,x2551,x2554,x2555),f791(x2553,x2552,x2554,x2555))
% 163.24/162.98 [256]~E(x2561,x2562)+E(f791(x2563,x2564,x2561,x2565),f791(x2563,x2564,x2562,x2565))
% 163.24/162.98 [257]~E(x2571,x2572)+E(f791(x2573,x2574,x2575,x2571),f791(x2573,x2574,x2575,x2572))
% 163.24/162.98 [258]~E(x2581,x2582)+E(f56(x2581,x2583,x2584),f56(x2582,x2583,x2584))
% 163.24/162.98 [259]~E(x2591,x2592)+E(f56(x2593,x2591,x2594),f56(x2593,x2592,x2594))
% 163.24/162.98 [260]~E(x2601,x2602)+E(f56(x2603,x2604,x2601),f56(x2603,x2604,x2602))
% 163.24/162.98 [261]~E(x2611,x2612)+E(f708(x2611,x2613,x2614,x2615,x2616),f708(x2612,x2613,x2614,x2615,x2616))
% 163.24/162.98 [262]~E(x2621,x2622)+E(f708(x2623,x2621,x2624,x2625,x2626),f708(x2623,x2622,x2624,x2625,x2626))
% 163.24/162.98 [263]~E(x2631,x2632)+E(f708(x2633,x2634,x2631,x2635,x2636),f708(x2633,x2634,x2632,x2635,x2636))
% 163.24/162.98 [264]~E(x2641,x2642)+E(f708(x2643,x2644,x2645,x2641,x2646),f708(x2643,x2644,x2645,x2642,x2646))
% 163.24/162.98 [265]~E(x2651,x2652)+E(f708(x2653,x2654,x2655,x2656,x2651),f708(x2653,x2654,x2655,x2656,x2652))
% 163.24/162.98 [266]~E(x2661,x2662)+E(f170(x2661),f170(x2662))
% 163.24/162.98 [267]~E(x2671,x2672)+E(f119(x2671,x2673),f119(x2672,x2673))
% 163.24/162.98 [268]~E(x2681,x2682)+E(f119(x2683,x2681),f119(x2683,x2682))
% 163.24/162.98 [269]~E(x2691,x2692)+E(f177(x2691,x2693,x2694),f177(x2692,x2693,x2694))
% 163.24/162.98 [270]~E(x2701,x2702)+E(f177(x2703,x2701,x2704),f177(x2703,x2702,x2704))
% 163.24/162.98 [271]~E(x2711,x2712)+E(f177(x2713,x2714,x2711),f177(x2713,x2714,x2712))
% 163.24/162.98 [272]~E(x2721,x2722)+E(f16(x2721,x2723),f16(x2722,x2723))
% 163.24/162.98 [273]~E(x2731,x2732)+E(f16(x2733,x2731),f16(x2733,x2732))
% 163.24/162.98 [274]~E(x2741,x2742)+E(f262(x2741,x2743),f262(x2742,x2743))
% 163.24/162.98 [275]~E(x2751,x2752)+E(f262(x2753,x2751),f262(x2753,x2752))
% 163.24/162.98 [276]~E(x2761,x2762)+E(f270(x2761,x2763),f270(x2762,x2763))
% 163.24/162.98 [277]~E(x2771,x2772)+E(f270(x2773,x2771),f270(x2773,x2772))
% 163.24/162.98 [278]~E(x2781,x2782)+E(f198(x2781),f198(x2782))
% 163.24/162.98 [279]~E(x2791,x2792)+E(f696(x2791,x2793),f696(x2792,x2793))
% 163.24/162.98 [280]~E(x2801,x2802)+E(f696(x2803,x2801),f696(x2803,x2802))
% 163.24/162.98 [281]~E(x2811,x2812)+E(f120(x2811),f120(x2812))
% 163.24/162.98 [282]~E(x2821,x2822)+E(f654(x2821,x2823),f654(x2822,x2823))
% 163.24/162.98 [283]~E(x2831,x2832)+E(f654(x2833,x2831),f654(x2833,x2832))
% 163.24/162.98 [284]~E(x2841,x2842)+E(f280(x2841,x2843),f280(x2842,x2843))
% 163.24/162.98 [285]~E(x2851,x2852)+E(f280(x2853,x2851),f280(x2853,x2852))
% 163.24/162.98 [286]~E(x2861,x2862)+E(f722(x2861,x2863),f722(x2862,x2863))
% 163.24/162.98 [287]~E(x2871,x2872)+E(f722(x2873,x2871),f722(x2873,x2872))
% 163.24/162.98 [288]~E(x2881,x2882)+E(f324(x2881,x2883),f324(x2882,x2883))
% 163.24/162.98 [289]~E(x2891,x2892)+E(f324(x2893,x2891),f324(x2893,x2892))
% 163.24/162.98 [290]~E(x2901,x2902)+E(f272(x2901,x2903,x2904),f272(x2902,x2903,x2904))
% 163.24/162.98 [291]~E(x2911,x2912)+E(f272(x2913,x2911,x2914),f272(x2913,x2912,x2914))
% 163.24/162.98 [292]~E(x2921,x2922)+E(f272(x2923,x2924,x2921),f272(x2923,x2924,x2922))
% 163.24/162.98 [293]~E(x2931,x2932)+E(f166(x2931),f166(x2932))
% 163.24/162.98 [294]~E(x2941,x2942)+E(f888(x2941,x2943),f888(x2942,x2943))
% 163.24/162.98 [295]~E(x2951,x2952)+E(f888(x2953,x2951),f888(x2953,x2952))
% 163.24/162.98 [296]~E(x2961,x2962)+E(f742(x2961,x2963,x2964),f742(x2962,x2963,x2964))
% 163.24/162.98 [297]~E(x2971,x2972)+E(f742(x2973,x2971,x2974),f742(x2973,x2972,x2974))
% 163.24/162.98 [298]~E(x2981,x2982)+E(f742(x2983,x2984,x2981),f742(x2983,x2984,x2982))
% 163.24/162.98 [299]~E(x2991,x2992)+E(f885(x2991,x2993),f885(x2992,x2993))
% 163.24/162.98 [300]~E(x3001,x3002)+E(f885(x3003,x3001),f885(x3003,x3002))
% 163.24/162.98 [301]~E(x3011,x3012)+E(f487(x3011,x3013,x3014),f487(x3012,x3013,x3014))
% 163.24/162.98 [302]~E(x3021,x3022)+E(f487(x3023,x3021,x3024),f487(x3023,x3022,x3024))
% 163.24/162.98 [303]~E(x3031,x3032)+E(f487(x3033,x3034,x3031),f487(x3033,x3034,x3032))
% 163.24/162.98 [304]~E(x3041,x3042)+E(f259(x3041,x3043),f259(x3042,x3043))
% 163.24/162.98 [305]~E(x3051,x3052)+E(f259(x3053,x3051),f259(x3053,x3052))
% 163.24/162.98 [306]~E(x3061,x3062)+E(f290(x3061,x3063,x3064),f290(x3062,x3063,x3064))
% 163.24/162.98 [307]~E(x3071,x3072)+E(f290(x3073,x3071,x3074),f290(x3073,x3072,x3074))
% 163.24/162.98 [308]~E(x3081,x3082)+E(f290(x3083,x3084,x3081),f290(x3083,x3084,x3082))
% 163.24/162.98 [309]~E(x3091,x3092)+E(f313(x3091,x3093,x3094),f313(x3092,x3093,x3094))
% 163.24/162.98 [310]~E(x3101,x3102)+E(f313(x3103,x3101,x3104),f313(x3103,x3102,x3104))
% 163.24/162.98 [311]~E(x3111,x3112)+E(f313(x3113,x3114,x3111),f313(x3113,x3114,x3112))
% 163.24/162.98 [312]~E(x3121,x3122)+E(f101(x3121),f101(x3122))
% 163.24/162.98 [313]~E(x3131,x3132)+E(f225(x3131,x3133),f225(x3132,x3133))
% 163.24/162.98 [314]~E(x3141,x3142)+E(f225(x3143,x3141),f225(x3143,x3142))
% 163.24/162.98 [315]~E(x3151,x3152)+E(f279(x3151,x3153),f279(x3152,x3153))
% 163.24/162.98 [316]~E(x3161,x3162)+E(f279(x3163,x3161),f279(x3163,x3162))
% 163.24/162.98 [317]~E(x3171,x3172)+E(f172(x3171),f172(x3172))
% 163.24/162.98 [318]~E(x3181,x3182)+E(f312(x3181,x3183,x3184),f312(x3182,x3183,x3184))
% 163.24/162.98 [319]~E(x3191,x3192)+E(f312(x3193,x3191,x3194),f312(x3193,x3192,x3194))
% 163.24/162.98 [320]~E(x3201,x3202)+E(f312(x3203,x3204,x3201),f312(x3203,x3204,x3202))
% 163.24/162.98 [321]~E(x3211,x3212)+E(f430(x3211,x3213,x3214),f430(x3212,x3213,x3214))
% 163.24/162.98 [322]~E(x3221,x3222)+E(f430(x3223,x3221,x3224),f430(x3223,x3222,x3224))
% 163.24/162.98 [323]~E(x3231,x3232)+E(f430(x3233,x3234,x3231),f430(x3233,x3234,x3232))
% 163.24/162.98 [324]~E(x3241,x3242)+E(f264(x3241),f264(x3242))
% 163.24/162.98 [325]~E(x3251,x3252)+E(f189(x3251,x3253),f189(x3252,x3253))
% 163.24/162.98 [326]~E(x3261,x3262)+E(f189(x3263,x3261),f189(x3263,x3262))
% 163.24/162.98 [327]~E(x3271,x3272)+E(f819(x3271,x3273,x3274),f819(x3272,x3273,x3274))
% 163.24/162.98 [328]~E(x3281,x3282)+E(f819(x3283,x3281,x3284),f819(x3283,x3282,x3284))
% 163.24/162.98 [329]~E(x3291,x3292)+E(f819(x3293,x3294,x3291),f819(x3293,x3294,x3292))
% 163.24/162.98 [330]~E(x3301,x3302)+E(f87(x3301),f87(x3302))
% 163.24/162.98 [331]~E(x3311,x3312)+E(f341(x3311),f341(x3312))
% 163.24/162.98 [332]~E(x3321,x3322)+E(f390(x3321),f390(x3322))
% 163.24/162.98 [333]~E(x3331,x3332)+E(f68(x3331,x3333,x3334,x3335,x3336),f68(x3332,x3333,x3334,x3335,x3336))
% 163.24/162.98 [334]~E(x3341,x3342)+E(f68(x3343,x3341,x3344,x3345,x3346),f68(x3343,x3342,x3344,x3345,x3346))
% 163.24/162.98 [335]~E(x3351,x3352)+E(f68(x3353,x3354,x3351,x3355,x3356),f68(x3353,x3354,x3352,x3355,x3356))
% 163.24/162.98 [336]~E(x3361,x3362)+E(f68(x3363,x3364,x3365,x3361,x3366),f68(x3363,x3364,x3365,x3362,x3366))
% 163.24/162.98 [337]~E(x3371,x3372)+E(f68(x3373,x3374,x3375,x3376,x3371),f68(x3373,x3374,x3375,x3376,x3372))
% 163.24/162.98 [338]~E(x3381,x3382)+E(f589(x3381,x3383,x3384,x3385,x3386),f589(x3382,x3383,x3384,x3385,x3386))
% 163.24/162.98 [339]~E(x3391,x3392)+E(f589(x3393,x3391,x3394,x3395,x3396),f589(x3393,x3392,x3394,x3395,x3396))
% 163.24/162.98 [340]~E(x3401,x3402)+E(f589(x3403,x3404,x3401,x3405,x3406),f589(x3403,x3404,x3402,x3405,x3406))
% 163.24/162.98 [341]~E(x3411,x3412)+E(f589(x3413,x3414,x3415,x3411,x3416),f589(x3413,x3414,x3415,x3412,x3416))
% 163.24/162.98 [342]~E(x3421,x3422)+E(f589(x3423,x3424,x3425,x3426,x3421),f589(x3423,x3424,x3425,x3426,x3422))
% 163.24/162.98 [343]~E(x3431,x3432)+E(f156(x3431,x3433,x3434),f156(x3432,x3433,x3434))
% 163.24/162.98 [344]~E(x3441,x3442)+E(f156(x3443,x3441,x3444),f156(x3443,x3442,x3444))
% 163.24/162.98 [345]~E(x3451,x3452)+E(f156(x3453,x3454,x3451),f156(x3453,x3454,x3452))
% 163.24/162.98 [346]~E(x3461,x3462)+E(f178(x3461,x3463),f178(x3462,x3463))
% 163.24/162.98 [347]~E(x3471,x3472)+E(f178(x3473,x3471),f178(x3473,x3472))
% 163.24/162.98 [348]~E(x3481,x3482)+E(f39(x3481),f39(x3482))
% 163.24/162.98 [349]~E(x3491,x3492)+E(f154(x3491,x3493),f154(x3492,x3493))
% 163.24/162.98 [350]~E(x3501,x3502)+E(f154(x3503,x3501),f154(x3503,x3502))
% 163.24/162.98 [351]~E(x3511,x3512)+E(f174(x3511),f174(x3512))
% 163.24/162.98 [352]~E(x3521,x3522)+E(f629(x3521,x3523,x3524),f629(x3522,x3523,x3524))
% 163.24/162.98 [353]~E(x3531,x3532)+E(f629(x3533,x3531,x3534),f629(x3533,x3532,x3534))
% 163.24/162.98 [354]~E(x3541,x3542)+E(f629(x3543,x3544,x3541),f629(x3543,x3544,x3542))
% 163.24/162.98 [355]~E(x3551,x3552)+E(f325(x3551,x3553),f325(x3552,x3553))
% 163.24/162.98 [356]~E(x3561,x3562)+E(f325(x3563,x3561),f325(x3563,x3562))
% 163.24/162.98 [357]~E(x3571,x3572)+E(f30(x3571,x3573,x3574),f30(x3572,x3573,x3574))
% 163.24/162.98 [358]~E(x3581,x3582)+E(f30(x3583,x3581,x3584),f30(x3583,x3582,x3584))
% 163.24/162.98 [359]~E(x3591,x3592)+E(f30(x3593,x3594,x3591),f30(x3593,x3594,x3592))
% 163.24/162.98 [360]~E(x3601,x3602)+E(f144(x3601,x3603),f144(x3602,x3603))
% 163.24/162.98 [361]~E(x3611,x3612)+E(f144(x3613,x3611),f144(x3613,x3612))
% 163.24/162.98 [362]~E(x3621,x3622)+E(f206(x3621,x3623,x3624,x3625),f206(x3622,x3623,x3624,x3625))
% 163.24/162.98 [363]~E(x3631,x3632)+E(f206(x3633,x3631,x3634,x3635),f206(x3633,x3632,x3634,x3635))
% 163.24/162.98 [364]~E(x3641,x3642)+E(f206(x3643,x3644,x3641,x3645),f206(x3643,x3644,x3642,x3645))
% 163.24/162.98 [365]~E(x3651,x3652)+E(f206(x3653,x3654,x3655,x3651),f206(x3653,x3654,x3655,x3652))
% 163.24/162.98 [366]~E(x3661,x3662)+E(f816(x3661,x3663,x3664,x3665),f816(x3662,x3663,x3664,x3665))
% 163.24/162.98 [367]~E(x3671,x3672)+E(f816(x3673,x3671,x3674,x3675),f816(x3673,x3672,x3674,x3675))
% 163.24/162.98 [368]~E(x3681,x3682)+E(f816(x3683,x3684,x3681,x3685),f816(x3683,x3684,x3682,x3685))
% 163.24/162.98 [369]~E(x3691,x3692)+E(f816(x3693,x3694,x3695,x3691),f816(x3693,x3694,x3695,x3692))
% 163.24/162.98 [370]~E(x3701,x3702)+E(f617(x3701,x3703,x3704),f617(x3702,x3703,x3704))
% 163.24/162.98 [371]~E(x3711,x3712)+E(f617(x3713,x3711,x3714),f617(x3713,x3712,x3714))
% 163.24/162.98 [372]~E(x3721,x3722)+E(f617(x3723,x3724,x3721),f617(x3723,x3724,x3722))
% 163.24/162.98 [373]~E(x3731,x3732)+E(f449(x3731,x3733,x3734,x3735),f449(x3732,x3733,x3734,x3735))
% 163.24/162.98 [374]~E(x3741,x3742)+E(f449(x3743,x3741,x3744,x3745),f449(x3743,x3742,x3744,x3745))
% 163.24/162.98 [375]~E(x3751,x3752)+E(f449(x3753,x3754,x3751,x3755),f449(x3753,x3754,x3752,x3755))
% 163.24/162.98 [376]~E(x3761,x3762)+E(f449(x3763,x3764,x3765,x3761),f449(x3763,x3764,x3765,x3762))
% 163.24/162.98 [377]~E(x3771,x3772)+E(f236(x3771,x3773),f236(x3772,x3773))
% 163.24/162.98 [378]~E(x3781,x3782)+E(f236(x3783,x3781),f236(x3783,x3782))
% 163.24/162.98 [379]~E(x3791,x3792)+E(f307(x3791,x3793,x3794),f307(x3792,x3793,x3794))
% 163.24/162.98 [380]~E(x3801,x3802)+E(f307(x3803,x3801,x3804),f307(x3803,x3802,x3804))
% 163.24/162.98 [381]~E(x3811,x3812)+E(f307(x3813,x3814,x3811),f307(x3813,x3814,x3812))
% 163.24/162.98 [382]~E(x3821,x3822)+E(f67(x3821,x3823,x3824),f67(x3822,x3823,x3824))
% 163.24/162.98 [383]~E(x3831,x3832)+E(f67(x3833,x3831,x3834),f67(x3833,x3832,x3834))
% 163.24/162.98 [384]~E(x3841,x3842)+E(f67(x3843,x3844,x3841),f67(x3843,x3844,x3842))
% 163.24/162.98 [385]~E(x3851,x3852)+E(f774(x3851,x3853,x3854,x3855,x3856),f774(x3852,x3853,x3854,x3855,x3856))
% 163.24/162.98 [386]~E(x3861,x3862)+E(f774(x3863,x3861,x3864,x3865,x3866),f774(x3863,x3862,x3864,x3865,x3866))
% 163.24/162.98 [387]~E(x3871,x3872)+E(f774(x3873,x3874,x3871,x3875,x3876),f774(x3873,x3874,x3872,x3875,x3876))
% 163.24/162.98 [388]~E(x3881,x3882)+E(f774(x3883,x3884,x3885,x3881,x3886),f774(x3883,x3884,x3885,x3882,x3886))
% 163.24/162.98 [389]~E(x3891,x3892)+E(f774(x3893,x3894,x3895,x3896,x3891),f774(x3893,x3894,x3895,x3896,x3892))
% 163.24/162.98 [390]~E(x3901,x3902)+E(f51(x3901,x3903),f51(x3902,x3903))
% 163.24/162.98 [391]~E(x3911,x3912)+E(f51(x3913,x3911),f51(x3913,x3912))
% 163.24/162.98 [392]~E(x3921,x3922)+E(f309(x3921,x3923),f309(x3922,x3923))
% 163.24/162.98 [393]~E(x3931,x3932)+E(f309(x3933,x3931),f309(x3933,x3932))
% 163.24/162.98 [394]~E(x3941,x3942)+E(f33(x3941,x3943),f33(x3942,x3943))
% 163.24/162.98 [395]~E(x3951,x3952)+E(f33(x3953,x3951),f33(x3953,x3952))
% 163.24/162.98 [396]~E(x3961,x3962)+E(f192(x3961),f192(x3962))
% 163.24/162.98 [397]~E(x3971,x3972)+E(f289(x3971,x3973),f289(x3972,x3973))
% 163.24/162.98 [398]~E(x3981,x3982)+E(f289(x3983,x3981),f289(x3983,x3982))
% 163.24/162.98 [399]~E(x3991,x3992)+E(f591(x3991,x3993,x3994,x3995,x3996),f591(x3992,x3993,x3994,x3995,x3996))
% 163.24/162.98 [400]~E(x4001,x4002)+E(f591(x4003,x4001,x4004,x4005,x4006),f591(x4003,x4002,x4004,x4005,x4006))
% 163.24/162.98 [401]~E(x4011,x4012)+E(f591(x4013,x4014,x4011,x4015,x4016),f591(x4013,x4014,x4012,x4015,x4016))
% 163.24/162.98 [402]~E(x4021,x4022)+E(f591(x4023,x4024,x4025,x4021,x4026),f591(x4023,x4024,x4025,x4022,x4026))
% 163.24/162.98 [403]~E(x4031,x4032)+E(f591(x4033,x4034,x4035,x4036,x4031),f591(x4033,x4034,x4035,x4036,x4032))
% 163.24/162.98 [404]~E(x4041,x4042)+E(f658(x4041,x4043,x4044),f658(x4042,x4043,x4044))
% 163.24/162.98 [405]~E(x4051,x4052)+E(f658(x4053,x4051,x4054),f658(x4053,x4052,x4054))
% 163.24/162.98 [406]~E(x4061,x4062)+E(f658(x4063,x4064,x4061),f658(x4063,x4064,x4062))
% 163.24/162.98 [407]~E(x4071,x4072)+E(f831(x4071),f831(x4072))
% 163.24/162.98 [408]~E(x4081,x4082)+E(f91(x4081,x4083),f91(x4082,x4083))
% 163.24/162.98 [409]~E(x4091,x4092)+E(f91(x4093,x4091),f91(x4093,x4092))
% 163.24/162.98 [410]~E(x4101,x4102)+E(f179(x4101,x4103),f179(x4102,x4103))
% 163.24/162.98 [411]~E(x4111,x4112)+E(f179(x4113,x4111),f179(x4113,x4112))
% 163.24/162.98 [412]~E(x4121,x4122)+E(f593(x4121,x4123,x4124,x4125,x4126),f593(x4122,x4123,x4124,x4125,x4126))
% 163.24/162.98 [413]~E(x4131,x4132)+E(f593(x4133,x4131,x4134,x4135,x4136),f593(x4133,x4132,x4134,x4135,x4136))
% 163.24/162.98 [414]~E(x4141,x4142)+E(f593(x4143,x4144,x4141,x4145,x4146),f593(x4143,x4144,x4142,x4145,x4146))
% 163.24/162.98 [415]~E(x4151,x4152)+E(f593(x4153,x4154,x4155,x4151,x4156),f593(x4153,x4154,x4155,x4152,x4156))
% 163.24/162.98 [416]~E(x4161,x4162)+E(f593(x4163,x4164,x4165,x4166,x4161),f593(x4163,x4164,x4165,x4166,x4162))
% 163.24/162.98 [417]~E(x4171,x4172)+E(f181(x4171),f181(x4172))
% 163.24/162.98 [418]~E(x4181,x4182)+E(f360(x4181,x4183,x4184,x4185,x4186),f360(x4182,x4183,x4184,x4185,x4186))
% 163.24/162.98 [419]~E(x4191,x4192)+E(f360(x4193,x4191,x4194,x4195,x4196),f360(x4193,x4192,x4194,x4195,x4196))
% 163.24/162.98 [420]~E(x4201,x4202)+E(f360(x4203,x4204,x4201,x4205,x4206),f360(x4203,x4204,x4202,x4205,x4206))
% 163.24/162.98 [421]~E(x4211,x4212)+E(f360(x4213,x4214,x4215,x4211,x4216),f360(x4213,x4214,x4215,x4212,x4216))
% 163.24/162.98 [422]~E(x4221,x4222)+E(f360(x4223,x4224,x4225,x4226,x4221),f360(x4223,x4224,x4225,x4226,x4222))
% 163.24/162.98 [423]~E(x4231,x4232)+E(f441(x4231,x4233,x4234,x4235),f441(x4232,x4233,x4234,x4235))
% 163.24/162.98 [424]~E(x4241,x4242)+E(f441(x4243,x4241,x4244,x4245),f441(x4243,x4242,x4244,x4245))
% 163.24/162.98 [425]~E(x4251,x4252)+E(f441(x4253,x4254,x4251,x4255),f441(x4253,x4254,x4252,x4255))
% 163.24/162.98 [426]~E(x4261,x4262)+E(f441(x4263,x4264,x4265,x4261),f441(x4263,x4264,x4265,x4262))
% 163.24/162.98 [427]~E(x4271,x4272)+E(f863(x4271,x4273,x4274),f863(x4272,x4273,x4274))
% 163.24/162.98 [428]~E(x4281,x4282)+E(f863(x4283,x4281,x4284),f863(x4283,x4282,x4284))
% 163.24/162.98 [429]~E(x4291,x4292)+E(f863(x4293,x4294,x4291),f863(x4293,x4294,x4292))
% 163.24/162.98 [430]~E(x4301,x4302)+E(f723(x4301,x4303),f723(x4302,x4303))
% 163.24/162.98 [431]~E(x4311,x4312)+E(f723(x4313,x4311),f723(x4313,x4312))
% 163.24/162.98 [432]~E(x4321,x4322)+E(f322(x4321,x4323),f322(x4322,x4323))
% 163.24/162.98 [433]~E(x4331,x4332)+E(f322(x4333,x4331),f322(x4333,x4332))
% 163.24/162.98 [434]~E(x4341,x4342)+E(f460(x4341,x4343,x4344,x4345),f460(x4342,x4343,x4344,x4345))
% 163.24/162.98 [435]~E(x4351,x4352)+E(f460(x4353,x4351,x4354,x4355),f460(x4353,x4352,x4354,x4355))
% 163.24/162.98 [436]~E(x4361,x4362)+E(f460(x4363,x4364,x4361,x4365),f460(x4363,x4364,x4362,x4365))
% 163.24/162.98 [437]~E(x4371,x4372)+E(f460(x4373,x4374,x4375,x4371),f460(x4373,x4374,x4375,x4372))
% 163.24/162.98 [438]~E(x4381,x4382)+E(f402(x4381,x4383,x4384),f402(x4382,x4383,x4384))
% 163.24/162.98 [439]~E(x4391,x4392)+E(f402(x4393,x4391,x4394),f402(x4393,x4392,x4394))
% 163.24/162.98 [440]~E(x4401,x4402)+E(f402(x4403,x4404,x4401),f402(x4403,x4404,x4402))
% 163.24/162.98 [441]~E(x4411,x4412)+E(f506(x4411,x4413,x4414),f506(x4412,x4413,x4414))
% 163.24/162.98 [442]~E(x4421,x4422)+E(f506(x4423,x4421,x4424),f506(x4423,x4422,x4424))
% 163.24/162.98 [443]~E(x4431,x4432)+E(f506(x4433,x4434,x4431),f506(x4433,x4434,x4432))
% 163.24/162.98 [444]~E(x4441,x4442)+E(f605(x4441,x4443,x4444),f605(x4442,x4443,x4444))
% 163.24/162.98 [445]~E(x4451,x4452)+E(f605(x4453,x4451,x4454),f605(x4453,x4452,x4454))
% 163.24/162.98 [446]~E(x4461,x4462)+E(f605(x4463,x4464,x4461),f605(x4463,x4464,x4462))
% 163.24/162.98 [447]~E(x4471,x4472)+E(f61(x4471,x4473,x4474,x4475),f61(x4472,x4473,x4474,x4475))
% 163.24/162.98 [448]~E(x4481,x4482)+E(f61(x4483,x4481,x4484,x4485),f61(x4483,x4482,x4484,x4485))
% 163.24/162.98 [449]~E(x4491,x4492)+E(f61(x4493,x4494,x4491,x4495),f61(x4493,x4494,x4492,x4495))
% 163.24/162.98 [450]~E(x4501,x4502)+E(f61(x4503,x4504,x4505,x4501),f61(x4503,x4504,x4505,x4502))
% 163.24/162.98 [451]~E(x4511,x4512)+E(f11(x4511,x4513),f11(x4512,x4513))
% 163.24/162.98 [452]~E(x4521,x4522)+E(f11(x4523,x4521),f11(x4523,x4522))
% 163.24/162.98 [453]~E(x4531,x4532)+E(f450(x4531,x4533,x4534,x4535),f450(x4532,x4533,x4534,x4535))
% 163.24/162.98 [454]~E(x4541,x4542)+E(f450(x4543,x4541,x4544,x4545),f450(x4543,x4542,x4544,x4545))
% 163.24/162.98 [455]~E(x4551,x4552)+E(f450(x4553,x4554,x4551,x4555),f450(x4553,x4554,x4552,x4555))
% 163.24/162.98 [456]~E(x4561,x4562)+E(f450(x4563,x4564,x4565,x4561),f450(x4563,x4564,x4565,x4562))
% 163.24/162.98 [457]~E(x4571,x4572)+E(f75(x4571,x4573),f75(x4572,x4573))
% 163.24/162.98 [458]~E(x4581,x4582)+E(f75(x4583,x4581),f75(x4583,x4582))
% 163.24/162.98 [459]~E(x4591,x4592)+E(f42(x4591,x4593),f42(x4592,x4593))
% 163.24/162.98 [460]~E(x4601,x4602)+E(f42(x4603,x4601),f42(x4603,x4602))
% 163.24/162.98 [461]~E(x4611,x4612)+E(f94(x4611,x4613,x4614),f94(x4612,x4613,x4614))
% 163.24/162.98 [462]~E(x4621,x4622)+E(f94(x4623,x4621,x4624),f94(x4623,x4622,x4624))
% 163.24/162.98 [463]~E(x4631,x4632)+E(f94(x4633,x4634,x4631),f94(x4633,x4634,x4632))
% 163.24/162.98 [464]~E(x4641,x4642)+E(f318(x4641),f318(x4642))
% 163.24/162.98 [465]~E(x4651,x4652)+E(f60(x4651),f60(x4652))
% 163.24/162.98 [466]~E(x4661,x4662)+E(f180(x4661,x4663),f180(x4662,x4663))
% 163.24/162.98 [467]~E(x4671,x4672)+E(f180(x4673,x4671),f180(x4673,x4672))
% 163.24/162.98 [468]~E(x4681,x4682)+E(f31(x4681,x4683,x4684),f31(x4682,x4683,x4684))
% 163.24/162.98 [469]~E(x4691,x4692)+E(f31(x4693,x4691,x4694),f31(x4693,x4692,x4694))
% 163.24/162.98 [470]~E(x4701,x4702)+E(f31(x4703,x4704,x4701),f31(x4703,x4704,x4702))
% 163.24/162.98 [471]~E(x4711,x4712)+E(f497(x4711,x4713),f497(x4712,x4713))
% 163.24/162.98 [472]~E(x4721,x4722)+E(f497(x4723,x4721),f497(x4723,x4722))
% 163.24/162.98 [473]~E(x4731,x4732)+E(f267(x4731,x4733),f267(x4732,x4733))
% 163.24/162.98 [474]~E(x4741,x4742)+E(f267(x4743,x4741),f267(x4743,x4742))
% 163.24/162.98 [475]~E(x4751,x4752)+E(f237(x4751,x4753,x4754),f237(x4752,x4753,x4754))
% 163.24/162.98 [476]~E(x4761,x4762)+E(f237(x4763,x4761,x4764),f237(x4763,x4762,x4764))
% 163.24/162.98 [477]~E(x4771,x4772)+E(f237(x4773,x4774,x4771),f237(x4773,x4774,x4772))
% 163.24/162.98 [478]~E(x4781,x4782)+E(f822(x4781,x4783,x4784),f822(x4782,x4783,x4784))
% 163.24/162.98 [479]~E(x4791,x4792)+E(f822(x4793,x4791,x4794),f822(x4793,x4792,x4794))
% 163.24/162.98 [480]~E(x4801,x4802)+E(f822(x4803,x4804,x4801),f822(x4803,x4804,x4802))
% 163.24/162.98 [481]~E(x4811,x4812)+E(f175(x4811,x4813,x4814),f175(x4812,x4813,x4814))
% 163.24/162.98 [482]~E(x4821,x4822)+E(f175(x4823,x4821,x4824),f175(x4823,x4822,x4824))
% 163.24/162.98 [483]~E(x4831,x4832)+E(f175(x4833,x4834,x4831),f175(x4833,x4834,x4832))
% 163.24/162.98 [484]~E(x4841,x4842)+E(f378(x4841,x4843,x4844),f378(x4842,x4843,x4844))
% 163.24/162.98 [485]~E(x4851,x4852)+E(f378(x4853,x4851,x4854),f378(x4853,x4852,x4854))
% 163.24/162.98 [486]~E(x4861,x4862)+E(f378(x4863,x4864,x4861),f378(x4863,x4864,x4862))
% 163.24/162.98 [487]~E(x4871,x4872)+E(f308(x4871),f308(x4872))
% 163.24/162.98 [488]~E(x4881,x4882)+E(f710(x4881,x4883,x4884,x4885),f710(x4882,x4883,x4884,x4885))
% 163.24/162.98 [489]~E(x4891,x4892)+E(f710(x4893,x4891,x4894,x4895),f710(x4893,x4892,x4894,x4895))
% 163.24/162.98 [490]~E(x4901,x4902)+E(f710(x4903,x4904,x4901,x4905),f710(x4903,x4904,x4902,x4905))
% 163.24/162.98 [491]~E(x4911,x4912)+E(f710(x4913,x4914,x4915,x4911),f710(x4913,x4914,x4915,x4912))
% 163.24/162.98 [492]~E(x4921,x4922)+E(f611(x4921,x4923,x4924,x4925),f611(x4922,x4923,x4924,x4925))
% 163.24/162.98 [493]~E(x4931,x4932)+E(f611(x4933,x4931,x4934,x4935),f611(x4933,x4932,x4934,x4935))
% 163.24/162.98 [494]~E(x4941,x4942)+E(f611(x4943,x4944,x4941,x4945),f611(x4943,x4944,x4942,x4945))
% 163.24/162.98 [495]~E(x4951,x4952)+E(f611(x4953,x4954,x4955,x4951),f611(x4953,x4954,x4955,x4952))
% 163.24/162.98 [496]~E(x4961,x4962)+E(f664(x4961,x4963),f664(x4962,x4963))
% 163.24/162.98 [497]~E(x4971,x4972)+E(f664(x4973,x4971),f664(x4973,x4972))
% 163.24/162.98 [498]~E(x4981,x4982)+E(f159(x4981,x4983),f159(x4982,x4983))
% 163.24/162.98 [499]~E(x4991,x4992)+E(f159(x4993,x4991),f159(x4993,x4992))
% 163.24/162.98 [500]~E(x5001,x5002)+E(f300(x5001,x5003,x5004,x5005),f300(x5002,x5003,x5004,x5005))
% 163.24/162.98 [501]~E(x5011,x5012)+E(f300(x5013,x5011,x5014,x5015),f300(x5013,x5012,x5014,x5015))
% 163.24/162.98 [502]~E(x5021,x5022)+E(f300(x5023,x5024,x5021,x5025),f300(x5023,x5024,x5022,x5025))
% 163.24/162.98 [503]~E(x5031,x5032)+E(f300(x5033,x5034,x5035,x5031),f300(x5033,x5034,x5035,x5032))
% 163.24/162.98 [504]~E(x5041,x5042)+E(f121(x5041,x5043,x5044),f121(x5042,x5043,x5044))
% 163.24/162.98 [505]~E(x5051,x5052)+E(f121(x5053,x5051,x5054),f121(x5053,x5052,x5054))
% 163.24/162.98 [506]~E(x5061,x5062)+E(f121(x5063,x5064,x5061),f121(x5063,x5064,x5062))
% 163.24/162.98 [507]~E(x5071,x5072)+E(f256(x5071),f256(x5072))
% 163.24/162.98 [508]~E(x5081,x5082)+E(f73(x5081,x5083),f73(x5082,x5083))
% 163.24/162.98 [509]~E(x5091,x5092)+E(f73(x5093,x5091),f73(x5093,x5092))
% 163.24/162.98 [510]~E(x5101,x5102)+E(f474(x5101,x5103,x5104),f474(x5102,x5103,x5104))
% 163.24/162.98 [511]~E(x5111,x5112)+E(f474(x5113,x5111,x5114),f474(x5113,x5112,x5114))
% 163.24/162.98 [512]~E(x5121,x5122)+E(f474(x5123,x5124,x5121),f474(x5123,x5124,x5122))
% 163.24/162.98 [513]~E(x5131,x5132)+E(f477(x5131,x5133,x5134),f477(x5132,x5133,x5134))
% 163.24/162.98 [514]~E(x5141,x5142)+E(f477(x5143,x5141,x5144),f477(x5143,x5142,x5144))
% 163.24/162.98 [515]~E(x5151,x5152)+E(f477(x5153,x5154,x5151),f477(x5153,x5154,x5152))
% 163.24/162.98 [516]~E(x5161,x5162)+E(f188(x5161,x5163,x5164,x5165),f188(x5162,x5163,x5164,x5165))
% 163.24/162.98 [517]~E(x5171,x5172)+E(f188(x5173,x5171,x5174,x5175),f188(x5173,x5172,x5174,x5175))
% 163.24/162.98 [518]~E(x5181,x5182)+E(f188(x5183,x5184,x5181,x5185),f188(x5183,x5184,x5182,x5185))
% 163.24/162.98 [519]~E(x5191,x5192)+E(f188(x5193,x5194,x5195,x5191),f188(x5193,x5194,x5195,x5192))
% 163.24/162.98 [520]~E(x5201,x5202)+E(f257(x5201),f257(x5202))
% 163.24/162.98 [521]~E(x5211,x5212)+E(f510(x5211,x5213,x5214),f510(x5212,x5213,x5214))
% 163.24/162.98 [522]~E(x5221,x5222)+E(f510(x5223,x5221,x5224),f510(x5223,x5222,x5224))
% 163.24/162.98 [523]~E(x5231,x5232)+E(f510(x5233,x5234,x5231),f510(x5233,x5234,x5232))
% 163.24/162.98 [524]~E(x5241,x5242)+E(f196(x5241,x5243,x5244,x5245),f196(x5242,x5243,x5244,x5245))
% 163.24/162.98 [525]~E(x5251,x5252)+E(f196(x5253,x5251,x5254,x5255),f196(x5253,x5252,x5254,x5255))
% 163.24/162.98 [526]~E(x5261,x5262)+E(f196(x5263,x5264,x5261,x5265),f196(x5263,x5264,x5262,x5265))
% 163.24/162.98 [527]~E(x5271,x5272)+E(f196(x5273,x5274,x5275,x5271),f196(x5273,x5274,x5275,x5272))
% 163.24/162.98 [528]~E(x5281,x5282)+E(f446(x5281,x5283),f446(x5282,x5283))
% 163.24/162.98 [529]~E(x5291,x5292)+E(f446(x5293,x5291),f446(x5293,x5292))
% 163.24/162.98 [530]~E(x5301,x5302)+E(f612(x5301,x5303,x5304,x5305),f612(x5302,x5303,x5304,x5305))
% 163.24/162.98 [531]~E(x5311,x5312)+E(f612(x5313,x5311,x5314,x5315),f612(x5313,x5312,x5314,x5315))
% 163.24/162.98 [532]~E(x5321,x5322)+E(f612(x5323,x5324,x5321,x5325),f612(x5323,x5324,x5322,x5325))
% 163.24/162.98 [533]~E(x5331,x5332)+E(f612(x5333,x5334,x5335,x5331),f612(x5333,x5334,x5335,x5332))
% 163.24/162.98 [534]~E(x5341,x5342)+E(f731(x5341,x5343,x5344,x5345,x5346),f731(x5342,x5343,x5344,x5345,x5346))
% 163.24/162.98 [535]~E(x5351,x5352)+E(f731(x5353,x5351,x5354,x5355,x5356),f731(x5353,x5352,x5354,x5355,x5356))
% 163.24/162.98 [536]~E(x5361,x5362)+E(f731(x5363,x5364,x5361,x5365,x5366),f731(x5363,x5364,x5362,x5365,x5366))
% 163.24/162.98 [537]~E(x5371,x5372)+E(f731(x5373,x5374,x5375,x5371,x5376),f731(x5373,x5374,x5375,x5372,x5376))
% 163.24/162.98 [538]~E(x5381,x5382)+E(f731(x5383,x5384,x5385,x5386,x5381),f731(x5383,x5384,x5385,x5386,x5382))
% 163.24/162.98 [539]~E(x5391,x5392)+E(f299(x5391,x5393,x5394),f299(x5392,x5393,x5394))
% 163.24/162.98 [540]~E(x5401,x5402)+E(f299(x5403,x5401,x5404),f299(x5403,x5402,x5404))
% 163.24/162.98 [541]~E(x5411,x5412)+E(f299(x5413,x5414,x5411),f299(x5413,x5414,x5412))
% 163.24/162.98 [542]~E(x5421,x5422)+E(f530(x5421,x5423,x5424,x5425,x5426),f530(x5422,x5423,x5424,x5425,x5426))
% 163.24/162.98 [543]~E(x5431,x5432)+E(f530(x5433,x5431,x5434,x5435,x5436),f530(x5433,x5432,x5434,x5435,x5436))
% 163.24/162.98 [544]~E(x5441,x5442)+E(f530(x5443,x5444,x5441,x5445,x5446),f530(x5443,x5444,x5442,x5445,x5446))
% 163.24/162.98 [545]~E(x5451,x5452)+E(f530(x5453,x5454,x5455,x5451,x5456),f530(x5453,x5454,x5455,x5452,x5456))
% 163.24/162.98 [546]~E(x5461,x5462)+E(f530(x5463,x5464,x5465,x5466,x5461),f530(x5463,x5464,x5465,x5466,x5462))
% 163.24/162.98 [547]~E(x5471,x5472)+E(f162(x5471,x5473),f162(x5472,x5473))
% 163.24/162.98 [548]~E(x5481,x5482)+E(f162(x5483,x5481),f162(x5483,x5482))
% 163.24/162.98 [549]~E(x5491,x5492)+E(f804(x5491,x5493,x5494,x5495,x5496),f804(x5492,x5493,x5494,x5495,x5496))
% 163.24/162.98 [550]~E(x5501,x5502)+E(f804(x5503,x5501,x5504,x5505,x5506),f804(x5503,x5502,x5504,x5505,x5506))
% 163.24/162.98 [551]~E(x5511,x5512)+E(f804(x5513,x5514,x5511,x5515,x5516),f804(x5513,x5514,x5512,x5515,x5516))
% 163.24/162.98 [552]~E(x5521,x5522)+E(f804(x5523,x5524,x5525,x5521,x5526),f804(x5523,x5524,x5525,x5522,x5526))
% 163.24/162.98 [553]~E(x5531,x5532)+E(f804(x5533,x5534,x5535,x5536,x5531),f804(x5533,x5534,x5535,x5536,x5532))
% 163.24/162.98 [554]~E(x5541,x5542)+E(f187(x5541,x5543,x5544,x5545,x5546),f187(x5542,x5543,x5544,x5545,x5546))
% 163.24/162.98 [555]~E(x5551,x5552)+E(f187(x5553,x5551,x5554,x5555,x5556),f187(x5553,x5552,x5554,x5555,x5556))
% 163.24/162.98 [556]~E(x5561,x5562)+E(f187(x5563,x5564,x5561,x5565,x5566),f187(x5563,x5564,x5562,x5565,x5566))
% 163.24/162.98 [557]~E(x5571,x5572)+E(f187(x5573,x5574,x5575,x5571,x5576),f187(x5573,x5574,x5575,x5572,x5576))
% 163.24/162.98 [558]~E(x5581,x5582)+E(f187(x5583,x5584,x5585,x5586,x5581),f187(x5583,x5584,x5585,x5586,x5582))
% 163.24/162.98 [559]~E(x5591,x5592)+E(f244(x5591,x5593,x5594,x5595),f244(x5592,x5593,x5594,x5595))
% 163.24/162.98 [560]~E(x5601,x5602)+E(f244(x5603,x5601,x5604,x5605),f244(x5603,x5602,x5604,x5605))
% 163.24/162.98 [561]~E(x5611,x5612)+E(f244(x5613,x5614,x5611,x5615),f244(x5613,x5614,x5612,x5615))
% 163.24/162.98 [562]~E(x5621,x5622)+E(f244(x5623,x5624,x5625,x5621),f244(x5623,x5624,x5625,x5622))
% 163.24/162.98 [563]~E(x5631,x5632)+E(f821(x5631,x5633,x5634),f821(x5632,x5633,x5634))
% 163.24/162.98 [564]~E(x5641,x5642)+E(f821(x5643,x5641,x5644),f821(x5643,x5642,x5644))
% 163.24/162.98 [565]~E(x5651,x5652)+E(f821(x5653,x5654,x5651),f821(x5653,x5654,x5652))
% 163.24/162.98 [566]~E(x5661,x5662)+E(f677(x5661,x5663,x5664,x5665,x5666),f677(x5662,x5663,x5664,x5665,x5666))
% 163.24/162.98 [567]~E(x5671,x5672)+E(f677(x5673,x5671,x5674,x5675,x5676),f677(x5673,x5672,x5674,x5675,x5676))
% 163.24/162.98 [568]~E(x5681,x5682)+E(f677(x5683,x5684,x5681,x5685,x5686),f677(x5683,x5684,x5682,x5685,x5686))
% 163.24/162.98 [569]~E(x5691,x5692)+E(f677(x5693,x5694,x5695,x5691,x5696),f677(x5693,x5694,x5695,x5692,x5696))
% 163.24/162.98 [570]~E(x5701,x5702)+E(f677(x5703,x5704,x5705,x5706,x5701),f677(x5703,x5704,x5705,x5706,x5702))
% 163.24/162.98 [571]~E(x5711,x5712)+E(f820(x5711,x5713,x5714),f820(x5712,x5713,x5714))
% 163.24/162.98 [572]~E(x5721,x5722)+E(f820(x5723,x5721,x5724),f820(x5723,x5722,x5724))
% 163.24/162.98 [573]~E(x5731,x5732)+E(f820(x5733,x5734,x5731),f820(x5733,x5734,x5732))
% 163.24/162.98 [574]~E(x5741,x5742)+E(f241(x5741,x5743),f241(x5742,x5743))
% 163.24/162.98 [575]~E(x5751,x5752)+E(f241(x5753,x5751),f241(x5753,x5752))
% 163.24/162.98 [576]~E(x5761,x5762)+E(f114(x5761),f114(x5762))
% 163.24/162.98 [577]~E(x5771,x5772)+E(f627(x5771,x5773,x5774),f627(x5772,x5773,x5774))
% 163.24/162.98 [578]~E(x5781,x5782)+E(f627(x5783,x5781,x5784),f627(x5783,x5782,x5784))
% 163.24/162.98 [579]~E(x5791,x5792)+E(f627(x5793,x5794,x5791),f627(x5793,x5794,x5792))
% 163.24/162.98 [580]~E(x5801,x5802)+E(f639(x5801,x5803,x5804),f639(x5802,x5803,x5804))
% 163.24/162.98 [581]~E(x5811,x5812)+E(f639(x5813,x5811,x5814),f639(x5813,x5812,x5814))
% 163.24/162.98 [582]~E(x5821,x5822)+E(f639(x5823,x5824,x5821),f639(x5823,x5824,x5822))
% 163.24/162.98 [583]~E(x5831,x5832)+E(f129(x5831,x5833,x5834),f129(x5832,x5833,x5834))
% 163.24/162.98 [584]~E(x5841,x5842)+E(f129(x5843,x5841,x5844),f129(x5843,x5842,x5844))
% 163.24/162.98 [585]~E(x5851,x5852)+E(f129(x5853,x5854,x5851),f129(x5853,x5854,x5852))
% 163.24/162.98 [586]~E(x5861,x5862)+E(f57(x5861),f57(x5862))
% 163.24/162.98 [587]~E(x5871,x5872)+E(f759(x5871,x5873,x5874,x5875,x5876),f759(x5872,x5873,x5874,x5875,x5876))
% 163.24/162.98 [588]~E(x5881,x5882)+E(f759(x5883,x5881,x5884,x5885,x5886),f759(x5883,x5882,x5884,x5885,x5886))
% 163.24/162.98 [589]~E(x5891,x5892)+E(f759(x5893,x5894,x5891,x5895,x5896),f759(x5893,x5894,x5892,x5895,x5896))
% 163.24/162.98 [590]~E(x5901,x5902)+E(f759(x5903,x5904,x5905,x5901,x5906),f759(x5903,x5904,x5905,x5902,x5906))
% 163.24/162.98 [591]~E(x5911,x5912)+E(f759(x5913,x5914,x5915,x5916,x5911),f759(x5913,x5914,x5915,x5916,x5912))
% 163.24/162.98 [592]~E(x5921,x5922)+E(f703(x5921,x5923,x5924),f703(x5922,x5923,x5924))
% 163.24/162.98 [593]~E(x5931,x5932)+E(f703(x5933,x5931,x5934),f703(x5933,x5932,x5934))
% 163.24/162.98 [594]~E(x5941,x5942)+E(f703(x5943,x5944,x5941),f703(x5943,x5944,x5942))
% 163.24/162.98 [595]~E(x5951,x5952)+E(f49(x5951,x5953),f49(x5952,x5953))
% 163.24/162.98 [596]~E(x5961,x5962)+E(f49(x5963,x5961),f49(x5963,x5962))
% 163.24/162.98 [597]~E(x5971,x5972)+E(f511(x5971,x5973,x5974),f511(x5972,x5973,x5974))
% 163.24/162.98 [598]~E(x5981,x5982)+E(f511(x5983,x5981,x5984),f511(x5983,x5982,x5984))
% 163.24/162.98 [599]~E(x5991,x5992)+E(f511(x5993,x5994,x5991),f511(x5993,x5994,x5992))
% 163.24/162.98 [600]~E(x6001,x6002)+E(f265(x6001,x6003,x6004),f265(x6002,x6003,x6004))
% 163.24/162.98 [601]~E(x6011,x6012)+E(f265(x6013,x6011,x6014),f265(x6013,x6012,x6014))
% 163.24/162.98 [602]~E(x6021,x6022)+E(f265(x6023,x6024,x6021),f265(x6023,x6024,x6022))
% 163.24/162.98 [603]~E(x6031,x6032)+E(f133(x6031,x6033,x6034,x6035),f133(x6032,x6033,x6034,x6035))
% 163.24/162.98 [604]~E(x6041,x6042)+E(f133(x6043,x6041,x6044,x6045),f133(x6043,x6042,x6044,x6045))
% 163.24/162.98 [605]~E(x6051,x6052)+E(f133(x6053,x6054,x6051,x6055),f133(x6053,x6054,x6052,x6055))
% 163.24/162.98 [606]~E(x6061,x6062)+E(f133(x6063,x6064,x6065,x6061),f133(x6063,x6064,x6065,x6062))
% 163.24/162.98 [607]~E(x6071,x6072)+E(f764(x6071,x6073,x6074),f764(x6072,x6073,x6074))
% 163.24/162.98 [608]~E(x6081,x6082)+E(f764(x6083,x6081,x6084),f764(x6083,x6082,x6084))
% 163.24/162.98 [609]~E(x6091,x6092)+E(f764(x6093,x6094,x6091),f764(x6093,x6094,x6092))
% 163.24/162.98 [610]~E(x6101,x6102)+E(f161(x6101,x6103),f161(x6102,x6103))
% 163.24/162.98 [611]~E(x6111,x6112)+E(f161(x6113,x6111),f161(x6113,x6112))
% 163.24/162.98 [612]~E(x6121,x6122)+E(f146(x6121,x6123),f146(x6122,x6123))
% 163.24/162.98 [613]~E(x6131,x6132)+E(f146(x6133,x6131),f146(x6133,x6132))
% 163.24/162.98 [614]~E(x6141,x6142)+E(f649(x6141,x6143,x6144),f649(x6142,x6143,x6144))
% 163.24/162.98 [615]~E(x6151,x6152)+E(f649(x6153,x6151,x6154),f649(x6153,x6152,x6154))
% 163.24/162.98 [616]~E(x6161,x6162)+E(f649(x6163,x6164,x6161),f649(x6163,x6164,x6162))
% 163.24/162.98 [617]~E(x6171,x6172)+E(f803(x6171,x6173),f803(x6172,x6173))
% 163.24/162.98 [618]~E(x6181,x6182)+E(f803(x6183,x6181),f803(x6183,x6182))
% 163.24/162.98 [619]~E(x6191,x6192)+E(f287(x6191,x6193,x6194),f287(x6192,x6193,x6194))
% 163.24/162.98 [620]~E(x6201,x6202)+E(f287(x6203,x6201,x6204),f287(x6203,x6202,x6204))
% 163.24/162.98 [621]~E(x6211,x6212)+E(f287(x6213,x6214,x6211),f287(x6213,x6214,x6212))
% 163.24/162.98 [622]~E(x6221,x6222)+E(f93(x6221),f93(x6222))
% 163.24/162.98 [623]~E(x6231,x6232)+E(f531(x6231,x6233,x6234,x6235,x6236),f531(x6232,x6233,x6234,x6235,x6236))
% 163.24/162.98 [624]~E(x6241,x6242)+E(f531(x6243,x6241,x6244,x6245,x6246),f531(x6243,x6242,x6244,x6245,x6246))
% 163.24/162.98 [625]~E(x6251,x6252)+E(f531(x6253,x6254,x6251,x6255,x6256),f531(x6253,x6254,x6252,x6255,x6256))
% 163.24/162.98 [626]~E(x6261,x6262)+E(f531(x6263,x6264,x6265,x6261,x6266),f531(x6263,x6264,x6265,x6262,x6266))
% 163.24/162.98 [627]~E(x6271,x6272)+E(f531(x6273,x6274,x6275,x6276,x6271),f531(x6273,x6274,x6275,x6276,x6272))
% 163.24/162.98 [628]~E(x6281,x6282)+E(f868(x6281,x6283,x6284),f868(x6282,x6283,x6284))
% 163.24/162.98 [629]~E(x6291,x6292)+E(f868(x6293,x6291,x6294),f868(x6293,x6292,x6294))
% 163.24/162.98 [630]~E(x6301,x6302)+E(f868(x6303,x6304,x6301),f868(x6303,x6304,x6302))
% 163.24/162.98 [631]~E(x6311,x6312)+E(f549(x6311,x6313,x6314,x6315,x6316),f549(x6312,x6313,x6314,x6315,x6316))
% 163.24/162.98 [632]~E(x6321,x6322)+E(f549(x6323,x6321,x6324,x6325,x6326),f549(x6323,x6322,x6324,x6325,x6326))
% 163.24/162.98 [633]~E(x6331,x6332)+E(f549(x6333,x6334,x6331,x6335,x6336),f549(x6333,x6334,x6332,x6335,x6336))
% 163.24/162.98 [634]~E(x6341,x6342)+E(f549(x6343,x6344,x6345,x6341,x6346),f549(x6343,x6344,x6345,x6342,x6346))
% 163.24/162.98 [635]~E(x6351,x6352)+E(f549(x6353,x6354,x6355,x6356,x6351),f549(x6353,x6354,x6355,x6356,x6352))
% 163.24/162.98 [636]~E(x6361,x6362)+E(f523(x6361,x6363,x6364,x6365),f523(x6362,x6363,x6364,x6365))
% 163.24/162.98 [637]~E(x6371,x6372)+E(f523(x6373,x6371,x6374,x6375),f523(x6373,x6372,x6374,x6375))
% 163.24/162.98 [638]~E(x6381,x6382)+E(f523(x6383,x6384,x6381,x6385),f523(x6383,x6384,x6382,x6385))
% 163.24/162.98 [639]~E(x6391,x6392)+E(f523(x6393,x6394,x6395,x6391),f523(x6393,x6394,x6395,x6392))
% 163.24/162.98 [640]~E(x6401,x6402)+E(f572(x6401,x6403,x6404,x6405,x6406,x6407),f572(x6402,x6403,x6404,x6405,x6406,x6407))
% 163.24/162.98 [641]~E(x6411,x6412)+E(f572(x6413,x6411,x6414,x6415,x6416,x6417),f572(x6413,x6412,x6414,x6415,x6416,x6417))
% 163.24/162.98 [642]~E(x6421,x6422)+E(f572(x6423,x6424,x6421,x6425,x6426,x6427),f572(x6423,x6424,x6422,x6425,x6426,x6427))
% 163.24/162.98 [643]~E(x6431,x6432)+E(f572(x6433,x6434,x6435,x6431,x6436,x6437),f572(x6433,x6434,x6435,x6432,x6436,x6437))
% 163.24/162.98 [644]~E(x6441,x6442)+E(f572(x6443,x6444,x6445,x6446,x6441,x6447),f572(x6443,x6444,x6445,x6446,x6442,x6447))
% 163.24/162.98 [645]~E(x6451,x6452)+E(f572(x6453,x6454,x6455,x6456,x6457,x6451),f572(x6453,x6454,x6455,x6456,x6457,x6452))
% 163.24/162.98 [646]~E(x6461,x6462)+E(f562(x6461,x6463,x6464,x6465,x6466,x6467,x6468),f562(x6462,x6463,x6464,x6465,x6466,x6467,x6468))
% 163.24/162.98 [647]~E(x6471,x6472)+E(f562(x6473,x6471,x6474,x6475,x6476,x6477,x6478),f562(x6473,x6472,x6474,x6475,x6476,x6477,x6478))
% 163.24/162.98 [648]~E(x6481,x6482)+E(f562(x6483,x6484,x6481,x6485,x6486,x6487,x6488),f562(x6483,x6484,x6482,x6485,x6486,x6487,x6488))
% 163.24/162.98 [649]~E(x6491,x6492)+E(f562(x6493,x6494,x6495,x6491,x6496,x6497,x6498),f562(x6493,x6494,x6495,x6492,x6496,x6497,x6498))
% 163.24/162.98 [650]~E(x6501,x6502)+E(f562(x6503,x6504,x6505,x6506,x6501,x6507,x6508),f562(x6503,x6504,x6505,x6506,x6502,x6507,x6508))
% 163.24/162.98 [651]~E(x6511,x6512)+E(f562(x6513,x6514,x6515,x6516,x6517,x6511,x6518),f562(x6513,x6514,x6515,x6516,x6517,x6512,x6518))
% 163.24/162.98 [652]~E(x6521,x6522)+E(f562(x6523,x6524,x6525,x6526,x6527,x6528,x6521),f562(x6523,x6524,x6525,x6526,x6527,x6528,x6522))
% 163.24/162.98 [653]~E(x6531,x6532)+E(f301(x6531,x6533,x6534,x6535,x6536),f301(x6532,x6533,x6534,x6535,x6536))
% 163.24/162.98 [654]~E(x6541,x6542)+E(f301(x6543,x6541,x6544,x6545,x6546),f301(x6543,x6542,x6544,x6545,x6546))
% 163.24/162.98 [655]~E(x6551,x6552)+E(f301(x6553,x6554,x6551,x6555,x6556),f301(x6553,x6554,x6552,x6555,x6556))
% 163.24/162.98 [656]~E(x6561,x6562)+E(f301(x6563,x6564,x6565,x6561,x6566),f301(x6563,x6564,x6565,x6562,x6566))
% 163.24/162.98 [657]~E(x6571,x6572)+E(f301(x6573,x6574,x6575,x6576,x6571),f301(x6573,x6574,x6575,x6576,x6572))
% 163.24/162.98 [658]~E(x6581,x6582)+E(f184(x6581,x6583,x6584),f184(x6582,x6583,x6584))
% 163.24/162.98 [659]~E(x6591,x6592)+E(f184(x6593,x6591,x6594),f184(x6593,x6592,x6594))
% 163.24/162.98 [660]~E(x6601,x6602)+E(f184(x6603,x6604,x6601),f184(x6603,x6604,x6602))
% 163.24/162.98 [661]~E(x6611,x6612)+E(f286(x6611),f286(x6612))
% 163.24/162.98 [662]~E(x6621,x6622)+E(f29(x6621,x6623,x6624),f29(x6622,x6623,x6624))
% 163.24/162.98 [663]~E(x6631,x6632)+E(f29(x6633,x6631,x6634),f29(x6633,x6632,x6634))
% 163.24/162.98 [664]~E(x6641,x6642)+E(f29(x6643,x6644,x6641),f29(x6643,x6644,x6642))
% 163.24/162.98 [665]~E(x6651,x6652)+E(f12(x6651,x6653),f12(x6652,x6653))
% 163.24/162.98 [666]~E(x6661,x6662)+E(f12(x6663,x6661),f12(x6663,x6662))
% 163.24/162.98 [667]~E(x6671,x6672)+E(f814(x6671,x6673,x6674),f814(x6672,x6673,x6674))
% 163.24/162.98 [668]~E(x6681,x6682)+E(f814(x6683,x6681,x6684),f814(x6683,x6682,x6684))
% 163.24/162.98 [669]~E(x6691,x6692)+E(f814(x6693,x6694,x6691),f814(x6693,x6694,x6692))
% 163.24/162.98 [670]~E(x6701,x6702)+E(f326(x6701,x6703,x6704,x6705),f326(x6702,x6703,x6704,x6705))
% 163.24/162.98 [671]~E(x6711,x6712)+E(f326(x6713,x6711,x6714,x6715),f326(x6713,x6712,x6714,x6715))
% 163.24/162.98 [672]~E(x6721,x6722)+E(f326(x6723,x6724,x6721,x6725),f326(x6723,x6724,x6722,x6725))
% 163.24/162.98 [673]~E(x6731,x6732)+E(f326(x6733,x6734,x6735,x6731),f326(x6733,x6734,x6735,x6732))
% 163.24/162.98 [674]~E(x6741,x6742)+E(f606(x6741,x6743,x6744,x6745),f606(x6742,x6743,x6744,x6745))
% 163.24/162.98 [675]~E(x6751,x6752)+E(f606(x6753,x6751,x6754,x6755),f606(x6753,x6752,x6754,x6755))
% 163.24/162.98 [676]~E(x6761,x6762)+E(f606(x6763,x6764,x6761,x6765),f606(x6763,x6764,x6762,x6765))
% 163.24/162.98 [677]~E(x6771,x6772)+E(f606(x6773,x6774,x6775,x6771),f606(x6773,x6774,x6775,x6772))
% 163.24/162.98 [678]~E(x6781,x6782)+E(f847(x6781,x6783,x6784,x6785),f847(x6782,x6783,x6784,x6785))
% 163.24/162.98 [679]~E(x6791,x6792)+E(f847(x6793,x6791,x6794,x6795),f847(x6793,x6792,x6794,x6795))
% 163.24/162.98 [680]~E(x6801,x6802)+E(f847(x6803,x6804,x6801,x6805),f847(x6803,x6804,x6802,x6805))
% 163.24/162.98 [681]~E(x6811,x6812)+E(f847(x6813,x6814,x6815,x6811),f847(x6813,x6814,x6815,x6812))
% 163.24/162.98 [682]~E(x6821,x6822)+E(f771(x6821,x6823,x6824),f771(x6822,x6823,x6824))
% 163.24/162.98 [683]~E(x6831,x6832)+E(f771(x6833,x6831,x6834),f771(x6833,x6832,x6834))
% 163.24/162.98 [684]~E(x6841,x6842)+E(f771(x6843,x6844,x6841),f771(x6843,x6844,x6842))
% 163.24/162.98 [685]~E(x6851,x6852)+E(f297(x6851,x6853,x6854,x6855),f297(x6852,x6853,x6854,x6855))
% 163.24/162.98 [686]~E(x6861,x6862)+E(f297(x6863,x6861,x6864,x6865),f297(x6863,x6862,x6864,x6865))
% 163.24/162.98 [687]~E(x6871,x6872)+E(f297(x6873,x6874,x6871,x6875),f297(x6873,x6874,x6872,x6875))
% 163.24/162.98 [688]~E(x6881,x6882)+E(f297(x6883,x6884,x6885,x6881),f297(x6883,x6884,x6885,x6882))
% 163.24/162.98 [689]~E(x6891,x6892)+E(f496(x6891,x6893,x6894,x6895,x6896,x6897),f496(x6892,x6893,x6894,x6895,x6896,x6897))
% 163.24/162.98 [690]~E(x6901,x6902)+E(f496(x6903,x6901,x6904,x6905,x6906,x6907),f496(x6903,x6902,x6904,x6905,x6906,x6907))
% 163.24/162.98 [691]~E(x6911,x6912)+E(f496(x6913,x6914,x6911,x6915,x6916,x6917),f496(x6913,x6914,x6912,x6915,x6916,x6917))
% 163.24/162.98 [692]~E(x6921,x6922)+E(f496(x6923,x6924,x6925,x6921,x6926,x6927),f496(x6923,x6924,x6925,x6922,x6926,x6927))
% 163.24/162.98 [693]~E(x6931,x6932)+E(f496(x6933,x6934,x6935,x6936,x6931,x6937),f496(x6933,x6934,x6935,x6936,x6932,x6937))
% 163.24/162.98 [694]~E(x6941,x6942)+E(f496(x6943,x6944,x6945,x6946,x6947,x6941),f496(x6943,x6944,x6945,x6946,x6947,x6942))
% 163.24/162.98 [695]~E(x6951,x6952)+E(f577(x6951,x6953,x6954,x6955,x6956),f577(x6952,x6953,x6954,x6955,x6956))
% 163.24/162.98 [696]~E(x6961,x6962)+E(f577(x6963,x6961,x6964,x6965,x6966),f577(x6963,x6962,x6964,x6965,x6966))
% 163.24/162.98 [697]~E(x6971,x6972)+E(f577(x6973,x6974,x6971,x6975,x6976),f577(x6973,x6974,x6972,x6975,x6976))
% 163.24/162.98 [698]~E(x6981,x6982)+E(f577(x6983,x6984,x6985,x6981,x6986),f577(x6983,x6984,x6985,x6982,x6986))
% 163.24/162.98 [699]~E(x6991,x6992)+E(f577(x6993,x6994,x6995,x6996,x6991),f577(x6993,x6994,x6995,x6996,x6992))
% 163.24/162.98 [700]~E(x7001,x7002)+E(f409(x7001,x7003,x7004),f409(x7002,x7003,x7004))
% 163.24/162.98 [701]~E(x7011,x7012)+E(f409(x7013,x7011,x7014),f409(x7013,x7012,x7014))
% 163.24/162.98 [702]~E(x7021,x7022)+E(f409(x7023,x7024,x7021),f409(x7023,x7024,x7022))
% 163.24/162.98 [703]~E(x7031,x7032)+E(f222(x7031),f222(x7032))
% 163.24/162.98 [704]~E(x7041,x7042)+E(f45(x7041),f45(x7042))
% 163.24/162.98 [705]~E(x7051,x7052)+E(f83(x7051,x7053),f83(x7052,x7053))
% 163.24/162.98 [706]~E(x7061,x7062)+E(f83(x7063,x7061),f83(x7063,x7062))
% 163.24/162.98 [707]~E(x7071,x7072)+E(f410(x7071,x7073,x7074),f410(x7072,x7073,x7074))
% 163.24/162.98 [708]~E(x7081,x7082)+E(f410(x7083,x7081,x7084),f410(x7083,x7082,x7084))
% 163.24/162.98 [709]~E(x7091,x7092)+E(f410(x7093,x7094,x7091),f410(x7093,x7094,x7092))
% 163.24/162.98 [710]~E(x7101,x7102)+E(f310(x7101),f310(x7102))
% 163.24/162.98 [711]~E(x7111,x7112)+E(f420(x7111,x7113,x7114,x7115),f420(x7112,x7113,x7114,x7115))
% 163.24/162.98 [712]~E(x7121,x7122)+E(f420(x7123,x7121,x7124,x7125),f420(x7123,x7122,x7124,x7125))
% 163.24/162.98 [713]~E(x7131,x7132)+E(f420(x7133,x7134,x7131,x7135),f420(x7133,x7134,x7132,x7135))
% 163.24/162.98 [714]~E(x7141,x7142)+E(f420(x7143,x7144,x7145,x7141),f420(x7143,x7144,x7145,x7142))
% 163.24/162.98 [715]~E(x7151,x7152)+E(f726(x7151,x7153,x7154,x7155),f726(x7152,x7153,x7154,x7155))
% 163.24/162.98 [716]~E(x7161,x7162)+E(f726(x7163,x7161,x7164,x7165),f726(x7163,x7162,x7164,x7165))
% 163.24/162.98 [717]~E(x7171,x7172)+E(f726(x7173,x7174,x7171,x7175),f726(x7173,x7174,x7172,x7175))
% 163.24/162.98 [718]~E(x7181,x7182)+E(f726(x7183,x7184,x7185,x7181),f726(x7183,x7184,x7185,x7182))
% 163.24/162.98 [719]~E(x7191,x7192)+E(f266(x7191,x7193,x7194),f266(x7192,x7193,x7194))
% 163.24/162.98 [720]~E(x7201,x7202)+E(f266(x7203,x7201,x7204),f266(x7203,x7202,x7204))
% 163.24/162.98 [721]~E(x7211,x7212)+E(f266(x7213,x7214,x7211),f266(x7213,x7214,x7212))
% 163.24/162.98 [722]~E(x7221,x7222)+E(f688(x7221,x7223,x7224,x7225,x7226),f688(x7222,x7223,x7224,x7225,x7226))
% 163.24/162.98 [723]~E(x7231,x7232)+E(f688(x7233,x7231,x7234,x7235,x7236),f688(x7233,x7232,x7234,x7235,x7236))
% 163.24/162.98 [724]~E(x7241,x7242)+E(f688(x7243,x7244,x7241,x7245,x7246),f688(x7243,x7244,x7242,x7245,x7246))
% 163.24/162.98 [725]~E(x7251,x7252)+E(f688(x7253,x7254,x7255,x7251,x7256),f688(x7253,x7254,x7255,x7252,x7256))
% 163.24/162.98 [726]~E(x7261,x7262)+E(f688(x7263,x7264,x7265,x7266,x7261),f688(x7263,x7264,x7265,x7266,x7262))
% 163.24/162.98 [727]~E(x7271,x7272)+E(f561(x7271,x7273,x7274,x7275,x7276,x7277,x7278),f561(x7272,x7273,x7274,x7275,x7276,x7277,x7278))
% 163.24/162.98 [728]~E(x7281,x7282)+E(f561(x7283,x7281,x7284,x7285,x7286,x7287,x7288),f561(x7283,x7282,x7284,x7285,x7286,x7287,x7288))
% 163.24/162.98 [729]~E(x7291,x7292)+E(f561(x7293,x7294,x7291,x7295,x7296,x7297,x7298),f561(x7293,x7294,x7292,x7295,x7296,x7297,x7298))
% 163.24/162.98 [730]~E(x7301,x7302)+E(f561(x7303,x7304,x7305,x7301,x7306,x7307,x7308),f561(x7303,x7304,x7305,x7302,x7306,x7307,x7308))
% 163.24/162.98 [731]~E(x7311,x7312)+E(f561(x7313,x7314,x7315,x7316,x7311,x7317,x7318),f561(x7313,x7314,x7315,x7316,x7312,x7317,x7318))
% 163.24/162.98 [732]~E(x7321,x7322)+E(f561(x7323,x7324,x7325,x7326,x7327,x7321,x7328),f561(x7323,x7324,x7325,x7326,x7327,x7322,x7328))
% 163.24/162.98 [733]~E(x7331,x7332)+E(f561(x7333,x7334,x7335,x7336,x7337,x7338,x7331),f561(x7333,x7334,x7335,x7336,x7337,x7338,x7332))
% 163.24/162.98 [734]~E(x7341,x7342)+E(f667(x7341,x7343),f667(x7342,x7343))
% 163.24/162.98 [735]~E(x7351,x7352)+E(f667(x7353,x7351),f667(x7353,x7352))
% 163.24/162.98 [736]~E(x7361,x7362)+E(f815(x7361,x7363,x7364),f815(x7362,x7363,x7364))
% 163.24/162.98 [737]~E(x7371,x7372)+E(f815(x7373,x7371,x7374),f815(x7373,x7372,x7374))
% 163.24/162.98 [738]~E(x7381,x7382)+E(f815(x7383,x7384,x7381),f815(x7383,x7384,x7382))
% 163.24/162.98 [739]~E(x7391,x7392)+E(f864(x7391,x7393,x7394,x7395),f864(x7392,x7393,x7394,x7395))
% 163.24/162.98 [740]~E(x7401,x7402)+E(f864(x7403,x7401,x7404,x7405),f864(x7403,x7402,x7404,x7405))
% 163.24/162.98 [741]~E(x7411,x7412)+E(f864(x7413,x7414,x7411,x7415),f864(x7413,x7414,x7412,x7415))
% 163.24/162.98 [742]~E(x7421,x7422)+E(f864(x7423,x7424,x7425,x7421),f864(x7423,x7424,x7425,x7422))
% 163.24/162.98 [743]~E(x7431,x7432)+E(f666(x7431,x7433,x7434),f666(x7432,x7433,x7434))
% 163.24/162.98 [744]~E(x7441,x7442)+E(f666(x7443,x7441,x7444),f666(x7443,x7442,x7444))
% 163.24/162.98 [745]~E(x7451,x7452)+E(f666(x7453,x7454,x7451),f666(x7453,x7454,x7452))
% 163.24/162.98 [746]~E(x7461,x7462)+E(f282(x7461,x7463,x7464,x7465),f282(x7462,x7463,x7464,x7465))
% 163.24/162.98 [747]~E(x7471,x7472)+E(f282(x7473,x7471,x7474,x7475),f282(x7473,x7472,x7474,x7475))
% 163.24/162.98 [748]~E(x7481,x7482)+E(f282(x7483,x7484,x7481,x7485),f282(x7483,x7484,x7482,x7485))
% 163.24/162.98 [749]~E(x7491,x7492)+E(f282(x7493,x7494,x7495,x7491),f282(x7493,x7494,x7495,x7492))
% 163.24/162.98 [750]~E(x7501,x7502)+E(f455(x7501,x7503,x7504),f455(x7502,x7503,x7504))
% 163.24/162.98 [751]~E(x7511,x7512)+E(f455(x7513,x7511,x7514),f455(x7513,x7512,x7514))
% 163.24/162.98 [752]~E(x7521,x7522)+E(f455(x7523,x7524,x7521),f455(x7523,x7524,x7522))
% 163.24/162.98 [753]~E(x7531,x7532)+E(f407(x7531,x7533,x7534),f407(x7532,x7533,x7534))
% 163.24/162.98 [754]~E(x7541,x7542)+E(f407(x7543,x7541,x7544),f407(x7543,x7542,x7544))
% 163.24/162.98 [755]~E(x7551,x7552)+E(f407(x7553,x7554,x7551),f407(x7553,x7554,x7552))
% 163.24/162.98 [756]~E(x7561,x7562)+E(f48(x7561,x7563),f48(x7562,x7563))
% 163.24/162.98 [757]~E(x7571,x7572)+E(f48(x7573,x7571),f48(x7573,x7572))
% 163.24/162.98 [758]~E(x7581,x7582)+E(f165(x7581,x7583,x7584,x7585),f165(x7582,x7583,x7584,x7585))
% 163.24/162.98 [759]~E(x7591,x7592)+E(f165(x7593,x7591,x7594,x7595),f165(x7593,x7592,x7594,x7595))
% 163.24/162.98 [760]~E(x7601,x7602)+E(f165(x7603,x7604,x7601,x7605),f165(x7603,x7604,x7602,x7605))
% 163.24/162.98 [761]~E(x7611,x7612)+E(f165(x7613,x7614,x7615,x7611),f165(x7613,x7614,x7615,x7612))
% 163.24/162.98 [762]~E(x7621,x7622)+E(f637(x7621,x7623,x7624,x7625),f637(x7622,x7623,x7624,x7625))
% 163.24/162.98 [763]~E(x7631,x7632)+E(f637(x7633,x7631,x7634,x7635),f637(x7633,x7632,x7634,x7635))
% 163.24/162.98 [764]~E(x7641,x7642)+E(f637(x7643,x7644,x7641,x7645),f637(x7643,x7644,x7642,x7645))
% 163.24/162.98 [765]~E(x7651,x7652)+E(f637(x7653,x7654,x7655,x7651),f637(x7653,x7654,x7655,x7652))
% 163.24/162.98 [766]~E(x7661,x7662)+E(f533(x7661,x7663,x7664,x7665,x7666,x7667,x7668,x7669),f533(x7662,x7663,x7664,x7665,x7666,x7667,x7668,x7669))
% 163.24/162.98 [767]~E(x7671,x7672)+E(f533(x7673,x7671,x7674,x7675,x7676,x7677,x7678,x7679),f533(x7673,x7672,x7674,x7675,x7676,x7677,x7678,x7679))
% 163.24/162.98 [768]~E(x7681,x7682)+E(f533(x7683,x7684,x7681,x7685,x7686,x7687,x7688,x7689),f533(x7683,x7684,x7682,x7685,x7686,x7687,x7688,x7689))
% 163.24/162.98 [769]~E(x7691,x7692)+E(f533(x7693,x7694,x7695,x7691,x7696,x7697,x7698,x7699),f533(x7693,x7694,x7695,x7692,x7696,x7697,x7698,x7699))
% 163.24/162.98 [770]~E(x7701,x7702)+E(f533(x7703,x7704,x7705,x7706,x7701,x7707,x7708,x7709),f533(x7703,x7704,x7705,x7706,x7702,x7707,x7708,x7709))
% 163.24/162.98 [771]~E(x7711,x7712)+E(f533(x7713,x7714,x7715,x7716,x7717,x7711,x7718,x7719),f533(x7713,x7714,x7715,x7716,x7717,x7712,x7718,x7719))
% 163.24/162.98 [772]~E(x7721,x7722)+E(f533(x7723,x7724,x7725,x7726,x7727,x7728,x7721,x7729),f533(x7723,x7724,x7725,x7726,x7727,x7728,x7722,x7729))
% 163.24/162.98 [773]~E(x7731,x7732)+E(f533(x7733,x7734,x7735,x7736,x7737,x7738,x7739,x7731),f533(x7733,x7734,x7735,x7736,x7737,x7738,x7739,x7732))
% 163.24/162.98 [774]~E(x7741,x7742)+E(f695(x7741,x7743),f695(x7742,x7743))
% 163.24/162.98 [775]~E(x7751,x7752)+E(f695(x7753,x7751),f695(x7753,x7752))
% 163.24/162.98 [776]~E(x7761,x7762)+E(f260(x7761,x7763),f260(x7762,x7763))
% 163.24/162.98 [777]~E(x7771,x7772)+E(f260(x7773,x7771),f260(x7773,x7772))
% 163.24/162.98 [778]~E(x7781,x7782)+E(f302(x7781),f302(x7782))
% 163.24/162.98 [779]~E(x7791,x7792)+E(f305(x7791),f305(x7792))
% 163.24/162.98 [780]~E(x7801,x7802)+E(f191(x7801,x7803,x7804,x7805),f191(x7802,x7803,x7804,x7805))
% 163.24/162.98 [781]~E(x7811,x7812)+E(f191(x7813,x7811,x7814,x7815),f191(x7813,x7812,x7814,x7815))
% 163.24/162.98 [782]~E(x7821,x7822)+E(f191(x7823,x7824,x7821,x7825),f191(x7823,x7824,x7822,x7825))
% 163.24/162.98 [783]~E(x7831,x7832)+E(f191(x7833,x7834,x7835,x7831),f191(x7833,x7834,x7835,x7832))
% 163.24/162.98 [784]~E(x7841,x7842)+E(f213(x7841,x7843,x7844),f213(x7842,x7843,x7844))
% 163.24/162.98 [785]~E(x7851,x7852)+E(f213(x7853,x7851,x7854),f213(x7853,x7852,x7854))
% 163.24/162.98 [786]~E(x7861,x7862)+E(f213(x7863,x7864,x7861),f213(x7863,x7864,x7862))
% 163.24/162.98 [787]~E(x7871,x7872)+E(f389(x7871,x7873,x7874,x7875),f389(x7872,x7873,x7874,x7875))
% 163.24/162.98 [788]~E(x7881,x7882)+E(f389(x7883,x7881,x7884,x7885),f389(x7883,x7882,x7884,x7885))
% 163.24/162.98 [789]~E(x7891,x7892)+E(f389(x7893,x7894,x7891,x7895),f389(x7893,x7894,x7892,x7895))
% 163.24/162.98 [790]~E(x7901,x7902)+E(f389(x7903,x7904,x7905,x7901),f389(x7903,x7904,x7905,x7902))
% 163.24/162.98 [791]~E(x7911,x7912)+E(f719(x7911,x7913,x7914,x7915),f719(x7912,x7913,x7914,x7915))
% 163.24/162.98 [792]~E(x7921,x7922)+E(f719(x7923,x7921,x7924,x7925),f719(x7923,x7922,x7924,x7925))
% 163.24/162.98 [793]~E(x7931,x7932)+E(f719(x7933,x7934,x7931,x7935),f719(x7933,x7934,x7932,x7935))
% 163.24/162.98 [794]~E(x7941,x7942)+E(f719(x7943,x7944,x7945,x7941),f719(x7943,x7944,x7945,x7942))
% 163.24/162.98 [795]~E(x7951,x7952)+E(f128(x7951),f128(x7952))
% 163.24/162.98 [796]~E(x7961,x7962)+E(f559(x7961,x7963,x7964,x7965,x7966),f559(x7962,x7963,x7964,x7965,x7966))
% 163.24/162.98 [797]~E(x7971,x7972)+E(f559(x7973,x7971,x7974,x7975,x7976),f559(x7973,x7972,x7974,x7975,x7976))
% 163.24/162.98 [798]~E(x7981,x7982)+E(f559(x7983,x7984,x7981,x7985,x7986),f559(x7983,x7984,x7982,x7985,x7986))
% 163.24/162.98 [799]~E(x7991,x7992)+E(f559(x7993,x7994,x7995,x7991,x7996),f559(x7993,x7994,x7995,x7992,x7996))
% 163.24/162.98 [800]~E(x8001,x8002)+E(f559(x8003,x8004,x8005,x8006,x8001),f559(x8003,x8004,x8005,x8006,x8002))
% 163.24/162.98 [801]~E(x8011,x8012)+E(f492(x8011,x8013,x8014,x8015),f492(x8012,x8013,x8014,x8015))
% 163.24/162.98 [802]~E(x8021,x8022)+E(f492(x8023,x8021,x8024,x8025),f492(x8023,x8022,x8024,x8025))
% 163.24/162.98 [803]~E(x8031,x8032)+E(f492(x8033,x8034,x8031,x8035),f492(x8033,x8034,x8032,x8035))
% 163.24/162.98 [804]~E(x8041,x8042)+E(f492(x8043,x8044,x8045,x8041),f492(x8043,x8044,x8045,x8042))
% 163.24/162.98 [805]~E(x8051,x8052)+E(f813(x8051,x8053,x8054),f813(x8052,x8053,x8054))
% 163.24/162.98 [806]~E(x8061,x8062)+E(f813(x8063,x8061,x8064),f813(x8063,x8062,x8064))
% 163.24/162.98 [807]~E(x8071,x8072)+E(f813(x8073,x8074,x8071),f813(x8073,x8074,x8072))
% 163.24/162.98 [808]~E(x8081,x8082)+E(f786(x8081,x8083,x8084),f786(x8082,x8083,x8084))
% 163.24/162.98 [809]~E(x8091,x8092)+E(f786(x8093,x8091,x8094),f786(x8093,x8092,x8094))
% 163.24/162.98 [810]~E(x8101,x8102)+E(f786(x8103,x8104,x8101),f786(x8103,x8104,x8102))
% 163.24/162.98 [811]~E(x8111,x8112)+E(f622(x8111,x8113,x8114),f622(x8112,x8113,x8114))
% 163.24/162.98 [812]~E(x8121,x8122)+E(f622(x8123,x8121,x8124),f622(x8123,x8122,x8124))
% 163.24/162.98 [813]~E(x8131,x8132)+E(f622(x8133,x8134,x8131),f622(x8133,x8134,x8132))
% 163.24/162.98 [814]~E(x8141,x8142)+E(f352(x8141,x8143,x8144),f352(x8142,x8143,x8144))
% 163.24/162.98 [815]~E(x8151,x8152)+E(f352(x8153,x8151,x8154),f352(x8153,x8152,x8154))
% 163.24/162.98 [816]~E(x8161,x8162)+E(f352(x8163,x8164,x8161),f352(x8163,x8164,x8162))
% 163.24/162.98 [817]~E(x8171,x8172)+E(f132(x8171,x8173,x8174,x8175,x8176),f132(x8172,x8173,x8174,x8175,x8176))
% 163.24/162.98 [818]~E(x8181,x8182)+E(f132(x8183,x8181,x8184,x8185,x8186),f132(x8183,x8182,x8184,x8185,x8186))
% 163.24/162.98 [819]~E(x8191,x8192)+E(f132(x8193,x8194,x8191,x8195,x8196),f132(x8193,x8194,x8192,x8195,x8196))
% 163.24/162.98 [820]~E(x8201,x8202)+E(f132(x8203,x8204,x8205,x8201,x8206),f132(x8203,x8204,x8205,x8202,x8206))
% 163.24/162.98 [821]~E(x8211,x8212)+E(f132(x8213,x8214,x8215,x8216,x8211),f132(x8213,x8214,x8215,x8216,x8212))
% 163.24/162.98 [822]~E(x8221,x8222)+E(f826(x8221,x8223,x8224,x8225,x8226),f826(x8222,x8223,x8224,x8225,x8226))
% 163.24/162.98 [823]~E(x8231,x8232)+E(f826(x8233,x8231,x8234,x8235,x8236),f826(x8233,x8232,x8234,x8235,x8236))
% 163.24/162.98 [824]~E(x8241,x8242)+E(f826(x8243,x8244,x8241,x8245,x8246),f826(x8243,x8244,x8242,x8245,x8246))
% 163.24/162.98 [825]~E(x8251,x8252)+E(f826(x8253,x8254,x8255,x8251,x8256),f826(x8253,x8254,x8255,x8252,x8256))
% 163.24/162.98 [826]~E(x8261,x8262)+E(f826(x8263,x8264,x8265,x8266,x8261),f826(x8263,x8264,x8265,x8266,x8262))
% 163.24/162.98 [827]~E(x8271,x8272)+E(f357(x8271,x8273,x8274,x8275,x8276),f357(x8272,x8273,x8274,x8275,x8276))
% 163.24/162.98 [828]~E(x8281,x8282)+E(f357(x8283,x8281,x8284,x8285,x8286),f357(x8283,x8282,x8284,x8285,x8286))
% 163.24/162.98 [829]~E(x8291,x8292)+E(f357(x8293,x8294,x8291,x8295,x8296),f357(x8293,x8294,x8292,x8295,x8296))
% 163.24/162.98 [830]~E(x8301,x8302)+E(f357(x8303,x8304,x8305,x8301,x8306),f357(x8303,x8304,x8305,x8302,x8306))
% 163.24/162.98 [831]~E(x8311,x8312)+E(f357(x8313,x8314,x8315,x8316,x8311),f357(x8313,x8314,x8315,x8316,x8312))
% 163.24/162.98 [832]~E(x8321,x8322)+E(f59(x8321),f59(x8322))
% 163.24/162.98 [833]~E(x8331,x8332)+E(f578(x8331,x8333,x8334),f578(x8332,x8333,x8334))
% 163.24/162.98 [834]~E(x8341,x8342)+E(f578(x8343,x8341,x8344),f578(x8343,x8342,x8344))
% 163.24/162.98 [835]~E(x8351,x8352)+E(f578(x8353,x8354,x8351),f578(x8353,x8354,x8352))
% 163.24/162.98 [836]~E(x8361,x8362)+E(f647(x8361,x8363),f647(x8362,x8363))
% 163.24/162.98 [837]~E(x8371,x8372)+E(f647(x8373,x8371),f647(x8373,x8372))
% 163.24/162.98 [838]~E(x8381,x8382)+E(f788(x8381,x8383),f788(x8382,x8383))
% 163.24/162.98 [839]~E(x8391,x8392)+E(f788(x8393,x8391),f788(x8393,x8392))
% 163.24/162.98 [840]~E(x8401,x8402)+E(f47(x8401,x8403),f47(x8402,x8403))
% 163.24/162.98 [841]~E(x8411,x8412)+E(f47(x8413,x8411),f47(x8413,x8412))
% 163.24/162.98 [842]~E(x8421,x8422)+E(f150(x8421,x8423,x8424,x8425,x8426),f150(x8422,x8423,x8424,x8425,x8426))
% 163.24/162.98 [843]~E(x8431,x8432)+E(f150(x8433,x8431,x8434,x8435,x8436),f150(x8433,x8432,x8434,x8435,x8436))
% 163.24/162.98 [844]~E(x8441,x8442)+E(f150(x8443,x8444,x8441,x8445,x8446),f150(x8443,x8444,x8442,x8445,x8446))
% 163.24/162.98 [845]~E(x8451,x8452)+E(f150(x8453,x8454,x8455,x8451,x8456),f150(x8453,x8454,x8455,x8452,x8456))
% 163.24/162.98 [846]~E(x8461,x8462)+E(f150(x8463,x8464,x8465,x8466,x8461),f150(x8463,x8464,x8465,x8466,x8462))
% 163.24/162.98 [847]~E(x8471,x8472)+E(f552(x8471),f552(x8472))
% 163.24/162.98 [848]~E(x8481,x8482)+E(f825(x8481,x8483,x8484,x8485,x8486),f825(x8482,x8483,x8484,x8485,x8486))
% 163.24/162.98 [849]~E(x8491,x8492)+E(f825(x8493,x8491,x8494,x8495,x8496),f825(x8493,x8492,x8494,x8495,x8496))
% 163.24/162.98 [850]~E(x8501,x8502)+E(f825(x8503,x8504,x8501,x8505,x8506),f825(x8503,x8504,x8502,x8505,x8506))
% 163.24/162.98 [851]~E(x8511,x8512)+E(f825(x8513,x8514,x8515,x8511,x8516),f825(x8513,x8514,x8515,x8512,x8516))
% 163.24/162.98 [852]~E(x8521,x8522)+E(f825(x8523,x8524,x8525,x8526,x8521),f825(x8523,x8524,x8525,x8526,x8522))
% 163.24/162.98 [853]~E(x8531,x8532)+E(f88(x8531),f88(x8532))
% 163.24/162.98 [854]~E(x8541,x8542)+E(f748(x8541,x8543,x8544,x8545,x8546),f748(x8542,x8543,x8544,x8545,x8546))
% 163.24/162.98 [855]~E(x8551,x8552)+E(f748(x8553,x8551,x8554,x8555,x8556),f748(x8553,x8552,x8554,x8555,x8556))
% 163.24/162.98 [856]~E(x8561,x8562)+E(f748(x8563,x8564,x8561,x8565,x8566),f748(x8563,x8564,x8562,x8565,x8566))
% 163.24/162.98 [857]~E(x8571,x8572)+E(f748(x8573,x8574,x8575,x8571,x8576),f748(x8573,x8574,x8575,x8572,x8576))
% 163.24/162.98 [858]~E(x8581,x8582)+E(f748(x8583,x8584,x8585,x8586,x8581),f748(x8583,x8584,x8585,x8586,x8582))
% 163.24/162.98 [859]~E(x8591,x8592)+E(f151(x8591,x8593,x8594,x8595),f151(x8592,x8593,x8594,x8595))
% 163.24/162.98 [860]~E(x8601,x8602)+E(f151(x8603,x8601,x8604,x8605),f151(x8603,x8602,x8604,x8605))
% 163.24/162.98 [861]~E(x8611,x8612)+E(f151(x8613,x8614,x8611,x8615),f151(x8613,x8614,x8612,x8615))
% 163.24/162.98 [862]~E(x8621,x8622)+E(f151(x8623,x8624,x8625,x8621),f151(x8623,x8624,x8625,x8622))
% 163.24/162.98 [863]~E(x8631,x8632)+E(f314(x8631,x8633),f314(x8632,x8633))
% 163.24/162.98 [864]~E(x8641,x8642)+E(f314(x8643,x8641),f314(x8643,x8642))
% 163.24/162.98 [865]~E(x8651,x8652)+E(f733(x8651,x8653,x8654,x8655,x8656,x8657),f733(x8652,x8653,x8654,x8655,x8656,x8657))
% 163.24/162.98 [866]~E(x8661,x8662)+E(f733(x8663,x8661,x8664,x8665,x8666,x8667),f733(x8663,x8662,x8664,x8665,x8666,x8667))
% 163.24/162.98 [867]~E(x8671,x8672)+E(f733(x8673,x8674,x8671,x8675,x8676,x8677),f733(x8673,x8674,x8672,x8675,x8676,x8677))
% 163.24/162.98 [868]~E(x8681,x8682)+E(f733(x8683,x8684,x8685,x8681,x8686,x8687),f733(x8683,x8684,x8685,x8682,x8686,x8687))
% 163.24/162.98 [869]~E(x8691,x8692)+E(f733(x8693,x8694,x8695,x8696,x8691,x8697),f733(x8693,x8694,x8695,x8696,x8692,x8697))
% 163.24/162.98 [870]~E(x8701,x8702)+E(f733(x8703,x8704,x8705,x8706,x8707,x8701),f733(x8703,x8704,x8705,x8706,x8707,x8702))
% 163.24/162.98 [871]~E(x8711,x8712)+E(f190(x8711,x8713,x8714),f190(x8712,x8713,x8714))
% 163.24/162.98 [872]~E(x8721,x8722)+E(f190(x8723,x8721,x8724),f190(x8723,x8722,x8724))
% 163.24/162.98 [873]~E(x8731,x8732)+E(f190(x8733,x8734,x8731),f190(x8733,x8734,x8732))
% 163.24/162.98 [874]~E(x8741,x8742)+E(f776(x8741,x8743,x8744,x8745,x8746),f776(x8742,x8743,x8744,x8745,x8746))
% 163.24/162.98 [875]~E(x8751,x8752)+E(f776(x8753,x8751,x8754,x8755,x8756),f776(x8753,x8752,x8754,x8755,x8756))
% 163.24/162.98 [876]~E(x8761,x8762)+E(f776(x8763,x8764,x8761,x8765,x8766),f776(x8763,x8764,x8762,x8765,x8766))
% 163.24/162.98 [877]~E(x8771,x8772)+E(f776(x8773,x8774,x8775,x8771,x8776),f776(x8773,x8774,x8775,x8772,x8776))
% 163.24/162.98 [878]~E(x8781,x8782)+E(f776(x8783,x8784,x8785,x8786,x8781),f776(x8783,x8784,x8785,x8786,x8782))
% 163.24/162.98 [879]~E(x8791,x8792)+E(f211(x8791),f211(x8792))
% 163.24/162.98 [880]~E(x8801,x8802)+E(f432(x8801,x8803,x8804,x8805),f432(x8802,x8803,x8804,x8805))
% 163.24/162.98 [881]~E(x8811,x8812)+E(f432(x8813,x8811,x8814,x8815),f432(x8813,x8812,x8814,x8815))
% 163.24/162.98 [882]~E(x8821,x8822)+E(f432(x8823,x8824,x8821,x8825),f432(x8823,x8824,x8822,x8825))
% 163.24/162.98 [883]~E(x8831,x8832)+E(f432(x8833,x8834,x8835,x8831),f432(x8833,x8834,x8835,x8832))
% 163.24/162.98 [884]~E(x8841,x8842)+E(f867(x8841,x8843,x8844,x8845),f867(x8842,x8843,x8844,x8845))
% 163.24/162.98 [885]~E(x8851,x8852)+E(f867(x8853,x8851,x8854,x8855),f867(x8853,x8852,x8854,x8855))
% 163.24/162.98 [886]~E(x8861,x8862)+E(f867(x8863,x8864,x8861,x8865),f867(x8863,x8864,x8862,x8865))
% 163.24/162.98 [887]~E(x8871,x8872)+E(f867(x8873,x8874,x8875,x8871),f867(x8873,x8874,x8875,x8872))
% 163.24/162.98 [888]~E(x8881,x8882)+E(f199(x8881,x8883),f199(x8882,x8883))
% 163.24/162.98 [889]~E(x8891,x8892)+E(f199(x8893,x8891),f199(x8893,x8892))
% 163.24/162.98 [890]~E(x8901,x8902)+E(f315(x8901,x8903,x8904),f315(x8902,x8903,x8904))
% 163.24/162.98 [891]~E(x8911,x8912)+E(f315(x8913,x8911,x8914),f315(x8913,x8912,x8914))
% 163.24/162.98 [892]~E(x8921,x8922)+E(f315(x8923,x8924,x8921),f315(x8923,x8924,x8922))
% 163.24/162.98 [893]~E(x8931,x8932)+E(f124(x8931,x8933),f124(x8932,x8933))
% 163.24/162.98 [894]~E(x8941,x8942)+E(f124(x8943,x8941),f124(x8943,x8942))
% 163.24/162.98 [895]~E(x8951,x8952)+E(f507(x8951,x8953,x8954),f507(x8952,x8953,x8954))
% 163.24/162.98 [896]~E(x8961,x8962)+E(f507(x8963,x8961,x8964),f507(x8963,x8962,x8964))
% 163.24/162.98 [897]~E(x8971,x8972)+E(f507(x8973,x8974,x8971),f507(x8973,x8974,x8972))
% 163.24/162.98 [898]~E(x8981,x8982)+E(f380(x8981,x8983,x8984,x8985),f380(x8982,x8983,x8984,x8985))
% 163.24/162.98 [899]~E(x8991,x8992)+E(f380(x8993,x8991,x8994,x8995),f380(x8993,x8992,x8994,x8995))
% 163.24/162.98 [900]~E(x9001,x9002)+E(f380(x9003,x9004,x9001,x9005),f380(x9003,x9004,x9002,x9005))
% 163.24/162.98 [901]~E(x9011,x9012)+E(f380(x9013,x9014,x9015,x9011),f380(x9013,x9014,x9015,x9012))
% 163.24/162.98 [902]~E(x9021,x9022)+E(f340(x9021),f340(x9022))
% 163.24/162.98 [903]~E(x9031,x9032)+E(f683(x9031,x9033,x9034),f683(x9032,x9033,x9034))
% 163.24/162.98 [904]~E(x9041,x9042)+E(f683(x9043,x9041,x9044),f683(x9043,x9042,x9044))
% 163.24/162.98 [905]~E(x9051,x9052)+E(f683(x9053,x9054,x9051),f683(x9053,x9054,x9052))
% 163.24/162.98 [906]~E(x9061,x9062)+E(f440(x9061,x9063,x9064,x9065),f440(x9062,x9063,x9064,x9065))
% 163.24/162.98 [907]~E(x9071,x9072)+E(f440(x9073,x9071,x9074,x9075),f440(x9073,x9072,x9074,x9075))
% 163.24/162.98 [908]~E(x9081,x9082)+E(f440(x9083,x9084,x9081,x9085),f440(x9083,x9084,x9082,x9085))
% 163.24/162.98 [909]~E(x9091,x9092)+E(f440(x9093,x9094,x9095,x9091),f440(x9093,x9094,x9095,x9092))
% 163.24/162.98 [910]~E(x9101,x9102)+E(f348(x9101,x9103,x9104),f348(x9102,x9103,x9104))
% 163.24/162.98 [911]~E(x9111,x9112)+E(f348(x9113,x9111,x9114),f348(x9113,x9112,x9114))
% 163.24/162.98 [912]~E(x9121,x9122)+E(f348(x9123,x9124,x9121),f348(x9123,x9124,x9122))
% 163.24/162.98 [913]~E(x9131,x9132)+E(f431(x9131,x9133),f431(x9132,x9133))
% 163.24/162.98 [914]~E(x9141,x9142)+E(f431(x9143,x9141),f431(x9143,x9142))
% 163.24/162.98 [915]~E(x9151,x9152)+E(f734(x9151,x9153,x9154,x9155,x9156,x9157),f734(x9152,x9153,x9154,x9155,x9156,x9157))
% 163.24/162.98 [916]~E(x9161,x9162)+E(f734(x9163,x9161,x9164,x9165,x9166,x9167),f734(x9163,x9162,x9164,x9165,x9166,x9167))
% 163.24/162.98 [917]~E(x9171,x9172)+E(f734(x9173,x9174,x9171,x9175,x9176,x9177),f734(x9173,x9174,x9172,x9175,x9176,x9177))
% 163.24/162.98 [918]~E(x9181,x9182)+E(f734(x9183,x9184,x9185,x9181,x9186,x9187),f734(x9183,x9184,x9185,x9182,x9186,x9187))
% 163.24/162.98 [919]~E(x9191,x9192)+E(f734(x9193,x9194,x9195,x9196,x9191,x9197),f734(x9193,x9194,x9195,x9196,x9192,x9197))
% 163.24/162.98 [920]~E(x9201,x9202)+E(f734(x9203,x9204,x9205,x9206,x9207,x9201),f734(x9203,x9204,x9205,x9206,x9207,x9202))
% 163.24/162.98 [921]~E(x9211,x9212)+E(f92(x9211),f92(x9212))
% 163.24/162.98 [922]~E(x9221,x9222)+E(f619(x9221,x9223,x9224,x9225,x9226),f619(x9222,x9223,x9224,x9225,x9226))
% 163.24/162.98 [923]~E(x9231,x9232)+E(f619(x9233,x9231,x9234,x9235,x9236),f619(x9233,x9232,x9234,x9235,x9236))
% 163.24/162.98 [924]~E(x9241,x9242)+E(f619(x9243,x9244,x9241,x9245,x9246),f619(x9243,x9244,x9242,x9245,x9246))
% 163.24/162.98 [925]~E(x9251,x9252)+E(f619(x9253,x9254,x9255,x9251,x9256),f619(x9253,x9254,x9255,x9252,x9256))
% 163.24/162.98 [926]~E(x9261,x9262)+E(f619(x9263,x9264,x9265,x9266,x9261),f619(x9263,x9264,x9265,x9266,x9262))
% 163.24/162.98 [927]~E(x9271,x9272)+E(f478(x9271,x9273,x9274,x9275),f478(x9272,x9273,x9274,x9275))
% 163.24/162.98 [928]~E(x9281,x9282)+E(f478(x9283,x9281,x9284,x9285),f478(x9283,x9282,x9284,x9285))
% 163.24/162.98 [929]~E(x9291,x9292)+E(f478(x9293,x9294,x9291,x9295),f478(x9293,x9294,x9292,x9295))
% 163.24/162.98 [930]~E(x9301,x9302)+E(f478(x9303,x9304,x9305,x9301),f478(x9303,x9304,x9305,x9302))
% 163.24/162.98 [931]~E(x9311,x9312)+E(f564(x9311,x9313,x9314,x9315,x9316,x9317,x9318),f564(x9312,x9313,x9314,x9315,x9316,x9317,x9318))
% 163.24/162.98 [932]~E(x9321,x9322)+E(f564(x9323,x9321,x9324,x9325,x9326,x9327,x9328),f564(x9323,x9322,x9324,x9325,x9326,x9327,x9328))
% 163.24/162.98 [933]~E(x9331,x9332)+E(f564(x9333,x9334,x9331,x9335,x9336,x9337,x9338),f564(x9333,x9334,x9332,x9335,x9336,x9337,x9338))
% 163.24/162.98 [934]~E(x9341,x9342)+E(f564(x9343,x9344,x9345,x9341,x9346,x9347,x9348),f564(x9343,x9344,x9345,x9342,x9346,x9347,x9348))
% 163.24/162.98 [935]~E(x9351,x9352)+E(f564(x9353,x9354,x9355,x9356,x9351,x9357,x9358),f564(x9353,x9354,x9355,x9356,x9352,x9357,x9358))
% 163.24/162.98 [936]~E(x9361,x9362)+E(f564(x9363,x9364,x9365,x9366,x9367,x9361,x9368),f564(x9363,x9364,x9365,x9366,x9367,x9362,x9368))
% 163.24/162.98 [937]~E(x9371,x9372)+E(f564(x9373,x9374,x9375,x9376,x9377,x9378,x9371),f564(x9373,x9374,x9375,x9376,x9377,x9378,x9372))
% 163.24/162.98 [938]~E(x9381,x9382)+E(f482(x9381,x9383),f482(x9382,x9383))
% 163.24/162.98 [939]~E(x9391,x9392)+E(f482(x9393,x9391),f482(x9393,x9392))
% 163.24/162.98 [940]~E(x9401,x9402)+E(f616(x9401,x9403,x9404),f616(x9402,x9403,x9404))
% 163.24/162.98 [941]~E(x9411,x9412)+E(f616(x9413,x9411,x9414),f616(x9413,x9412,x9414))
% 163.24/162.98 [942]~E(x9421,x9422)+E(f616(x9423,x9424,x9421),f616(x9423,x9424,x9422))
% 163.24/162.98 [943]~E(x9431,x9432)+E(f462(x9431,x9433,x9434,x9435,x9436,x9437,x9438,x9439),f462(x9432,x9433,x9434,x9435,x9436,x9437,x9438,x9439))
% 163.24/162.98 [944]~E(x9441,x9442)+E(f462(x9443,x9441,x9444,x9445,x9446,x9447,x9448,x9449),f462(x9443,x9442,x9444,x9445,x9446,x9447,x9448,x9449))
% 163.24/162.98 [945]~E(x9451,x9452)+E(f462(x9453,x9454,x9451,x9455,x9456,x9457,x9458,x9459),f462(x9453,x9454,x9452,x9455,x9456,x9457,x9458,x9459))
% 163.24/162.98 [946]~E(x9461,x9462)+E(f462(x9463,x9464,x9465,x9461,x9466,x9467,x9468,x9469),f462(x9463,x9464,x9465,x9462,x9466,x9467,x9468,x9469))
% 163.24/162.98 [947]~E(x9471,x9472)+E(f462(x9473,x9474,x9475,x9476,x9471,x9477,x9478,x9479),f462(x9473,x9474,x9475,x9476,x9472,x9477,x9478,x9479))
% 163.24/162.98 [948]~E(x9481,x9482)+E(f462(x9483,x9484,x9485,x9486,x9487,x9481,x9488,x9489),f462(x9483,x9484,x9485,x9486,x9487,x9482,x9488,x9489))
% 163.24/162.98 [949]~E(x9491,x9492)+E(f462(x9493,x9494,x9495,x9496,x9497,x9498,x9491,x9499),f462(x9493,x9494,x9495,x9496,x9497,x9498,x9492,x9499))
% 163.24/162.98 [950]~E(x9501,x9502)+E(f462(x9503,x9504,x9505,x9506,x9507,x9508,x9509,x9501),f462(x9503,x9504,x9505,x9506,x9507,x9508,x9509,x9502))
% 163.24/162.98 [951]~E(x9511,x9512)+E(f763(x9511,x9513,x9514,x9515,x9516,x9517,x9518),f763(x9512,x9513,x9514,x9515,x9516,x9517,x9518))
% 163.24/162.98 [952]~E(x9521,x9522)+E(f763(x9523,x9521,x9524,x9525,x9526,x9527,x9528),f763(x9523,x9522,x9524,x9525,x9526,x9527,x9528))
% 163.24/162.98 [953]~E(x9531,x9532)+E(f763(x9533,x9534,x9531,x9535,x9536,x9537,x9538),f763(x9533,x9534,x9532,x9535,x9536,x9537,x9538))
% 163.24/162.98 [954]~E(x9541,x9542)+E(f763(x9543,x9544,x9545,x9541,x9546,x9547,x9548),f763(x9543,x9544,x9545,x9542,x9546,x9547,x9548))
% 163.24/162.98 [955]~E(x9551,x9552)+E(f763(x9553,x9554,x9555,x9556,x9551,x9557,x9558),f763(x9553,x9554,x9555,x9556,x9552,x9557,x9558))
% 163.24/162.98 [956]~E(x9561,x9562)+E(f763(x9563,x9564,x9565,x9566,x9567,x9561,x9568),f763(x9563,x9564,x9565,x9566,x9567,x9562,x9568))
% 163.24/162.98 [957]~E(x9571,x9572)+E(f763(x9573,x9574,x9575,x9576,x9577,x9578,x9571),f763(x9573,x9574,x9575,x9576,x9577,x9578,x9572))
% 163.24/162.98 [958]~E(x9581,x9582)+E(f364(x9581,x9583,x9584),f364(x9582,x9583,x9584))
% 163.24/162.98 [959]~E(x9591,x9592)+E(f364(x9593,x9591,x9594),f364(x9593,x9592,x9594))
% 163.24/162.98 [960]~E(x9601,x9602)+E(f364(x9603,x9604,x9601),f364(x9603,x9604,x9602))
% 163.24/162.98 [961]~E(x9611,x9612)+E(f392(x9611,x9613),f392(x9612,x9613))
% 163.24/162.98 [962]~E(x9621,x9622)+E(f392(x9623,x9621),f392(x9623,x9622))
% 163.24/162.98 [963]~E(x9631,x9632)+E(f568(x9631),f568(x9632))
% 163.24/162.98 [964]~E(x9641,x9642)+E(f574(x9641),f574(x9642))
% 163.24/162.98 [965]~E(x9651,x9652)+E(f145(x9651,x9653),f145(x9652,x9653))
% 163.24/162.98 [966]~E(x9661,x9662)+E(f145(x9663,x9661),f145(x9663,x9662))
% 163.24/162.98 [967]~E(x9671,x9672)+E(f785(x9671,x9673),f785(x9672,x9673))
% 163.24/162.98 [968]~E(x9681,x9682)+E(f785(x9683,x9681),f785(x9683,x9682))
% 163.24/162.98 [969]~E(x9691,x9692)+E(f834(x9691,x9693,x9694,x9695),f834(x9692,x9693,x9694,x9695))
% 163.24/162.98 [970]~E(x9701,x9702)+E(f834(x9703,x9701,x9704,x9705),f834(x9703,x9702,x9704,x9705))
% 163.24/162.98 [971]~E(x9711,x9712)+E(f834(x9713,x9714,x9711,x9715),f834(x9713,x9714,x9712,x9715))
% 163.24/162.98 [972]~E(x9721,x9722)+E(f834(x9723,x9724,x9725,x9721),f834(x9723,x9724,x9725,x9722))
% 163.24/162.98 [973]~E(x9731,x9732)+E(f697(x9731,x9733),f697(x9732,x9733))
% 163.24/162.98 [974]~E(x9741,x9742)+E(f697(x9743,x9741),f697(x9743,x9742))
% 163.24/162.98 [975]~E(x9751,x9752)+E(f369(x9751,x9753,x9754,x9755),f369(x9752,x9753,x9754,x9755))
% 163.24/162.98 [976]~E(x9761,x9762)+E(f369(x9763,x9761,x9764,x9765),f369(x9763,x9762,x9764,x9765))
% 163.24/162.98 [977]~E(x9771,x9772)+E(f369(x9773,x9774,x9771,x9775),f369(x9773,x9774,x9772,x9775))
% 163.24/162.98 [978]~E(x9781,x9782)+E(f369(x9783,x9784,x9785,x9781),f369(x9783,x9784,x9785,x9782))
% 163.24/162.98 [979]~E(x9791,x9792)+E(f268(x9791,x9793,x9794),f268(x9792,x9793,x9794))
% 163.24/162.98 [980]~E(x9801,x9802)+E(f268(x9803,x9801,x9804),f268(x9803,x9802,x9804))
% 163.24/162.98 [981]~E(x9811,x9812)+E(f268(x9813,x9814,x9811),f268(x9813,x9814,x9812))
% 163.24/162.98 [982]~E(x9821,x9822)+E(f687(x9821,x9823,x9824,x9825,x9826),f687(x9822,x9823,x9824,x9825,x9826))
% 163.24/162.98 [983]~E(x9831,x9832)+E(f687(x9833,x9831,x9834,x9835,x9836),f687(x9833,x9832,x9834,x9835,x9836))
% 163.24/162.98 [984]~E(x9841,x9842)+E(f687(x9843,x9844,x9841,x9845,x9846),f687(x9843,x9844,x9842,x9845,x9846))
% 163.24/162.98 [985]~E(x9851,x9852)+E(f687(x9853,x9854,x9855,x9851,x9856),f687(x9853,x9854,x9855,x9852,x9856))
% 163.24/162.98 [986]~E(x9861,x9862)+E(f687(x9863,x9864,x9865,x9866,x9861),f687(x9863,x9864,x9865,x9866,x9862))
% 163.24/162.98 [987]~E(x9871,x9872)+E(f841(x9871,x9873,x9874),f841(x9872,x9873,x9874))
% 163.24/162.98 [988]~E(x9881,x9882)+E(f841(x9883,x9881,x9884),f841(x9883,x9882,x9884))
% 163.24/162.98 [989]~E(x9891,x9892)+E(f841(x9893,x9894,x9891),f841(x9893,x9894,x9892))
% 163.24/162.98 [990]~E(x9901,x9902)+E(f274(x9901,x9903,x9904,x9905),f274(x9902,x9903,x9904,x9905))
% 163.24/162.98 [991]~E(x9911,x9912)+E(f274(x9913,x9911,x9914,x9915),f274(x9913,x9912,x9914,x9915))
% 163.24/162.98 [992]~E(x9921,x9922)+E(f274(x9923,x9924,x9921,x9925),f274(x9923,x9924,x9922,x9925))
% 163.24/162.98 [993]~E(x9931,x9932)+E(f274(x9933,x9934,x9935,x9931),f274(x9933,x9934,x9935,x9932))
% 163.24/162.98 [994]~E(x9941,x9942)+E(f134(x9941),f134(x9942))
% 163.24/162.98 [995]~E(x9951,x9952)+E(f454(x9951,x9953,x9954),f454(x9952,x9953,x9954))
% 163.24/162.98 [996]~E(x9961,x9962)+E(f454(x9963,x9961,x9964),f454(x9963,x9962,x9964))
% 163.24/162.98 [997]~E(x9971,x9972)+E(f454(x9973,x9974,x9971),f454(x9973,x9974,x9972))
% 163.24/162.98 [998]~E(x9981,x9982)+E(f99(x9981,x9983,x9984,x9985),f99(x9982,x9983,x9984,x9985))
% 163.24/162.98 [999]~E(x9991,x9992)+E(f99(x9993,x9991,x9994,x9995),f99(x9993,x9992,x9994,x9995))
% 163.24/162.98 [1000]~E(x10001,x10002)+E(f99(x10003,x10004,x10001,x10005),f99(x10003,x10004,x10002,x10005))
% 163.24/162.98 [1001]~E(x10011,x10012)+E(f99(x10013,x10014,x10015,x10011),f99(x10013,x10014,x10015,x10012))
% 163.24/162.98 [1002]~E(x10021,x10022)+E(f55(x10021,x10023),f55(x10022,x10023))
% 163.24/162.98 [1003]~E(x10031,x10032)+E(f55(x10033,x10031),f55(x10033,x10032))
% 163.24/162.98 [1004]~E(x10041,x10042)+E(f761(x10041,x10043,x10044),f761(x10042,x10043,x10044))
% 163.24/162.98 [1005]~E(x10051,x10052)+E(f761(x10053,x10051,x10054),f761(x10053,x10052,x10054))
% 163.24/162.98 [1006]~E(x10061,x10062)+E(f761(x10063,x10064,x10061),f761(x10063,x10064,x10062))
% 163.24/162.98 [1007]~E(x10071,x10072)+E(f521(x10071,x10073,x10074,x10075,x10076,x10077),f521(x10072,x10073,x10074,x10075,x10076,x10077))
% 163.24/162.98 [1008]~E(x10081,x10082)+E(f521(x10083,x10081,x10084,x10085,x10086,x10087),f521(x10083,x10082,x10084,x10085,x10086,x10087))
% 163.24/162.98 [1009]~E(x10091,x10092)+E(f521(x10093,x10094,x10091,x10095,x10096,x10097),f521(x10093,x10094,x10092,x10095,x10096,x10097))
% 163.24/162.98 [1010]~E(x10101,x10102)+E(f521(x10103,x10104,x10105,x10101,x10106,x10107),f521(x10103,x10104,x10105,x10102,x10106,x10107))
% 163.24/162.98 [1011]~E(x10111,x10112)+E(f521(x10113,x10114,x10115,x10116,x10111,x10117),f521(x10113,x10114,x10115,x10116,x10112,x10117))
% 163.24/162.98 [1012]~E(x10121,x10122)+E(f521(x10123,x10124,x10125,x10126,x10127,x10121),f521(x10123,x10124,x10125,x10126,x10127,x10122))
% 163.24/162.98 [1013]~E(x10131,x10132)+E(f208(x10131,x10133),f208(x10132,x10133))
% 163.24/162.98 [1014]~E(x10141,x10142)+E(f208(x10143,x10141),f208(x10143,x10142))
% 163.24/162.98 [1015]~E(x10151,x10152)+E(f278(x10151),f278(x10152))
% 163.24/162.98 [1016]~E(x10161,x10162)+E(f320(x10161,x10163,x10164,x10165),f320(x10162,x10163,x10164,x10165))
% 163.24/162.98 [1017]~E(x10171,x10172)+E(f320(x10173,x10171,x10174,x10175),f320(x10173,x10172,x10174,x10175))
% 163.24/162.98 [1018]~E(x10181,x10182)+E(f320(x10183,x10184,x10181,x10185),f320(x10183,x10184,x10182,x10185))
% 163.24/162.98 [1019]~E(x10191,x10192)+E(f320(x10193,x10194,x10195,x10191),f320(x10193,x10194,x10195,x10192))
% 163.24/162.98 [1020]~E(x10201,x10202)+E(f777(x10201,x10203,x10204,x10205,x10206),f777(x10202,x10203,x10204,x10205,x10206))
% 163.24/162.98 [1021]~E(x10211,x10212)+E(f777(x10213,x10211,x10214,x10215,x10216),f777(x10213,x10212,x10214,x10215,x10216))
% 163.24/162.98 [1022]~E(x10221,x10222)+E(f777(x10223,x10224,x10221,x10225,x10226),f777(x10223,x10224,x10222,x10225,x10226))
% 163.24/162.98 [1023]~E(x10231,x10232)+E(f777(x10233,x10234,x10235,x10231,x10236),f777(x10233,x10234,x10235,x10232,x10236))
% 163.24/162.98 [1024]~E(x10241,x10242)+E(f777(x10243,x10244,x10245,x10246,x10241),f777(x10243,x10244,x10245,x10246,x10242))
% 163.24/162.98 [1025]~E(x10251,x10252)+E(f787(x10251,x10253,x10254),f787(x10252,x10253,x10254))
% 163.24/162.98 [1026]~E(x10261,x10262)+E(f787(x10263,x10261,x10264),f787(x10263,x10262,x10264))
% 163.24/162.98 [1027]~E(x10271,x10272)+E(f787(x10273,x10274,x10271),f787(x10273,x10274,x10272))
% 163.24/162.98 [1028]~E(x10281,x10282)+E(f686(x10281,x10283,x10284,x10285),f686(x10282,x10283,x10284,x10285))
% 163.24/162.98 [1029]~E(x10291,x10292)+E(f686(x10293,x10291,x10294,x10295),f686(x10293,x10292,x10294,x10295))
% 163.24/162.98 [1030]~E(x10301,x10302)+E(f686(x10303,x10304,x10301,x10305),f686(x10303,x10304,x10302,x10305))
% 163.24/162.98 [1031]~E(x10311,x10312)+E(f686(x10313,x10314,x10315,x10311),f686(x10313,x10314,x10315,x10312))
% 163.24/162.98 [1032]~E(x10321,x10322)+E(f580(x10321,x10323),f580(x10322,x10323))
% 163.24/162.98 [1033]~E(x10331,x10332)+E(f580(x10333,x10331),f580(x10333,x10332))
% 163.24/162.98 [1034]~E(x10341,x10342)+E(f508(x10341,x10343,x10344),f508(x10342,x10343,x10344))
% 163.24/162.98 [1035]~E(x10351,x10352)+E(f508(x10353,x10351,x10354),f508(x10353,x10352,x10354))
% 163.24/162.98 [1036]~E(x10361,x10362)+E(f508(x10363,x10364,x10361),f508(x10363,x10364,x10362))
% 163.24/162.98 [1037]~E(x10371,x10372)+E(f753(x10371,x10373,x10374,x10375,x10376,x10377),f753(x10372,x10373,x10374,x10375,x10376,x10377))
% 163.24/162.98 [1038]~E(x10381,x10382)+E(f753(x10383,x10381,x10384,x10385,x10386,x10387),f753(x10383,x10382,x10384,x10385,x10386,x10387))
% 163.24/162.98 [1039]~E(x10391,x10392)+E(f753(x10393,x10394,x10391,x10395,x10396,x10397),f753(x10393,x10394,x10392,x10395,x10396,x10397))
% 163.24/162.98 [1040]~E(x10401,x10402)+E(f753(x10403,x10404,x10405,x10401,x10406,x10407),f753(x10403,x10404,x10405,x10402,x10406,x10407))
% 163.24/162.98 [1041]~E(x10411,x10412)+E(f753(x10413,x10414,x10415,x10416,x10411,x10417),f753(x10413,x10414,x10415,x10416,x10412,x10417))
% 163.24/162.98 [1042]~E(x10421,x10422)+E(f753(x10423,x10424,x10425,x10426,x10427,x10421),f753(x10423,x10424,x10425,x10426,x10427,x10422))
% 163.24/162.98 [1043]~E(x10431,x10432)+E(f613(x10431,x10433,x10434,x10435),f613(x10432,x10433,x10434,x10435))
% 163.24/162.98 [1044]~E(x10441,x10442)+E(f613(x10443,x10441,x10444,x10445),f613(x10443,x10442,x10444,x10445))
% 163.24/162.98 [1045]~E(x10451,x10452)+E(f613(x10453,x10454,x10451,x10455),f613(x10453,x10454,x10452,x10455))
% 163.24/162.98 [1046]~E(x10461,x10462)+E(f613(x10463,x10464,x10465,x10461),f613(x10463,x10464,x10465,x10462))
% 163.24/162.98 [1047]~E(x10471,x10472)+E(f663(x10471,x10473,x10474,x10475,x10476),f663(x10472,x10473,x10474,x10475,x10476))
% 163.24/162.98 [1048]~E(x10481,x10482)+E(f663(x10483,x10481,x10484,x10485,x10486),f663(x10483,x10482,x10484,x10485,x10486))
% 163.24/162.98 [1049]~E(x10491,x10492)+E(f663(x10493,x10494,x10491,x10495,x10496),f663(x10493,x10494,x10492,x10495,x10496))
% 163.24/162.98 [1050]~E(x10501,x10502)+E(f663(x10503,x10504,x10505,x10501,x10506),f663(x10503,x10504,x10505,x10502,x10506))
% 163.24/162.98 [1051]~E(x10511,x10512)+E(f663(x10513,x10514,x10515,x10516,x10511),f663(x10513,x10514,x10515,x10516,x10512))
% 163.24/162.98 [1052]~E(x10521,x10522)+E(f872(x10521,x10523,x10524,x10525,x10526),f872(x10522,x10523,x10524,x10525,x10526))
% 163.24/162.98 [1053]~E(x10531,x10532)+E(f872(x10533,x10531,x10534,x10535,x10536),f872(x10533,x10532,x10534,x10535,x10536))
% 163.24/162.98 [1054]~E(x10541,x10542)+E(f872(x10543,x10544,x10541,x10545,x10546),f872(x10543,x10544,x10542,x10545,x10546))
% 163.24/162.98 [1055]~E(x10551,x10552)+E(f872(x10553,x10554,x10555,x10551,x10556),f872(x10553,x10554,x10555,x10552,x10556))
% 163.24/162.98 [1056]~E(x10561,x10562)+E(f872(x10563,x10564,x10565,x10566,x10561),f872(x10563,x10564,x10565,x10566,x10562))
% 163.24/162.98 [1057]~E(x10571,x10572)+E(f126(x10571),f126(x10572))
% 163.24/162.98 [1058]~E(x10581,x10582)+E(f399(x10581,x10583,x10584),f399(x10582,x10583,x10584))
% 163.24/162.98 [1059]~E(x10591,x10592)+E(f399(x10593,x10591,x10594),f399(x10593,x10592,x10594))
% 163.24/162.98 [1060]~E(x10601,x10602)+E(f399(x10603,x10604,x10601),f399(x10603,x10604,x10602))
% 163.24/162.98 [1061]~E(x10611,x10612)+E(f793(x10611,x10613,x10614),f793(x10612,x10613,x10614))
% 163.24/162.98 [1062]~E(x10621,x10622)+E(f793(x10623,x10621,x10624),f793(x10623,x10622,x10624))
% 163.24/162.98 [1063]~E(x10631,x10632)+E(f793(x10633,x10634,x10631),f793(x10633,x10634,x10632))
% 163.24/162.98 [1064]~E(x10641,x10642)+E(f740(x10641),f740(x10642))
% 163.24/162.98 [1065]~E(x10651,x10652)+E(f532(x10651,x10653,x10654,x10655,x10656,x10657,x10658),f532(x10652,x10653,x10654,x10655,x10656,x10657,x10658))
% 163.24/162.98 [1066]~E(x10661,x10662)+E(f532(x10663,x10661,x10664,x10665,x10666,x10667,x10668),f532(x10663,x10662,x10664,x10665,x10666,x10667,x10668))
% 163.24/162.98 [1067]~E(x10671,x10672)+E(f532(x10673,x10674,x10671,x10675,x10676,x10677,x10678),f532(x10673,x10674,x10672,x10675,x10676,x10677,x10678))
% 163.24/162.98 [1068]~E(x10681,x10682)+E(f532(x10683,x10684,x10685,x10681,x10686,x10687,x10688),f532(x10683,x10684,x10685,x10682,x10686,x10687,x10688))
% 163.24/162.98 [1069]~E(x10691,x10692)+E(f532(x10693,x10694,x10695,x10696,x10691,x10697,x10698),f532(x10693,x10694,x10695,x10696,x10692,x10697,x10698))
% 163.24/162.98 [1070]~E(x10701,x10702)+E(f532(x10703,x10704,x10705,x10706,x10707,x10701,x10708),f532(x10703,x10704,x10705,x10706,x10707,x10702,x10708))
% 163.24/162.98 [1071]~E(x10711,x10712)+E(f532(x10713,x10714,x10715,x10716,x10717,x10718,x10711),f532(x10713,x10714,x10715,x10716,x10717,x10718,x10712))
% 163.24/162.98 [1072]~E(x10721,x10722)+E(f77(x10721,x10723,x10724,x10725,x10726),f77(x10722,x10723,x10724,x10725,x10726))
% 163.24/162.98 [1073]~E(x10731,x10732)+E(f77(x10733,x10731,x10734,x10735,x10736),f77(x10733,x10732,x10734,x10735,x10736))
% 163.24/162.98 [1074]~E(x10741,x10742)+E(f77(x10743,x10744,x10741,x10745,x10746),f77(x10743,x10744,x10742,x10745,x10746))
% 163.24/162.98 [1075]~E(x10751,x10752)+E(f77(x10753,x10754,x10755,x10751,x10756),f77(x10753,x10754,x10755,x10752,x10756))
% 163.24/162.98 [1076]~E(x10761,x10762)+E(f77(x10763,x10764,x10765,x10766,x10761),f77(x10763,x10764,x10765,x10766,x10762))
% 163.24/162.98 [1077]~E(x10771,x10772)+E(f157(x10771,x10773,x10774,x10775),f157(x10772,x10773,x10774,x10775))
% 163.24/162.98 [1078]~E(x10781,x10782)+E(f157(x10783,x10781,x10784,x10785),f157(x10783,x10782,x10784,x10785))
% 163.24/162.98 [1079]~E(x10791,x10792)+E(f157(x10793,x10794,x10791,x10795),f157(x10793,x10794,x10792,x10795))
% 163.24/162.98 [1080]~E(x10801,x10802)+E(f157(x10803,x10804,x10805,x10801),f157(x10803,x10804,x10805,x10802))
% 163.24/162.98 [1081]~E(x10811,x10812)+E(f411(x10811,x10813,x10814),f411(x10812,x10813,x10814))
% 163.24/162.98 [1082]~E(x10821,x10822)+E(f411(x10823,x10821,x10824),f411(x10823,x10822,x10824))
% 163.24/162.98 [1083]~E(x10831,x10832)+E(f411(x10833,x10834,x10831),f411(x10833,x10834,x10832))
% 163.24/162.98 [1084]~E(x10841,x10842)+E(f385(x10841,x10843,x10844,x10845),f385(x10842,x10843,x10844,x10845))
% 163.24/162.98 [1085]~E(x10851,x10852)+E(f385(x10853,x10851,x10854,x10855),f385(x10853,x10852,x10854,x10855))
% 163.24/162.98 [1086]~E(x10861,x10862)+E(f385(x10863,x10864,x10861,x10865),f385(x10863,x10864,x10862,x10865))
% 163.24/162.98 [1087]~E(x10871,x10872)+E(f385(x10873,x10874,x10875,x10871),f385(x10873,x10874,x10875,x10872))
% 163.24/162.98 [1088]~E(x10881,x10882)+E(f866(x10881,x10883,x10884),f866(x10882,x10883,x10884))
% 163.24/162.98 [1089]~E(x10891,x10892)+E(f866(x10893,x10891,x10894),f866(x10893,x10892,x10894))
% 163.24/162.98 [1090]~E(x10901,x10902)+E(f866(x10903,x10904,x10901),f866(x10903,x10904,x10902))
% 163.24/162.98 [1091]~E(x10911,x10912)+E(f648(x10911,x10913),f648(x10912,x10913))
% 163.24/162.98 [1092]~E(x10921,x10922)+E(f648(x10923,x10921),f648(x10923,x10922))
% 163.24/162.98 [1093]~E(x10931,x10932)+E(f850(x10931,x10933,x10934,x10935,x10936),f850(x10932,x10933,x10934,x10935,x10936))
% 163.24/162.98 [1094]~E(x10941,x10942)+E(f850(x10943,x10941,x10944,x10945,x10946),f850(x10943,x10942,x10944,x10945,x10946))
% 163.24/162.98 [1095]~E(x10951,x10952)+E(f850(x10953,x10954,x10951,x10955,x10956),f850(x10953,x10954,x10952,x10955,x10956))
% 163.24/162.98 [1096]~E(x10961,x10962)+E(f850(x10963,x10964,x10965,x10961,x10966),f850(x10963,x10964,x10965,x10962,x10966))
% 163.24/162.98 [1097]~E(x10971,x10972)+E(f850(x10973,x10974,x10975,x10976,x10971),f850(x10973,x10974,x10975,x10976,x10972))
% 163.24/162.98 [1098]~E(x10981,x10982)+E(f557(x10981,x10983,x10984,x10985,x10986),f557(x10982,x10983,x10984,x10985,x10986))
% 163.24/162.98 [1099]~E(x10991,x10992)+E(f557(x10993,x10991,x10994,x10995,x10996),f557(x10993,x10992,x10994,x10995,x10996))
% 163.24/162.98 [1100]~E(x11001,x11002)+E(f557(x11003,x11004,x11001,x11005,x11006),f557(x11003,x11004,x11002,x11005,x11006))
% 163.24/162.98 [1101]~E(x11011,x11012)+E(f557(x11013,x11014,x11015,x11011,x11016),f557(x11013,x11014,x11015,x11012,x11016))
% 163.24/162.98 [1102]~E(x11021,x11022)+E(f557(x11023,x11024,x11025,x11026,x11021),f557(x11023,x11024,x11025,x11026,x11022))
% 163.24/162.98 [1103]~E(x11031,x11032)+E(f828(x11031,x11033,x11034,x11035,x11036),f828(x11032,x11033,x11034,x11035,x11036))
% 163.24/162.98 [1104]~E(x11041,x11042)+E(f828(x11043,x11041,x11044,x11045,x11046),f828(x11043,x11042,x11044,x11045,x11046))
% 163.24/162.98 [1105]~E(x11051,x11052)+E(f828(x11053,x11054,x11051,x11055,x11056),f828(x11053,x11054,x11052,x11055,x11056))
% 163.24/162.98 [1106]~E(x11061,x11062)+E(f828(x11063,x11064,x11065,x11061,x11066),f828(x11063,x11064,x11065,x11062,x11066))
% 163.24/162.98 [1107]~E(x11071,x11072)+E(f828(x11073,x11074,x11075,x11076,x11071),f828(x11073,x11074,x11075,x11076,x11072))
% 163.24/162.98 [1108]~E(x11081,x11082)+E(f766(x11081,x11083,x11084),f766(x11082,x11083,x11084))
% 163.24/162.98 [1109]~E(x11091,x11092)+E(f766(x11093,x11091,x11094),f766(x11093,x11092,x11094))
% 163.24/162.98 [1110]~E(x11101,x11102)+E(f766(x11103,x11104,x11101),f766(x11103,x11104,x11102))
% 163.24/162.98 [1111]~E(x11111,x11112)+E(f524(x11111,x11113,x11114,x11115),f524(x11112,x11113,x11114,x11115))
% 163.24/162.98 [1112]~E(x11121,x11122)+E(f524(x11123,x11121,x11124,x11125),f524(x11123,x11122,x11124,x11125))
% 163.24/162.98 [1113]~E(x11131,x11132)+E(f524(x11133,x11134,x11131,x11135),f524(x11133,x11134,x11132,x11135))
% 163.24/162.98 [1114]~E(x11141,x11142)+E(f524(x11143,x11144,x11145,x11141),f524(x11143,x11144,x11145,x11142))
% 163.24/162.98 [1115]~E(x11151,x11152)+E(f760(x11151,x11153,x11154),f760(x11152,x11153,x11154))
% 163.24/162.98 [1116]~E(x11161,x11162)+E(f760(x11163,x11161,x11164),f760(x11163,x11162,x11164))
% 163.24/162.98 [1117]~E(x11171,x11172)+E(f760(x11173,x11174,x11171),f760(x11173,x11174,x11172))
% 163.24/162.98 [1118]~E(x11181,x11182)+E(f230(x11181,x11183,x11184,x11185),f230(x11182,x11183,x11184,x11185))
% 163.24/162.98 [1119]~E(x11191,x11192)+E(f230(x11193,x11191,x11194,x11195),f230(x11193,x11192,x11194,x11195))
% 163.24/162.98 [1120]~E(x11201,x11202)+E(f230(x11203,x11204,x11201,x11205),f230(x11203,x11204,x11202,x11205))
% 163.24/162.98 [1121]~E(x11211,x11212)+E(f230(x11213,x11214,x11215,x11211),f230(x11213,x11214,x11215,x11212))
% 163.24/162.98 [1122]~E(x11221,x11222)+E(f672(x11221,x11223,x11224),f672(x11222,x11223,x11224))
% 163.24/162.98 [1123]~E(x11231,x11232)+E(f672(x11233,x11231,x11234),f672(x11233,x11232,x11234))
% 163.24/162.98 [1124]~E(x11241,x11242)+E(f672(x11243,x11244,x11241),f672(x11243,x11244,x11242))
% 163.24/162.98 [1125]~E(x11251,x11252)+E(f756(x11251,x11253,x11254),f756(x11252,x11253,x11254))
% 163.24/162.98 [1126]~E(x11261,x11262)+E(f756(x11263,x11261,x11264),f756(x11263,x11262,x11264))
% 163.24/162.98 [1127]~E(x11271,x11272)+E(f756(x11273,x11274,x11271),f756(x11273,x11274,x11272))
% 163.24/162.98 [1128]~E(x11281,x11282)+E(f728(x11281,x11283,x11284),f728(x11282,x11283,x11284))
% 163.24/162.98 [1129]~E(x11291,x11292)+E(f728(x11293,x11291,x11294),f728(x11293,x11292,x11294))
% 163.24/162.98 [1130]~E(x11301,x11302)+E(f728(x11303,x11304,x11301),f728(x11303,x11304,x11302))
% 163.24/162.98 [1131]~E(x11311,x11312)+E(f498(x11311,x11313,x11314),f498(x11312,x11313,x11314))
% 163.24/162.98 [1132]~E(x11321,x11322)+E(f498(x11323,x11321,x11324),f498(x11323,x11322,x11324))
% 163.24/162.98 [1133]~E(x11331,x11332)+E(f498(x11333,x11334,x11331),f498(x11333,x11334,x11332))
% 163.24/162.98 [1134]~E(x11341,x11342)+E(f501(x11341,x11343,x11344),f501(x11342,x11343,x11344))
% 163.24/162.98 [1135]~E(x11351,x11352)+E(f501(x11353,x11351,x11354),f501(x11353,x11352,x11354))
% 163.24/162.98 [1136]~E(x11361,x11362)+E(f501(x11363,x11364,x11361),f501(x11363,x11364,x11362))
% 163.24/162.98 [1137]~E(x11371,x11372)+E(f762(x11371,x11373),f762(x11372,x11373))
% 163.24/162.98 [1138]~E(x11381,x11382)+E(f762(x11383,x11381),f762(x11383,x11382))
% 163.24/162.98 [1139]~E(x11391,x11392)+E(f598(x11391,x11393,x11394,x11395,x11396),f598(x11392,x11393,x11394,x11395,x11396))
% 163.24/162.98 [1140]~E(x11401,x11402)+E(f598(x11403,x11401,x11404,x11405,x11406),f598(x11403,x11402,x11404,x11405,x11406))
% 163.24/162.98 [1141]~E(x11411,x11412)+E(f598(x11413,x11414,x11411,x11415,x11416),f598(x11413,x11414,x11412,x11415,x11416))
% 163.24/162.98 [1142]~E(x11421,x11422)+E(f598(x11423,x11424,x11425,x11421,x11426),f598(x11423,x11424,x11425,x11422,x11426))
% 163.24/162.98 [1143]~E(x11431,x11432)+E(f598(x11433,x11434,x11435,x11436,x11431),f598(x11433,x11434,x11435,x11436,x11432))
% 163.24/162.98 [1144]~E(x11441,x11442)+E(f406(x11441,x11443,x11444),f406(x11442,x11443,x11444))
% 163.24/162.98 [1145]~E(x11451,x11452)+E(f406(x11453,x11451,x11454),f406(x11453,x11452,x11454))
% 163.24/162.98 [1146]~E(x11461,x11462)+E(f406(x11463,x11464,x11461),f406(x11463,x11464,x11462))
% 163.24/162.98 [1147]~E(x11471,x11472)+E(f64(x11471,x11473,x11474),f64(x11472,x11473,x11474))
% 163.24/162.98 [1148]~E(x11481,x11482)+E(f64(x11483,x11481,x11484),f64(x11483,x11482,x11484))
% 163.24/162.98 [1149]~E(x11491,x11492)+E(f64(x11493,x11494,x11491),f64(x11493,x11494,x11492))
% 163.24/162.98 [1150]~E(x11501,x11502)+E(f337(x11501,x11503,x11504,x11505),f337(x11502,x11503,x11504,x11505))
% 163.24/162.98 [1151]~E(x11511,x11512)+E(f337(x11513,x11511,x11514,x11515),f337(x11513,x11512,x11514,x11515))
% 163.24/162.98 [1152]~E(x11521,x11522)+E(f337(x11523,x11524,x11521,x11525),f337(x11523,x11524,x11522,x11525))
% 163.24/162.98 [1153]~E(x11531,x11532)+E(f337(x11533,x11534,x11535,x11531),f337(x11533,x11534,x11535,x11532))
% 163.24/162.98 [1154]~E(x11541,x11542)+E(f739(x11541,x11543,x11544),f739(x11542,x11543,x11544))
% 163.24/162.98 [1155]~E(x11551,x11552)+E(f739(x11553,x11551,x11554),f739(x11553,x11552,x11554))
% 163.24/162.98 [1156]~E(x11561,x11562)+E(f739(x11563,x11564,x11561),f739(x11563,x11564,x11562))
% 163.24/162.98 [1157]~E(x11571,x11572)+E(f212(x11571,x11573),f212(x11572,x11573))
% 163.24/162.98 [1158]~E(x11581,x11582)+E(f212(x11583,x11581),f212(x11583,x11582))
% 163.24/162.98 [1159]~E(x11591,x11592)+E(f515(x11591,x11593,x11594,x11595,x11596,x11597,x11598,x11599,x115910),f515(x11592,x11593,x11594,x11595,x11596,x11597,x11598,x11599,x115910))
% 163.24/162.98 [1160]~E(x11601,x11602)+E(f515(x11603,x11601,x11604,x11605,x11606,x11607,x11608,x11609,x116010),f515(x11603,x11602,x11604,x11605,x11606,x11607,x11608,x11609,x116010))
% 163.24/162.98 [1161]~E(x11611,x11612)+E(f515(x11613,x11614,x11611,x11615,x11616,x11617,x11618,x11619,x116110),f515(x11613,x11614,x11612,x11615,x11616,x11617,x11618,x11619,x116110))
% 163.24/162.98 [1162]~E(x11621,x11622)+E(f515(x11623,x11624,x11625,x11621,x11626,x11627,x11628,x11629,x116210),f515(x11623,x11624,x11625,x11622,x11626,x11627,x11628,x11629,x116210))
% 163.24/162.98 [1163]~E(x11631,x11632)+E(f515(x11633,x11634,x11635,x11636,x11631,x11637,x11638,x11639,x116310),f515(x11633,x11634,x11635,x11636,x11632,x11637,x11638,x11639,x116310))
% 163.24/162.98 [1164]~E(x11641,x11642)+E(f515(x11643,x11644,x11645,x11646,x11647,x11641,x11648,x11649,x116410),f515(x11643,x11644,x11645,x11646,x11647,x11642,x11648,x11649,x116410))
% 163.24/162.98 [1165]~E(x11651,x11652)+E(f515(x11653,x11654,x11655,x11656,x11657,x11658,x11651,x11659,x116510),f515(x11653,x11654,x11655,x11656,x11657,x11658,x11652,x11659,x116510))
% 163.24/162.98 [1166]~E(x11661,x11662)+E(f515(x11663,x11664,x11665,x11666,x11667,x11668,x11669,x11661,x116610),f515(x11663,x11664,x11665,x11666,x11667,x11668,x11669,x11662,x116610))
% 163.24/162.98 [1167]~E(x11671,x11672)+E(f515(x11673,x11674,x11675,x11676,x11677,x11678,x11679,x116710,x11671),f515(x11673,x11674,x11675,x11676,x11677,x11678,x11679,x116710,x11672))
% 163.24/162.98 [1168]~E(x11681,x11682)+E(f711(x11681,x11683,x11684,x11685),f711(x11682,x11683,x11684,x11685))
% 163.24/162.98 [1169]~E(x11691,x11692)+E(f711(x11693,x11691,x11694,x11695),f711(x11693,x11692,x11694,x11695))
% 163.24/162.98 [1170]~E(x11701,x11702)+E(f711(x11703,x11704,x11701,x11705),f711(x11703,x11704,x11702,x11705))
% 163.24/162.98 [1171]~E(x11711,x11712)+E(f711(x11713,x11714,x11715,x11711),f711(x11713,x11714,x11715,x11712))
% 163.24/162.98 [1172]~E(x11721,x11722)+E(f277(x11721,x11723),f277(x11722,x11723))
% 163.24/162.98 [1173]~E(x11731,x11732)+E(f277(x11733,x11731),f277(x11733,x11732))
% 163.24/162.98 [1174]~E(x11741,x11742)+E(f414(x11741,x11743),f414(x11742,x11743))
% 163.24/162.98 [1175]~E(x11751,x11752)+E(f414(x11753,x11751),f414(x11753,x11752))
% 163.24/162.98 [1176]~E(x11761,x11762)+E(f284(x11761,x11763),f284(x11762,x11763))
% 163.24/162.98 [1177]~E(x11771,x11772)+E(f284(x11773,x11771),f284(x11773,x11772))
% 163.24/162.98 [1178]~E(x11781,x11782)+E(f505(x11781,x11783,x11784),f505(x11782,x11783,x11784))
% 163.24/162.98 [1179]~E(x11791,x11792)+E(f505(x11793,x11791,x11794),f505(x11793,x11792,x11794))
% 163.24/162.98 [1180]~E(x11801,x11802)+E(f505(x11803,x11804,x11801),f505(x11803,x11804,x11802))
% 163.24/162.98 [1181]~E(x11811,x11812)+E(f588(x11811,x11813,x11814),f588(x11812,x11813,x11814))
% 163.24/162.98 [1182]~E(x11821,x11822)+E(f588(x11823,x11821,x11824),f588(x11823,x11822,x11824))
% 163.24/162.98 [1183]~E(x11831,x11832)+E(f588(x11833,x11834,x11831),f588(x11833,x11834,x11832))
% 163.24/162.98 [1184]~E(x11841,x11842)+E(f527(x11841,x11843,x11844,x11845),f527(x11842,x11843,x11844,x11845))
% 163.24/162.98 [1185]~E(x11851,x11852)+E(f527(x11853,x11851,x11854,x11855),f527(x11853,x11852,x11854,x11855))
% 163.24/162.98 [1186]~E(x11861,x11862)+E(f527(x11863,x11864,x11861,x11865),f527(x11863,x11864,x11862,x11865))
% 163.24/162.98 [1187]~E(x11871,x11872)+E(f527(x11873,x11874,x11875,x11871),f527(x11873,x11874,x11875,x11872))
% 163.24/162.98 [1188]~E(x11881,x11882)+E(f479(x11881,x11883,x11884),f479(x11882,x11883,x11884))
% 163.24/162.98 [1189]~E(x11891,x11892)+E(f479(x11893,x11891,x11894),f479(x11893,x11892,x11894))
% 163.24/162.98 [1190]~E(x11901,x11902)+E(f479(x11903,x11904,x11901),f479(x11903,x11904,x11902))
% 163.24/162.98 [1191]~E(x11911,x11912)+E(f698(x11911,x11913,x11914,x11915,x11916),f698(x11912,x11913,x11914,x11915,x11916))
% 163.24/162.98 [1192]~E(x11921,x11922)+E(f698(x11923,x11921,x11924,x11925,x11926),f698(x11923,x11922,x11924,x11925,x11926))
% 163.24/162.98 [1193]~E(x11931,x11932)+E(f698(x11933,x11934,x11931,x11935,x11936),f698(x11933,x11934,x11932,x11935,x11936))
% 163.24/162.98 [1194]~E(x11941,x11942)+E(f698(x11943,x11944,x11945,x11941,x11946),f698(x11943,x11944,x11945,x11942,x11946))
% 163.24/162.98 [1195]~E(x11951,x11952)+E(f698(x11953,x11954,x11955,x11956,x11951),f698(x11953,x11954,x11955,x11956,x11952))
% 163.24/162.98 [1196]~E(x11961,x11962)+E(f209(x11961,x11963),f209(x11962,x11963))
% 163.24/162.98 [1197]~E(x11971,x11972)+E(f209(x11973,x11971),f209(x11973,x11972))
% 163.24/162.98 [1198]~E(x11981,x11982)+E(f298(x11981,x11983,x11984,x11985,x11986),f298(x11982,x11983,x11984,x11985,x11986))
% 163.24/162.98 [1199]~E(x11991,x11992)+E(f298(x11993,x11991,x11994,x11995,x11996),f298(x11993,x11992,x11994,x11995,x11996))
% 163.24/162.98 [1200]~E(x12001,x12002)+E(f298(x12003,x12004,x12001,x12005,x12006),f298(x12003,x12004,x12002,x12005,x12006))
% 163.24/162.98 [1201]~E(x12011,x12012)+E(f298(x12013,x12014,x12015,x12011,x12016),f298(x12013,x12014,x12015,x12012,x12016))
% 163.24/162.98 [1202]~E(x12021,x12022)+E(f298(x12023,x12024,x12025,x12026,x12021),f298(x12023,x12024,x12025,x12026,x12022))
% 163.24/162.98 [1203]~E(x12031,x12032)+E(f657(x12031,x12033),f657(x12032,x12033))
% 163.24/162.98 [1204]~E(x12041,x12042)+E(f657(x12043,x12041),f657(x12043,x12042))
% 163.24/162.98 [1205]~E(x12051,x12052)+E(f528(x12051,x12053,x12054,x12055),f528(x12052,x12053,x12054,x12055))
% 163.24/162.98 [1206]~E(x12061,x12062)+E(f528(x12063,x12061,x12064,x12065),f528(x12063,x12062,x12064,x12065))
% 163.24/162.98 [1207]~E(x12071,x12072)+E(f528(x12073,x12074,x12071,x12075),f528(x12073,x12074,x12072,x12075))
% 163.24/162.98 [1208]~E(x12081,x12082)+E(f528(x12083,x12084,x12085,x12081),f528(x12083,x12084,x12085,x12082))
% 163.24/162.98 [1209]~E(x12091,x12092)+E(f689(x12091,x12093,x12094,x12095,x12096),f689(x12092,x12093,x12094,x12095,x12096))
% 163.24/162.98 [1210]~E(x12101,x12102)+E(f689(x12103,x12101,x12104,x12105,x12106),f689(x12103,x12102,x12104,x12105,x12106))
% 163.24/162.98 [1211]~E(x12111,x12112)+E(f689(x12113,x12114,x12111,x12115,x12116),f689(x12113,x12114,x12112,x12115,x12116))
% 163.24/162.98 [1212]~E(x12121,x12122)+E(f689(x12123,x12124,x12125,x12121,x12126),f689(x12123,x12124,x12125,x12122,x12126))
% 163.24/162.98 [1213]~E(x12131,x12132)+E(f689(x12133,x12134,x12135,x12136,x12131),f689(x12133,x12134,x12135,x12136,x12132))
% 163.24/162.98 [1214]~E(x12141,x12142)+E(f220(x12141,x12143,x12144,x12145),f220(x12142,x12143,x12144,x12145))
% 163.24/162.98 [1215]~E(x12151,x12152)+E(f220(x12153,x12151,x12154,x12155),f220(x12153,x12152,x12154,x12155))
% 163.24/162.98 [1216]~E(x12161,x12162)+E(f220(x12163,x12164,x12161,x12165),f220(x12163,x12164,x12162,x12165))
% 163.24/162.98 [1217]~E(x12171,x12172)+E(f220(x12173,x12174,x12175,x12171),f220(x12173,x12174,x12175,x12172))
% 163.24/162.98 [1218]~E(x12181,x12182)+E(f690(x12181,x12183,x12184,x12185,x12186),f690(x12182,x12183,x12184,x12185,x12186))
% 163.24/162.98 [1219]~E(x12191,x12192)+E(f690(x12193,x12191,x12194,x12195,x12196),f690(x12193,x12192,x12194,x12195,x12196))
% 163.24/162.98 [1220]~E(x12201,x12202)+E(f690(x12203,x12204,x12201,x12205,x12206),f690(x12203,x12204,x12202,x12205,x12206))
% 163.24/162.98 [1221]~E(x12211,x12212)+E(f690(x12213,x12214,x12215,x12211,x12216),f690(x12213,x12214,x12215,x12212,x12216))
% 163.24/162.98 [1222]~E(x12221,x12222)+E(f690(x12223,x12224,x12225,x12226,x12221),f690(x12223,x12224,x12225,x12226,x12222))
% 163.24/162.98 [1223]~E(x12231,x12232)+E(f285(x12231,x12233,x12234,x12235),f285(x12232,x12233,x12234,x12235))
% 163.24/162.98 [1224]~E(x12241,x12242)+E(f285(x12243,x12241,x12244,x12245),f285(x12243,x12242,x12244,x12245))
% 163.24/162.98 [1225]~E(x12251,x12252)+E(f285(x12253,x12254,x12251,x12255),f285(x12253,x12254,x12252,x12255))
% 163.24/162.98 [1226]~E(x12261,x12262)+E(f285(x12263,x12264,x12265,x12261),f285(x12263,x12264,x12265,x12262))
% 163.24/162.98 [1227]~E(x12271,x12272)+E(f381(x12271,x12273,x12274,x12275),f381(x12272,x12273,x12274,x12275))
% 163.24/162.98 [1228]~E(x12281,x12282)+E(f381(x12283,x12281,x12284,x12285),f381(x12283,x12282,x12284,x12285))
% 163.24/162.98 [1229]~E(x12291,x12292)+E(f381(x12293,x12294,x12291,x12295),f381(x12293,x12294,x12292,x12295))
% 163.24/162.98 [1230]~E(x12301,x12302)+E(f381(x12303,x12304,x12305,x12301),f381(x12303,x12304,x12305,x12302))
% 163.24/162.98 [1231]~E(x12311,x12312)+E(f673(x12311,x12313,x12314,x12315),f673(x12312,x12313,x12314,x12315))
% 163.24/162.98 [1232]~E(x12321,x12322)+E(f673(x12323,x12321,x12324,x12325),f673(x12323,x12322,x12324,x12325))
% 163.24/162.98 [1233]~E(x12331,x12332)+E(f673(x12333,x12334,x12331,x12335),f673(x12333,x12334,x12332,x12335))
% 163.24/162.98 [1234]~E(x12341,x12342)+E(f673(x12343,x12344,x12345,x12341),f673(x12343,x12344,x12345,x12342))
% 163.24/162.98 [1235]~E(x12351,x12352)+E(f675(x12351,x12353,x12354,x12355),f675(x12352,x12353,x12354,x12355))
% 163.24/162.98 [1236]~E(x12361,x12362)+E(f675(x12363,x12361,x12364,x12365),f675(x12363,x12362,x12364,x12365))
% 163.24/162.98 [1237]~E(x12371,x12372)+E(f675(x12373,x12374,x12371,x12375),f675(x12373,x12374,x12372,x12375))
% 163.24/162.98 [1238]~E(x12381,x12382)+E(f675(x12383,x12384,x12385,x12381),f675(x12383,x12384,x12385,x12382))
% 163.24/162.98 [1239]~E(x12391,x12392)+E(f502(x12391,x12393,x12394,x12395),f502(x12392,x12393,x12394,x12395))
% 163.24/162.98 [1240]~E(x12401,x12402)+E(f502(x12403,x12401,x12404,x12405),f502(x12403,x12402,x12404,x12405))
% 163.24/162.98 [1241]~E(x12411,x12412)+E(f502(x12413,x12414,x12411,x12415),f502(x12413,x12414,x12412,x12415))
% 163.24/162.98 [1242]~E(x12421,x12422)+E(f502(x12423,x12424,x12425,x12421),f502(x12423,x12424,x12425,x12422))
% 163.24/162.98 [1243]~E(x12431,x12432)+E(f806(x12431,x12433,x12434,x12435,x12436,x12437),f806(x12432,x12433,x12434,x12435,x12436,x12437))
% 163.24/162.98 [1244]~E(x12441,x12442)+E(f806(x12443,x12441,x12444,x12445,x12446,x12447),f806(x12443,x12442,x12444,x12445,x12446,x12447))
% 163.24/162.98 [1245]~E(x12451,x12452)+E(f806(x12453,x12454,x12451,x12455,x12456,x12457),f806(x12453,x12454,x12452,x12455,x12456,x12457))
% 163.24/162.98 [1246]~E(x12461,x12462)+E(f806(x12463,x12464,x12465,x12461,x12466,x12467),f806(x12463,x12464,x12465,x12462,x12466,x12467))
% 163.24/162.98 [1247]~E(x12471,x12472)+E(f806(x12473,x12474,x12475,x12476,x12471,x12477),f806(x12473,x12474,x12475,x12476,x12472,x12477))
% 163.24/162.98 [1248]~E(x12481,x12482)+E(f806(x12483,x12484,x12485,x12486,x12487,x12481),f806(x12483,x12484,x12485,x12486,x12487,x12482))
% 163.24/162.98 [1249]~E(x12491,x12492)+E(f436(x12491,x12493,x12494,x12495),f436(x12492,x12493,x12494,x12495))
% 163.24/162.98 [1250]~E(x12501,x12502)+E(f436(x12503,x12501,x12504,x12505),f436(x12503,x12502,x12504,x12505))
% 163.24/162.98 [1251]~E(x12511,x12512)+E(f436(x12513,x12514,x12511,x12515),f436(x12513,x12514,x12512,x12515))
% 163.24/162.98 [1252]~E(x12521,x12522)+E(f436(x12523,x12524,x12525,x12521),f436(x12523,x12524,x12525,x12522))
% 163.24/162.98 [1253]~E(x12531,x12532)+E(f729(x12531,x12533,x12534),f729(x12532,x12533,x12534))
% 163.24/162.98 [1254]~E(x12541,x12542)+E(f729(x12543,x12541,x12544),f729(x12543,x12542,x12544))
% 163.24/162.98 [1255]~E(x12551,x12552)+E(f729(x12553,x12554,x12551),f729(x12553,x12554,x12552))
% 163.24/162.98 [1256]~E(x12561,x12562)+E(f626(x12561,x12563,x12564),f626(x12562,x12563,x12564))
% 163.24/162.98 [1257]~E(x12571,x12572)+E(f626(x12573,x12571,x12574),f626(x12573,x12572,x12574))
% 163.24/162.98 [1258]~E(x12581,x12582)+E(f626(x12583,x12584,x12581),f626(x12583,x12584,x12582))
% 163.24/162.98 [1259]~E(x12591,x12592)+E(f78(x12591,x12593,x12594,x12595),f78(x12592,x12593,x12594,x12595))
% 163.24/162.98 [1260]~E(x12601,x12602)+E(f78(x12603,x12601,x12604,x12605),f78(x12603,x12602,x12604,x12605))
% 163.24/162.98 [1261]~E(x12611,x12612)+E(f78(x12613,x12614,x12611,x12615),f78(x12613,x12614,x12612,x12615))
% 163.24/162.98 [1262]~E(x12621,x12622)+E(f78(x12623,x12624,x12625,x12621),f78(x12623,x12624,x12625,x12622))
% 163.24/162.98 [1263]~E(x12631,x12632)+E(f439(x12631,x12633,x12634,x12635),f439(x12632,x12633,x12634,x12635))
% 163.24/162.98 [1264]~E(x12641,x12642)+E(f439(x12643,x12641,x12644,x12645),f439(x12643,x12642,x12644,x12645))
% 163.24/162.98 [1265]~E(x12651,x12652)+E(f439(x12653,x12654,x12651,x12655),f439(x12653,x12654,x12652,x12655))
% 163.24/162.98 [1266]~E(x12661,x12662)+E(f439(x12663,x12664,x12665,x12661),f439(x12663,x12664,x12665,x12662))
% 163.24/162.98 [1267]~E(x12671,x12672)+E(f855(x12671,x12673,x12674,x12675),f855(x12672,x12673,x12674,x12675))
% 163.24/162.98 [1268]~E(x12681,x12682)+E(f855(x12683,x12681,x12684,x12685),f855(x12683,x12682,x12684,x12685))
% 163.24/162.98 [1269]~E(x12691,x12692)+E(f855(x12693,x12694,x12691,x12695),f855(x12693,x12694,x12692,x12695))
% 163.24/162.98 [1270]~E(x12701,x12702)+E(f855(x12703,x12704,x12705,x12701),f855(x12703,x12704,x12705,x12702))
% 163.24/162.98 [1271]~E(x12711,x12712)+E(f854(x12711,x12713,x12714,x12715,x12716),f854(x12712,x12713,x12714,x12715,x12716))
% 163.24/162.98 [1272]~E(x12721,x12722)+E(f854(x12723,x12721,x12724,x12725,x12726),f854(x12723,x12722,x12724,x12725,x12726))
% 163.24/162.98 [1273]~E(x12731,x12732)+E(f854(x12733,x12734,x12731,x12735,x12736),f854(x12733,x12734,x12732,x12735,x12736))
% 163.24/162.98 [1274]~E(x12741,x12742)+E(f854(x12743,x12744,x12745,x12741,x12746),f854(x12743,x12744,x12745,x12742,x12746))
% 163.24/162.98 [1275]~E(x12751,x12752)+E(f854(x12753,x12754,x12755,x12756,x12751),f854(x12753,x12754,x12755,x12756,x12752))
% 163.24/162.98 [1276]~E(x12761,x12762)+E(f461(x12761,x12763,x12764,x12765),f461(x12762,x12763,x12764,x12765))
% 163.24/162.98 [1277]~E(x12771,x12772)+E(f461(x12773,x12771,x12774,x12775),f461(x12773,x12772,x12774,x12775))
% 163.24/162.98 [1278]~E(x12781,x12782)+E(f461(x12783,x12784,x12781,x12785),f461(x12783,x12784,x12782,x12785))
% 163.24/162.98 [1279]~E(x12791,x12792)+E(f461(x12793,x12794,x12795,x12791),f461(x12793,x12794,x12795,x12792))
% 163.24/162.98 [1280]~E(x12801,x12802)+E(f599(x12801),f599(x12802))
% 163.24/162.98 [1281]~E(x12811,x12812)+E(f735(x12811,x12813,x12814,x12815,x12816,x12817),f735(x12812,x12813,x12814,x12815,x12816,x12817))
% 163.24/162.98 [1282]~E(x12821,x12822)+E(f735(x12823,x12821,x12824,x12825,x12826,x12827),f735(x12823,x12822,x12824,x12825,x12826,x12827))
% 163.24/162.98 [1283]~E(x12831,x12832)+E(f735(x12833,x12834,x12831,x12835,x12836,x12837),f735(x12833,x12834,x12832,x12835,x12836,x12837))
% 163.24/162.98 [1284]~E(x12841,x12842)+E(f735(x12843,x12844,x12845,x12841,x12846,x12847),f735(x12843,x12844,x12845,x12842,x12846,x12847))
% 163.24/162.98 [1285]~E(x12851,x12852)+E(f735(x12853,x12854,x12855,x12856,x12851,x12857),f735(x12853,x12854,x12855,x12856,x12852,x12857))
% 163.24/162.98 [1286]~E(x12861,x12862)+E(f735(x12863,x12864,x12865,x12866,x12867,x12861),f735(x12863,x12864,x12865,x12866,x12867,x12862))
% 163.24/162.98 [1287]~E(x12871,x12872)+E(f269(x12871,x12873,x12874),f269(x12872,x12873,x12874))
% 163.24/162.98 [1288]~E(x12881,x12882)+E(f269(x12883,x12881,x12884),f269(x12883,x12882,x12884))
% 163.24/162.98 [1289]~E(x12891,x12892)+E(f269(x12893,x12894,x12891),f269(x12893,x12894,x12892))
% 163.24/162.98 [1290]~E(x12901,x12902)+E(f504(x12901,x12903,x12904),f504(x12902,x12903,x12904))
% 163.24/162.98 [1291]~E(x12911,x12912)+E(f504(x12913,x12911,x12914),f504(x12913,x12912,x12914))
% 163.24/162.98 [1292]~E(x12921,x12922)+E(f504(x12923,x12924,x12921),f504(x12923,x12924,x12922))
% 163.24/162.98 [1293]~E(x12931,x12932)+E(f843(x12931,x12933),f843(x12932,x12933))
% 163.24/162.98 [1294]~E(x12941,x12942)+E(f843(x12943,x12941),f843(x12943,x12942))
% 163.24/162.98 [1295]~E(x12951,x12952)+E(f802(x12951,x12953,x12954,x12955),f802(x12952,x12953,x12954,x12955))
% 163.24/162.98 [1296]~E(x12961,x12962)+E(f802(x12963,x12961,x12964,x12965),f802(x12963,x12962,x12964,x12965))
% 163.24/162.98 [1297]~E(x12971,x12972)+E(f802(x12973,x12974,x12971,x12975),f802(x12973,x12974,x12972,x12975))
% 163.24/162.98 [1298]~E(x12981,x12982)+E(f802(x12983,x12984,x12985,x12981),f802(x12983,x12984,x12985,x12982))
% 163.24/162.98 [1299]~E(x12991,x12992)+E(f744(x12991,x12993,x12994),f744(x12992,x12993,x12994))
% 163.24/162.98 [1300]~E(x13001,x13002)+E(f744(x13003,x13001,x13004),f744(x13003,x13002,x13004))
% 163.24/162.98 [1301]~E(x13011,x13012)+E(f744(x13013,x13014,x13011),f744(x13013,x13014,x13012))
% 163.24/162.98 [1302]~E(x13021,x13022)+E(f216(x13021,x13023,x13024,x13025),f216(x13022,x13023,x13024,x13025))
% 163.24/162.98 [1303]~E(x13031,x13032)+E(f216(x13033,x13031,x13034,x13035),f216(x13033,x13032,x13034,x13035))
% 163.24/162.98 [1304]~E(x13041,x13042)+E(f216(x13043,x13044,x13041,x13045),f216(x13043,x13044,x13042,x13045))
% 163.24/162.98 [1305]~E(x13051,x13052)+E(f216(x13053,x13054,x13055,x13051),f216(x13053,x13054,x13055,x13052))
% 163.24/162.98 [1306]~E(x13061,x13062)+E(f857(x13061,x13063,x13064,x13065,x13066,x13067),f857(x13062,x13063,x13064,x13065,x13066,x13067))
% 163.24/162.98 [1307]~E(x13071,x13072)+E(f857(x13073,x13071,x13074,x13075,x13076,x13077),f857(x13073,x13072,x13074,x13075,x13076,x13077))
% 163.24/162.98 [1308]~E(x13081,x13082)+E(f857(x13083,x13084,x13081,x13085,x13086,x13087),f857(x13083,x13084,x13082,x13085,x13086,x13087))
% 163.24/162.98 [1309]~E(x13091,x13092)+E(f857(x13093,x13094,x13095,x13091,x13096,x13097),f857(x13093,x13094,x13095,x13092,x13096,x13097))
% 163.24/162.98 [1310]~E(x13101,x13102)+E(f857(x13103,x13104,x13105,x13106,x13101,x13107),f857(x13103,x13104,x13105,x13106,x13102,x13107))
% 163.24/162.98 [1311]~E(x13111,x13112)+E(f857(x13113,x13114,x13115,x13116,x13117,x13111),f857(x13113,x13114,x13115,x13116,x13117,x13112))
% 163.24/162.98 [1312]~E(x13121,x13122)+E(f210(x13121),f210(x13122))
% 163.24/162.98 [1313]~E(x13131,x13132)+E(f582(x13131,x13133,x13134),f582(x13132,x13133,x13134))
% 163.24/162.98 [1314]~E(x13141,x13142)+E(f582(x13143,x13141,x13144),f582(x13143,x13142,x13144))
% 163.24/162.98 [1315]~E(x13151,x13152)+E(f582(x13153,x13154,x13151),f582(x13153,x13154,x13152))
% 163.24/162.98 [1316]~E(x13161,x13162)+E(f202(x13161,x13163),f202(x13162,x13163))
% 163.24/162.98 [1317]~E(x13171,x13172)+E(f202(x13173,x13171),f202(x13173,x13172))
% 163.24/162.98 [1318]~E(x13181,x13182)+E(f807(x13181,x13183,x13184,x13185,x13186,x13187),f807(x13182,x13183,x13184,x13185,x13186,x13187))
% 163.24/162.98 [1319]~E(x13191,x13192)+E(f807(x13193,x13191,x13194,x13195,x13196,x13197),f807(x13193,x13192,x13194,x13195,x13196,x13197))
% 163.24/162.98 [1320]~E(x13201,x13202)+E(f807(x13203,x13204,x13201,x13205,x13206,x13207),f807(x13203,x13204,x13202,x13205,x13206,x13207))
% 163.24/162.98 [1321]~E(x13211,x13212)+E(f807(x13213,x13214,x13215,x13211,x13216,x13217),f807(x13213,x13214,x13215,x13212,x13216,x13217))
% 163.24/162.98 [1322]~E(x13221,x13222)+E(f807(x13223,x13224,x13225,x13226,x13221,x13227),f807(x13223,x13224,x13225,x13226,x13222,x13227))
% 163.24/162.98 [1323]~E(x13231,x13232)+E(f807(x13233,x13234,x13235,x13236,x13237,x13231),f807(x13233,x13234,x13235,x13236,x13237,x13232))
% 163.24/162.98 [1324]~E(x13241,x13242)+E(f586(x13241,x13243,x13244),f586(x13242,x13243,x13244))
% 163.24/162.98 [1325]~E(x13251,x13252)+E(f586(x13253,x13251,x13254),f586(x13253,x13252,x13254))
% 163.24/162.98 [1326]~E(x13261,x13262)+E(f586(x13263,x13264,x13261),f586(x13263,x13264,x13262))
% 163.24/162.98 [1327]~E(x13271,x13272)+E(f747(x13271,x13273,x13274),f747(x13272,x13273,x13274))
% 163.24/162.98 [1328]~E(x13281,x13282)+E(f747(x13283,x13281,x13284),f747(x13283,x13282,x13284))
% 163.24/162.98 [1329]~E(x13291,x13292)+E(f747(x13293,x13294,x13291),f747(x13293,x13294,x13292))
% 163.24/162.98 [1330]~E(x13301,x13302)+E(f556(x13301,x13303),f556(x13302,x13303))
% 163.24/162.98 [1331]~E(x13311,x13312)+E(f556(x13313,x13311),f556(x13313,x13312))
% 163.24/162.98 [1332]~E(x13321,x13322)+E(f503(x13321,x13323,x13324,x13325),f503(x13322,x13323,x13324,x13325))
% 163.24/162.98 [1333]~E(x13331,x13332)+E(f503(x13333,x13331,x13334,x13335),f503(x13333,x13332,x13334,x13335))
% 163.24/162.98 [1334]~E(x13341,x13342)+E(f503(x13343,x13344,x13341,x13345),f503(x13343,x13344,x13342,x13345))
% 163.24/162.98 [1335]~E(x13351,x13352)+E(f503(x13353,x13354,x13355,x13351),f503(x13353,x13354,x13355,x13352))
% 163.24/162.98 [1336]~E(x13361,x13362)+E(f659(x13361,x13363,x13364),f659(x13362,x13363,x13364))
% 163.24/162.98 [1337]~E(x13371,x13372)+E(f659(x13373,x13371,x13374),f659(x13373,x13372,x13374))
% 163.24/162.98 [1338]~E(x13381,x13382)+E(f659(x13383,x13384,x13381),f659(x13383,x13384,x13382))
% 163.24/162.98 [1339]~E(x13391,x13392)+E(f645(x13391,x13393),f645(x13392,x13393))
% 163.24/162.98 [1340]~E(x13401,x13402)+E(f645(x13403,x13401),f645(x13403,x13402))
% 163.24/162.98 [1341]~E(x13411,x13412)+E(f359(x13411,x13413,x13414,x13415,x13416,x13417),f359(x13412,x13413,x13414,x13415,x13416,x13417))
% 163.24/162.98 [1342]~E(x13421,x13422)+E(f359(x13423,x13421,x13424,x13425,x13426,x13427),f359(x13423,x13422,x13424,x13425,x13426,x13427))
% 163.24/162.98 [1343]~E(x13431,x13432)+E(f359(x13433,x13434,x13431,x13435,x13436,x13437),f359(x13433,x13434,x13432,x13435,x13436,x13437))
% 163.24/162.98 [1344]~E(x13441,x13442)+E(f359(x13443,x13444,x13445,x13441,x13446,x13447),f359(x13443,x13444,x13445,x13442,x13446,x13447))
% 163.24/162.98 [1345]~E(x13451,x13452)+E(f359(x13453,x13454,x13455,x13456,x13451,x13457),f359(x13453,x13454,x13455,x13456,x13452,x13457))
% 163.24/162.98 [1346]~E(x13461,x13462)+E(f359(x13463,x13464,x13465,x13466,x13467,x13461),f359(x13463,x13464,x13465,x13466,x13467,x13462))
% 163.24/162.98 [1347]~E(x13471,x13472)+E(f292(x13471,x13473),f292(x13472,x13473))
% 163.24/162.98 [1348]~E(x13481,x13482)+E(f292(x13483,x13481),f292(x13483,x13482))
% 163.24/162.98 [1349]~E(x13491,x13492)+E(f342(x13491),f342(x13492))
% 163.24/162.98 [1350]~E(x13501,x13502)+E(f755(x13501,x13503,x13504,x13505,x13506,x13507,x13508),f755(x13502,x13503,x13504,x13505,x13506,x13507,x13508))
% 163.24/162.98 [1351]~E(x13511,x13512)+E(f755(x13513,x13511,x13514,x13515,x13516,x13517,x13518),f755(x13513,x13512,x13514,x13515,x13516,x13517,x13518))
% 163.24/162.98 [1352]~E(x13521,x13522)+E(f755(x13523,x13524,x13521,x13525,x13526,x13527,x13528),f755(x13523,x13524,x13522,x13525,x13526,x13527,x13528))
% 163.24/162.98 [1353]~E(x13531,x13532)+E(f755(x13533,x13534,x13535,x13531,x13536,x13537,x13538),f755(x13533,x13534,x13535,x13532,x13536,x13537,x13538))
% 163.24/162.98 [1354]~E(x13541,x13542)+E(f755(x13543,x13544,x13545,x13546,x13541,x13547,x13548),f755(x13543,x13544,x13545,x13546,x13542,x13547,x13548))
% 163.24/162.98 [1355]~E(x13551,x13552)+E(f755(x13553,x13554,x13555,x13556,x13557,x13551,x13558),f755(x13553,x13554,x13555,x13556,x13557,x13552,x13558))
% 163.24/162.98 [1356]~E(x13561,x13562)+E(f755(x13563,x13564,x13565,x13566,x13567,x13568,x13561),f755(x13563,x13564,x13565,x13566,x13567,x13568,x13562))
% 163.24/162.98 [1357]~E(x13571,x13572)+E(f810(x13571,x13573,x13574),f810(x13572,x13573,x13574))
% 163.24/162.98 [1358]~E(x13581,x13582)+E(f810(x13583,x13581,x13584),f810(x13583,x13582,x13584))
% 163.24/162.98 [1359]~E(x13591,x13592)+E(f810(x13593,x13594,x13591),f810(x13593,x13594,x13592))
% 163.24/162.98 [1360]~E(x13601,x13602)+E(f516(x13601,x13603,x13604),f516(x13602,x13603,x13604))
% 163.24/162.98 [1361]~E(x13611,x13612)+E(f516(x13613,x13611,x13614),f516(x13613,x13612,x13614))
% 163.24/162.98 [1362]~E(x13621,x13622)+E(f516(x13623,x13624,x13621),f516(x13623,x13624,x13622))
% 163.24/162.98 [1363]~E(x13631,x13632)+E(f221(x13631,x13633,x13634,x13635,x13636,x13637,x13638),f221(x13632,x13633,x13634,x13635,x13636,x13637,x13638))
% 163.24/162.98 [1364]~E(x13641,x13642)+E(f221(x13643,x13641,x13644,x13645,x13646,x13647,x13648),f221(x13643,x13642,x13644,x13645,x13646,x13647,x13648))
% 163.24/162.98 [1365]~E(x13651,x13652)+E(f221(x13653,x13654,x13651,x13655,x13656,x13657,x13658),f221(x13653,x13654,x13652,x13655,x13656,x13657,x13658))
% 163.24/162.98 [1366]~E(x13661,x13662)+E(f221(x13663,x13664,x13665,x13661,x13666,x13667,x13668),f221(x13663,x13664,x13665,x13662,x13666,x13667,x13668))
% 163.24/162.98 [1367]~E(x13671,x13672)+E(f221(x13673,x13674,x13675,x13676,x13671,x13677,x13678),f221(x13673,x13674,x13675,x13676,x13672,x13677,x13678))
% 163.24/162.98 [1368]~E(x13681,x13682)+E(f221(x13683,x13684,x13685,x13686,x13687,x13681,x13688),f221(x13683,x13684,x13685,x13686,x13687,x13682,x13688))
% 163.24/162.98 [1369]~E(x13691,x13692)+E(f221(x13693,x13694,x13695,x13696,x13697,x13698,x13691),f221(x13693,x13694,x13695,x13696,x13697,x13698,x13692))
% 163.24/162.98 [1370]~E(x13701,x13702)+E(f754(x13701,x13703,x13704,x13705,x13706,x13707,x13708),f754(x13702,x13703,x13704,x13705,x13706,x13707,x13708))
% 163.24/162.98 [1371]~E(x13711,x13712)+E(f754(x13713,x13711,x13714,x13715,x13716,x13717,x13718),f754(x13713,x13712,x13714,x13715,x13716,x13717,x13718))
% 163.24/162.98 [1372]~E(x13721,x13722)+E(f754(x13723,x13724,x13721,x13725,x13726,x13727,x13728),f754(x13723,x13724,x13722,x13725,x13726,x13727,x13728))
% 163.24/162.98 [1373]~E(x13731,x13732)+E(f754(x13733,x13734,x13735,x13731,x13736,x13737,x13738),f754(x13733,x13734,x13735,x13732,x13736,x13737,x13738))
% 163.24/162.98 [1374]~E(x13741,x13742)+E(f754(x13743,x13744,x13745,x13746,x13741,x13747,x13748),f754(x13743,x13744,x13745,x13746,x13742,x13747,x13748))
% 163.24/162.98 [1375]~E(x13751,x13752)+E(f754(x13753,x13754,x13755,x13756,x13757,x13751,x13758),f754(x13753,x13754,x13755,x13756,x13757,x13752,x13758))
% 163.24/162.98 [1376]~E(x13761,x13762)+E(f754(x13763,x13764,x13765,x13766,x13767,x13768,x13761),f754(x13763,x13764,x13765,x13766,x13767,x13768,x13762))
% 163.24/162.98 [1377]~E(x13771,x13772)+E(f351(x13771,x13773,x13774,x13775),f351(x13772,x13773,x13774,x13775))
% 163.24/162.98 [1378]~E(x13781,x13782)+E(f351(x13783,x13781,x13784,x13785),f351(x13783,x13782,x13784,x13785))
% 163.24/162.98 [1379]~E(x13791,x13792)+E(f351(x13793,x13794,x13791,x13795),f351(x13793,x13794,x13792,x13795))
% 163.24/162.98 [1380]~E(x13801,x13802)+E(f351(x13803,x13804,x13805,x13801),f351(x13803,x13804,x13805,x13802))
% 163.24/162.98 [1381]~E(x13811,x13812)+E(f780(x13811,x13813,x13814,x13815,x13816),f780(x13812,x13813,x13814,x13815,x13816))
% 163.24/162.98 [1382]~E(x13821,x13822)+E(f780(x13823,x13821,x13824,x13825,x13826),f780(x13823,x13822,x13824,x13825,x13826))
% 163.24/162.98 [1383]~E(x13831,x13832)+E(f780(x13833,x13834,x13831,x13835,x13836),f780(x13833,x13834,x13832,x13835,x13836))
% 163.24/162.98 [1384]~E(x13841,x13842)+E(f780(x13843,x13844,x13845,x13841,x13846),f780(x13843,x13844,x13845,x13842,x13846))
% 163.24/162.98 [1385]~E(x13851,x13852)+E(f780(x13853,x13854,x13855,x13856,x13851),f780(x13853,x13854,x13855,x13856,x13852))
% 163.24/162.98 [1386]~E(x13861,x13862)+E(f123(x13861,x13863,x13864),f123(x13862,x13863,x13864))
% 163.24/162.98 [1387]~E(x13871,x13872)+E(f123(x13873,x13871,x13874),f123(x13873,x13872,x13874))
% 163.24/162.98 [1388]~E(x13881,x13882)+E(f123(x13883,x13884,x13881),f123(x13883,x13884,x13882))
% 163.24/162.98 [1389]~E(x13891,x13892)+E(f852(x13891,x13893,x13894),f852(x13892,x13893,x13894))
% 163.24/162.98 [1390]~E(x13901,x13902)+E(f852(x13903,x13901,x13904),f852(x13903,x13902,x13904))
% 163.24/162.98 [1391]~E(x13911,x13912)+E(f852(x13913,x13914,x13911),f852(x13913,x13914,x13912))
% 163.24/162.98 [1392]~E(x13921,x13922)+E(f168(x13921,x13923,x13924),f168(x13922,x13923,x13924))
% 163.24/162.98 [1393]~E(x13931,x13932)+E(f168(x13933,x13931,x13934),f168(x13933,x13932,x13934))
% 163.24/162.98 [1394]~E(x13941,x13942)+E(f168(x13943,x13944,x13941),f168(x13943,x13944,x13942))
% 163.24/162.98 [1395]~E(x13951,x13952)+E(f535(x13951,x13953),f535(x13952,x13953))
% 163.24/162.98 [1396]~E(x13961,x13962)+E(f535(x13963,x13961),f535(x13963,x13962))
% 163.24/162.98 [1397]~E(x13971,x13972)+E(f534(x13971,x13973,x13974,x13975,x13976,x13977,x13978,x13979),f534(x13972,x13973,x13974,x13975,x13976,x13977,x13978,x13979))
% 163.24/162.98 [1398]~E(x13981,x13982)+E(f534(x13983,x13981,x13984,x13985,x13986,x13987,x13988,x13989),f534(x13983,x13982,x13984,x13985,x13986,x13987,x13988,x13989))
% 163.24/162.98 [1399]~E(x13991,x13992)+E(f534(x13993,x13994,x13991,x13995,x13996,x13997,x13998,x13999),f534(x13993,x13994,x13992,x13995,x13996,x13997,x13998,x13999))
% 163.24/162.98 [1400]~E(x14001,x14002)+E(f534(x14003,x14004,x14005,x14001,x14006,x14007,x14008,x14009),f534(x14003,x14004,x14005,x14002,x14006,x14007,x14008,x14009))
% 163.24/162.98 [1401]~E(x14011,x14012)+E(f534(x14013,x14014,x14015,x14016,x14011,x14017,x14018,x14019),f534(x14013,x14014,x14015,x14016,x14012,x14017,x14018,x14019))
% 163.24/162.98 [1402]~E(x14021,x14022)+E(f534(x14023,x14024,x14025,x14026,x14027,x14021,x14028,x14029),f534(x14023,x14024,x14025,x14026,x14027,x14022,x14028,x14029))
% 163.24/162.98 [1403]~E(x14031,x14032)+E(f534(x14033,x14034,x14035,x14036,x14037,x14038,x14031,x14039),f534(x14033,x14034,x14035,x14036,x14037,x14038,x14032,x14039))
% 163.24/162.98 [1404]~E(x14041,x14042)+E(f534(x14043,x14044,x14045,x14046,x14047,x14048,x14049,x14041),f534(x14043,x14044,x14045,x14046,x14047,x14048,x14049,x14042))
% 163.24/162.98 [1405]~E(x14051,x14052)+E(f475(x14051,x14053,x14054),f475(x14052,x14053,x14054))
% 163.24/162.98 [1406]~E(x14061,x14062)+E(f475(x14063,x14061,x14064),f475(x14063,x14062,x14064))
% 163.24/162.98 [1407]~E(x14071,x14072)+E(f475(x14073,x14074,x14071),f475(x14073,x14074,x14072))
% 163.24/162.98 [1408]~E(x14081,x14082)+E(f243(x14081,x14083,x14084),f243(x14082,x14083,x14084))
% 163.24/162.98 [1409]~E(x14091,x14092)+E(f243(x14093,x14091,x14094),f243(x14093,x14092,x14094))
% 163.24/162.98 [1410]~E(x14101,x14102)+E(f243(x14103,x14104,x14101),f243(x14103,x14104,x14102))
% 163.24/162.98 [1411]~E(x14111,x14112)+E(f650(x14111,x14113,x14114),f650(x14112,x14113,x14114))
% 163.24/162.98 [1412]~E(x14121,x14122)+E(f650(x14123,x14121,x14124),f650(x14123,x14122,x14124))
% 163.24/162.98 [1413]~E(x14131,x14132)+E(f650(x14133,x14134,x14131),f650(x14133,x14134,x14132))
% 163.24/162.98 [1414]~E(x14141,x14142)+E(f798(x14141,x14143,x14144),f798(x14142,x14143,x14144))
% 163.24/162.98 [1415]~E(x14151,x14152)+E(f798(x14153,x14151,x14154),f798(x14153,x14152,x14154))
% 163.24/162.98 [1416]~E(x14161,x14162)+E(f798(x14163,x14164,x14161),f798(x14163,x14164,x14162))
% 163.24/162.98 [1417]~E(x14171,x14172)+E(f125(x14171,x14173,x14174,x14175),f125(x14172,x14173,x14174,x14175))
% 163.24/162.98 [1418]~E(x14181,x14182)+E(f125(x14183,x14181,x14184,x14185),f125(x14183,x14182,x14184,x14185))
% 163.24/162.98 [1419]~E(x14191,x14192)+E(f125(x14193,x14194,x14191,x14195),f125(x14193,x14194,x14192,x14195))
% 163.24/162.98 [1420]~E(x14201,x14202)+E(f125(x14203,x14204,x14205,x14201),f125(x14203,x14204,x14205,x14202))
% 163.24/162.98 [1421]~E(x14211,x14212)+E(f782(x14211,x14213,x14214,x14215,x14216),f782(x14212,x14213,x14214,x14215,x14216))
% 163.24/162.98 [1422]~E(x14221,x14222)+E(f782(x14223,x14221,x14224,x14225,x14226),f782(x14223,x14222,x14224,x14225,x14226))
% 163.24/162.98 [1423]~E(x14231,x14232)+E(f782(x14233,x14234,x14231,x14235,x14236),f782(x14233,x14234,x14232,x14235,x14236))
% 163.24/162.98 [1424]~E(x14241,x14242)+E(f782(x14243,x14244,x14245,x14241,x14246),f782(x14243,x14244,x14245,x14242,x14246))
% 163.24/162.98 [1425]~E(x14251,x14252)+E(f782(x14253,x14254,x14255,x14256,x14251),f782(x14253,x14254,x14255,x14256,x14252))
% 163.24/162.98 [1426]~E(x14261,x14262)+E(f457(x14261,x14263,x14264,x14265),f457(x14262,x14263,x14264,x14265))
% 163.24/162.98 [1427]~E(x14271,x14272)+E(f457(x14273,x14271,x14274,x14275),f457(x14273,x14272,x14274,x14275))
% 163.24/162.98 [1428]~E(x14281,x14282)+E(f457(x14283,x14284,x14281,x14285),f457(x14283,x14284,x14282,x14285))
% 163.24/162.98 [1429]~E(x14291,x14292)+E(f457(x14293,x14294,x14295,x14291),f457(x14293,x14294,x14295,x14292))
% 163.24/162.98 [1430]~E(x14301,x14302)+E(f408(x14301,x14303,x14304,x14305),f408(x14302,x14303,x14304,x14305))
% 163.24/162.98 [1431]~E(x14311,x14312)+E(f408(x14313,x14311,x14314,x14315),f408(x14313,x14312,x14314,x14315))
% 163.24/162.98 [1432]~E(x14321,x14322)+E(f408(x14323,x14324,x14321,x14325),f408(x14323,x14324,x14322,x14325))
% 163.24/162.98 [1433]~E(x14331,x14332)+E(f408(x14333,x14334,x14335,x14331),f408(x14333,x14334,x14335,x14332))
% 163.24/162.98 [1434]~E(x14341,x14342)+E(f398(x14341,x14343,x14344),f398(x14342,x14343,x14344))
% 163.24/162.98 [1435]~E(x14351,x14352)+E(f398(x14353,x14351,x14354),f398(x14353,x14352,x14354))
% 163.24/162.98 [1436]~E(x14361,x14362)+E(f398(x14363,x14364,x14361),f398(x14363,x14364,x14362))
% 163.24/162.98 [1437]~E(x14371,x14372)+E(f808(x14371,x14373,x14374,x14375,x14376,x14377),f808(x14372,x14373,x14374,x14375,x14376,x14377))
% 163.24/162.98 [1438]~E(x14381,x14382)+E(f808(x14383,x14381,x14384,x14385,x14386,x14387),f808(x14383,x14382,x14384,x14385,x14386,x14387))
% 163.24/162.98 [1439]~E(x14391,x14392)+E(f808(x14393,x14394,x14391,x14395,x14396,x14397),f808(x14393,x14394,x14392,x14395,x14396,x14397))
% 163.24/162.98 [1440]~E(x14401,x14402)+E(f808(x14403,x14404,x14405,x14401,x14406,x14407),f808(x14403,x14404,x14405,x14402,x14406,x14407))
% 163.24/162.98 [1441]~E(x14411,x14412)+E(f808(x14413,x14414,x14415,x14416,x14411,x14417),f808(x14413,x14414,x14415,x14416,x14412,x14417))
% 163.24/162.98 [1442]~E(x14421,x14422)+E(f808(x14423,x14424,x14425,x14426,x14427,x14421),f808(x14423,x14424,x14425,x14426,x14427,x14422))
% 163.24/162.98 [1443]~E(x14431,x14432)+E(f164(x14431,x14433,x14434,x14435),f164(x14432,x14433,x14434,x14435))
% 163.24/162.98 [1444]~E(x14441,x14442)+E(f164(x14443,x14441,x14444,x14445),f164(x14443,x14442,x14444,x14445))
% 163.24/162.98 [1445]~E(x14451,x14452)+E(f164(x14453,x14454,x14451,x14455),f164(x14453,x14454,x14452,x14455))
% 163.24/162.98 [1446]~E(x14461,x14462)+E(f164(x14463,x14464,x14465,x14461),f164(x14463,x14464,x14465,x14462))
% 163.24/162.98 [1447]~E(x14471,x14472)+E(f618(x14471,x14473,x14474,x14475),f618(x14472,x14473,x14474,x14475))
% 163.24/162.98 [1448]~E(x14481,x14482)+E(f618(x14483,x14481,x14484,x14485),f618(x14483,x14482,x14484,x14485))
% 163.24/162.98 [1449]~E(x14491,x14492)+E(f618(x14493,x14494,x14491,x14495),f618(x14493,x14494,x14492,x14495))
% 163.24/162.98 [1450]~E(x14501,x14502)+E(f618(x14503,x14504,x14505,x14501),f618(x14503,x14504,x14505,x14502))
% 163.24/162.98 [1451]~E(x14511,x14512)+E(f433(x14511,x14513,x14514,x14515),f433(x14512,x14513,x14514,x14515))
% 163.24/162.98 [1452]~E(x14521,x14522)+E(f433(x14523,x14521,x14524,x14525),f433(x14523,x14522,x14524,x14525))
% 163.24/162.98 [1453]~E(x14531,x14532)+E(f433(x14533,x14534,x14531,x14535),f433(x14533,x14534,x14532,x14535))
% 163.24/162.98 [1454]~E(x14541,x14542)+E(f433(x14543,x14544,x14545,x14541),f433(x14543,x14544,x14545,x14542))
% 163.24/162.98 [1455]~E(x14551,x14552)+E(f423(x14551,x14553),f423(x14552,x14553))
% 163.24/162.98 [1456]~E(x14561,x14562)+E(f423(x14563,x14561),f423(x14563,x14562))
% 163.24/162.98 [1457]~E(x14571,x14572)+E(f720(x14571,x14573,x14574,x14575),f720(x14572,x14573,x14574,x14575))
% 163.24/162.98 [1458]~E(x14581,x14582)+E(f720(x14583,x14581,x14584,x14585),f720(x14583,x14582,x14584,x14585))
% 163.24/162.98 [1459]~E(x14591,x14592)+E(f720(x14593,x14594,x14591,x14595),f720(x14593,x14594,x14592,x14595))
% 163.24/162.98 [1460]~E(x14601,x14602)+E(f720(x14603,x14604,x14605,x14601),f720(x14603,x14604,x14605,x14602))
% 163.24/162.98 [1461]~E(x14611,x14612)+E(f228(x14611,x14613),f228(x14612,x14613))
% 163.24/162.98 [1462]~E(x14621,x14622)+E(f228(x14623,x14621),f228(x14623,x14622))
% 163.24/162.98 [1463]~E(x14631,x14632)+E(f207(x14631,x14633,x14634,x14635),f207(x14632,x14633,x14634,x14635))
% 163.24/162.98 [1464]~E(x14641,x14642)+E(f207(x14643,x14641,x14644,x14645),f207(x14643,x14642,x14644,x14645))
% 163.24/162.98 [1465]~E(x14651,x14652)+E(f207(x14653,x14654,x14651,x14655),f207(x14653,x14654,x14652,x14655))
% 163.24/162.98 [1466]~E(x14661,x14662)+E(f207(x14663,x14664,x14665,x14661),f207(x14663,x14664,x14665,x14662))
% 163.24/162.98 [1467]~E(x14671,x14672)+E(f141(x14671,x14673,x14674),f141(x14672,x14673,x14674))
% 163.24/162.98 [1468]~E(x14681,x14682)+E(f141(x14683,x14681,x14684),f141(x14683,x14682,x14684))
% 163.24/162.98 [1469]~E(x14691,x14692)+E(f141(x14693,x14694,x14691),f141(x14693,x14694,x14692))
% 163.24/162.98 [1470]~E(x14701,x14702)+E(f186(x14701,x14703,x14704),f186(x14702,x14703,x14704))
% 163.24/162.98 [1471]~E(x14711,x14712)+E(f186(x14713,x14711,x14714),f186(x14713,x14712,x14714))
% 163.24/162.98 [1472]~E(x14721,x14722)+E(f186(x14723,x14724,x14721),f186(x14723,x14724,x14722))
% 163.24/162.98 [1473]~E(x14731,x14732)+E(f445(x14731,x14733),f445(x14732,x14733))
% 163.24/162.98 [1474]~E(x14741,x14742)+E(f445(x14743,x14741),f445(x14743,x14742))
% 163.24/162.98 [1475]~E(x14751,x14752)+E(f418(x14751,x14753,x14754,x14755),f418(x14752,x14753,x14754,x14755))
% 163.24/162.98 [1476]~E(x14761,x14762)+E(f418(x14763,x14761,x14764,x14765),f418(x14763,x14762,x14764,x14765))
% 163.24/162.98 [1477]~E(x14771,x14772)+E(f418(x14773,x14774,x14771,x14775),f418(x14773,x14774,x14772,x14775))
% 163.24/162.98 [1478]~E(x14781,x14782)+E(f418(x14783,x14784,x14785,x14781),f418(x14783,x14784,x14785,x14782))
% 163.24/162.98 [1479]~E(x14791,x14792)+E(f871(x14791,x14793,x14794,x14795,x14796),f871(x14792,x14793,x14794,x14795,x14796))
% 163.24/162.98 [1480]~E(x14801,x14802)+E(f871(x14803,x14801,x14804,x14805,x14806),f871(x14803,x14802,x14804,x14805,x14806))
% 163.24/162.98 [1481]~E(x14811,x14812)+E(f871(x14813,x14814,x14811,x14815,x14816),f871(x14813,x14814,x14812,x14815,x14816))
% 163.24/162.98 [1482]~E(x14821,x14822)+E(f871(x14823,x14824,x14825,x14821,x14826),f871(x14823,x14824,x14825,x14822,x14826))
% 163.24/162.98 [1483]~E(x14831,x14832)+E(f871(x14833,x14834,x14835,x14836,x14831),f871(x14833,x14834,x14835,x14836,x14832))
% 163.24/162.98 [1484]~E(x14841,x14842)+E(f147(x14841,x14843),f147(x14842,x14843))
% 163.24/162.98 [1485]~E(x14851,x14852)+E(f147(x14853,x14851),f147(x14853,x14852))
% 163.24/162.98 [1486]~E(x14861,x14862)+E(f522(x14861,x14863,x14864,x14865,x14866),f522(x14862,x14863,x14864,x14865,x14866))
% 163.24/162.98 [1487]~E(x14871,x14872)+E(f522(x14873,x14871,x14874,x14875,x14876),f522(x14873,x14872,x14874,x14875,x14876))
% 163.24/162.98 [1488]~E(x14881,x14882)+E(f522(x14883,x14884,x14881,x14885,x14886),f522(x14883,x14884,x14882,x14885,x14886))
% 163.24/162.98 [1489]~E(x14891,x14892)+E(f522(x14893,x14894,x14895,x14891,x14896),f522(x14893,x14894,x14895,x14892,x14896))
% 163.24/162.98 [1490]~E(x14901,x14902)+E(f522(x14903,x14904,x14905,x14906,x14901),f522(x14903,x14904,x14905,x14906,x14902))
% 163.24/162.98 [1491]~E(x14911,x14912)+E(f653(x14911,x14913,x14914),f653(x14912,x14913,x14914))
% 163.24/162.98 [1492]~E(x14921,x14922)+E(f653(x14923,x14921,x14924),f653(x14923,x14922,x14924))
% 163.24/162.98 [1493]~E(x14931,x14932)+E(f653(x14933,x14934,x14931),f653(x14933,x14934,x14932))
% 163.24/162.98 [1494]~E(x14941,x14942)+E(f427(x14941,x14943),f427(x14942,x14943))
% 163.24/162.98 [1495]~E(x14951,x14952)+E(f427(x14953,x14951),f427(x14953,x14952))
% 163.24/162.98 [1496]~E(x14961,x14962)+E(f797(x14961,x14963,x14964),f797(x14962,x14963,x14964))
% 163.24/162.98 [1497]~E(x14971,x14972)+E(f797(x14973,x14971,x14974),f797(x14973,x14972,x14974))
% 163.24/162.98 [1498]~E(x14981,x14982)+E(f797(x14983,x14984,x14981),f797(x14983,x14984,x14982))
% 163.24/162.98 [1499]~E(x14991,x14992)+E(f275(x14991,x14993,x14994,x14995,x14996),f275(x14992,x14993,x14994,x14995,x14996))
% 163.24/162.98 [1500]~E(x15001,x15002)+E(f275(x15003,x15001,x15004,x15005,x15006),f275(x15003,x15002,x15004,x15005,x15006))
% 163.24/162.98 [1501]~E(x15011,x15012)+E(f275(x15013,x15014,x15011,x15015,x15016),f275(x15013,x15014,x15012,x15015,x15016))
% 163.24/162.98 [1502]~E(x15021,x15022)+E(f275(x15023,x15024,x15025,x15021,x15026),f275(x15023,x15024,x15025,x15022,x15026))
% 163.24/162.98 [1503]~E(x15031,x15032)+E(f275(x15033,x15034,x15035,x15036,x15031),f275(x15033,x15034,x15035,x15036,x15032))
% 163.24/162.98 [1504]~E(x15041,x15042)+E(f97(x15041,x15043,x15044,x15045),f97(x15042,x15043,x15044,x15045))
% 163.24/162.98 [1505]~E(x15051,x15052)+E(f97(x15053,x15051,x15054,x15055),f97(x15053,x15052,x15054,x15055))
% 163.24/162.98 [1506]~E(x15061,x15062)+E(f97(x15063,x15064,x15061,x15065),f97(x15063,x15064,x15062,x15065))
% 163.24/162.98 [1507]~E(x15071,x15072)+E(f97(x15073,x15074,x15075,x15071),f97(x15073,x15074,x15075,x15072))
% 163.24/162.98 [1508]~E(x15081,x15082)+E(f770(x15081,x15083),f770(x15082,x15083))
% 163.24/162.98 [1509]~E(x15091,x15092)+E(f770(x15093,x15091),f770(x15093,x15092))
% 163.24/162.98 [1510]~E(x15101,x15102)+E(f379(x15101,x15103,x15104,x15105),f379(x15102,x15103,x15104,x15105))
% 163.24/162.98 [1511]~E(x15111,x15112)+E(f379(x15113,x15111,x15114,x15115),f379(x15113,x15112,x15114,x15115))
% 163.24/162.98 [1512]~E(x15121,x15122)+E(f379(x15123,x15124,x15121,x15125),f379(x15123,x15124,x15122,x15125))
% 163.24/162.98 [1513]~E(x15131,x15132)+E(f379(x15133,x15134,x15135,x15131),f379(x15133,x15134,x15135,x15132))
% 163.24/162.98 [1514]~E(x15141,x15142)+E(f573(x15141,x15143,x15144,x15145),f573(x15142,x15143,x15144,x15145))
% 163.24/162.98 [1515]~E(x15151,x15152)+E(f573(x15153,x15151,x15154,x15155),f573(x15153,x15152,x15154,x15155))
% 163.24/162.98 [1516]~E(x15161,x15162)+E(f573(x15163,x15164,x15161,x15165),f573(x15163,x15164,x15162,x15165))
% 163.24/162.98 [1517]~E(x15171,x15172)+E(f573(x15173,x15174,x15175,x15171),f573(x15173,x15174,x15175,x15172))
% 163.24/162.98 [1518]~E(x15181,x15182)+E(f363(x15181),f363(x15182))
% 163.24/162.98 [1519]~E(x15191,x15192)+E(f377(x15191,x15193,x15194),f377(x15192,x15193,x15194))
% 163.24/162.98 [1520]~E(x15201,x15202)+E(f377(x15203,x15201,x15204),f377(x15203,x15202,x15204))
% 163.24/162.98 [1521]~E(x15211,x15212)+E(f377(x15213,x15214,x15211),f377(x15213,x15214,x15212))
% 163.24/162.98 [1522]~E(x15221,x15222)+E(f668(x15221,x15223),f668(x15222,x15223))
% 163.24/162.98 [1523]~E(x15231,x15232)+E(f668(x15233,x15231),f668(x15233,x15232))
% 163.24/162.98 [1524]~E(x15241,x15242)+E(f485(x15241,x15243,x15244),f485(x15242,x15243,x15244))
% 163.24/162.98 [1525]~E(x15251,x15252)+E(f485(x15253,x15251,x15254),f485(x15253,x15252,x15254))
% 163.24/162.98 [1526]~E(x15261,x15262)+E(f485(x15263,x15264,x15261),f485(x15263,x15264,x15262))
% 163.24/162.98 [1527]~E(x15271,x15272)+E(f465(x15271,x15273,x15274),f465(x15272,x15273,x15274))
% 163.24/162.98 [1528]~E(x15281,x15282)+E(f465(x15283,x15281,x15284),f465(x15283,x15282,x15284))
% 163.24/162.98 [1529]~E(x15291,x15292)+E(f465(x15293,x15294,x15291),f465(x15293,x15294,x15292))
% 163.24/162.98 [1530]~E(x15301,x15302)+E(f730(x15301,x15303,x15304,x15305),f730(x15302,x15303,x15304,x15305))
% 163.24/162.98 [1531]~E(x15311,x15312)+E(f730(x15313,x15311,x15314,x15315),f730(x15313,x15312,x15314,x15315))
% 163.24/162.98 [1532]~E(x15321,x15322)+E(f730(x15323,x15324,x15321,x15325),f730(x15323,x15324,x15322,x15325))
% 163.24/162.98 [1533]~E(x15331,x15332)+E(f730(x15333,x15334,x15335,x15331),f730(x15333,x15334,x15335,x15332))
% 163.24/162.98 [1534]~E(x15341,x15342)+E(f749(x15341,x15343,x15344,x15345,x15346),f749(x15342,x15343,x15344,x15345,x15346))
% 163.24/162.98 [1535]~E(x15351,x15352)+E(f749(x15353,x15351,x15354,x15355,x15356),f749(x15353,x15352,x15354,x15355,x15356))
% 163.24/162.98 [1536]~E(x15361,x15362)+E(f749(x15363,x15364,x15361,x15365,x15366),f749(x15363,x15364,x15362,x15365,x15366))
% 163.24/162.98 [1537]~E(x15371,x15372)+E(f749(x15373,x15374,x15375,x15371,x15376),f749(x15373,x15374,x15375,x15372,x15376))
% 163.24/162.98 [1538]~E(x15381,x15382)+E(f749(x15383,x15384,x15385,x15386,x15381),f749(x15383,x15384,x15385,x15386,x15382))
% 163.24/162.98 [1539]~E(x15391,x15392)+E(f694(x15391,x15393,x15394),f694(x15392,x15393,x15394))
% 163.24/162.98 [1540]~E(x15401,x15402)+E(f694(x15403,x15401,x15404),f694(x15403,x15402,x15404))
% 163.24/162.98 [1541]~E(x15411,x15412)+E(f694(x15413,x15414,x15411),f694(x15413,x15414,x15412))
% 163.24/162.98 [1542]~E(x15421,x15422)+E(f518(x15421,x15423,x15424,x15425,x15426,x15427),f518(x15422,x15423,x15424,x15425,x15426,x15427))
% 163.24/162.98 [1543]~E(x15431,x15432)+E(f518(x15433,x15431,x15434,x15435,x15436,x15437),f518(x15433,x15432,x15434,x15435,x15436,x15437))
% 163.24/162.98 [1544]~E(x15441,x15442)+E(f518(x15443,x15444,x15441,x15445,x15446,x15447),f518(x15443,x15444,x15442,x15445,x15446,x15447))
% 163.24/162.98 [1545]~E(x15451,x15452)+E(f518(x15453,x15454,x15455,x15451,x15456,x15457),f518(x15453,x15454,x15455,x15452,x15456,x15457))
% 163.24/162.98 [1546]~E(x15461,x15462)+E(f518(x15463,x15464,x15465,x15466,x15461,x15467),f518(x15463,x15464,x15465,x15466,x15462,x15467))
% 163.24/162.98 [1547]~E(x15471,x15472)+E(f518(x15473,x15474,x15475,x15476,x15477,x15471),f518(x15473,x15474,x15475,x15476,x15477,x15472))
% 163.24/162.98 [1548]~E(x15481,x15482)+E(f655(x15481,x15483,x15484),f655(x15482,x15483,x15484))
% 163.24/162.98 [1549]~E(x15491,x15492)+E(f655(x15493,x15491,x15494),f655(x15493,x15492,x15494))
% 163.24/162.98 [1550]~E(x15501,x15502)+E(f655(x15503,x15504,x15501),f655(x15503,x15504,x15502))
% 163.24/162.98 [1551]~E(x15511,x15512)+E(f861(x15511,x15513,x15514),f861(x15512,x15513,x15514))
% 163.24/162.98 [1552]~E(x15521,x15522)+E(f861(x15523,x15521,x15524),f861(x15523,x15522,x15524))
% 163.24/162.98 [1553]~E(x15531,x15532)+E(f861(x15533,x15534,x15531),f861(x15533,x15534,x15532))
% 163.24/162.98 [1554]~E(x15541,x15542)+E(f424(x15541,x15543),f424(x15542,x15543))
% 163.24/162.98 [1555]~E(x15551,x15552)+E(f424(x15553,x15551),f424(x15553,x15552))
% 163.24/162.98 [1556]~E(x15561,x15562)+E(f812(x15561,x15563,x15564),f812(x15562,x15563,x15564))
% 163.24/162.98 [1557]~E(x15571,x15572)+E(f812(x15573,x15571,x15574),f812(x15573,x15572,x15574))
% 163.24/162.98 [1558]~E(x15581,x15582)+E(f812(x15583,x15584,x15581),f812(x15583,x15584,x15582))
% 163.24/162.98 [1559]~E(x15591,x15592)+E(f451(x15591,x15593,x15594),f451(x15592,x15593,x15594))
% 163.24/162.98 [1560]~E(x15601,x15602)+E(f451(x15603,x15601,x15604),f451(x15603,x15602,x15604))
% 163.24/162.98 [1561]~E(x15611,x15612)+E(f451(x15613,x15614,x15611),f451(x15613,x15614,x15612))
% 163.24/162.98 [1562]~E(x15621,x15622)+E(f714(x15621,x15623,x15624,x15625,x15626,x15627,x15628,x15629),f714(x15622,x15623,x15624,x15625,x15626,x15627,x15628,x15629))
% 163.24/162.98 [1563]~E(x15631,x15632)+E(f714(x15633,x15631,x15634,x15635,x15636,x15637,x15638,x15639),f714(x15633,x15632,x15634,x15635,x15636,x15637,x15638,x15639))
% 163.24/162.98 [1564]~E(x15641,x15642)+E(f714(x15643,x15644,x15641,x15645,x15646,x15647,x15648,x15649),f714(x15643,x15644,x15642,x15645,x15646,x15647,x15648,x15649))
% 163.24/162.98 [1565]~E(x15651,x15652)+E(f714(x15653,x15654,x15655,x15651,x15656,x15657,x15658,x15659),f714(x15653,x15654,x15655,x15652,x15656,x15657,x15658,x15659))
% 163.24/162.98 [1566]~E(x15661,x15662)+E(f714(x15663,x15664,x15665,x15666,x15661,x15667,x15668,x15669),f714(x15663,x15664,x15665,x15666,x15662,x15667,x15668,x15669))
% 163.24/162.98 [1567]~E(x15671,x15672)+E(f714(x15673,x15674,x15675,x15676,x15677,x15671,x15678,x15679),f714(x15673,x15674,x15675,x15676,x15677,x15672,x15678,x15679))
% 163.24/162.98 [1568]~E(x15681,x15682)+E(f714(x15683,x15684,x15685,x15686,x15687,x15688,x15681,x15689),f714(x15683,x15684,x15685,x15686,x15687,x15688,x15682,x15689))
% 163.24/162.98 [1569]~E(x15691,x15692)+E(f714(x15693,x15694,x15695,x15696,x15697,x15698,x15699,x15691),f714(x15693,x15694,x15695,x15696,x15697,x15698,x15699,x15692))
% 163.24/162.98 [1570]~E(x15701,x15702)+E(f779(x15701,x15703,x15704,x15705,x15706),f779(x15702,x15703,x15704,x15705,x15706))
% 163.24/162.98 [1571]~E(x15711,x15712)+E(f779(x15713,x15711,x15714,x15715,x15716),f779(x15713,x15712,x15714,x15715,x15716))
% 163.24/162.98 [1572]~E(x15721,x15722)+E(f779(x15723,x15724,x15721,x15725,x15726),f779(x15723,x15724,x15722,x15725,x15726))
% 163.24/162.98 [1573]~E(x15731,x15732)+E(f779(x15733,x15734,x15735,x15731,x15736),f779(x15733,x15734,x15735,x15732,x15736))
% 163.24/162.98 [1574]~E(x15741,x15742)+E(f779(x15743,x15744,x15745,x15746,x15741),f779(x15743,x15744,x15745,x15746,x15742))
% 163.24/162.98 [1575]~E(x15751,x15752)+E(f634(x15751,x15753,x15754,x15755,x15756,x15757),f634(x15752,x15753,x15754,x15755,x15756,x15757))
% 163.24/162.98 [1576]~E(x15761,x15762)+E(f634(x15763,x15761,x15764,x15765,x15766,x15767),f634(x15763,x15762,x15764,x15765,x15766,x15767))
% 163.24/162.98 [1577]~E(x15771,x15772)+E(f634(x15773,x15774,x15771,x15775,x15776,x15777),f634(x15773,x15774,x15772,x15775,x15776,x15777))
% 163.24/162.98 [1578]~E(x15781,x15782)+E(f634(x15783,x15784,x15785,x15781,x15786,x15787),f634(x15783,x15784,x15785,x15782,x15786,x15787))
% 163.24/162.98 [1579]~E(x15791,x15792)+E(f634(x15793,x15794,x15795,x15796,x15791,x15797),f634(x15793,x15794,x15795,x15796,x15792,x15797))
% 163.24/162.98 [1580]~E(x15801,x15802)+E(f634(x15803,x15804,x15805,x15806,x15807,x15801),f634(x15803,x15804,x15805,x15806,x15807,x15802))
% 163.24/162.98 [1581]~E(x15811,x15812)+E(f538(x15811,x15813,x15814,x15815,x15816),f538(x15812,x15813,x15814,x15815,x15816))
% 163.24/162.98 [1582]~E(x15821,x15822)+E(f538(x15823,x15821,x15824,x15825,x15826),f538(x15823,x15822,x15824,x15825,x15826))
% 163.24/162.98 [1583]~E(x15831,x15832)+E(f538(x15833,x15834,x15831,x15835,x15836),f538(x15833,x15834,x15832,x15835,x15836))
% 163.24/162.98 [1584]~E(x15841,x15842)+E(f538(x15843,x15844,x15845,x15841,x15846),f538(x15843,x15844,x15845,x15842,x15846))
% 163.24/162.98 [1585]~E(x15851,x15852)+E(f538(x15853,x15854,x15855,x15856,x15851),f538(x15853,x15854,x15855,x15856,x15852))
% 163.24/162.98 [1586]~E(x15861,x15862)+E(f163(x15861,x15863),f163(x15862,x15863))
% 163.24/162.98 [1587]~E(x15871,x15872)+E(f163(x15873,x15871),f163(x15873,x15872))
% 163.24/162.98 [1588]~E(x15881,x15882)+E(f600(x15881,x15883,x15884),f600(x15882,x15883,x15884))
% 163.24/162.98 [1589]~E(x15891,x15892)+E(f600(x15893,x15891,x15894),f600(x15893,x15892,x15894))
% 163.24/162.98 [1590]~E(x15901,x15902)+E(f600(x15903,x15904,x15901),f600(x15903,x15904,x15902))
% 163.24/162.98 [1591]~E(x15911,x15912)+E(f805(x15911,x15913,x15914),f805(x15912,x15913,x15914))
% 163.24/162.98 [1592]~E(x15921,x15922)+E(f805(x15923,x15921,x15924),f805(x15923,x15922,x15924))
% 163.24/162.98 [1593]~E(x15931,x15932)+E(f805(x15933,x15934,x15931),f805(x15933,x15934,x15932))
% 163.24/162.98 [1594]~E(x15941,x15942)+E(f339(x15941,x15943),f339(x15942,x15943))
% 163.24/162.98 [1595]~E(x15951,x15952)+E(f339(x15953,x15951),f339(x15953,x15952))
% 163.24/162.98 [1596]~E(x15961,x15962)+E(f671(x15961,x15963,x15964),f671(x15962,x15963,x15964))
% 163.24/162.98 [1597]~E(x15971,x15972)+E(f671(x15973,x15971,x15974),f671(x15973,x15972,x15974))
% 163.24/162.98 [1598]~E(x15981,x15982)+E(f671(x15983,x15984,x15981),f671(x15983,x15984,x15982))
% 163.24/162.98 [1599]~E(x15991,x15992)+E(f293(x15991,x15993),f293(x15992,x15993))
% 163.24/162.98 [1600]~E(x16001,x16002)+E(f293(x16003,x16001),f293(x16003,x16002))
% 163.24/162.98 [1601]~E(x16011,x16012)+E(f790(x16011,x16013,x16014,x16015,x16016),f790(x16012,x16013,x16014,x16015,x16016))
% 163.24/162.98 [1602]~E(x16021,x16022)+E(f790(x16023,x16021,x16024,x16025,x16026),f790(x16023,x16022,x16024,x16025,x16026))
% 163.24/162.98 [1603]~E(x16031,x16032)+E(f790(x16033,x16034,x16031,x16035,x16036),f790(x16033,x16034,x16032,x16035,x16036))
% 163.24/162.98 [1604]~E(x16041,x16042)+E(f790(x16043,x16044,x16045,x16041,x16046),f790(x16043,x16044,x16045,x16042,x16046))
% 163.24/162.98 [1605]~E(x16051,x16052)+E(f790(x16053,x16054,x16055,x16056,x16051),f790(x16053,x16054,x16055,x16056,x16052))
% 163.24/162.98 [1606]~E(x16061,x16062)+E(f495(x16061,x16063,x16064,x16065,x16066),f495(x16062,x16063,x16064,x16065,x16066))
% 163.24/162.98 [1607]~E(x16071,x16072)+E(f495(x16073,x16071,x16074,x16075,x16076),f495(x16073,x16072,x16074,x16075,x16076))
% 163.24/162.98 [1608]~E(x16081,x16082)+E(f495(x16083,x16084,x16081,x16085,x16086),f495(x16083,x16084,x16082,x16085,x16086))
% 163.24/162.98 [1609]~E(x16091,x16092)+E(f495(x16093,x16094,x16095,x16091,x16096),f495(x16093,x16094,x16095,x16092,x16096))
% 163.24/162.98 [1610]~E(x16101,x16102)+E(f495(x16103,x16104,x16105,x16106,x16101),f495(x16103,x16104,x16105,x16106,x16102))
% 163.24/162.98 [1611]~E(x16111,x16112)+E(f294(x16111,x16113,x16114),f294(x16112,x16113,x16114))
% 163.24/162.98 [1612]~E(x16121,x16122)+E(f294(x16123,x16121,x16124),f294(x16123,x16122,x16124))
% 163.24/162.98 [1613]~E(x16131,x16132)+E(f294(x16133,x16134,x16131),f294(x16133,x16134,x16132))
% 163.24/162.98 [1614]~E(x16141,x16142)+E(f136(x16141,x16143),f136(x16142,x16143))
% 163.24/162.98 [1615]~E(x16151,x16152)+E(f136(x16153,x16151),f136(x16153,x16152))
% 163.24/162.98 [1616]~E(x16161,x16162)+E(f486(x16161,x16163,x16164),f486(x16162,x16163,x16164))
% 163.24/162.98 [1617]~E(x16171,x16172)+E(f486(x16173,x16171,x16174),f486(x16173,x16172,x16174))
% 163.24/162.98 [1618]~E(x16181,x16182)+E(f486(x16183,x16184,x16181),f486(x16183,x16184,x16182))
% 163.24/162.98 [1619]~E(x16191,x16192)+E(f240(x16191,x16193,x16194,x16195),f240(x16192,x16193,x16194,x16195))
% 163.24/162.98 [1620]~E(x16201,x16202)+E(f240(x16203,x16201,x16204,x16205),f240(x16203,x16202,x16204,x16205))
% 163.24/162.98 [1621]~E(x16211,x16212)+E(f240(x16213,x16214,x16211,x16215),f240(x16213,x16214,x16212,x16215))
% 163.24/162.98 [1622]~E(x16221,x16222)+E(f240(x16223,x16224,x16225,x16221),f240(x16223,x16224,x16225,x16222))
% 163.24/162.98 [1623]~E(x16231,x16232)+E(f624(x16231,x16233,x16234),f624(x16232,x16233,x16234))
% 163.24/162.98 [1624]~E(x16241,x16242)+E(f624(x16243,x16241,x16244),f624(x16243,x16242,x16244))
% 163.24/162.98 [1625]~E(x16251,x16252)+E(f624(x16253,x16254,x16251),f624(x16253,x16254,x16252))
% 163.24/162.98 [1626]~E(x16261,x16262)+E(f471(x16261,x16263),f471(x16262,x16263))
% 163.24/162.98 [1627]~E(x16271,x16272)+E(f471(x16273,x16271),f471(x16273,x16272))
% 163.24/162.98 [1628]~E(x16281,x16282)+E(f724(x16281,x16283),f724(x16282,x16283))
% 163.24/162.98 [1629]~E(x16291,x16292)+E(f724(x16293,x16291),f724(x16293,x16292))
% 163.24/162.98 [1630]~E(x16301,x16302)+E(f597(x16301,x16303,x16304,x16305,x16306),f597(x16302,x16303,x16304,x16305,x16306))
% 163.24/162.98 [1631]~E(x16311,x16312)+E(f597(x16313,x16311,x16314,x16315,x16316),f597(x16313,x16312,x16314,x16315,x16316))
% 163.24/162.98 [1632]~E(x16321,x16322)+E(f597(x16323,x16324,x16321,x16325,x16326),f597(x16323,x16324,x16322,x16325,x16326))
% 163.24/162.98 [1633]~E(x16331,x16332)+E(f597(x16333,x16334,x16335,x16331,x16336),f597(x16333,x16334,x16335,x16332,x16336))
% 163.24/162.98 [1634]~E(x16341,x16342)+E(f597(x16343,x16344,x16345,x16346,x16341),f597(x16343,x16344,x16345,x16346,x16342))
% 163.24/162.98 [1635]~E(x16351,x16352)+E(f452(x16351,x16353,x16354),f452(x16352,x16353,x16354))
% 163.24/162.98 [1636]~E(x16361,x16362)+E(f452(x16363,x16361,x16364),f452(x16363,x16362,x16364))
% 163.24/162.98 [1637]~E(x16371,x16372)+E(f452(x16373,x16374,x16371),f452(x16373,x16374,x16372))
% 163.24/162.98 [1638]~E(x16381,x16382)+E(f358(x16381,x16383,x16384,x16385,x16386),f358(x16382,x16383,x16384,x16385,x16386))
% 163.24/162.98 [1639]~E(x16391,x16392)+E(f358(x16393,x16391,x16394,x16395,x16396),f358(x16393,x16392,x16394,x16395,x16396))
% 163.24/162.98 [1640]~E(x16401,x16402)+E(f358(x16403,x16404,x16401,x16405,x16406),f358(x16403,x16404,x16402,x16405,x16406))
% 163.24/162.98 [1641]~E(x16411,x16412)+E(f358(x16413,x16414,x16415,x16411,x16416),f358(x16413,x16414,x16415,x16412,x16416))
% 163.24/162.98 [1642]~E(x16421,x16422)+E(f358(x16423,x16424,x16425,x16426,x16421),f358(x16423,x16424,x16425,x16426,x16422))
% 163.24/162.98 [1643]~E(x16431,x16432)+E(f354(x16431,x16433,x16434,x16435),f354(x16432,x16433,x16434,x16435))
% 163.24/162.98 [1644]~E(x16441,x16442)+E(f354(x16443,x16441,x16444,x16445),f354(x16443,x16442,x16444,x16445))
% 163.24/162.98 [1645]~E(x16451,x16452)+E(f354(x16453,x16454,x16451,x16455),f354(x16453,x16454,x16452,x16455))
% 163.24/162.98 [1646]~E(x16461,x16462)+E(f354(x16463,x16464,x16465,x16461),f354(x16463,x16464,x16465,x16462))
% 163.24/162.98 [1647]~E(x16471,x16472)+E(f443(x16471,x16473,x16474,x16475),f443(x16472,x16473,x16474,x16475))
% 163.24/162.98 [1648]~E(x16481,x16482)+E(f443(x16483,x16481,x16484,x16485),f443(x16483,x16482,x16484,x16485))
% 163.24/162.98 [1649]~E(x16491,x16492)+E(f443(x16493,x16494,x16491,x16495),f443(x16493,x16494,x16492,x16495))
% 163.24/162.98 [1650]~E(x16501,x16502)+E(f443(x16503,x16504,x16505,x16501),f443(x16503,x16504,x16505,x16502))
% 163.24/162.98 [1651]~E(x16511,x16512)+E(f767(x16511,x16513,x16514),f767(x16512,x16513,x16514))
% 163.24/162.98 [1652]~E(x16521,x16522)+E(f767(x16523,x16521,x16524),f767(x16523,x16522,x16524))
% 163.24/162.98 [1653]~E(x16531,x16532)+E(f767(x16533,x16534,x16531),f767(x16533,x16534,x16532))
% 163.24/162.98 [1654]~E(x16541,x16542)+E(f525(x16541,x16543,x16544,x16545),f525(x16542,x16543,x16544,x16545))
% 163.24/162.98 [1655]~E(x16551,x16552)+E(f525(x16553,x16551,x16554,x16555),f525(x16553,x16552,x16554,x16555))
% 163.24/162.98 [1656]~E(x16561,x16562)+E(f525(x16563,x16564,x16561,x16565),f525(x16563,x16564,x16562,x16565))
% 163.24/162.98 [1657]~E(x16571,x16572)+E(f525(x16573,x16574,x16575,x16571),f525(x16573,x16574,x16575,x16572))
% 163.24/162.98 [1658]~E(x16581,x16582)+E(f412(x16581,x16583),f412(x16582,x16583))
% 163.24/162.98 [1659]~E(x16591,x16592)+E(f412(x16593,x16591),f412(x16593,x16592))
% 163.24/162.98 [1660]~E(x16601,x16602)+E(f590(x16601,x16603,x16604,x16605,x16606),f590(x16602,x16603,x16604,x16605,x16606))
% 163.24/162.98 [1661]~E(x16611,x16612)+E(f590(x16613,x16611,x16614,x16615,x16616),f590(x16613,x16612,x16614,x16615,x16616))
% 163.24/162.98 [1662]~E(x16621,x16622)+E(f590(x16623,x16624,x16621,x16625,x16626),f590(x16623,x16624,x16622,x16625,x16626))
% 163.24/162.98 [1663]~E(x16631,x16632)+E(f590(x16633,x16634,x16635,x16631,x16636),f590(x16633,x16634,x16635,x16632,x16636))
% 163.24/162.98 [1664]~E(x16641,x16642)+E(f590(x16643,x16644,x16645,x16646,x16641),f590(x16643,x16644,x16645,x16646,x16642))
% 163.24/162.98 [1665]~E(x16651,x16652)+E(f674(x16651,x16653,x16654),f674(x16652,x16653,x16654))
% 163.24/162.98 [1666]~E(x16661,x16662)+E(f674(x16663,x16661,x16664),f674(x16663,x16662,x16664))
% 163.24/162.98 [1667]~E(x16671,x16672)+E(f674(x16673,x16674,x16671),f674(x16673,x16674,x16672))
% 163.24/162.98 [1668]~E(x16681,x16682)+E(f376(x16681,x16683,x16684),f376(x16682,x16683,x16684))
% 163.24/162.98 [1669]~E(x16691,x16692)+E(f376(x16693,x16691,x16694),f376(x16693,x16692,x16694))
% 163.24/162.98 [1670]~E(x16701,x16702)+E(f376(x16703,x16704,x16701),f376(x16703,x16704,x16702))
% 163.24/162.98 [1671]~E(x16711,x16712)+E(f396(x16711,x16713,x16714),f396(x16712,x16713,x16714))
% 163.24/162.98 [1672]~E(x16721,x16722)+E(f396(x16723,x16721,x16724),f396(x16723,x16722,x16724))
% 163.24/162.98 [1673]~E(x16731,x16732)+E(f396(x16733,x16734,x16731),f396(x16733,x16734,x16732))
% 163.24/162.98 [1674]~E(x16741,x16742)+E(f775(x16741,x16743,x16744,x16745,x16746),f775(x16742,x16743,x16744,x16745,x16746))
% 163.24/162.98 [1675]~E(x16751,x16752)+E(f775(x16753,x16751,x16754,x16755,x16756),f775(x16753,x16752,x16754,x16755,x16756))
% 163.24/162.98 [1676]~E(x16761,x16762)+E(f775(x16763,x16764,x16761,x16765,x16766),f775(x16763,x16764,x16762,x16765,x16766))
% 163.24/162.98 [1677]~E(x16771,x16772)+E(f775(x16773,x16774,x16775,x16771,x16776),f775(x16773,x16774,x16775,x16772,x16776))
% 163.24/162.98 [1678]~E(x16781,x16782)+E(f775(x16783,x16784,x16785,x16786,x16781),f775(x16783,x16784,x16785,x16786,x16782))
% 163.24/162.98 [1679]~E(x16791,x16792)+E(f858(x16791,x16793,x16794,x16795,x16796),f858(x16792,x16793,x16794,x16795,x16796))
% 163.24/162.98 [1680]~E(x16801,x16802)+E(f858(x16803,x16801,x16804,x16805,x16806),f858(x16803,x16802,x16804,x16805,x16806))
% 163.24/162.98 [1681]~E(x16811,x16812)+E(f858(x16813,x16814,x16811,x16815,x16816),f858(x16813,x16814,x16812,x16815,x16816))
% 163.24/162.98 [1682]~E(x16821,x16822)+E(f858(x16823,x16824,x16825,x16821,x16826),f858(x16823,x16824,x16825,x16822,x16826))
% 163.24/162.98 [1683]~E(x16831,x16832)+E(f858(x16833,x16834,x16835,x16836,x16831),f858(x16833,x16834,x16835,x16836,x16832))
% 163.24/162.98 [1684]~E(x16841,x16842)+E(f630(x16841,x16843),f630(x16842,x16843))
% 163.24/162.98 [1685]~E(x16851,x16852)+E(f630(x16853,x16851),f630(x16853,x16852))
% 163.24/162.98 [1686]~E(x16861,x16862)+E(f713(x16861,x16863,x16864,x16865),f713(x16862,x16863,x16864,x16865))
% 163.24/162.98 [1687]~E(x16871,x16872)+E(f713(x16873,x16871,x16874,x16875),f713(x16873,x16872,x16874,x16875))
% 163.24/162.98 [1688]~E(x16881,x16882)+E(f713(x16883,x16884,x16881,x16885),f713(x16883,x16884,x16882,x16885))
% 163.24/162.98 [1689]~E(x16891,x16892)+E(f713(x16893,x16894,x16895,x16891),f713(x16893,x16894,x16895,x16892))
% 163.24/162.98 [1690]~E(x16901,x16902)+E(f660(x16901,x16903,x16904),f660(x16902,x16903,x16904))
% 163.24/162.98 [1691]~E(x16911,x16912)+E(f660(x16913,x16911,x16914),f660(x16913,x16912,x16914))
% 163.24/162.98 [1692]~E(x16921,x16922)+E(f660(x16923,x16924,x16921),f660(x16923,x16924,x16922))
% 163.24/162.98 [1693]~E(x16931,x16932)+E(f422(x16931,x16933,x16934,x16935),f422(x16932,x16933,x16934,x16935))
% 163.24/162.98 [1694]~E(x16941,x16942)+E(f422(x16943,x16941,x16944,x16945),f422(x16943,x16942,x16944,x16945))
% 163.24/162.98 [1695]~E(x16951,x16952)+E(f422(x16953,x16954,x16951,x16955),f422(x16953,x16954,x16952,x16955))
% 163.24/162.98 [1696]~E(x16961,x16962)+E(f422(x16963,x16964,x16965,x16961),f422(x16963,x16964,x16965,x16962))
% 163.24/162.98 [1697]~E(x16971,x16972)+E(f551(x16971,x16973,x16974,x16975),f551(x16972,x16973,x16974,x16975))
% 163.24/162.98 [1698]~E(x16981,x16982)+E(f551(x16983,x16981,x16984,x16985),f551(x16983,x16982,x16984,x16985))
% 163.24/162.98 [1699]~E(x16991,x16992)+E(f551(x16993,x16994,x16991,x16995),f551(x16993,x16994,x16992,x16995))
% 163.24/162.98 [1700]~E(x17001,x17002)+E(f551(x17003,x17004,x17005,x17001),f551(x17003,x17004,x17005,x17002))
% 163.24/162.98 [1701]~E(x17011,x17012)+E(f644(x17011,x17013,x17014,x17015),f644(x17012,x17013,x17014,x17015))
% 163.24/162.98 [1702]~E(x17021,x17022)+E(f644(x17023,x17021,x17024,x17025),f644(x17023,x17022,x17024,x17025))
% 163.24/162.98 [1703]~E(x17031,x17032)+E(f644(x17033,x17034,x17031,x17035),f644(x17033,x17034,x17032,x17035))
% 163.24/162.98 [1704]~E(x17041,x17042)+E(f644(x17043,x17044,x17045,x17041),f644(x17043,x17044,x17045,x17042))
% 163.24/162.98 [1705]~E(x17051,x17052)+E(f480(x17051,x17053),f480(x17052,x17053))
% 163.24/162.98 [1706]~E(x17061,x17062)+E(f480(x17063,x17061),f480(x17063,x17062))
% 163.24/162.98 [1707]~E(x17071,x17072)+E(f544(x17071,x17073,x17074,x17075,x17076),f544(x17072,x17073,x17074,x17075,x17076))
% 163.24/162.98 [1708]~E(x17081,x17082)+E(f544(x17083,x17081,x17084,x17085,x17086),f544(x17083,x17082,x17084,x17085,x17086))
% 163.24/162.98 [1709]~E(x17091,x17092)+E(f544(x17093,x17094,x17091,x17095,x17096),f544(x17093,x17094,x17092,x17095,x17096))
% 163.24/162.98 [1710]~E(x17101,x17102)+E(f544(x17103,x17104,x17105,x17101,x17106),f544(x17103,x17104,x17105,x17102,x17106))
% 163.24/162.98 [1711]~E(x17111,x17112)+E(f544(x17113,x17114,x17115,x17116,x17111),f544(x17113,x17114,x17115,x17116,x17112))
% 163.24/162.98 [1712]~E(x17121,x17122)+E(f327(x17121,x17123,x17124),f327(x17122,x17123,x17124))
% 163.24/162.98 [1713]~E(x17131,x17132)+E(f327(x17133,x17131,x17134),f327(x17133,x17132,x17134))
% 163.24/162.98 [1714]~E(x17141,x17142)+E(f327(x17143,x17144,x17141),f327(x17143,x17144,x17142))
% 163.24/162.98 [1715]~E(x17151,x17152)+E(f438(x17151,x17153,x17154,x17155),f438(x17152,x17153,x17154,x17155))
% 163.24/162.98 [1716]~E(x17161,x17162)+E(f438(x17163,x17161,x17164,x17165),f438(x17163,x17162,x17164,x17165))
% 163.24/162.98 [1717]~E(x17171,x17172)+E(f438(x17173,x17174,x17171,x17175),f438(x17173,x17174,x17172,x17175))
% 163.24/162.98 [1718]~E(x17181,x17182)+E(f438(x17183,x17184,x17185,x17181),f438(x17183,x17184,x17185,x17182))
% 163.24/162.98 [1719]~E(x17191,x17192)+E(f784(x17191,x17193),f784(x17192,x17193))
% 163.24/162.98 [1720]~E(x17201,x17202)+E(f784(x17203,x17201),f784(x17203,x17202))
% 163.24/162.98 [1721]~E(x17211,x17212)+E(f456(x17211,x17213,x17214,x17215),f456(x17212,x17213,x17214,x17215))
% 163.24/162.98 [1722]~E(x17221,x17222)+E(f456(x17223,x17221,x17224,x17225),f456(x17223,x17222,x17224,x17225))
% 163.24/162.98 [1723]~E(x17231,x17232)+E(f456(x17233,x17234,x17231,x17235),f456(x17233,x17234,x17232,x17235))
% 163.24/162.98 [1724]~E(x17241,x17242)+E(f456(x17243,x17244,x17245,x17241),f456(x17243,x17244,x17245,x17242))
% 163.24/162.98 [1725]~E(x17251,x17252)+E(f368(x17251,x17253,x17254),f368(x17252,x17253,x17254))
% 163.24/162.98 [1726]~E(x17261,x17262)+E(f368(x17263,x17261,x17264),f368(x17263,x17262,x17264))
% 163.24/162.98 [1727]~E(x17271,x17272)+E(f368(x17273,x17274,x17271),f368(x17273,x17274,x17272))
% 163.24/162.98 [1728]~E(x17281,x17282)+E(f751(x17281,x17283,x17284,x17285,x17286),f751(x17282,x17283,x17284,x17285,x17286))
% 163.24/162.98 [1729]~E(x17291,x17292)+E(f751(x17293,x17291,x17294,x17295,x17296),f751(x17293,x17292,x17294,x17295,x17296))
% 163.24/162.98 [1730]~E(x17301,x17302)+E(f751(x17303,x17304,x17301,x17305,x17306),f751(x17303,x17304,x17302,x17305,x17306))
% 163.24/162.98 [1731]~E(x17311,x17312)+E(f751(x17313,x17314,x17315,x17311,x17316),f751(x17313,x17314,x17315,x17312,x17316))
% 163.24/162.98 [1732]~E(x17321,x17322)+E(f751(x17323,x17324,x17325,x17326,x17321),f751(x17323,x17324,x17325,x17326,x17322))
% 163.24/162.98 [1733]~E(x17331,x17332)+E(f520(x17331,x17333,x17334,x17335,x17336),f520(x17332,x17333,x17334,x17335,x17336))
% 163.24/162.98 [1734]~E(x17341,x17342)+E(f520(x17343,x17341,x17344,x17345,x17346),f520(x17343,x17342,x17344,x17345,x17346))
% 163.24/162.98 [1735]~E(x17351,x17352)+E(f520(x17353,x17354,x17351,x17355,x17356),f520(x17353,x17354,x17352,x17355,x17356))
% 163.24/162.98 [1736]~E(x17361,x17362)+E(f520(x17363,x17364,x17365,x17361,x17366),f520(x17363,x17364,x17365,x17362,x17366))
% 163.24/162.98 [1737]~E(x17371,x17372)+E(f520(x17373,x17374,x17375,x17376,x17371),f520(x17373,x17374,x17375,x17376,x17372))
% 163.24/162.98 [1738]~E(x17381,x17382)+E(f633(x17381,x17383,x17384,x17385,x17386,x17387),f633(x17382,x17383,x17384,x17385,x17386,x17387))
% 163.24/162.98 [1739]~E(x17391,x17392)+E(f633(x17393,x17391,x17394,x17395,x17396,x17397),f633(x17393,x17392,x17394,x17395,x17396,x17397))
% 163.24/162.98 [1740]~E(x17401,x17402)+E(f633(x17403,x17404,x17401,x17405,x17406,x17407),f633(x17403,x17404,x17402,x17405,x17406,x17407))
% 163.24/162.98 [1741]~E(x17411,x17412)+E(f633(x17413,x17414,x17415,x17411,x17416,x17417),f633(x17413,x17414,x17415,x17412,x17416,x17417))
% 163.24/162.98 [1742]~E(x17421,x17422)+E(f633(x17423,x17424,x17425,x17426,x17421,x17427),f633(x17423,x17424,x17425,x17426,x17422,x17427))
% 163.24/162.98 [1743]~E(x17431,x17432)+E(f633(x17433,x17434,x17435,x17436,x17437,x17431),f633(x17433,x17434,x17435,x17436,x17437,x17432))
% 163.24/162.98 [1744]~E(x17441,x17442)+E(f827(x17441,x17443,x17444,x17445,x17446),f827(x17442,x17443,x17444,x17445,x17446))
% 163.24/162.98 [1745]~E(x17451,x17452)+E(f827(x17453,x17451,x17454,x17455,x17456),f827(x17453,x17452,x17454,x17455,x17456))
% 163.24/162.98 [1746]~E(x17461,x17462)+E(f827(x17463,x17464,x17461,x17465,x17466),f827(x17463,x17464,x17462,x17465,x17466))
% 163.24/162.98 [1747]~E(x17471,x17472)+E(f827(x17473,x17474,x17475,x17471,x17476),f827(x17473,x17474,x17475,x17472,x17476))
% 163.24/162.98 [1748]~E(x17481,x17482)+E(f827(x17483,x17484,x17485,x17486,x17481),f827(x17483,x17484,x17485,x17486,x17482))
% 163.24/162.98 [1749]~E(x17491,x17492)+E(f661(x17491,x17493,x17494,x17495,x17496,x17497,x17498),f661(x17492,x17493,x17494,x17495,x17496,x17497,x17498))
% 163.24/162.98 [1750]~E(x17501,x17502)+E(f661(x17503,x17501,x17504,x17505,x17506,x17507,x17508),f661(x17503,x17502,x17504,x17505,x17506,x17507,x17508))
% 163.24/162.98 [1751]~E(x17511,x17512)+E(f661(x17513,x17514,x17511,x17515,x17516,x17517,x17518),f661(x17513,x17514,x17512,x17515,x17516,x17517,x17518))
% 163.24/162.98 [1752]~E(x17521,x17522)+E(f661(x17523,x17524,x17525,x17521,x17526,x17527,x17528),f661(x17523,x17524,x17525,x17522,x17526,x17527,x17528))
% 163.24/162.98 [1753]~E(x17531,x17532)+E(f661(x17533,x17534,x17535,x17536,x17531,x17537,x17538),f661(x17533,x17534,x17535,x17536,x17532,x17537,x17538))
% 163.24/162.98 [1754]~E(x17541,x17542)+E(f661(x17543,x17544,x17545,x17546,x17547,x17541,x17548),f661(x17543,x17544,x17545,x17546,x17547,x17542,x17548))
% 163.24/162.98 [1755]~E(x17551,x17552)+E(f661(x17553,x17554,x17555,x17556,x17557,x17558,x17551),f661(x17553,x17554,x17555,x17556,x17557,x17558,x17552))
% 163.24/162.98 [1756]~E(x17561,x17562)+E(f691(x17561,x17563,x17564,x17565,x17566),f691(x17562,x17563,x17564,x17565,x17566))
% 163.24/162.98 [1757]~E(x17571,x17572)+E(f691(x17573,x17571,x17574,x17575,x17576),f691(x17573,x17572,x17574,x17575,x17576))
% 163.24/162.98 [1758]~E(x17581,x17582)+E(f691(x17583,x17584,x17581,x17585,x17586),f691(x17583,x17584,x17582,x17585,x17586))
% 163.24/162.98 [1759]~E(x17591,x17592)+E(f691(x17593,x17594,x17595,x17591,x17596),f691(x17593,x17594,x17595,x17592,x17596))
% 163.24/162.98 [1760]~E(x17601,x17602)+E(f691(x17603,x17604,x17605,x17606,x17601),f691(x17603,x17604,x17605,x17606,x17602))
% 163.24/162.98 [1761]~E(x17611,x17612)+E(f640(x17611,x17613,x17614,x17615,x17616),f640(x17612,x17613,x17614,x17615,x17616))
% 163.24/162.98 [1762]~E(x17621,x17622)+E(f640(x17623,x17621,x17624,x17625,x17626),f640(x17623,x17622,x17624,x17625,x17626))
% 163.24/162.98 [1763]~E(x17631,x17632)+E(f640(x17633,x17634,x17631,x17635,x17636),f640(x17633,x17634,x17632,x17635,x17636))
% 163.24/162.98 [1764]~E(x17641,x17642)+E(f640(x17643,x17644,x17645,x17641,x17646),f640(x17643,x17644,x17645,x17642,x17646))
% 163.24/162.98 [1765]~E(x17651,x17652)+E(f640(x17653,x17654,x17655,x17656,x17651),f640(x17653,x17654,x17655,x17656,x17652))
% 163.24/162.98 [1766]~E(x17661,x17662)+E(f792(x17661,x17663,x17664),f792(x17662,x17663,x17664))
% 163.24/162.98 [1767]~E(x17671,x17672)+E(f792(x17673,x17671,x17674),f792(x17673,x17672,x17674))
% 163.24/162.98 [1768]~E(x17681,x17682)+E(f792(x17683,x17684,x17681),f792(x17683,x17684,x17682))
% 163.24/162.98 [1769]~E(x17691,x17692)+E(f467(x17691,x17693,x17694),f467(x17692,x17693,x17694))
% 163.24/162.98 [1770]~E(x17701,x17702)+E(f467(x17703,x17701,x17704),f467(x17703,x17702,x17704))
% 163.24/162.98 [1771]~E(x17711,x17712)+E(f467(x17713,x17714,x17711),f467(x17713,x17714,x17712))
% 163.24/162.98 [1772]~E(x17721,x17722)+E(f621(x17721,x17723,x17724,x17725,x17726,x17727,x17728,x17729),f621(x17722,x17723,x17724,x17725,x17726,x17727,x17728,x17729))
% 163.24/162.98 [1773]~E(x17731,x17732)+E(f621(x17733,x17731,x17734,x17735,x17736,x17737,x17738,x17739),f621(x17733,x17732,x17734,x17735,x17736,x17737,x17738,x17739))
% 163.24/162.98 [1774]~E(x17741,x17742)+E(f621(x17743,x17744,x17741,x17745,x17746,x17747,x17748,x17749),f621(x17743,x17744,x17742,x17745,x17746,x17747,x17748,x17749))
% 163.24/162.98 [1775]~E(x17751,x17752)+E(f621(x17753,x17754,x17755,x17751,x17756,x17757,x17758,x17759),f621(x17753,x17754,x17755,x17752,x17756,x17757,x17758,x17759))
% 163.24/162.98 [1776]~E(x17761,x17762)+E(f621(x17763,x17764,x17765,x17766,x17761,x17767,x17768,x17769),f621(x17763,x17764,x17765,x17766,x17762,x17767,x17768,x17769))
% 163.24/162.98 [1777]~E(x17771,x17772)+E(f621(x17773,x17774,x17775,x17776,x17777,x17771,x17778,x17779),f621(x17773,x17774,x17775,x17776,x17777,x17772,x17778,x17779))
% 163.24/162.98 [1778]~E(x17781,x17782)+E(f621(x17783,x17784,x17785,x17786,x17787,x17788,x17781,x17789),f621(x17783,x17784,x17785,x17786,x17787,x17788,x17782,x17789))
% 163.24/162.98 [1779]~E(x17791,x17792)+E(f621(x17793,x17794,x17795,x17796,x17797,x17798,x17799,x17791),f621(x17793,x17794,x17795,x17796,x17797,x17798,x17799,x17792))
% 163.24/162.98 [1780]~E(x17801,x17802)+E(f370(x17801,x17803,x17804,x17805),f370(x17802,x17803,x17804,x17805))
% 163.24/162.98 [1781]~E(x17811,x17812)+E(f370(x17813,x17811,x17814,x17815),f370(x17813,x17812,x17814,x17815))
% 163.24/162.98 [1782]~E(x17821,x17822)+E(f370(x17823,x17824,x17821,x17825),f370(x17823,x17824,x17822,x17825))
% 163.24/162.98 [1783]~E(x17831,x17832)+E(f370(x17833,x17834,x17835,x17831),f370(x17833,x17834,x17835,x17832))
% 163.24/162.98 [1784]~E(x17841,x17842)+E(f463(x17841,x17843,x17844,x17845),f463(x17842,x17843,x17844,x17845))
% 163.24/162.98 [1785]~E(x17851,x17852)+E(f463(x17853,x17851,x17854,x17855),f463(x17853,x17852,x17854,x17855))
% 163.24/162.98 [1786]~E(x17861,x17862)+E(f463(x17863,x17864,x17861,x17865),f463(x17863,x17864,x17862,x17865))
% 163.24/162.98 [1787]~E(x17871,x17872)+E(f463(x17873,x17874,x17875,x17871),f463(x17873,x17874,x17875,x17872))
% 163.24/162.98 [1788]~E(x17881,x17882)+E(f484(x17881,x17883,x17884),f484(x17882,x17883,x17884))
% 163.24/162.98 [1789]~E(x17891,x17892)+E(f484(x17893,x17891,x17894),f484(x17893,x17892,x17894))
% 163.24/162.98 [1790]~E(x17901,x17902)+E(f484(x17903,x17904,x17901),f484(x17903,x17904,x17902))
% 163.24/162.98 [1791]~E(x17911,x17912)+E(f490(x17911,x17913,x17914),f490(x17912,x17913,x17914))
% 163.24/162.98 [1792]~E(x17921,x17922)+E(f490(x17923,x17921,x17924),f490(x17923,x17922,x17924))
% 163.24/162.98 [1793]~E(x17931,x17932)+E(f490(x17933,x17934,x17931),f490(x17933,x17934,x17932))
% 163.24/162.98 [1794]~E(x17941,x17942)+E(f707(x17941,x17943,x17944,x17945),f707(x17942,x17943,x17944,x17945))
% 163.24/162.98 [1795]~E(x17951,x17952)+E(f707(x17953,x17951,x17954,x17955),f707(x17953,x17952,x17954,x17955))
% 163.24/162.98 [1796]~E(x17961,x17962)+E(f707(x17963,x17964,x17961,x17965),f707(x17963,x17964,x17962,x17965))
% 163.24/162.98 [1797]~E(x17971,x17972)+E(f707(x17973,x17974,x17975,x17971),f707(x17973,x17974,x17975,x17972))
% 163.24/162.98 [1798]~E(x17981,x17982)+E(f709(x17981,x17983,x17984,x17985),f709(x17982,x17983,x17984,x17985))
% 163.24/162.98 [1799]~E(x17991,x17992)+E(f709(x17993,x17991,x17994,x17995),f709(x17993,x17992,x17994,x17995))
% 163.24/162.98 [1800]~E(x18001,x18002)+E(f709(x18003,x18004,x18001,x18005),f709(x18003,x18004,x18002,x18005))
% 163.24/162.98 [1801]~E(x18011,x18012)+E(f709(x18013,x18014,x18015,x18011),f709(x18013,x18014,x18015,x18012))
% 163.24/162.98 [1802]~E(x18021,x18022)+E(f646(x18021,x18023),f646(x18022,x18023))
% 163.24/162.98 [1803]~E(x18031,x18032)+E(f646(x18033,x18031),f646(x18033,x18032))
% 163.24/162.98 [1804]~E(x18041,x18042)+E(f801(x18041,x18043,x18044,x18045),f801(x18042,x18043,x18044,x18045))
% 163.24/162.98 [1805]~E(x18051,x18052)+E(f801(x18053,x18051,x18054,x18055),f801(x18053,x18052,x18054,x18055))
% 163.24/162.98 [1806]~E(x18061,x18062)+E(f801(x18063,x18064,x18061,x18065),f801(x18063,x18064,x18062,x18065))
% 163.24/162.98 [1807]~E(x18071,x18072)+E(f801(x18073,x18074,x18075,x18071),f801(x18073,x18074,x18075,x18072))
% 163.24/162.98 [1808]~E(x18081,x18082)+E(f706(x18081,x18083,x18084,x18085),f706(x18082,x18083,x18084,x18085))
% 163.24/162.98 [1809]~E(x18091,x18092)+E(f706(x18093,x18091,x18094,x18095),f706(x18093,x18092,x18094,x18095))
% 163.24/162.98 [1810]~E(x18101,x18102)+E(f706(x18103,x18104,x18101,x18105),f706(x18103,x18104,x18102,x18105))
% 163.24/162.98 [1811]~E(x18111,x18112)+E(f706(x18113,x18114,x18115,x18111),f706(x18113,x18114,x18115,x18112))
% 163.24/162.98 [1812]~E(x18121,x18122)+E(f856(x18121,x18123,x18124,x18125),f856(x18122,x18123,x18124,x18125))
% 163.24/162.98 [1813]~E(x18131,x18132)+E(f856(x18133,x18131,x18134,x18135),f856(x18133,x18132,x18134,x18135))
% 163.24/162.98 [1814]~E(x18141,x18142)+E(f856(x18143,x18144,x18141,x18145),f856(x18143,x18144,x18142,x18145))
% 163.24/162.98 [1815]~E(x18151,x18152)+E(f856(x18153,x18154,x18155,x18151),f856(x18153,x18154,x18155,x18152))
% 163.24/162.98 [1816]~E(x18161,x18162)+E(f745(x18161,x18163,x18164),f745(x18162,x18163,x18164))
% 163.24/162.98 [1817]~E(x18171,x18172)+E(f745(x18173,x18171,x18174),f745(x18173,x18172,x18174))
% 163.24/162.98 [1818]~E(x18181,x18182)+E(f745(x18183,x18184,x18181),f745(x18183,x18184,x18182))
% 163.24/162.98 [1819]~E(x18191,x18192)+E(f796(x18191,x18193,x18194),f796(x18192,x18193,x18194))
% 163.24/162.98 [1820]~E(x18201,x18202)+E(f796(x18203,x18201,x18204),f796(x18203,x18202,x18204))
% 163.24/162.98 [1821]~E(x18211,x18212)+E(f796(x18213,x18214,x18211),f796(x18213,x18214,x18212))
% 163.24/162.98 [1822]~E(x18221,x18222)+E(f680(x18221,x18223),f680(x18222,x18223))
% 163.24/162.98 [1823]~E(x18231,x18232)+E(f680(x18233,x18231),f680(x18233,x18232))
% 163.24/162.98 [1824]~E(x18241,x18242)+E(f466(x18241,x18243,x18244),f466(x18242,x18243,x18244))
% 163.24/162.98 [1825]~E(x18251,x18252)+E(f466(x18253,x18251,x18254),f466(x18253,x18252,x18254))
% 163.24/162.98 [1826]~E(x18261,x18262)+E(f466(x18263,x18264,x18261),f466(x18263,x18264,x18262))
% 163.24/162.98 [1827]~E(x18271,x18272)+E(f543(x18271,x18273,x18274,x18275,x18276),f543(x18272,x18273,x18274,x18275,x18276))
% 163.24/162.98 [1828]~E(x18281,x18282)+E(f543(x18283,x18281,x18284,x18285,x18286),f543(x18283,x18282,x18284,x18285,x18286))
% 163.24/162.98 [1829]~E(x18291,x18292)+E(f543(x18293,x18294,x18291,x18295,x18296),f543(x18293,x18294,x18292,x18295,x18296))
% 163.24/162.98 [1830]~E(x18301,x18302)+E(f543(x18303,x18304,x18305,x18301,x18306),f543(x18303,x18304,x18305,x18302,x18306))
% 163.24/162.98 [1831]~E(x18311,x18312)+E(f543(x18313,x18314,x18315,x18316,x18311),f543(x18313,x18314,x18315,x18316,x18312))
% 163.24/162.98 [1832]~E(x18321,x18322)+E(f848(x18321,x18323,x18324,x18325,x18326),f848(x18322,x18323,x18324,x18325,x18326))
% 163.24/162.98 [1833]~E(x18331,x18332)+E(f848(x18333,x18331,x18334,x18335,x18336),f848(x18333,x18332,x18334,x18335,x18336))
% 163.24/162.98 [1834]~E(x18341,x18342)+E(f848(x18343,x18344,x18341,x18345,x18346),f848(x18343,x18344,x18342,x18345,x18346))
% 163.24/162.98 [1835]~E(x18351,x18352)+E(f848(x18353,x18354,x18355,x18351,x18356),f848(x18353,x18354,x18355,x18352,x18356))
% 163.24/162.98 [1836]~E(x18361,x18362)+E(f848(x18363,x18364,x18365,x18366,x18361),f848(x18363,x18364,x18365,x18366,x18362))
% 163.24/162.98 [1837]~E(x18371,x18372)+E(f253(x18371,x18373),f253(x18372,x18373))
% 163.24/162.98 [1838]~E(x18381,x18382)+E(f253(x18383,x18381),f253(x18383,x18382))
% 163.24/162.98 [1839]~E(x18391,x18392)+E(f743(x18391,x18393,x18394),f743(x18392,x18393,x18394))
% 163.24/162.98 [1840]~E(x18401,x18402)+E(f743(x18403,x18401,x18404),f743(x18403,x18402,x18404))
% 163.24/162.98 [1841]~E(x18411,x18412)+E(f743(x18413,x18414,x18411),f743(x18413,x18414,x18412))
% 163.24/162.98 [1842]~E(x18421,x18422)+E(f587(x18421,x18423,x18424,x18425),f587(x18422,x18423,x18424,x18425))
% 163.24/162.98 [1843]~E(x18431,x18432)+E(f587(x18433,x18431,x18434,x18435),f587(x18433,x18432,x18434,x18435))
% 163.24/162.98 [1844]~E(x18441,x18442)+E(f587(x18443,x18444,x18441,x18445),f587(x18443,x18444,x18442,x18445))
% 163.24/162.98 [1845]~E(x18451,x18452)+E(f587(x18453,x18454,x18455,x18451),f587(x18453,x18454,x18455,x18452))
% 163.24/162.98 [1846]~E(x18461,x18462)+E(f488(x18461,x18463),f488(x18462,x18463))
% 163.24/162.98 [1847]~E(x18471,x18472)+E(f488(x18473,x18471),f488(x18473,x18472))
% 163.24/162.98 [1848]~E(x18481,x18482)+E(f778(x18481,x18483,x18484,x18485,x18486),f778(x18482,x18483,x18484,x18485,x18486))
% 163.24/162.98 [1849]~E(x18491,x18492)+E(f778(x18493,x18491,x18494,x18495,x18496),f778(x18493,x18492,x18494,x18495,x18496))
% 163.24/162.98 [1850]~E(x18501,x18502)+E(f778(x18503,x18504,x18501,x18505,x18506),f778(x18503,x18504,x18502,x18505,x18506))
% 163.24/162.98 [1851]~E(x18511,x18512)+E(f778(x18513,x18514,x18515,x18511,x18516),f778(x18513,x18514,x18515,x18512,x18516))
% 163.24/162.98 [1852]~E(x18521,x18522)+E(f778(x18523,x18524,x18525,x18526,x18521),f778(x18523,x18524,x18525,x18526,x18522))
% 163.24/162.98 [1853]~E(x18531,x18532)+E(f717(x18531,x18533),f717(x18532,x18533))
% 163.24/162.98 [1854]~E(x18541,x18542)+E(f717(x18543,x18541),f717(x18543,x18542))
% 163.24/162.98 [1855]~E(x18551,x18552)+E(f833(x18551,x18553,x18554),f833(x18552,x18553,x18554))
% 163.24/162.98 [1856]~E(x18561,x18562)+E(f833(x18563,x18561,x18564),f833(x18563,x18562,x18564))
% 163.24/162.98 [1857]~E(x18571,x18572)+E(f833(x18573,x18574,x18571),f833(x18573,x18574,x18572))
% 163.24/162.98 [1858]~E(x18581,x18582)+E(f632(x18581,x18583,x18584,x18585),f632(x18582,x18583,x18584,x18585))
% 163.24/162.98 [1859]~E(x18591,x18592)+E(f632(x18593,x18591,x18594,x18595),f632(x18593,x18592,x18594,x18595))
% 163.24/162.98 [1860]~E(x18601,x18602)+E(f632(x18603,x18604,x18601,x18605),f632(x18603,x18604,x18602,x18605))
% 163.24/162.98 [1861]~E(x18611,x18612)+E(f632(x18613,x18614,x18615,x18611),f632(x18613,x18614,x18615,x18612))
% 163.24/162.98 [1862]~E(x18621,x18622)+E(f705(x18621,x18623,x18624,x18625),f705(x18622,x18623,x18624,x18625))
% 163.24/162.98 [1863]~E(x18631,x18632)+E(f705(x18633,x18631,x18634,x18635),f705(x18633,x18632,x18634,x18635))
% 163.24/162.98 [1864]~E(x18641,x18642)+E(f705(x18643,x18644,x18641,x18645),f705(x18643,x18644,x18642,x18645))
% 163.24/162.98 [1865]~E(x18651,x18652)+E(f705(x18653,x18654,x18655,x18651),f705(x18653,x18654,x18655,x18652))
% 163.24/162.98 [1866]~E(x18661,x18662)+E(f651(x18661,x18663,x18664),f651(x18662,x18663,x18664))
% 163.24/162.98 [1867]~E(x18671,x18672)+E(f651(x18673,x18671,x18674),f651(x18673,x18672,x18674))
% 163.24/162.98 [1868]~E(x18681,x18682)+E(f651(x18683,x18684,x18681),f651(x18683,x18684,x18682))
% 163.24/162.98 [1869]~E(x18691,x18692)+E(f540(x18691,x18693,x18694,x18695,x18696),f540(x18692,x18693,x18694,x18695,x18696))
% 163.24/162.98 [1870]~E(x18701,x18702)+E(f540(x18703,x18701,x18704,x18705,x18706),f540(x18703,x18702,x18704,x18705,x18706))
% 163.24/162.98 [1871]~E(x18711,x18712)+E(f540(x18713,x18714,x18711,x18715,x18716),f540(x18713,x18714,x18712,x18715,x18716))
% 163.24/162.98 [1872]~E(x18721,x18722)+E(f540(x18723,x18724,x18725,x18721,x18726),f540(x18723,x18724,x18725,x18722,x18726))
% 163.24/162.98 [1873]~E(x18731,x18732)+E(f540(x18733,x18734,x18735,x18736,x18731),f540(x18733,x18734,x18735,x18736,x18732))
% 163.24/162.98 [1874]~E(x18741,x18742)+E(f607(x18741,x18743,x18744),f607(x18742,x18743,x18744))
% 163.24/162.98 [1875]~E(x18751,x18752)+E(f607(x18753,x18751,x18754),f607(x18753,x18752,x18754))
% 163.24/162.98 [1876]~E(x18761,x18762)+E(f607(x18763,x18764,x18761),f607(x18763,x18764,x18762))
% 163.24/162.98 [1877]~E(x18771,x18772)+E(f692(x18771,x18773,x18774,x18775,x18776),f692(x18772,x18773,x18774,x18775,x18776))
% 163.24/162.98 [1878]~E(x18781,x18782)+E(f692(x18783,x18781,x18784,x18785,x18786),f692(x18783,x18782,x18784,x18785,x18786))
% 163.24/162.98 [1879]~E(x18791,x18792)+E(f692(x18793,x18794,x18791,x18795,x18796),f692(x18793,x18794,x18792,x18795,x18796))
% 163.24/162.98 [1880]~E(x18801,x18802)+E(f692(x18803,x18804,x18805,x18801,x18806),f692(x18803,x18804,x18805,x18802,x18806))
% 163.24/162.98 [1881]~E(x18811,x18812)+E(f692(x18813,x18814,x18815,x18816,x18811),f692(x18813,x18814,x18815,x18816,x18812))
% 163.24/162.98 [1882]~E(x18821,x18822)+E(f839(x18821,x18823),f839(x18822,x18823))
% 163.24/162.98 [1883]~E(x18831,x18832)+E(f839(x18833,x18831),f839(x18833,x18832))
% 163.24/162.98 [1884]~E(x18841,x18842)+E(f69(x18841,x18843,x18844),f69(x18842,x18843,x18844))
% 163.24/162.98 [1885]~E(x18851,x18852)+E(f69(x18853,x18851,x18854),f69(x18853,x18852,x18854))
% 163.24/162.98 [1886]~E(x18861,x18862)+E(f69(x18863,x18864,x18861),f69(x18863,x18864,x18862))
% 163.24/162.98 [1887]~E(x18871,x18872)+E(f609(x18871,x18873,x18874,x18875),f609(x18872,x18873,x18874,x18875))
% 163.24/162.98 [1888]~E(x18881,x18882)+E(f609(x18883,x18881,x18884,x18885),f609(x18883,x18882,x18884,x18885))
% 163.24/162.98 [1889]~E(x18891,x18892)+E(f609(x18893,x18894,x18891,x18895),f609(x18893,x18894,x18892,x18895))
% 163.24/162.98 [1890]~E(x18901,x18902)+E(f609(x18903,x18904,x18905,x18901),f609(x18903,x18904,x18905,x18902))
% 163.24/162.98 [1891]~E(x18911,x18912)+E(f513(x18911,x18913,x18914),f513(x18912,x18913,x18914))
% 163.24/162.98 [1892]~E(x18921,x18922)+E(f513(x18923,x18921,x18924),f513(x18923,x18922,x18924))
% 163.24/162.98 [1893]~E(x18931,x18932)+E(f513(x18933,x18934,x18931),f513(x18933,x18934,x18932))
% 163.24/162.98 [1894]~E(x18941,x18942)+E(f481(x18941,x18943),f481(x18942,x18943))
% 163.24/162.98 [1895]~E(x18951,x18952)+E(f481(x18953,x18951),f481(x18953,x18952))
% 163.24/162.98 [1896]~E(x18961,x18962)+E(f539(x18961,x18963,x18964,x18965,x18966),f539(x18962,x18963,x18964,x18965,x18966))
% 163.24/162.98 [1897]~E(x18971,x18972)+E(f539(x18973,x18971,x18974,x18975,x18976),f539(x18973,x18972,x18974,x18975,x18976))
% 163.24/162.98 [1898]~E(x18981,x18982)+E(f539(x18983,x18984,x18981,x18985,x18986),f539(x18983,x18984,x18982,x18985,x18986))
% 163.24/162.98 [1899]~E(x18991,x18992)+E(f539(x18993,x18994,x18995,x18991,x18996),f539(x18993,x18994,x18995,x18992,x18996))
% 163.24/162.98 [1900]~E(x19001,x19002)+E(f539(x19003,x19004,x19005,x19006,x19001),f539(x19003,x19004,x19005,x19006,x19002))
% 163.24/162.98 [1901]~E(x19011,x19012)+E(f701(x19011,x19013,x19014),f701(x19012,x19013,x19014))
% 163.24/162.98 [1902]~E(x19021,x19022)+E(f701(x19023,x19021,x19024),f701(x19023,x19022,x19024))
% 163.24/162.98 [1903]~E(x19031,x19032)+E(f701(x19033,x19034,x19031),f701(x19033,x19034,x19032))
% 163.24/162.98 [1904]~E(x19041,x19042)+E(f401(x19041,x19043,x19044),f401(x19042,x19043,x19044))
% 163.24/162.98 [1905]~E(x19051,x19052)+E(f401(x19053,x19051,x19054),f401(x19053,x19052,x19054))
% 163.24/162.98 [1906]~E(x19061,x19062)+E(f401(x19063,x19064,x19061),f401(x19063,x19064,x19062))
% 163.24/162.98 [1907]~E(x19071,x19072)+E(f509(x19071,x19073,x19074,x19075,x19076,x19077,x19078),f509(x19072,x19073,x19074,x19075,x19076,x19077,x19078))
% 163.24/162.98 [1908]~E(x19081,x19082)+E(f509(x19083,x19081,x19084,x19085,x19086,x19087,x19088),f509(x19083,x19082,x19084,x19085,x19086,x19087,x19088))
% 163.24/162.98 [1909]~E(x19091,x19092)+E(f509(x19093,x19094,x19091,x19095,x19096,x19097,x19098),f509(x19093,x19094,x19092,x19095,x19096,x19097,x19098))
% 163.24/162.98 [1910]~E(x19101,x19102)+E(f509(x19103,x19104,x19105,x19101,x19106,x19107,x19108),f509(x19103,x19104,x19105,x19102,x19106,x19107,x19108))
% 163.24/162.98 [1911]~E(x19111,x19112)+E(f509(x19113,x19114,x19115,x19116,x19111,x19117,x19118),f509(x19113,x19114,x19115,x19116,x19112,x19117,x19118))
% 163.24/162.98 [1912]~E(x19121,x19122)+E(f509(x19123,x19124,x19125,x19126,x19127,x19121,x19128),f509(x19123,x19124,x19125,x19126,x19127,x19122,x19128))
% 163.24/162.98 [1913]~E(x19131,x19132)+E(f509(x19133,x19134,x19135,x19136,x19137,x19138,x19131),f509(x19133,x19134,x19135,x19136,x19137,x19138,x19132))
% 163.24/162.98 [1914]~E(x19141,x19142)+E(f373(x19141,x19143),f373(x19142,x19143))
% 163.24/162.98 [1915]~E(x19151,x19152)+E(f373(x19153,x19151),f373(x19153,x19152))
% 163.24/162.98 [1916]~E(x19161,x19162)+E(f838(x19161,x19163,x19164,x19165,x19166),f838(x19162,x19163,x19164,x19165,x19166))
% 163.24/162.98 [1917]~E(x19171,x19172)+E(f838(x19173,x19171,x19174,x19175,x19176),f838(x19173,x19172,x19174,x19175,x19176))
% 163.24/162.98 [1918]~E(x19181,x19182)+E(f838(x19183,x19184,x19181,x19185,x19186),f838(x19183,x19184,x19182,x19185,x19186))
% 163.24/162.98 [1919]~E(x19191,x19192)+E(f838(x19193,x19194,x19195,x19191,x19196),f838(x19193,x19194,x19195,x19192,x19196))
% 163.24/162.98 [1920]~E(x19201,x19202)+E(f838(x19203,x19204,x19205,x19206,x19201),f838(x19203,x19204,x19205,x19206,x19202))
% 163.24/162.98 [1921]~E(x19211,x19212)+E(f366(x19211,x19213,x19214,x19215),f366(x19212,x19213,x19214,x19215))
% 163.24/162.98 [1922]~E(x19221,x19222)+E(f366(x19223,x19221,x19224,x19225),f366(x19223,x19222,x19224,x19225))
% 163.24/162.98 [1923]~E(x19231,x19232)+E(f366(x19233,x19234,x19231,x19235),f366(x19233,x19234,x19232,x19235))
% 163.24/162.98 [1924]~E(x19241,x19242)+E(f366(x19243,x19244,x19245,x19241),f366(x19243,x19244,x19245,x19242))
% 163.24/162.98 [1925]~E(x19251,x19252)+E(f548(x19251,x19253,x19254,x19255),f548(x19252,x19253,x19254,x19255))
% 163.24/162.98 [1926]~E(x19261,x19262)+E(f548(x19263,x19261,x19264,x19265),f548(x19263,x19262,x19264,x19265))
% 163.24/162.98 [1927]~E(x19271,x19272)+E(f548(x19273,x19274,x19271,x19275),f548(x19273,x19274,x19272,x19275))
% 163.24/162.98 [1928]~E(x19281,x19282)+E(f548(x19283,x19284,x19285,x19281),f548(x19283,x19284,x19285,x19282))
% 163.24/162.98 [1929]~E(x19291,x19292)+E(f346(x19291,x19293,x19294),f346(x19292,x19293,x19294))
% 163.24/162.98 [1930]~E(x19301,x19302)+E(f346(x19303,x19301,x19304),f346(x19303,x19302,x19304))
% 163.24/162.98 [1931]~E(x19311,x19312)+E(f346(x19313,x19314,x19311),f346(x19313,x19314,x19312))
% 163.24/162.98 [1932]~E(x19321,x19322)+E(f558(x19321,x19323,x19324,x19325),f558(x19322,x19323,x19324,x19325))
% 163.24/162.98 [1933]~E(x19331,x19332)+E(f558(x19333,x19331,x19334,x19335),f558(x19333,x19332,x19334,x19335))
% 163.24/162.98 [1934]~E(x19341,x19342)+E(f558(x19343,x19344,x19341,x19345),f558(x19343,x19344,x19342,x19345))
% 163.24/162.98 [1935]~E(x19351,x19352)+E(f558(x19353,x19354,x19355,x19351),f558(x19353,x19354,x19355,x19352))
% 163.24/162.98 [1936]~E(x19361,x19362)+E(f542(x19361,x19363),f542(x19362,x19363))
% 163.24/162.98 [1937]~E(x19371,x19372)+E(f542(x19373,x19371),f542(x19373,x19372))
% 163.24/162.98 [1938]~E(x19381,x19382)+E(f338(x19381),f338(x19382))
% 163.24/162.98 [1939]~E(x19391,x19392)+E(f602(x19391,x19393,x19394),f602(x19392,x19393,x19394))
% 163.24/162.98 [1940]~E(x19401,x19402)+E(f602(x19403,x19401,x19404),f602(x19403,x19402,x19404))
% 163.24/162.98 [1941]~E(x19411,x19412)+E(f602(x19413,x19414,x19411),f602(x19413,x19414,x19412))
% 163.24/162.98 [1942]~E(x19421,x19422)+E(f817(x19421,x19423,x19424,x19425),f817(x19422,x19423,x19424,x19425))
% 163.24/162.98 [1943]~E(x19431,x19432)+E(f817(x19433,x19431,x19434,x19435),f817(x19433,x19432,x19434,x19435))
% 163.24/162.98 [1944]~E(x19441,x19442)+E(f817(x19443,x19444,x19441,x19445),f817(x19443,x19444,x19442,x19445))
% 163.24/162.98 [1945]~E(x19451,x19452)+E(f817(x19453,x19454,x19455,x19451),f817(x19453,x19454,x19455,x19452))
% 163.24/162.98 [1946]~E(x19461,x19462)+E(f382(x19461,x19463,x19464,x19465,x19466,x19467),f382(x19462,x19463,x19464,x19465,x19466,x19467))
% 163.24/162.98 [1947]~E(x19471,x19472)+E(f382(x19473,x19471,x19474,x19475,x19476,x19477),f382(x19473,x19472,x19474,x19475,x19476,x19477))
% 163.24/162.98 [1948]~E(x19481,x19482)+E(f382(x19483,x19484,x19481,x19485,x19486,x19487),f382(x19483,x19484,x19482,x19485,x19486,x19487))
% 163.24/162.98 [1949]~E(x19491,x19492)+E(f382(x19493,x19494,x19495,x19491,x19496,x19497),f382(x19493,x19494,x19495,x19492,x19496,x19497))
% 163.24/162.98 [1950]~E(x19501,x19502)+E(f382(x19503,x19504,x19505,x19506,x19501,x19507),f382(x19503,x19504,x19505,x19506,x19502,x19507))
% 163.24/162.98 [1951]~E(x19511,x19512)+E(f382(x19513,x19514,x19515,x19516,x19517,x19511),f382(x19513,x19514,x19515,x19516,x19517,x19512))
% 163.24/162.98 [1952]~E(x19521,x19522)+E(f721(x19521,x19523,x19524,x19525,x19526,x19527),f721(x19522,x19523,x19524,x19525,x19526,x19527))
% 163.24/162.98 [1953]~E(x19531,x19532)+E(f721(x19533,x19531,x19534,x19535,x19536,x19537),f721(x19533,x19532,x19534,x19535,x19536,x19537))
% 163.24/162.98 [1954]~E(x19541,x19542)+E(f721(x19543,x19544,x19541,x19545,x19546,x19547),f721(x19543,x19544,x19542,x19545,x19546,x19547))
% 163.24/162.98 [1955]~E(x19551,x19552)+E(f721(x19553,x19554,x19555,x19551,x19556,x19557),f721(x19553,x19554,x19555,x19552,x19556,x19557))
% 163.24/162.98 [1956]~E(x19561,x19562)+E(f721(x19563,x19564,x19565,x19566,x19561,x19567),f721(x19563,x19564,x19565,x19566,x19562,x19567))
% 163.24/162.98 [1957]~E(x19571,x19572)+E(f721(x19573,x19574,x19575,x19576,x19577,x19571),f721(x19573,x19574,x19575,x19576,x19577,x19572))
% 163.24/162.98 [1958]~E(x19581,x19582)+E(f560(x19581,x19583,x19584,x19585),f560(x19582,x19583,x19584,x19585))
% 163.24/162.98 [1959]~E(x19591,x19592)+E(f560(x19593,x19591,x19594,x19595),f560(x19593,x19592,x19594,x19595))
% 163.24/162.98 [1960]~E(x19601,x19602)+E(f560(x19603,x19604,x19601,x19605),f560(x19603,x19604,x19602,x19605))
% 163.24/162.98 [1961]~E(x19611,x19612)+E(f560(x19613,x19614,x19615,x19611),f560(x19613,x19614,x19615,x19612))
% 163.24/162.98 [1962]~E(x19621,x19622)+E(f625(x19621,x19623,x19624),f625(x19622,x19623,x19624))
% 163.24/162.98 [1963]~E(x19631,x19632)+E(f625(x19633,x19631,x19634),f625(x19633,x19632,x19634))
% 163.24/162.98 [1964]~E(x19641,x19642)+E(f625(x19643,x19644,x19641),f625(x19643,x19644,x19642))
% 163.24/162.98 [1965]~E(x19651,x19652)+E(f832(x19651,x19653,x19654),f832(x19652,x19653,x19654))
% 163.24/162.98 [1966]~E(x19661,x19662)+E(f832(x19663,x19661,x19664),f832(x19663,x19662,x19664))
% 163.24/162.98 [1967]~E(x19671,x19672)+E(f832(x19673,x19674,x19671),f832(x19673,x19674,x19672))
% 163.24/162.98 [1968]~E(x19681,x19682)+E(f765(x19681,x19683,x19684,x19685,x19686),f765(x19682,x19683,x19684,x19685,x19686))
% 163.24/162.98 [1969]~E(x19691,x19692)+E(f765(x19693,x19691,x19694,x19695,x19696),f765(x19693,x19692,x19694,x19695,x19696))
% 163.24/162.98 [1970]~E(x19701,x19702)+E(f765(x19703,x19704,x19701,x19705,x19706),f765(x19703,x19704,x19702,x19705,x19706))
% 163.24/162.98 [1971]~E(x19711,x19712)+E(f765(x19713,x19714,x19715,x19711,x19716),f765(x19713,x19714,x19715,x19712,x19716))
% 163.24/162.98 [1972]~E(x19721,x19722)+E(f765(x19723,x19724,x19725,x19726,x19721),f765(x19723,x19724,x19725,x19726,x19722))
% 163.24/162.98 [1973]~E(x19731,x19732)+E(f96(x19731,x19733,x19734),f96(x19732,x19733,x19734))
% 163.24/162.98 [1974]~E(x19741,x19742)+E(f96(x19743,x19741,x19744),f96(x19743,x19742,x19744))
% 163.24/162.98 [1975]~E(x19751,x19752)+E(f96(x19753,x19754,x19751),f96(x19753,x19754,x19752))
% 163.24/162.98 [1976]~E(x19761,x19762)+E(f204(x19761,x19763,x19764,x19765),f204(x19762,x19763,x19764,x19765))
% 163.24/162.98 [1977]~E(x19771,x19772)+E(f204(x19773,x19771,x19774,x19775),f204(x19773,x19772,x19774,x19775))
% 163.24/162.98 [1978]~E(x19781,x19782)+E(f204(x19783,x19784,x19781,x19785),f204(x19783,x19784,x19782,x19785))
% 163.24/162.98 [1979]~E(x19791,x19792)+E(f204(x19793,x19794,x19795,x19791),f204(x19793,x19794,x19795,x19792))
% 163.24/162.98 [1980]~E(x19801,x19802)+E(f794(x19801,x19803,x19804),f794(x19802,x19803,x19804))
% 163.24/162.98 [1981]~E(x19811,x19812)+E(f794(x19813,x19811,x19814),f794(x19813,x19812,x19814))
% 163.24/162.98 [1982]~E(x19821,x19822)+E(f794(x19823,x19824,x19821),f794(x19823,x19824,x19822))
% 163.24/162.98 [1983]~E(x19831,x19832)+E(f824(x19831,x19833,x19834),f824(x19832,x19833,x19834))
% 163.24/162.98 [1984]~E(x19841,x19842)+E(f824(x19843,x19841,x19844),f824(x19843,x19842,x19844))
% 163.24/162.98 [1985]~E(x19851,x19852)+E(f824(x19853,x19854,x19851),f824(x19853,x19854,x19852))
% 163.24/162.98 [1986]~E(x19861,x19862)+E(f514(x19861,x19863,x19864),f514(x19862,x19863,x19864))
% 163.24/162.98 [1987]~E(x19871,x19872)+E(f514(x19873,x19871,x19874),f514(x19873,x19872,x19874))
% 163.24/162.98 [1988]~E(x19881,x19882)+E(f514(x19883,x19884,x19881),f514(x19883,x19884,x19882))
% 163.24/162.98 [1989]~E(x19891,x19892)+E(f610(x19891,x19893,x19894,x19895),f610(x19892,x19893,x19894,x19895))
% 163.24/162.98 [1990]~E(x19901,x19902)+E(f610(x19903,x19901,x19904,x19905),f610(x19903,x19902,x19904,x19905))
% 163.24/162.98 [1991]~E(x19911,x19912)+E(f610(x19913,x19914,x19911,x19915),f610(x19913,x19914,x19912,x19915))
% 163.24/162.98 [1992]~E(x19921,x19922)+E(f610(x19923,x19924,x19925,x19921),f610(x19923,x19924,x19925,x19922))
% 163.24/162.98 [1993]~E(x19931,x19932)+E(f546(x19931,x19933,x19934,x19935,x19936),f546(x19932,x19933,x19934,x19935,x19936))
% 163.24/162.98 [1994]~E(x19941,x19942)+E(f546(x19943,x19941,x19944,x19945,x19946),f546(x19943,x19942,x19944,x19945,x19946))
% 163.24/162.98 [1995]~E(x19951,x19952)+E(f546(x19953,x19954,x19951,x19955,x19956),f546(x19953,x19954,x19952,x19955,x19956))
% 163.24/162.98 [1996]~E(x19961,x19962)+E(f546(x19963,x19964,x19965,x19961,x19966),f546(x19963,x19964,x19965,x19962,x19966))
% 163.24/162.98 [1997]~E(x19971,x19972)+E(f546(x19973,x19974,x19975,x19976,x19971),f546(x19973,x19974,x19975,x19976,x19972))
% 163.24/162.98 [1998]~E(x19981,x19982)+E(f371(x19981,x19983),f371(x19982,x19983))
% 163.24/162.98 [1999]~E(x19991,x19992)+E(f371(x19993,x19991),f371(x19993,x19992))
% 163.24/162.98 [2000]~E(x20001,x20002)+E(f135(x20001,x20003),f135(x20002,x20003))
% 163.24/162.98 [2001]~E(x20011,x20012)+E(f135(x20013,x20011),f135(x20013,x20012))
% 163.24/162.98 [2002]~E(x20021,x20022)+E(f869(x20021,x20023,x20024,x20025),f869(x20022,x20023,x20024,x20025))
% 163.24/162.98 [2003]~E(x20031,x20032)+E(f869(x20033,x20031,x20034,x20035),f869(x20033,x20032,x20034,x20035))
% 163.24/162.98 [2004]~E(x20041,x20042)+E(f869(x20043,x20044,x20041,x20045),f869(x20043,x20044,x20042,x20045))
% 163.24/162.98 [2005]~E(x20051,x20052)+E(f869(x20053,x20054,x20055,x20051),f869(x20053,x20054,x20055,x20052))
% 163.24/162.98 [2006]~E(x20061,x20062)+E(f693(x20061,x20063,x20064,x20065,x20066),f693(x20062,x20063,x20064,x20065,x20066))
% 163.24/162.98 [2007]~E(x20071,x20072)+E(f693(x20073,x20071,x20074,x20075,x20076),f693(x20073,x20072,x20074,x20075,x20076))
% 163.24/162.98 [2008]~E(x20081,x20082)+E(f693(x20083,x20084,x20081,x20085,x20086),f693(x20083,x20084,x20082,x20085,x20086))
% 163.24/162.98 [2009]~E(x20091,x20092)+E(f693(x20093,x20094,x20095,x20091,x20096),f693(x20093,x20094,x20095,x20092,x20096))
% 163.24/162.98 [2010]~E(x20101,x20102)+E(f693(x20103,x20104,x20105,x20106,x20101),f693(x20103,x20104,x20105,x20106,x20102))
% 163.24/162.98 [2011]~E(x20111,x20112)+E(f372(x20111),f372(x20112))
% 163.24/162.98 [2012]~E(x20121,x20122)+E(f345(x20121,x20123),f345(x20122,x20123))
% 163.24/162.98 [2013]~E(x20131,x20132)+E(f345(x20133,x20131),f345(x20133,x20132))
% 163.24/162.98 [2014]~E(x20141,x20142)+E(f493(x20141,x20143,x20144,x20145),f493(x20142,x20143,x20144,x20145))
% 163.24/162.98 [2015]~E(x20151,x20152)+E(f493(x20153,x20151,x20154,x20155),f493(x20153,x20152,x20154,x20155))
% 163.24/162.98 [2016]~E(x20161,x20162)+E(f493(x20163,x20164,x20161,x20165),f493(x20163,x20164,x20162,x20165))
% 163.24/162.98 [2017]~E(x20171,x20172)+E(f493(x20173,x20174,x20175,x20171),f493(x20173,x20174,x20175,x20172))
% 163.24/162.98 [2018]~E(x20181,x20182)+E(f447(x20181,x20183),f447(x20182,x20183))
% 163.24/162.98 [2019]~E(x20191,x20192)+E(f447(x20193,x20191),f447(x20193,x20192))
% 163.24/162.98 [2020]~E(x20201,x20202)+E(f851(x20201,x20203,x20204,x20205),f851(x20202,x20203,x20204,x20205))
% 163.24/162.98 [2021]~E(x20211,x20212)+E(f851(x20213,x20211,x20214,x20215),f851(x20213,x20212,x20214,x20215))
% 163.24/162.98 [2022]~E(x20221,x20222)+E(f851(x20223,x20224,x20221,x20225),f851(x20223,x20224,x20222,x20225))
% 163.24/162.98 [2023]~E(x20231,x20232)+E(f851(x20233,x20234,x20235,x20231),f851(x20233,x20234,x20235,x20232))
% 163.24/162.98 [2024]~E(x20241,x20242)+E(f489(x20241,x20243,x20244),f489(x20242,x20243,x20244))
% 163.24/162.98 [2025]~E(x20251,x20252)+E(f489(x20253,x20251,x20254),f489(x20253,x20252,x20254))
% 163.24/162.98 [2026]~E(x20261,x20262)+E(f489(x20263,x20264,x20261),f489(x20263,x20264,x20262))
% 163.24/162.98 [2027]~E(x20271,x20272)+E(f252(x20271,x20273),f252(x20272,x20273))
% 163.24/162.98 [2028]~E(x20281,x20282)+E(f252(x20283,x20281),f252(x20283,x20282))
% 163.24/162.98 [2029]~E(x20291,x20292)+E(f829(x20291,x20293,x20294,x20295,x20296),f829(x20292,x20293,x20294,x20295,x20296))
% 163.24/162.98 [2030]~E(x20301,x20302)+E(f829(x20303,x20301,x20304,x20305,x20306),f829(x20303,x20302,x20304,x20305,x20306))
% 163.24/162.98 [2031]~E(x20311,x20312)+E(f829(x20313,x20314,x20311,x20315,x20316),f829(x20313,x20314,x20312,x20315,x20316))
% 163.24/162.98 [2032]~E(x20321,x20322)+E(f829(x20323,x20324,x20325,x20321,x20326),f829(x20323,x20324,x20325,x20322,x20326))
% 163.24/162.98 [2033]~E(x20331,x20332)+E(f829(x20333,x20334,x20335,x20336,x20331),f829(x20333,x20334,x20335,x20336,x20332))
% 163.24/162.98 [2034]~E(x20341,x20342)+E(f768(x20341,x20343),f768(x20342,x20343))
% 163.24/162.98 [2035]~E(x20351,x20352)+E(f768(x20353,x20351),f768(x20353,x20352))
% 163.24/162.98 [2036]~E(x20361,x20362)+E(f131(x20361,x20363),f131(x20362,x20363))
% 163.24/162.98 [2037]~E(x20371,x20372)+E(f131(x20373,x20371),f131(x20373,x20372))
% 163.24/162.98 [2038]~E(x20381,x20382)+E(f494(x20381,x20383,x20384,x20385),f494(x20382,x20383,x20384,x20385))
% 163.24/162.98 [2039]~E(x20391,x20392)+E(f494(x20393,x20391,x20394,x20395),f494(x20393,x20392,x20394,x20395))
% 163.24/162.98 [2040]~E(x20401,x20402)+E(f494(x20403,x20404,x20401,x20405),f494(x20403,x20404,x20402,x20405))
% 163.24/162.98 [2041]~E(x20411,x20412)+E(f494(x20413,x20414,x20415,x20411),f494(x20413,x20414,x20415,x20412))
% 163.24/162.98 [2042]~E(x20421,x20422)+E(f526(x20421,x20423,x20424,x20425,x20426),f526(x20422,x20423,x20424,x20425,x20426))
% 163.24/162.98 [2043]~E(x20431,x20432)+E(f526(x20433,x20431,x20434,x20435,x20436),f526(x20433,x20432,x20434,x20435,x20436))
% 163.24/162.98 [2044]~E(x20441,x20442)+E(f526(x20443,x20444,x20441,x20445,x20446),f526(x20443,x20444,x20442,x20445,x20446))
% 163.24/162.98 [2045]~E(x20451,x20452)+E(f526(x20453,x20454,x20455,x20451,x20456),f526(x20453,x20454,x20455,x20452,x20456))
% 163.24/162.98 [2046]~E(x20461,x20462)+E(f526(x20463,x20464,x20465,x20466,x20461),f526(x20463,x20464,x20465,x20466,x20462))
% 163.24/162.98 [2047]~E(x20471,x20472)+E(f860(x20471,x20473,x20474),f860(x20472,x20473,x20474))
% 163.24/162.98 [2048]~E(x20481,x20482)+E(f860(x20483,x20481,x20484),f860(x20483,x20482,x20484))
% 163.24/162.98 [2049]~E(x20491,x20492)+E(f860(x20493,x20494,x20491),f860(x20493,x20494,x20492))
% 163.24/162.98 [2050]~E(x20501,x20502)+E(f245(x20501,x20503,x20504,x20505,x20506),f245(x20502,x20503,x20504,x20505,x20506))
% 163.24/162.98 [2051]~E(x20511,x20512)+E(f245(x20513,x20511,x20514,x20515,x20516),f245(x20513,x20512,x20514,x20515,x20516))
% 163.24/162.98 [2052]~E(x20521,x20522)+E(f245(x20523,x20524,x20521,x20525,x20526),f245(x20523,x20524,x20522,x20525,x20526))
% 163.24/162.98 [2053]~E(x20531,x20532)+E(f245(x20533,x20534,x20535,x20531,x20536),f245(x20533,x20534,x20535,x20532,x20536))
% 163.24/162.98 [2054]~E(x20541,x20542)+E(f245(x20543,x20544,x20545,x20546,x20541),f245(x20543,x20544,x20545,x20546,x20542))
% 163.24/162.98 [2055]~E(x20551,x20552)+E(f670(x20551,x20553),f670(x20552,x20553))
% 163.24/162.98 [2056]~E(x20561,x20562)+E(f670(x20563,x20561),f670(x20563,x20562))
% 163.24/162.98 [2057]~E(x20571,x20572)+E(f448(x20571,x20573,x20574,x20575),f448(x20572,x20573,x20574,x20575))
% 163.24/162.98 [2058]~E(x20581,x20582)+E(f448(x20583,x20581,x20584,x20585),f448(x20583,x20582,x20584,x20585))
% 163.24/162.98 [2059]~E(x20591,x20592)+E(f448(x20593,x20594,x20591,x20595),f448(x20593,x20594,x20592,x20595))
% 163.24/162.98 [2060]~E(x20601,x20602)+E(f448(x20603,x20604,x20605,x20601),f448(x20603,x20604,x20605,x20602))
% 163.24/162.98 [2061]~E(x20611,x20612)+E(f579(x20611,x20613,x20614),f579(x20612,x20613,x20614))
% 163.24/162.98 [2062]~E(x20621,x20622)+E(f579(x20623,x20621,x20624),f579(x20623,x20622,x20624))
% 163.24/162.98 [2063]~E(x20631,x20632)+E(f579(x20633,x20634,x20631),f579(x20633,x20634,x20632))
% 163.24/162.98 [2064]~E(x20641,x20642)+E(f417(x20641,x20643,x20644),f417(x20642,x20643,x20644))
% 163.24/162.98 [2065]~E(x20651,x20652)+E(f417(x20653,x20651,x20654),f417(x20653,x20652,x20654))
% 163.24/162.98 [2066]~E(x20661,x20662)+E(f417(x20663,x20664,x20661),f417(x20663,x20664,x20662))
% 163.24/162.98 [2067]~E(x20671,x20672)+E(f620(x20671,x20673,x20674,x20675,x20676,x20677,x20678,x20679),f620(x20672,x20673,x20674,x20675,x20676,x20677,x20678,x20679))
% 163.24/162.98 [2068]~E(x20681,x20682)+E(f620(x20683,x20681,x20684,x20685,x20686,x20687,x20688,x20689),f620(x20683,x20682,x20684,x20685,x20686,x20687,x20688,x20689))
% 163.24/162.98 [2069]~E(x20691,x20692)+E(f620(x20693,x20694,x20691,x20695,x20696,x20697,x20698,x20699),f620(x20693,x20694,x20692,x20695,x20696,x20697,x20698,x20699))
% 163.24/162.98 [2070]~E(x20701,x20702)+E(f620(x20703,x20704,x20705,x20701,x20706,x20707,x20708,x20709),f620(x20703,x20704,x20705,x20702,x20706,x20707,x20708,x20709))
% 163.24/162.98 [2071]~E(x20711,x20712)+E(f620(x20713,x20714,x20715,x20716,x20711,x20717,x20718,x20719),f620(x20713,x20714,x20715,x20716,x20712,x20717,x20718,x20719))
% 163.24/162.98 [2072]~E(x20721,x20722)+E(f620(x20723,x20724,x20725,x20726,x20727,x20721,x20728,x20729),f620(x20723,x20724,x20725,x20726,x20727,x20722,x20728,x20729))
% 163.24/162.98 [2073]~E(x20731,x20732)+E(f620(x20733,x20734,x20735,x20736,x20737,x20738,x20731,x20739),f620(x20733,x20734,x20735,x20736,x20737,x20738,x20732,x20739))
% 163.24/162.98 [2074]~E(x20741,x20742)+E(f620(x20743,x20744,x20745,x20746,x20747,x20748,x20749,x20741),f620(x20743,x20744,x20745,x20746,x20747,x20748,x20749,x20742))
% 163.24/162.98 [2075]~E(x20751,x20752)+E(f643(x20751,x20753,x20754,x20755),f643(x20752,x20753,x20754,x20755))
% 163.24/162.98 [2076]~E(x20761,x20762)+E(f643(x20763,x20761,x20764,x20765),f643(x20763,x20762,x20764,x20765))
% 163.24/162.98 [2077]~E(x20771,x20772)+E(f643(x20773,x20774,x20771,x20775),f643(x20773,x20774,x20772,x20775))
% 163.24/162.98 [2078]~E(x20781,x20782)+E(f643(x20783,x20784,x20785,x20781),f643(x20783,x20784,x20785,x20782))
% 163.24/162.98 [2079]~E(x20791,x20792)+E(f783(x20791,x20793,x20794,x20795,x20796),f783(x20792,x20793,x20794,x20795,x20796))
% 163.24/162.98 [2080]~E(x20801,x20802)+E(f783(x20803,x20801,x20804,x20805,x20806),f783(x20803,x20802,x20804,x20805,x20806))
% 163.24/162.98 [2081]~E(x20811,x20812)+E(f783(x20813,x20814,x20811,x20815,x20816),f783(x20813,x20814,x20812,x20815,x20816))
% 163.24/162.98 [2082]~E(x20821,x20822)+E(f783(x20823,x20824,x20825,x20821,x20826),f783(x20823,x20824,x20825,x20822,x20826))
% 163.24/162.98 [2083]~E(x20831,x20832)+E(f783(x20833,x20834,x20835,x20836,x20831),f783(x20833,x20834,x20835,x20836,x20832))
% 163.24/162.98 [2084]~E(x20841,x20842)+E(f429(x20841,x20843,x20844),f429(x20842,x20843,x20844))
% 163.24/162.98 [2085]~E(x20851,x20852)+E(f429(x20853,x20851,x20854),f429(x20853,x20852,x20854))
% 163.24/162.98 [2086]~E(x20861,x20862)+E(f429(x20863,x20864,x20861),f429(x20863,x20864,x20862))
% 163.24/162.98 [2087]~E(x20871,x20872)+E(f842(x20871),f842(x20872))
% 163.24/162.98 [2088]~E(x20881,x20882)+E(f283(x20881,x20883,x20884),f283(x20882,x20883,x20884))
% 163.24/162.98 [2089]~E(x20891,x20892)+E(f283(x20893,x20891,x20894),f283(x20893,x20892,x20894))
% 163.24/162.98 [2090]~E(x20901,x20902)+E(f283(x20903,x20904,x20901),f283(x20903,x20904,x20902))
% 163.24/162.98 [2091]~E(x20911,x20912)+E(f476(x20911,x20913,x20914),f476(x20912,x20913,x20914))
% 163.24/162.98 [2092]~E(x20921,x20922)+E(f476(x20923,x20921,x20924),f476(x20923,x20922,x20924))
% 163.24/162.98 [2093]~E(x20931,x20932)+E(f476(x20933,x20934,x20931),f476(x20933,x20934,x20932))
% 163.24/162.98 [2094]~E(x20941,x20942)+E(f473(x20941,x20943,x20944),f473(x20942,x20943,x20944))
% 163.24/162.98 [2095]~E(x20951,x20952)+E(f473(x20953,x20951,x20954),f473(x20953,x20952,x20954))
% 163.24/162.98 [2096]~E(x20961,x20962)+E(f473(x20963,x20964,x20961),f473(x20963,x20964,x20962))
% 163.24/162.98 [2097]~E(x20971,x20972)+E(f404(x20971),f404(x20972))
% 163.24/162.98 [2098]~E(x20981,x20982)+E(f536(x20981,x20983,x20984,x20985),f536(x20982,x20983,x20984,x20985))
% 163.24/162.98 [2099]~E(x20991,x20992)+E(f536(x20993,x20991,x20994,x20995),f536(x20993,x20992,x20994,x20995))
% 163.24/162.98 [2100]~E(x21001,x21002)+E(f536(x21003,x21004,x21001,x21005),f536(x21003,x21004,x21002,x21005))
% 163.24/162.98 [2101]~E(x21011,x21012)+E(f536(x21013,x21014,x21015,x21011),f536(x21013,x21014,x21015,x21012))
% 163.24/162.98 [2102]~E(x21021,x21022)+E(f873(x21021,x21023,x21024,x21025,x21026,x21027),f873(x21022,x21023,x21024,x21025,x21026,x21027))
% 163.24/162.98 [2103]~E(x21031,x21032)+E(f873(x21033,x21031,x21034,x21035,x21036,x21037),f873(x21033,x21032,x21034,x21035,x21036,x21037))
% 163.24/162.98 [2104]~E(x21041,x21042)+E(f873(x21043,x21044,x21041,x21045,x21046,x21047),f873(x21043,x21044,x21042,x21045,x21046,x21047))
% 163.24/162.98 [2105]~E(x21051,x21052)+E(f873(x21053,x21054,x21055,x21051,x21056,x21057),f873(x21053,x21054,x21055,x21052,x21056,x21057))
% 163.24/162.98 [2106]~E(x21061,x21062)+E(f873(x21063,x21064,x21065,x21066,x21061,x21067),f873(x21063,x21064,x21065,x21066,x21062,x21067))
% 163.24/162.98 [2107]~E(x21071,x21072)+E(f873(x21073,x21074,x21075,x21076,x21077,x21071),f873(x21073,x21074,x21075,x21076,x21077,x21072))
% 163.24/162.98 [2108]~E(x21081,x21082)+E(f569(x21081,x21083,x21084),f569(x21082,x21083,x21084))
% 163.24/162.98 [2109]~E(x21091,x21092)+E(f569(x21093,x21091,x21094),f569(x21093,x21092,x21094))
% 163.24/162.98 [2110]~E(x21101,x21102)+E(f569(x21103,x21104,x21101),f569(x21103,x21104,x21102))
% 163.24/162.98 [2111]~E(x21111,x21112)+E(f500(x21111,x21113,x21114),f500(x21112,x21113,x21114))
% 163.24/162.98 [2112]~E(x21121,x21122)+E(f500(x21123,x21121,x21124),f500(x21123,x21122,x21124))
% 163.24/162.98 [2113]~E(x21131,x21132)+E(f500(x21133,x21134,x21131),f500(x21133,x21134,x21132))
% 163.24/162.98 [2114]~E(x21141,x21142)+E(f769(x21141,x21143,x21144),f769(x21142,x21143,x21144))
% 163.24/162.98 [2115]~E(x21151,x21152)+E(f769(x21153,x21151,x21154),f769(x21153,x21152,x21154))
% 163.24/162.98 [2116]~E(x21161,x21162)+E(f769(x21163,x21164,x21161),f769(x21163,x21164,x21162))
% 163.24/162.98 [2117]~E(x21171,x21172)+E(f596(x21171,x21173,x21174,x21175,x21176),f596(x21172,x21173,x21174,x21175,x21176))
% 163.24/162.98 [2118]~E(x21181,x21182)+E(f596(x21183,x21181,x21184,x21185,x21186),f596(x21183,x21182,x21184,x21185,x21186))
% 163.24/162.98 [2119]~E(x21191,x21192)+E(f596(x21193,x21194,x21191,x21195,x21196),f596(x21193,x21194,x21192,x21195,x21196))
% 163.24/162.98 [2120]~E(x21201,x21202)+E(f596(x21203,x21204,x21205,x21201,x21206),f596(x21203,x21204,x21205,x21202,x21206))
% 163.24/162.98 [2121]~E(x21211,x21212)+E(f596(x21213,x21214,x21215,x21216,x21211),f596(x21213,x21214,x21215,x21216,x21212))
% 163.24/162.98 [2122]~E(x21221,x21222)+E(f19(x21221,x21223,x21224,x21225),f19(x21222,x21223,x21224,x21225))
% 163.24/162.98 [2123]~E(x21231,x21232)+E(f19(x21233,x21231,x21234,x21235),f19(x21233,x21232,x21234,x21235))
% 163.24/162.98 [2124]~E(x21241,x21242)+E(f19(x21243,x21244,x21241,x21245),f19(x21243,x21244,x21242,x21245))
% 163.24/162.98 [2125]~E(x21251,x21252)+E(f19(x21253,x21254,x21255,x21251),f19(x21253,x21254,x21255,x21252))
% 163.24/162.98 [2126]~E(x21261,x21262)+E(f442(x21261,x21263,x21264,x21265),f442(x21262,x21263,x21264,x21265))
% 163.24/162.98 [2127]~E(x21271,x21272)+E(f442(x21273,x21271,x21274,x21275),f442(x21273,x21272,x21274,x21275))
% 163.24/162.98 [2128]~E(x21281,x21282)+E(f442(x21283,x21284,x21281,x21285),f442(x21283,x21284,x21282,x21285))
% 163.24/162.98 [2129]~E(x21291,x21292)+E(f442(x21293,x21294,x21295,x21291),f442(x21293,x21294,x21295,x21292))
% 163.24/162.98 [2130]~E(x21301,x21302)+E(f715(x21301,x21303,x21304,x21305),f715(x21302,x21303,x21304,x21305))
% 163.24/162.98 [2131]~E(x21311,x21312)+E(f715(x21313,x21311,x21314,x21315),f715(x21313,x21312,x21314,x21315))
% 163.24/162.98 [2132]~E(x21321,x21322)+E(f715(x21323,x21324,x21321,x21325),f715(x21323,x21324,x21322,x21325))
% 163.24/162.98 [2133]~E(x21331,x21332)+E(f715(x21333,x21334,x21335,x21331),f715(x21333,x21334,x21335,x21332))
% 163.24/162.98 [2134]~E(x21341,x21342)+E(f737(x21341,x21343,x21344,x21345),f737(x21342,x21343,x21344,x21345))
% 163.24/162.98 [2135]~E(x21351,x21352)+E(f737(x21353,x21351,x21354,x21355),f737(x21353,x21352,x21354,x21355))
% 163.24/162.98 [2136]~E(x21361,x21362)+E(f737(x21363,x21364,x21361,x21365),f737(x21363,x21364,x21362,x21365))
% 163.24/162.98 [2137]~E(x21371,x21372)+E(f737(x21373,x21374,x21375,x21371),f737(x21373,x21374,x21375,x21372))
% 163.24/162.98 [2138]~E(x21381,x21382)+E(f176(x21381,x21383,x21384),f176(x21382,x21383,x21384))
% 163.24/162.98 [2139]~E(x21391,x21392)+E(f176(x21393,x21391,x21394),f176(x21393,x21392,x21394))
% 163.24/162.98 [2140]~E(x21401,x21402)+E(f176(x21403,x21404,x21401),f176(x21403,x21404,x21402))
% 163.24/162.98 [2141]~E(x21411,x21412)+E(f405(x21411,x21413),f405(x21412,x21413))
% 163.24/162.98 [2142]~E(x21421,x21422)+E(f405(x21423,x21421),f405(x21423,x21422))
% 163.24/162.98 [2143]~E(x21431,x21432)+E(f638(x21431,x21433),f638(x21432,x21433))
% 163.24/162.98 [2144]~E(x21441,x21442)+E(f638(x21443,x21441),f638(x21443,x21442))
% 163.24/162.98 [2145]~E(x21451,x21452)+E(f419(x21451,x21453,x21454,x21455),f419(x21452,x21453,x21454,x21455))
% 163.24/162.98 [2146]~E(x21461,x21462)+E(f419(x21463,x21461,x21464,x21465),f419(x21463,x21462,x21464,x21465))
% 163.24/162.98 [2147]~E(x21471,x21472)+E(f419(x21473,x21474,x21471,x21475),f419(x21473,x21474,x21472,x21475))
% 163.24/162.98 [2148]~E(x21481,x21482)+E(f419(x21483,x21484,x21485,x21481),f419(x21483,x21484,x21485,x21482))
% 163.24/162.98 [2149]~E(x21491,x21492)+E(f519(x21491,x21493,x21494),f519(x21492,x21493,x21494))
% 163.24/162.98 [2150]~E(x21501,x21502)+E(f519(x21503,x21501,x21504),f519(x21503,x21502,x21504))
% 163.24/162.98 [2151]~E(x21511,x21512)+E(f519(x21513,x21514,x21511),f519(x21513,x21514,x21512))
% 163.24/162.98 [2152]~E(x21521,x21522)+E(f541(x21521,x21523,x21524,x21525,x21526),f541(x21522,x21523,x21524,x21525,x21526))
% 163.24/162.98 [2153]~E(x21531,x21532)+E(f541(x21533,x21531,x21534,x21535,x21536),f541(x21533,x21532,x21534,x21535,x21536))
% 163.24/162.98 [2154]~E(x21541,x21542)+E(f541(x21543,x21544,x21541,x21545,x21546),f541(x21543,x21544,x21542,x21545,x21546))
% 163.24/162.98 [2155]~E(x21551,x21552)+E(f541(x21553,x21554,x21555,x21551,x21556),f541(x21553,x21554,x21555,x21552,x21556))
% 163.24/162.98 [2156]~E(x21561,x21562)+E(f541(x21563,x21564,x21565,x21566,x21561),f541(x21563,x21564,x21565,x21566,x21562))
% 163.24/162.98 [2157]~E(x21571,x21572)+E(f845(x21571,x21573,x21574),f845(x21572,x21573,x21574))
% 163.24/162.98 [2158]~E(x21581,x21582)+E(f845(x21583,x21581,x21584),f845(x21583,x21582,x21584))
% 163.24/162.98 [2159]~E(x21591,x21592)+E(f845(x21593,x21594,x21591),f845(x21593,x21594,x21592))
% 163.24/162.98 [2160]~E(x21601,x21602)+E(f853(x21601,x21603,x21604,x21605),f853(x21602,x21603,x21604,x21605))
% 163.24/162.98 [2161]~E(x21611,x21612)+E(f853(x21613,x21611,x21614,x21615),f853(x21613,x21612,x21614,x21615))
% 163.24/162.98 [2162]~E(x21621,x21622)+E(f853(x21623,x21624,x21621,x21625),f853(x21623,x21624,x21622,x21625))
% 163.24/162.98 [2163]~E(x21631,x21632)+E(f853(x21633,x21634,x21635,x21631),f853(x21633,x21634,x21635,x21632))
% 163.24/162.98 [2164]~E(x21641,x21642)+E(f384(x21641,x21643,x21644,x21645,x21646,x21647,x21648,x21649),f384(x21642,x21643,x21644,x21645,x21646,x21647,x21648,x21649))
% 163.24/162.98 [2165]~E(x21651,x21652)+E(f384(x21653,x21651,x21654,x21655,x21656,x21657,x21658,x21659),f384(x21653,x21652,x21654,x21655,x21656,x21657,x21658,x21659))
% 163.24/162.98 [2166]~E(x21661,x21662)+E(f384(x21663,x21664,x21661,x21665,x21666,x21667,x21668,x21669),f384(x21663,x21664,x21662,x21665,x21666,x21667,x21668,x21669))
% 163.24/162.98 [2167]~E(x21671,x21672)+E(f384(x21673,x21674,x21675,x21671,x21676,x21677,x21678,x21679),f384(x21673,x21674,x21675,x21672,x21676,x21677,x21678,x21679))
% 163.24/162.98 [2168]~E(x21681,x21682)+E(f384(x21683,x21684,x21685,x21686,x21681,x21687,x21688,x21689),f384(x21683,x21684,x21685,x21686,x21682,x21687,x21688,x21689))
% 163.24/162.98 [2169]~E(x21691,x21692)+E(f384(x21693,x21694,x21695,x21696,x21697,x21691,x21698,x21699),f384(x21693,x21694,x21695,x21696,x21697,x21692,x21698,x21699))
% 163.24/162.98 [2170]~E(x21701,x21702)+E(f384(x21703,x21704,x21705,x21706,x21707,x21708,x21701,x21709),f384(x21703,x21704,x21705,x21706,x21707,x21708,x21702,x21709))
% 163.24/162.98 [2171]~E(x21711,x21712)+E(f384(x21713,x21714,x21715,x21716,x21717,x21718,x21719,x21711),f384(x21713,x21714,x21715,x21716,x21717,x21718,x21719,x21712))
% 163.24/162.98 [2172]~E(x21721,x21722)+E(f746(x21721,x21723,x21724),f746(x21722,x21723,x21724))
% 163.24/162.98 [2173]~E(x21731,x21732)+E(f746(x21733,x21731,x21734),f746(x21733,x21732,x21734))
% 163.24/162.98 [2174]~E(x21741,x21742)+E(f746(x21743,x21744,x21741),f746(x21743,x21744,x21742))
% 163.24/162.98 [2175]~E(x21751,x21752)+E(f563(x21751,x21753,x21754,x21755,x21756),f563(x21752,x21753,x21754,x21755,x21756))
% 163.24/162.98 [2176]~E(x21761,x21762)+E(f563(x21763,x21761,x21764,x21765,x21766),f563(x21763,x21762,x21764,x21765,x21766))
% 163.24/162.98 [2177]~E(x21771,x21772)+E(f563(x21773,x21774,x21771,x21775,x21776),f563(x21773,x21774,x21772,x21775,x21776))
% 163.24/162.98 [2178]~E(x21781,x21782)+E(f563(x21783,x21784,x21785,x21781,x21786),f563(x21783,x21784,x21785,x21782,x21786))
% 163.24/162.98 [2179]~E(x21791,x21792)+E(f563(x21793,x21794,x21795,x21796,x21791),f563(x21793,x21794,x21795,x21796,x21792))
% 163.24/162.98 [2180]~E(x21801,x21802)+E(f421(x21801,x21803,x21804,x21805),f421(x21802,x21803,x21804,x21805))
% 163.24/162.98 [2181]~E(x21811,x21812)+E(f421(x21813,x21811,x21814,x21815),f421(x21813,x21812,x21814,x21815))
% 163.24/162.98 [2182]~E(x21821,x21822)+E(f421(x21823,x21824,x21821,x21825),f421(x21823,x21824,x21822,x21825))
% 163.24/162.98 [2183]~E(x21831,x21832)+E(f421(x21833,x21834,x21835,x21831),f421(x21833,x21834,x21835,x21832))
% 163.24/162.98 [2184]~E(x21841,x21842)+E(f435(x21841,x21843,x21844,x21845),f435(x21842,x21843,x21844,x21845))
% 163.24/162.98 [2185]~E(x21851,x21852)+E(f435(x21853,x21851,x21854,x21855),f435(x21853,x21852,x21854,x21855))
% 163.24/162.98 [2186]~E(x21861,x21862)+E(f435(x21863,x21864,x21861,x21865),f435(x21863,x21864,x21862,x21865))
% 163.24/162.98 [2187]~E(x21871,x21872)+E(f435(x21873,x21874,x21875,x21871),f435(x21873,x21874,x21875,x21872))
% 163.24/162.98 [2188]~E(x21881,x21882)+E(f413(x21881,x21883),f413(x21882,x21883))
% 163.24/162.98 [2189]~E(x21891,x21892)+E(f413(x21893,x21891),f413(x21893,x21892))
% 163.24/162.98 [2190]~E(x21901,x21902)+E(f652(x21901,x21903,x21904,x21905,x21906),f652(x21902,x21903,x21904,x21905,x21906))
% 163.24/162.98 [2191]~E(x21911,x21912)+E(f652(x21913,x21911,x21914,x21915,x21916),f652(x21913,x21912,x21914,x21915,x21916))
% 163.24/162.98 [2192]~E(x21921,x21922)+E(f652(x21923,x21924,x21921,x21925,x21926),f652(x21923,x21924,x21922,x21925,x21926))
% 163.24/162.98 [2193]~E(x21931,x21932)+E(f652(x21933,x21934,x21935,x21931,x21936),f652(x21933,x21934,x21935,x21932,x21936))
% 163.24/162.98 [2194]~E(x21941,x21942)+E(f652(x21943,x21944,x21945,x21946,x21941),f652(x21943,x21944,x21945,x21946,x21942))
% 163.24/162.98 [2195]~E(x21951,x21952)+E(f205(x21951,x21953,x21954,x21955),f205(x21952,x21953,x21954,x21955))
% 163.24/162.98 [2196]~E(x21961,x21962)+E(f205(x21963,x21961,x21964,x21965),f205(x21963,x21962,x21964,x21965))
% 163.24/162.98 [2197]~E(x21971,x21972)+E(f205(x21973,x21974,x21971,x21975),f205(x21973,x21974,x21972,x21975))
% 163.24/162.98 [2198]~E(x21981,x21982)+E(f205(x21983,x21984,x21985,x21981),f205(x21983,x21984,x21985,x21982))
% 163.24/162.98 [2199]~E(x21991,x21992)+E(f702(x21991,x21993),f702(x21992,x21993))
% 163.24/162.98 [2200]~E(x22001,x22002)+E(f702(x22003,x22001),f702(x22003,x22002))
% 163.24/162.98 [2201]~E(x22011,x22012)+E(f585(x22011,x22013,x22014),f585(x22012,x22013,x22014))
% 163.24/162.98 [2202]~E(x22021,x22022)+E(f585(x22023,x22021,x22024),f585(x22023,x22022,x22024))
% 163.24/162.98 [2203]~E(x22031,x22032)+E(f585(x22033,x22034,x22031),f585(x22033,x22034,x22032))
% 163.24/162.98 [2204]~E(x22041,x22042)+E(f676(x22041,x22043,x22044,x22045),f676(x22042,x22043,x22044,x22045))
% 163.24/162.98 [2205]~E(x22051,x22052)+E(f676(x22053,x22051,x22054,x22055),f676(x22053,x22052,x22054,x22055))
% 163.24/162.98 [2206]~E(x22061,x22062)+E(f676(x22063,x22064,x22061,x22065),f676(x22063,x22064,x22062,x22065))
% 163.24/162.98 [2207]~E(x22071,x22072)+E(f676(x22073,x22074,x22075,x22071),f676(x22073,x22074,x22075,x22072))
% 163.24/162.98 [2208]~E(x22081,x22082)+E(f575(x22081,x22083,x22084),f575(x22082,x22083,x22084))
% 163.24/162.98 [2209]~E(x22091,x22092)+E(f575(x22093,x22091,x22094),f575(x22093,x22092,x22094))
% 163.24/162.98 [2210]~E(x22101,x22102)+E(f575(x22103,x22104,x22101),f575(x22103,x22104,x22102))
% 163.24/162.98 [2211]~E(x22111,x22112)+E(f865(x22111,x22113,x22114,x22115,x22116,x22117),f865(x22112,x22113,x22114,x22115,x22116,x22117))
% 163.24/162.98 [2212]~E(x22121,x22122)+E(f865(x22123,x22121,x22124,x22125,x22126,x22127),f865(x22123,x22122,x22124,x22125,x22126,x22127))
% 163.24/162.98 [2213]~E(x22131,x22132)+E(f865(x22133,x22134,x22131,x22135,x22136,x22137),f865(x22133,x22134,x22132,x22135,x22136,x22137))
% 163.24/162.98 [2214]~E(x22141,x22142)+E(f865(x22143,x22144,x22145,x22141,x22146,x22147),f865(x22143,x22144,x22145,x22142,x22146,x22147))
% 163.24/162.98 [2215]~E(x22151,x22152)+E(f865(x22153,x22154,x22155,x22156,x22151,x22157),f865(x22153,x22154,x22155,x22156,x22152,x22157))
% 163.24/162.98 [2216]~E(x22161,x22162)+E(f865(x22163,x22164,x22165,x22166,x22167,x22161),f865(x22163,x22164,x22165,x22166,x22167,x22162))
% 163.24/162.98 [2217]~E(x22171,x22172)+E(f700(x22171,x22173),f700(x22172,x22173))
% 163.24/162.98 [2218]~E(x22181,x22182)+E(f700(x22183,x22181),f700(x22183,x22182))
% 163.24/162.98 [2219]~E(x22191,x22192)+E(f365(x22191,x22193,x22194,x22195),f365(x22192,x22193,x22194,x22195))
% 163.24/162.98 [2220]~E(x22201,x22202)+E(f365(x22203,x22201,x22204,x22205),f365(x22203,x22202,x22204,x22205))
% 163.24/162.98 [2221]~E(x22211,x22212)+E(f365(x22213,x22214,x22211,x22215),f365(x22213,x22214,x22212,x22215))
% 163.24/162.98 [2222]~E(x22221,x22222)+E(f365(x22223,x22224,x22225,x22221),f365(x22223,x22224,x22225,x22222))
% 163.24/162.98 [2223]~E(x22231,x22232)+E(f347(x22231,x22233,x22234),f347(x22232,x22233,x22234))
% 163.24/162.98 [2224]~E(x22241,x22242)+E(f347(x22243,x22241,x22244),f347(x22243,x22242,x22244))
% 163.24/162.98 [2225]~E(x22251,x22252)+E(f347(x22253,x22254,x22251),f347(x22253,x22254,x22252))
% 163.24/162.98 [2226]~E(x22261,x22262)+E(f614(x22261,x22263,x22264,x22265),f614(x22262,x22263,x22264,x22265))
% 163.24/162.98 [2227]~E(x22271,x22272)+E(f614(x22273,x22271,x22274,x22275),f614(x22273,x22272,x22274,x22275))
% 163.24/162.98 [2228]~E(x22281,x22282)+E(f614(x22283,x22284,x22281,x22285),f614(x22283,x22284,x22282,x22285))
% 163.24/162.98 [2229]~E(x22291,x22292)+E(f614(x22293,x22294,x22295,x22291),f614(x22293,x22294,x22295,x22292))
% 163.24/162.98 [2230]~E(x22301,x22302)+E(f386(x22301),f386(x22302))
% 163.24/162.98 [2231]~E(x22311,x22312)+E(f214(x22311),f214(x22312))
% 163.24/162.98 [2232]~E(x22321,x22322)+E(f836(x22321,x22323,x22324,x22325),f836(x22322,x22323,x22324,x22325))
% 163.24/162.98 [2233]~E(x22331,x22332)+E(f836(x22333,x22331,x22334,x22335),f836(x22333,x22332,x22334,x22335))
% 163.24/162.98 [2234]~E(x22341,x22342)+E(f836(x22343,x22344,x22341,x22345),f836(x22343,x22344,x22342,x22345))
% 163.24/162.98 [2235]~E(x22351,x22352)+E(f836(x22353,x22354,x22355,x22351),f836(x22353,x22354,x22355,x22352))
% 163.24/162.98 [2236]~E(x22361,x22362)+E(f603(x22361,x22363,x22364,x22365),f603(x22362,x22363,x22364,x22365))
% 163.24/162.98 [2237]~E(x22371,x22372)+E(f603(x22373,x22371,x22374,x22375),f603(x22373,x22372,x22374,x22375))
% 163.24/162.98 [2238]~E(x22381,x22382)+E(f603(x22383,x22384,x22381,x22385),f603(x22383,x22384,x22382,x22385))
% 163.24/162.98 [2239]~E(x22391,x22392)+E(f603(x22393,x22394,x22395,x22391),f603(x22393,x22394,x22395,x22392))
% 163.24/162.98 [2240]~E(x22401,x22402)+E(f391(x22401),f391(x22402))
% 163.24/162.98 [2241]~E(x22411,x22412)+E(f840(x22411,x22413),f840(x22412,x22413))
% 163.24/162.98 [2242]~E(x22421,x22422)+E(f840(x22423,x22421),f840(x22423,x22422))
% 163.24/162.98 [2243]~E(x22431,x22432)+E(f554(x22431,x22433),f554(x22432,x22433))
% 163.24/162.98 [2244]~E(x22441,x22442)+E(f554(x22443,x22441),f554(x22443,x22442))
% 163.24/162.98 [2245]~E(x22451,x22452)+E(f403(x22451,x22453),f403(x22452,x22453))
% 163.24/162.98 [2246]~E(x22461,x22462)+E(f403(x22463,x22461),f403(x22463,x22462))
% 163.24/162.98 [2247]~E(x22471,x22472)+E(f95(x22471),f95(x22472))
% 163.24/162.98 [2248]~E(x22481,x22482)+E(f122(x22481,x22483,x22484),f122(x22482,x22483,x22484))
% 163.24/162.98 [2249]~E(x22491,x22492)+E(f122(x22493,x22491,x22494),f122(x22493,x22492,x22494))
% 163.24/162.98 [2250]~E(x22501,x22502)+E(f122(x22503,x22504,x22501),f122(x22503,x22504,x22502))
% 163.24/162.98 [2251]~E(x22511,x22512)+E(f224(x22511,x22513),f224(x22512,x22513))
% 163.24/162.98 [2252]~E(x22521,x22522)+E(f224(x22523,x22521),f224(x22523,x22522))
% 163.24/162.98 [2253]~E(x22531,x22532)+E(f529(x22531,x22533,x22534,x22535,x22536),f529(x22532,x22533,x22534,x22535,x22536))
% 163.24/162.98 [2254]~E(x22541,x22542)+E(f529(x22543,x22541,x22544,x22545,x22546),f529(x22543,x22542,x22544,x22545,x22546))
% 163.24/162.98 [2255]~E(x22551,x22552)+E(f529(x22553,x22554,x22551,x22555,x22556),f529(x22553,x22554,x22552,x22555,x22556))
% 163.24/162.98 [2256]~E(x22561,x22562)+E(f529(x22563,x22564,x22565,x22561,x22566),f529(x22563,x22564,x22565,x22562,x22566))
% 163.24/162.98 [2257]~E(x22571,x22572)+E(f529(x22573,x22574,x22575,x22576,x22571),f529(x22573,x22574,x22575,x22576,x22572))
% 163.24/162.98 [2258]~E(x22581,x22582)+E(f353(x22581,x22583,x22584,x22585),f353(x22582,x22583,x22584,x22585))
% 163.24/162.98 [2259]~E(x22591,x22592)+E(f353(x22593,x22591,x22594,x22595),f353(x22593,x22592,x22594,x22595))
% 163.24/162.98 [2260]~E(x22601,x22602)+E(f353(x22603,x22604,x22601,x22605),f353(x22603,x22604,x22602,x22605))
% 163.24/162.98 [2261]~E(x22611,x22612)+E(f353(x22613,x22614,x22615,x22611),f353(x22613,x22614,x22615,x22612))
% 163.24/162.98 [2262]~E(x22621,x22622)+E(f712(x22621,x22623,x22624),f712(x22622,x22623,x22624))
% 163.24/162.98 [2263]~E(x22631,x22632)+E(f712(x22633,x22631,x22634),f712(x22633,x22632,x22634))
% 163.24/162.98 [2264]~E(x22641,x22642)+E(f712(x22643,x22644,x22641),f712(x22643,x22644,x22642))
% 163.24/162.98 [2265]~E(x22651,x22652)+E(f752(x22651,x22653,x22654,x22655,x22656,x22657,x22658),f752(x22652,x22653,x22654,x22655,x22656,x22657,x22658))
% 163.24/162.98 [2266]~E(x22661,x22662)+E(f752(x22663,x22661,x22664,x22665,x22666,x22667,x22668),f752(x22663,x22662,x22664,x22665,x22666,x22667,x22668))
% 163.24/162.98 [2267]~E(x22671,x22672)+E(f752(x22673,x22674,x22671,x22675,x22676,x22677,x22678),f752(x22673,x22674,x22672,x22675,x22676,x22677,x22678))
% 163.24/162.98 [2268]~E(x22681,x22682)+E(f752(x22683,x22684,x22685,x22681,x22686,x22687,x22688),f752(x22683,x22684,x22685,x22682,x22686,x22687,x22688))
% 163.24/162.98 [2269]~E(x22691,x22692)+E(f752(x22693,x22694,x22695,x22696,x22691,x22697,x22698),f752(x22693,x22694,x22695,x22696,x22692,x22697,x22698))
% 163.24/162.98 [2270]~E(x22701,x22702)+E(f752(x22703,x22704,x22705,x22706,x22707,x22701,x22708),f752(x22703,x22704,x22705,x22706,x22707,x22702,x22708))
% 163.24/162.98 [2271]~E(x22711,x22712)+E(f752(x22713,x22714,x22715,x22716,x22717,x22718,x22711),f752(x22713,x22714,x22715,x22716,x22717,x22718,x22712))
% 163.24/162.98 [2272]~E(x22721,x22722)+E(f375(x22721,x22723,x22724),f375(x22722,x22723,x22724))
% 163.24/162.98 [2273]~E(x22731,x22732)+E(f375(x22733,x22731,x22734),f375(x22733,x22732,x22734))
% 163.24/162.98 [2274]~E(x22741,x22742)+E(f375(x22743,x22744,x22741),f375(x22743,x22744,x22742))
% 163.24/162.98 [2275]~E(x22751,x22752)+E(f641(x22751,x22753,x22754,x22755),f641(x22752,x22753,x22754,x22755))
% 163.24/162.98 [2276]~E(x22761,x22762)+E(f641(x22763,x22761,x22764,x22765),f641(x22763,x22762,x22764,x22765))
% 163.24/162.98 [2277]~E(x22771,x22772)+E(f641(x22773,x22774,x22771,x22775),f641(x22773,x22774,x22772,x22775))
% 163.24/162.98 [2278]~E(x22781,x22782)+E(f641(x22783,x22784,x22785,x22781),f641(x22783,x22784,x22785,x22782))
% 163.24/162.98 [2279]~E(x22791,x22792)+E(f571(x22791,x22793,x22794,x22795,x22796,x22797),f571(x22792,x22793,x22794,x22795,x22796,x22797))
% 163.24/162.98 [2280]~E(x22801,x22802)+E(f571(x22803,x22801,x22804,x22805,x22806,x22807),f571(x22803,x22802,x22804,x22805,x22806,x22807))
% 163.24/162.98 [2281]~E(x22811,x22812)+E(f571(x22813,x22814,x22811,x22815,x22816,x22817),f571(x22813,x22814,x22812,x22815,x22816,x22817))
% 163.24/162.98 [2282]~E(x22821,x22822)+E(f571(x22823,x22824,x22825,x22821,x22826,x22827),f571(x22823,x22824,x22825,x22822,x22826,x22827))
% 163.24/162.98 [2283]~E(x22831,x22832)+E(f571(x22833,x22834,x22835,x22836,x22831,x22837),f571(x22833,x22834,x22835,x22836,x22832,x22837))
% 163.24/162.98 [2284]~E(x22841,x22842)+E(f571(x22843,x22844,x22845,x22846,x22847,x22841),f571(x22843,x22844,x22845,x22846,x22847,x22842))
% 163.24/162.98 [2285]~E(x22851,x22852)+E(f415(x22851,x22853),f415(x22852,x22853))
% 163.24/162.98 [2286]~E(x22861,x22862)+E(f415(x22863,x22861),f415(x22863,x22862))
% 163.24/162.98 [2287]~E(x22871,x22872)+E(f464(x22871,x22873,x22874),f464(x22872,x22873,x22874))
% 163.24/162.98 [2288]~E(x22881,x22882)+E(f464(x22883,x22881,x22884),f464(x22883,x22882,x22884))
% 163.24/162.98 [2289]~E(x22891,x22892)+E(f464(x22893,x22894,x22891),f464(x22893,x22894,x22892))
% 163.24/162.98 [2290]~E(x22901,x22902)+E(f684(x22901,x22903),f684(x22902,x22903))
% 163.24/162.98 [2291]~E(x22911,x22912)+E(f684(x22913,x22911),f684(x22913,x22912))
% 163.24/162.98 [2292]~E(x22921,x22922)+E(f837(x22921,x22923,x22924),f837(x22922,x22923,x22924))
% 163.24/162.98 [2293]~E(x22931,x22932)+E(f837(x22933,x22931,x22934),f837(x22933,x22932,x22934))
% 163.24/162.98 [2294]~E(x22941,x22942)+E(f837(x22943,x22944,x22941),f837(x22943,x22944,x22942))
% 163.24/162.98 [2295]~E(x22951,x22952)+E(f395(x22951,x22953,x22954,x22955,x22956),f395(x22952,x22953,x22954,x22955,x22956))
% 163.24/162.98 [2296]~E(x22961,x22962)+E(f395(x22963,x22961,x22964,x22965,x22966),f395(x22963,x22962,x22964,x22965,x22966))
% 163.24/162.98 [2297]~E(x22971,x22972)+E(f395(x22973,x22974,x22971,x22975,x22976),f395(x22973,x22974,x22972,x22975,x22976))
% 163.24/162.98 [2298]~E(x22981,x22982)+E(f395(x22983,x22984,x22985,x22981,x22986),f395(x22983,x22984,x22985,x22982,x22986))
% 163.24/162.98 [2299]~E(x22991,x22992)+E(f395(x22993,x22994,x22995,x22996,x22991),f395(x22993,x22994,x22995,x22996,x22992))
% 163.24/162.98 [2300]~E(x23001,x23002)+E(f699(x23001,x23003),f699(x23002,x23003))
% 163.24/162.98 [2301]~E(x23011,x23012)+E(f699(x23013,x23011),f699(x23013,x23012))
% 163.24/162.98 [2302]~E(x23021,x23022)+E(f811(x23021,x23023),f811(x23022,x23023))
% 163.24/162.98 [2303]~E(x23031,x23032)+E(f811(x23033,x23031),f811(x23033,x23032))
% 163.24/162.98 [2304]~E(x23041,x23042)+E(f758(x23041,x23043,x23044,x23045),f758(x23042,x23043,x23044,x23045))
% 163.24/162.98 [2305]~E(x23051,x23052)+E(f758(x23053,x23051,x23054,x23055),f758(x23053,x23052,x23054,x23055))
% 163.24/162.98 [2306]~E(x23061,x23062)+E(f758(x23063,x23064,x23061,x23065),f758(x23063,x23064,x23062,x23065))
% 163.24/162.98 [2307]~E(x23071,x23072)+E(f758(x23073,x23074,x23075,x23071),f758(x23073,x23074,x23075,x23072))
% 163.24/162.98 [2308]~E(x23081,x23082)+E(f394(x23081,x23083,x23084),f394(x23082,x23083,x23084))
% 163.24/162.98 [2309]~E(x23091,x23092)+E(f394(x23093,x23091,x23094),f394(x23093,x23092,x23094))
% 163.24/162.98 [2310]~E(x23101,x23102)+E(f394(x23103,x23104,x23101),f394(x23103,x23104,x23102))
% 163.24/162.98 [2311]~E(x23111,x23112)+E(f459(x23111,x23113,x23114),f459(x23112,x23113,x23114))
% 163.24/162.98 [2312]~E(x23121,x23122)+E(f459(x23123,x23121,x23124),f459(x23123,x23122,x23124))
% 163.24/162.98 [2313]~E(x23131,x23132)+E(f459(x23133,x23134,x23131),f459(x23133,x23134,x23132))
% 163.24/162.98 [2314]~E(x23141,x23142)+E(f809(x23141,x23143,x23144),f809(x23142,x23143,x23144))
% 163.24/162.98 [2315]~E(x23151,x23152)+E(f809(x23153,x23151,x23154),f809(x23153,x23152,x23154))
% 163.24/162.98 [2316]~E(x23161,x23162)+E(f809(x23163,x23164,x23161),f809(x23163,x23164,x23162))
% 163.24/162.98 [2317]~E(x23171,x23172)+E(f367(x23171,x23173,x23174,x23175),f367(x23172,x23173,x23174,x23175))
% 163.24/162.98 [2318]~E(x23181,x23182)+E(f367(x23183,x23181,x23184,x23185),f367(x23183,x23182,x23184,x23185))
% 163.24/162.98 [2319]~E(x23191,x23192)+E(f367(x23193,x23194,x23191,x23195),f367(x23193,x23194,x23192,x23195))
% 163.24/162.98 [2320]~E(x23201,x23202)+E(f367(x23203,x23204,x23205,x23201),f367(x23203,x23204,x23205,x23202))
% 163.24/162.98 [2321]~E(x23211,x23212)+E(f361(x23211,x23213,x23214,x23215,x23216),f361(x23212,x23213,x23214,x23215,x23216))
% 163.24/162.98 [2322]~E(x23221,x23222)+E(f361(x23223,x23221,x23224,x23225,x23226),f361(x23223,x23222,x23224,x23225,x23226))
% 163.24/162.98 [2323]~E(x23231,x23232)+E(f361(x23233,x23234,x23231,x23235,x23236),f361(x23233,x23234,x23232,x23235,x23236))
% 163.24/162.98 [2324]~E(x23241,x23242)+E(f361(x23243,x23244,x23245,x23241,x23246),f361(x23243,x23244,x23245,x23242,x23246))
% 163.24/162.98 [2325]~E(x23251,x23252)+E(f361(x23253,x23254,x23255,x23256,x23251),f361(x23253,x23254,x23255,x23256,x23252))
% 163.24/162.98 [2326]~E(x23261,x23262)+E(f296(x23261,x23263,x23264),f296(x23262,x23263,x23264))
% 163.24/162.98 [2327]~E(x23271,x23272)+E(f296(x23273,x23271,x23274),f296(x23273,x23272,x23274))
% 163.24/162.98 [2328]~E(x23281,x23282)+E(f296(x23283,x23284,x23281),f296(x23283,x23284,x23282))
% 163.24/162.98 [2329]~E(x23291,x23292)+E(f317(x23291,x23293,x23294),f317(x23292,x23293,x23294))
% 163.24/162.98 [2330]~E(x23301,x23302)+E(f317(x23303,x23301,x23304),f317(x23303,x23302,x23304))
% 163.24/162.98 [2331]~E(x23311,x23312)+E(f317(x23313,x23314,x23311),f317(x23313,x23314,x23312))
% 163.24/162.98 [2332]~E(x23321,x23322)+E(f757(x23321,x23323,x23324,x23325),f757(x23322,x23323,x23324,x23325))
% 163.24/162.98 [2333]~E(x23331,x23332)+E(f757(x23333,x23331,x23334,x23335),f757(x23333,x23332,x23334,x23335))
% 163.24/162.98 [2334]~E(x23341,x23342)+E(f757(x23343,x23344,x23341,x23345),f757(x23343,x23344,x23342,x23345))
% 163.24/162.98 [2335]~E(x23351,x23352)+E(f757(x23353,x23354,x23355,x23351),f757(x23353,x23354,x23355,x23352))
% 163.24/162.98 [2336]~E(x23361,x23362)+E(f567(x23361),f567(x23362))
% 163.24/162.98 [2337]~E(x23371,x23372)+E(f400(x23371,x23373,x23374,x23375),f400(x23372,x23373,x23374,x23375))
% 163.24/162.98 [2338]~E(x23381,x23382)+E(f400(x23383,x23381,x23384,x23385),f400(x23383,x23382,x23384,x23385))
% 163.24/162.98 [2339]~E(x23391,x23392)+E(f400(x23393,x23394,x23391,x23395),f400(x23393,x23394,x23392,x23395))
% 163.24/162.98 [2340]~E(x23401,x23402)+E(f400(x23403,x23404,x23405,x23401),f400(x23403,x23404,x23405,x23402))
% 163.24/162.98 [2341]~E(x23411,x23412)+E(f799(x23411,x23413,x23414),f799(x23412,x23413,x23414))
% 163.24/162.98 [2342]~E(x23421,x23422)+E(f799(x23423,x23421,x23424),f799(x23423,x23422,x23424))
% 163.24/162.98 [2343]~E(x23431,x23432)+E(f799(x23433,x23434,x23431),f799(x23433,x23434,x23432))
% 163.24/162.98 [2344]~E(x23441,x23442)+E(f716(x23441,x23443),f716(x23442,x23443))
% 163.24/162.98 [2345]~E(x23451,x23452)+E(f716(x23453,x23451),f716(x23453,x23452))
% 163.24/162.98 [2346]~E(x23461,x23462)+E(f362(x23461,x23463),f362(x23462,x23463))
% 163.24/162.98 [2347]~E(x23471,x23472)+E(f362(x23473,x23471),f362(x23473,x23472))
% 163.24/162.98 [2348]~E(x23481,x23482)+E(f547(x23481,x23483,x23484,x23485,x23486),f547(x23482,x23483,x23484,x23485,x23486))
% 163.24/162.98 [2349]~E(x23491,x23492)+E(f547(x23493,x23491,x23494,x23495,x23496),f547(x23493,x23492,x23494,x23495,x23496))
% 163.24/162.98 [2350]~E(x23501,x23502)+E(f547(x23503,x23504,x23501,x23505,x23506),f547(x23503,x23504,x23502,x23505,x23506))
% 163.24/162.98 [2351]~E(x23511,x23512)+E(f547(x23513,x23514,x23515,x23511,x23516),f547(x23513,x23514,x23515,x23512,x23516))
% 163.24/162.98 [2352]~E(x23521,x23522)+E(f547(x23523,x23524,x23525,x23526,x23521),f547(x23523,x23524,x23525,x23526,x23522))
% 163.24/162.98 [2353]~E(x23531,x23532)+E(f679(x23531,x23533),f679(x23532,x23533))
% 163.24/162.98 [2354]~E(x23541,x23542)+E(f679(x23543,x23541),f679(x23543,x23542))
% 163.24/162.98 [2355]~E(x23551,x23552)+E(f356(x23551,x23553,x23554,x23555,x23556),f356(x23552,x23553,x23554,x23555,x23556))
% 163.24/162.98 [2356]~E(x23561,x23562)+E(f356(x23563,x23561,x23564,x23565,x23566),f356(x23563,x23562,x23564,x23565,x23566))
% 163.24/162.98 [2357]~E(x23571,x23572)+E(f356(x23573,x23574,x23571,x23575,x23576),f356(x23573,x23574,x23572,x23575,x23576))
% 163.24/162.98 [2358]~E(x23581,x23582)+E(f356(x23583,x23584,x23585,x23581,x23586),f356(x23583,x23584,x23585,x23582,x23586))
% 163.24/162.98 [2359]~E(x23591,x23592)+E(f356(x23593,x23594,x23595,x23596,x23591),f356(x23593,x23594,x23595,x23596,x23592))
% 163.24/162.98 [2360]~E(x23601,x23602)+E(f512(x23601,x23603,x23604),f512(x23602,x23603,x23604))
% 163.24/162.98 [2361]~E(x23611,x23612)+E(f512(x23613,x23611,x23614),f512(x23613,x23612,x23614))
% 163.24/162.98 [2362]~E(x23621,x23622)+E(f512(x23623,x23624,x23621),f512(x23623,x23624,x23622))
% 163.24/162.98 [2363]~E(x23631,x23632)+E(f295(x23631,x23633,x23634),f295(x23632,x23633,x23634))
% 163.24/162.98 [2364]~E(x23641,x23642)+E(f295(x23643,x23641,x23644),f295(x23643,x23642,x23644))
% 163.24/162.98 [2365]~E(x23651,x23652)+E(f295(x23653,x23654,x23651),f295(x23653,x23654,x23652))
% 163.24/162.98 [2366]~E(x23661,x23662)+E(f584(x23661,x23663),f584(x23662,x23663))
% 163.24/162.98 [2367]~E(x23671,x23672)+E(f584(x23673,x23671),f584(x23673,x23672))
% 163.24/162.98 [2368]~E(x23681,x23682)+E(f595(x23681,x23683,x23684,x23685),f595(x23682,x23683,x23684,x23685))
% 163.24/162.98 [2369]~E(x23691,x23692)+E(f595(x23693,x23691,x23694,x23695),f595(x23693,x23692,x23694,x23695))
% 163.24/162.98 [2370]~E(x23701,x23702)+E(f595(x23703,x23704,x23701,x23705),f595(x23703,x23704,x23702,x23705))
% 163.24/162.98 [2371]~E(x23711,x23712)+E(f595(x23713,x23714,x23715,x23711),f595(x23713,x23714,x23715,x23712))
% 163.24/162.98 [2372]~E(x23721,x23722)+E(f428(x23721,x23723,x23724,x23725),f428(x23722,x23723,x23724,x23725))
% 163.24/162.98 [2373]~E(x23731,x23732)+E(f428(x23733,x23731,x23734,x23735),f428(x23733,x23732,x23734,x23735))
% 163.24/162.98 [2374]~E(x23741,x23742)+E(f428(x23743,x23744,x23741,x23745),f428(x23743,x23744,x23742,x23745))
% 163.24/162.98 [2375]~E(x23751,x23752)+E(f428(x23753,x23754,x23755,x23751),f428(x23753,x23754,x23755,x23752))
% 163.24/162.98 [2376]~E(x23761,x23762)+E(f635(x23761,x23763,x23764),f635(x23762,x23763,x23764))
% 163.24/162.98 [2377]~E(x23771,x23772)+E(f635(x23773,x23771,x23774),f635(x23773,x23772,x23774))
% 163.24/162.98 [2378]~E(x23781,x23782)+E(f635(x23783,x23784,x23781),f635(x23783,x23784,x23782))
% 163.24/162.98 [2379]~E(x23791,x23792)+E(f217(x23791,x23793,x23794,x23795),f217(x23792,x23793,x23794,x23795))
% 163.24/162.98 [2380]~E(x23801,x23802)+E(f217(x23803,x23801,x23804,x23805),f217(x23803,x23802,x23804,x23805))
% 163.24/162.98 [2381]~E(x23811,x23812)+E(f217(x23813,x23814,x23811,x23815),f217(x23813,x23814,x23812,x23815))
% 163.24/162.98 [2382]~E(x23821,x23822)+E(f217(x23823,x23824,x23825,x23821),f217(x23823,x23824,x23825,x23822))
% 163.24/162.98 [2383]~E(x23831,x23832)+E(f835(x23831,x23833,x23834,x23835),f835(x23832,x23833,x23834,x23835))
% 163.24/162.98 [2384]~E(x23841,x23842)+E(f835(x23843,x23841,x23844,x23845),f835(x23843,x23842,x23844,x23845))
% 163.24/162.98 [2385]~E(x23851,x23852)+E(f835(x23853,x23854,x23851,x23855),f835(x23853,x23854,x23852,x23855))
% 163.24/162.98 [2386]~E(x23861,x23862)+E(f835(x23863,x23864,x23865,x23861),f835(x23863,x23864,x23865,x23862))
% 163.24/162.98 [2387]~E(x23871,x23872)+E(f238(x23871,x23873,x23874,x23875),f238(x23872,x23873,x23874,x23875))
% 163.24/162.98 [2388]~E(x23881,x23882)+E(f238(x23883,x23881,x23884,x23885),f238(x23883,x23882,x23884,x23885))
% 163.24/162.98 [2389]~E(x23891,x23892)+E(f238(x23893,x23894,x23891,x23895),f238(x23893,x23894,x23892,x23895))
% 163.24/162.98 [2390]~E(x23901,x23902)+E(f238(x23903,x23904,x23905,x23901),f238(x23903,x23904,x23905,x23902))
% 163.24/162.98 [2391]~E(x23911,x23912)+E(f355(x23911,x23913,x23914,x23915,x23916),f355(x23912,x23913,x23914,x23915,x23916))
% 163.24/162.98 [2392]~E(x23921,x23922)+E(f355(x23923,x23921,x23924,x23925,x23926),f355(x23923,x23922,x23924,x23925,x23926))
% 163.24/162.98 [2393]~E(x23931,x23932)+E(f355(x23933,x23934,x23931,x23935,x23936),f355(x23933,x23934,x23932,x23935,x23936))
% 163.24/162.98 [2394]~E(x23941,x23942)+E(f355(x23943,x23944,x23945,x23941,x23946),f355(x23943,x23944,x23945,x23942,x23946))
% 163.24/162.98 [2395]~E(x23951,x23952)+E(f355(x23953,x23954,x23955,x23956,x23951),f355(x23953,x23954,x23955,x23956,x23952))
% 163.24/162.98 [2396]~E(x23961,x23962)+E(f483(x23961,x23963,x23964),f483(x23962,x23963,x23964))
% 163.24/162.98 [2397]~E(x23971,x23972)+E(f483(x23973,x23971,x23974),f483(x23973,x23972,x23974))
% 163.24/162.98 [2398]~E(x23981,x23982)+E(f483(x23983,x23984,x23981),f483(x23983,x23984,x23982))
% 163.24/162.98 [2399]~E(x23991,x23992)+E(f682(x23991,x23993,x23994,x23995),f682(x23992,x23993,x23994,x23995))
% 163.24/162.98 [2400]~E(x24001,x24002)+E(f682(x24003,x24001,x24004,x24005),f682(x24003,x24002,x24004,x24005))
% 163.24/162.98 [2401]~E(x24011,x24012)+E(f682(x24013,x24014,x24011,x24015),f682(x24013,x24014,x24012,x24015))
% 163.24/162.98 [2402]~E(x24021,x24022)+E(f682(x24023,x24024,x24025,x24021),f682(x24023,x24024,x24025,x24022))
% 163.24/162.98 [2403]~E(x24031,x24032)+E(f800(x24031,x24033,x24034),f800(x24032,x24033,x24034))
% 163.24/162.98 [2404]~E(x24041,x24042)+E(f800(x24043,x24041,x24044),f800(x24043,x24042,x24044))
% 163.24/162.98 [2405]~E(x24051,x24052)+E(f800(x24053,x24054,x24051),f800(x24053,x24054,x24052))
% 163.24/162.98 [2406]~E(x24061,x24062)+E(f704(x24061,x24063,x24064,x24065),f704(x24062,x24063,x24064,x24065))
% 163.24/162.98 [2407]~E(x24071,x24072)+E(f704(x24073,x24071,x24074,x24075),f704(x24073,x24072,x24074,x24075))
% 163.24/162.98 [2408]~E(x24081,x24082)+E(f704(x24083,x24084,x24081,x24085),f704(x24083,x24084,x24082,x24085))
% 163.24/162.98 [2409]~E(x24091,x24092)+E(f704(x24093,x24094,x24095,x24091),f704(x24093,x24094,x24095,x24092))
% 163.24/162.98 [2410]~E(x24101,x24102)+E(f350(x24101,x24103,x24104,x24105,x24106),f350(x24102,x24103,x24104,x24105,x24106))
% 163.24/162.98 [2411]~E(x24111,x24112)+E(f350(x24113,x24111,x24114,x24115,x24116),f350(x24113,x24112,x24114,x24115,x24116))
% 163.24/162.98 [2412]~E(x24121,x24122)+E(f350(x24123,x24124,x24121,x24125,x24126),f350(x24123,x24124,x24122,x24125,x24126))
% 163.24/162.98 [2413]~E(x24131,x24132)+E(f350(x24133,x24134,x24135,x24131,x24136),f350(x24133,x24134,x24135,x24132,x24136))
% 163.24/162.98 [2414]~E(x24141,x24142)+E(f350(x24143,x24144,x24145,x24146,x24141),f350(x24143,x24144,x24145,x24146,x24142))
% 163.24/162.98 [2415]~E(x24151,x24152)+E(f662(x24151,x24153,x24154),f662(x24152,x24153,x24154))
% 163.24/162.98 [2416]~E(x24161,x24162)+E(f662(x24163,x24161,x24164),f662(x24163,x24162,x24164))
% 163.24/162.98 [2417]~E(x24171,x24172)+E(f662(x24173,x24174,x24171),f662(x24173,x24174,x24172))
% 163.24/162.98 [2418]~E(x24181,x24182)+E(f681(x24181,x24183),f681(x24182,x24183))
% 163.24/162.98 [2419]~E(x24191,x24192)+E(f681(x24193,x24191),f681(x24193,x24192))
% 163.24/162.98 [2420]~E(x24201,x24202)+E(f781(x24201,x24203,x24204,x24205,x24206),f781(x24202,x24203,x24204,x24205,x24206))
% 163.24/162.98 [2421]~E(x24211,x24212)+E(f781(x24213,x24211,x24214,x24215,x24216),f781(x24213,x24212,x24214,x24215,x24216))
% 163.24/162.98 [2422]~E(x24221,x24222)+E(f781(x24223,x24224,x24221,x24225,x24226),f781(x24223,x24224,x24222,x24225,x24226))
% 163.24/162.98 [2423]~E(x24231,x24232)+E(f781(x24233,x24234,x24235,x24231,x24236),f781(x24233,x24234,x24235,x24232,x24236))
% 163.24/162.98 [2424]~E(x24241,x24242)+E(f781(x24243,x24244,x24245,x24246,x24241),f781(x24243,x24244,x24245,x24246,x24242))
% 163.24/162.98 [2425]~E(x24251,x24252)+E(f738(x24251,x24253,x24254,x24255,x24256),f738(x24252,x24253,x24254,x24255,x24256))
% 163.24/162.98 [2426]~E(x24261,x24262)+E(f738(x24263,x24261,x24264,x24265,x24266),f738(x24263,x24262,x24264,x24265,x24266))
% 163.24/162.98 [2427]~E(x24271,x24272)+E(f738(x24273,x24274,x24271,x24275,x24276),f738(x24273,x24274,x24272,x24275,x24276))
% 163.24/162.98 [2428]~E(x24281,x24282)+E(f738(x24283,x24284,x24285,x24281,x24286),f738(x24283,x24284,x24285,x24282,x24286))
% 163.24/162.98 [2429]~E(x24291,x24292)+E(f738(x24293,x24294,x24295,x24296,x24291),f738(x24293,x24294,x24295,x24296,x24292))
% 163.24/162.98 [2430]~E(x24301,x24302)+E(f570(x24301,x24303,x24304,x24305),f570(x24302,x24303,x24304,x24305))
% 163.24/162.98 [2431]~E(x24311,x24312)+E(f570(x24313,x24311,x24314,x24315),f570(x24313,x24312,x24314,x24315))
% 163.24/162.98 [2432]~E(x24321,x24322)+E(f570(x24323,x24324,x24321,x24325),f570(x24323,x24324,x24322,x24325))
% 163.24/162.98 [2433]~E(x24331,x24332)+E(f570(x24333,x24334,x24335,x24331),f570(x24333,x24334,x24335,x24332))
% 163.24/162.98 [2434]~E(x24341,x24342)+E(f732(x24341,x24343,x24344,x24345,x24346,x24347),f732(x24342,x24343,x24344,x24345,x24346,x24347))
% 163.24/162.98 [2435]~E(x24351,x24352)+E(f732(x24353,x24351,x24354,x24355,x24356,x24357),f732(x24353,x24352,x24354,x24355,x24356,x24357))
% 163.24/162.98 [2436]~E(x24361,x24362)+E(f732(x24363,x24364,x24361,x24365,x24366,x24367),f732(x24363,x24364,x24362,x24365,x24366,x24367))
% 163.24/162.98 [2437]~E(x24371,x24372)+E(f732(x24373,x24374,x24375,x24371,x24376,x24377),f732(x24373,x24374,x24375,x24372,x24376,x24377))
% 163.24/162.98 [2438]~E(x24381,x24382)+E(f732(x24383,x24384,x24385,x24386,x24381,x24387),f732(x24383,x24384,x24385,x24386,x24382,x24387))
% 163.24/162.98 [2439]~E(x24391,x24392)+E(f732(x24393,x24394,x24395,x24396,x24397,x24391),f732(x24393,x24394,x24395,x24396,x24397,x24392))
% 163.24/162.98 [2440]~E(x24401,x24402)+E(f215(x24401),f215(x24402))
% 163.24/162.98 [2441]~E(x24411,x24412)+E(f437(x24411,x24413,x24414,x24415),f437(x24412,x24413,x24414,x24415))
% 163.24/162.98 [2442]~E(x24421,x24422)+E(f437(x24423,x24421,x24424,x24425),f437(x24423,x24422,x24424,x24425))
% 163.24/162.98 [2443]~E(x24431,x24432)+E(f437(x24433,x24434,x24431,x24435),f437(x24433,x24434,x24432,x24435))
% 163.24/162.98 [2444]~E(x24441,x24442)+E(f437(x24443,x24444,x24445,x24441),f437(x24443,x24444,x24445,x24442))
% 163.24/162.98 [2445]~E(x24451,x24452)+E(f397(x24451),f397(x24452))
% 163.24/162.98 [2446]~E(x24461,x24462)+E(f736(x24461,x24463,x24464,x24465,x24466,x24467,x24468),f736(x24462,x24463,x24464,x24465,x24466,x24467,x24468))
% 163.24/162.98 [2447]~E(x24471,x24472)+E(f736(x24473,x24471,x24474,x24475,x24476,x24477,x24478),f736(x24473,x24472,x24474,x24475,x24476,x24477,x24478))
% 163.24/162.98 [2448]~E(x24481,x24482)+E(f736(x24483,x24484,x24481,x24485,x24486,x24487,x24488),f736(x24483,x24484,x24482,x24485,x24486,x24487,x24488))
% 163.24/162.98 [2449]~E(x24491,x24492)+E(f736(x24493,x24494,x24495,x24491,x24496,x24497,x24498),f736(x24493,x24494,x24495,x24492,x24496,x24497,x24498))
% 163.24/162.98 [2450]~E(x24501,x24502)+E(f736(x24503,x24504,x24505,x24506,x24501,x24507,x24508),f736(x24503,x24504,x24505,x24506,x24502,x24507,x24508))
% 163.24/162.98 [2451]~E(x24511,x24512)+E(f736(x24513,x24514,x24515,x24516,x24517,x24511,x24518),f736(x24513,x24514,x24515,x24516,x24517,x24512,x24518))
% 163.24/162.98 [2452]~E(x24521,x24522)+E(f736(x24523,x24524,x24525,x24526,x24527,x24528,x24521),f736(x24523,x24524,x24525,x24526,x24527,x24528,x24522))
% 163.24/162.98 [2453]~E(x24531,x24532)+E(f631(x24531,x24533,x24534,x24535,x24536,x24537),f631(x24532,x24533,x24534,x24535,x24536,x24537))
% 163.24/162.98 [2454]~E(x24541,x24542)+E(f631(x24543,x24541,x24544,x24545,x24546,x24547),f631(x24543,x24542,x24544,x24545,x24546,x24547))
% 163.24/162.98 [2455]~E(x24551,x24552)+E(f631(x24553,x24554,x24551,x24555,x24556,x24557),f631(x24553,x24554,x24552,x24555,x24556,x24557))
% 163.24/162.98 [2456]~E(x24561,x24562)+E(f631(x24563,x24564,x24565,x24561,x24566,x24567),f631(x24563,x24564,x24565,x24562,x24566,x24567))
% 163.24/162.98 [2457]~E(x24571,x24572)+E(f631(x24573,x24574,x24575,x24576,x24571,x24577),f631(x24573,x24574,x24575,x24576,x24572,x24577))
% 163.24/162.98 [2458]~E(x24581,x24582)+E(f631(x24583,x24584,x24585,x24586,x24587,x24581),f631(x24583,x24584,x24585,x24586,x24587,x24582))
% 163.24/162.98 [2459]~E(x24591,x24592)+E(f846(x24591,x24593,x24594),f846(x24592,x24593,x24594))
% 163.24/162.98 [2460]~E(x24601,x24602)+E(f846(x24603,x24601,x24604),f846(x24603,x24602,x24604))
% 163.24/162.98 [2461]~E(x24611,x24612)+E(f846(x24613,x24614,x24611),f846(x24613,x24614,x24612))
% 163.24/162.98 [2462]~E(x24621,x24622)+E(f344(x24621),f344(x24622))
% 163.24/162.98 [2463]~E(x24631,x24632)+E(f583(x24631,x24633),f583(x24632,x24633))
% 163.24/162.98 [2464]~E(x24641,x24642)+E(f583(x24643,x24641),f583(x24643,x24642))
% 163.24/162.98 [2465]~E(x24651,x24652)+E(f642(x24651,x24653,x24654),f642(x24652,x24653,x24654))
% 163.24/162.98 [2466]~E(x24661,x24662)+E(f642(x24663,x24661,x24664),f642(x24663,x24662,x24664))
% 163.24/162.98 [2467]~E(x24671,x24672)+E(f642(x24673,x24674,x24671),f642(x24673,x24674,x24672))
% 163.24/162.98 [2468]~E(x24681,x24682)+E(f130(x24681),f130(x24682))
% 163.24/162.98 [2469]~E(x24691,x24692)+E(f343(x24691,x24693),f343(x24692,x24693))
% 163.24/162.98 [2470]~E(x24701,x24702)+E(f343(x24703,x24701),f343(x24703,x24702))
% 163.24/162.98 [2471]~E(x24711,x24712)+E(f623(x24711,x24713),f623(x24712,x24713))
% 163.24/162.98 [2472]~E(x24721,x24722)+E(f623(x24723,x24721),f623(x24723,x24722))
% 163.24/162.98 [2473]~E(x24731,x24732)+E(f281(x24731,x24733),f281(x24732,x24733))
% 163.24/162.98 [2474]~E(x24741,x24742)+E(f281(x24743,x24741),f281(x24743,x24742))
% 163.24/162.98 [2475]~E(x24751,x24752)+E(f844(x24751,x24753),f844(x24752,x24753))
% 163.24/162.98 [2476]~E(x24761,x24762)+E(f844(x24763,x24761),f844(x24763,x24762))
% 163.24/162.98 [2477]~E(x24771,x24772)+E(f741(x24771,x24773),f741(x24772,x24773))
% 163.24/162.98 [2478]~E(x24781,x24782)+E(f741(x24783,x24781),f741(x24783,x24782))
% 163.24/162.98 [2479]~E(x24791,x24792)+E(f235(x24791,x24793,x24794,x24795,x24796),f235(x24792,x24793,x24794,x24795,x24796))
% 163.24/162.98 [2480]~E(x24801,x24802)+E(f235(x24803,x24801,x24804,x24805,x24806),f235(x24803,x24802,x24804,x24805,x24806))
% 163.24/162.98 [2481]~E(x24811,x24812)+E(f235(x24813,x24814,x24811,x24815,x24816),f235(x24813,x24814,x24812,x24815,x24816))
% 163.24/162.98 [2482]~E(x24821,x24822)+E(f235(x24823,x24824,x24825,x24821,x24826),f235(x24823,x24824,x24825,x24822,x24826))
% 163.24/162.98 [2483]~E(x24831,x24832)+E(f235(x24833,x24834,x24835,x24836,x24831),f235(x24833,x24834,x24835,x24836,x24832))
% 163.24/162.98 [2484]~E(x24841,x24842)+E(f469(x24841,x24843),f469(x24842,x24843))
% 163.24/162.98 [2485]~E(x24851,x24852)+E(f469(x24853,x24851),f469(x24853,x24852))
% 163.24/162.98 [2486]~E(x24861,x24862)+E(f862(x24861,x24863,x24864),f862(x24862,x24863,x24864))
% 163.24/162.98 [2487]~E(x24871,x24872)+E(f862(x24873,x24871,x24874),f862(x24873,x24872,x24874))
% 163.24/162.98 [2488]~E(x24881,x24882)+E(f862(x24883,x24884,x24881),f862(x24883,x24884,x24882))
% 163.24/162.98 [2489]~E(x24891,x24892)+E(f615(x24891,x24893),f615(x24892,x24893))
% 163.24/162.98 [2490]~E(x24901,x24902)+E(f615(x24903,x24901),f615(x24903,x24902))
% 163.24/162.98 [2491]~E(x24911,x24912)+E(f219(x24911,x24913,x24914,x24915),f219(x24912,x24913,x24914,x24915))
% 163.24/162.98 [2492]~E(x24921,x24922)+E(f219(x24923,x24921,x24924,x24925),f219(x24923,x24922,x24924,x24925))
% 163.24/162.98 [2493]~E(x24931,x24932)+E(f219(x24933,x24934,x24931,x24935),f219(x24933,x24934,x24932,x24935))
% 163.24/162.98 [2494]~E(x24941,x24942)+E(f219(x24943,x24944,x24945,x24941),f219(x24943,x24944,x24945,x24942))
% 163.24/162.98 [2495]~E(x24951,x24952)+E(f628(x24951,x24953,x24954,x24955),f628(x24952,x24953,x24954,x24955))
% 163.24/162.98 [2496]~E(x24961,x24962)+E(f628(x24963,x24961,x24964,x24965),f628(x24963,x24962,x24964,x24965))
% 163.24/162.98 [2497]~E(x24971,x24972)+E(f628(x24973,x24974,x24971,x24975),f628(x24973,x24974,x24972,x24975))
% 163.24/162.98 [2498]~E(x24981,x24982)+E(f628(x24983,x24984,x24985,x24981),f628(x24983,x24984,x24985,x24982))
% 163.24/162.98 [2499]~E(x24991,x24992)+E(f727(x24991,x24993,x24994),f727(x24992,x24993,x24994))
% 163.24/162.98 [2500]~E(x25001,x25002)+E(f727(x25003,x25001,x25004),f727(x25003,x25002,x25004))
% 163.24/162.98 [2501]~E(x25011,x25012)+E(f727(x25013,x25014,x25011),f727(x25013,x25014,x25012))
% 163.24/162.98 [2502]~E(x25021,x25022)+E(f553(x25021),f553(x25022))
% 163.24/162.98 [2503]~E(x25031,x25032)+E(f665(x25031,x25033,x25034),f665(x25032,x25033,x25034))
% 163.24/162.98 [2504]~E(x25041,x25042)+E(f665(x25043,x25041,x25044),f665(x25043,x25042,x25044))
% 163.24/162.98 [2505]~E(x25051,x25052)+E(f665(x25053,x25054,x25051),f665(x25053,x25054,x25052))
% 163.24/162.98 [2506]~E(x25061,x25062)+E(f594(x25061,x25063,x25064),f594(x25062,x25063,x25064))
% 163.24/162.98 [2507]~E(x25071,x25072)+E(f594(x25073,x25071,x25074),f594(x25073,x25072,x25074))
% 163.24/162.98 [2508]~E(x25081,x25082)+E(f594(x25083,x25084,x25081),f594(x25083,x25084,x25082))
% 163.24/162.98 [2509]~E(x25091,x25092)+E(f545(x25091,x25093,x25094,x25095,x25096,x25097,x25098),f545(x25092,x25093,x25094,x25095,x25096,x25097,x25098))
% 163.24/162.98 [2510]~E(x25101,x25102)+E(f545(x25103,x25101,x25104,x25105,x25106,x25107,x25108),f545(x25103,x25102,x25104,x25105,x25106,x25107,x25108))
% 163.24/162.98 [2511]~E(x25111,x25112)+E(f545(x25113,x25114,x25111,x25115,x25116,x25117,x25118),f545(x25113,x25114,x25112,x25115,x25116,x25117,x25118))
% 163.24/162.98 [2512]~E(x25121,x25122)+E(f545(x25123,x25124,x25125,x25121,x25126,x25127,x25128),f545(x25123,x25124,x25125,x25122,x25126,x25127,x25128))
% 163.24/162.98 [2513]~E(x25131,x25132)+E(f545(x25133,x25134,x25135,x25136,x25131,x25137,x25138),f545(x25133,x25134,x25135,x25136,x25132,x25137,x25138))
% 163.24/162.98 [2514]~E(x25141,x25142)+E(f545(x25143,x25144,x25145,x25146,x25147,x25141,x25148),f545(x25143,x25144,x25145,x25146,x25147,x25142,x25148))
% 163.24/162.98 [2515]~E(x25151,x25152)+E(f545(x25153,x25154,x25155,x25156,x25157,x25158,x25151),f545(x25153,x25154,x25155,x25156,x25157,x25158,x25152))
% 163.24/162.98 [2516]~E(x25161,x25162)+E(f491(x25161,x25163,x25164,x25165),f491(x25162,x25163,x25164,x25165))
% 163.24/162.98 [2517]~E(x25171,x25172)+E(f491(x25173,x25171,x25174,x25175),f491(x25173,x25172,x25174,x25175))
% 163.24/162.98 [2518]~E(x25181,x25182)+E(f491(x25183,x25184,x25181,x25185),f491(x25183,x25184,x25182,x25185))
% 163.24/162.98 [2519]~E(x25191,x25192)+E(f491(x25193,x25194,x25195,x25191),f491(x25193,x25194,x25195,x25192))
% 163.24/162.98 [2520]~E(x25201,x25202)+E(f789(x25201,x25203,x25204,x25205),f789(x25202,x25203,x25204,x25205))
% 163.24/162.98 [2521]~E(x25211,x25212)+E(f789(x25213,x25211,x25214,x25215),f789(x25213,x25212,x25214,x25215))
% 163.24/162.98 [2522]~E(x25221,x25222)+E(f789(x25223,x25224,x25221,x25225),f789(x25223,x25224,x25222,x25225))
% 163.24/162.98 [2523]~E(x25231,x25232)+E(f789(x25233,x25234,x25235,x25231),f789(x25233,x25234,x25235,x25232))
% 163.24/162.98 [2524]~E(x25241,x25242)+E(f581(x25241,x25243,x25244),f581(x25242,x25243,x25244))
% 163.24/162.98 [2525]~E(x25251,x25252)+E(f581(x25253,x25251,x25254),f581(x25253,x25252,x25254))
% 163.24/162.98 [2526]~E(x25261,x25262)+E(f581(x25263,x25264,x25261),f581(x25263,x25264,x25262))
% 163.24/162.98 [2527]~E(x25271,x25272)+E(f604(x25271,x25273,x25274),f604(x25272,x25273,x25274))
% 163.24/162.98 [2528]~E(x25281,x25282)+E(f604(x25283,x25281,x25284),f604(x25283,x25282,x25284))
% 163.24/162.98 [2529]~E(x25291,x25292)+E(f604(x25293,x25294,x25291),f604(x25293,x25294,x25292))
% 163.24/162.98 [2530]~E(x25301,x25302)+E(f499(x25301,x25303,x25304),f499(x25302,x25303,x25304))
% 163.24/162.98 [2531]~E(x25311,x25312)+E(f499(x25313,x25311,x25314),f499(x25313,x25312,x25314))
% 163.24/162.98 [2532]~E(x25321,x25322)+E(f499(x25323,x25324,x25321),f499(x25323,x25324,x25322))
% 163.24/162.98 [2533]~E(x25331,x25332)+E(f23(x25331,x25333),f23(x25332,x25333))
% 163.24/162.98 [2534]~E(x25341,x25342)+E(f23(x25343,x25341),f23(x25343,x25342))
% 163.24/162.98 [2535]~E(x25351,x25352)+E(f416(x25351,x25353,x25354),f416(x25352,x25353,x25354))
% 163.24/162.98 [2536]~E(x25361,x25362)+E(f416(x25363,x25361,x25364),f416(x25363,x25362,x25364))
% 163.24/162.98 [2537]~E(x25371,x25372)+E(f416(x25373,x25374,x25371),f416(x25373,x25374,x25372))
% 163.24/162.98 [2538]~E(x25381,x25382)+E(f100(x25381,x25383,x25384,x25385),f100(x25382,x25383,x25384,x25385))
% 163.24/162.98 [2539]~E(x25391,x25392)+E(f100(x25393,x25391,x25394,x25395),f100(x25393,x25392,x25394,x25395))
% 163.24/162.98 [2540]~E(x25401,x25402)+E(f100(x25403,x25404,x25401,x25405),f100(x25403,x25404,x25402,x25405))
% 163.24/162.98 [2541]~E(x25411,x25412)+E(f100(x25413,x25414,x25415,x25411),f100(x25413,x25414,x25415,x25412))
% 163.24/162.98 [2542]~E(x25421,x25422)+E(f669(x25421,x25423),f669(x25422,x25423))
% 163.24/162.98 [2543]~E(x25431,x25432)+E(f669(x25433,x25431),f669(x25433,x25432))
% 163.24/162.98 [2544]~E(x25441,x25442)+E(f656(x25441,x25443),f656(x25442,x25443))
% 163.24/162.98 [2545]~E(x25451,x25452)+E(f656(x25453,x25451),f656(x25453,x25452))
% 163.24/162.98 [2546]~E(x25461,x25462)+E(f870(x25461,x25463,x25464),f870(x25462,x25463,x25464))
% 163.24/162.98 [2547]~E(x25471,x25472)+E(f870(x25473,x25471,x25474),f870(x25473,x25472,x25474))
% 163.24/162.98 [2548]~E(x25481,x25482)+E(f870(x25483,x25484,x25481),f870(x25483,x25484,x25482))
% 163.24/162.98 [2549]~E(x25491,x25492)+E(f849(x25491,x25493,x25494,x25495,x25496),f849(x25492,x25493,x25494,x25495,x25496))
% 163.24/162.98 [2550]~E(x25501,x25502)+E(f849(x25503,x25501,x25504,x25505,x25506),f849(x25503,x25502,x25504,x25505,x25506))
% 163.24/162.98 [2551]~E(x25511,x25512)+E(f849(x25513,x25514,x25511,x25515,x25516),f849(x25513,x25514,x25512,x25515,x25516))
% 163.24/162.98 [2552]~E(x25521,x25522)+E(f849(x25523,x25524,x25525,x25521,x25526),f849(x25523,x25524,x25525,x25522,x25526))
% 163.24/162.98 [2553]~E(x25531,x25532)+E(f849(x25533,x25534,x25535,x25536,x25531),f849(x25533,x25534,x25535,x25536,x25532))
% 163.24/162.98 [2554]~E(x25541,x25542)+E(f374(x25541,x25543),f374(x25542,x25543))
% 163.24/162.98 [2555]~E(x25551,x25552)+E(f374(x25553,x25551),f374(x25553,x25552))
% 163.24/162.98 [2556]~E(x25561,x25562)+E(f453(x25561,x25563,x25564),f453(x25562,x25563,x25564))
% 163.24/162.98 [2557]~E(x25571,x25572)+E(f453(x25573,x25571,x25574),f453(x25573,x25572,x25574))
% 163.24/162.98 [2558]~E(x25581,x25582)+E(f453(x25583,x25584,x25581),f453(x25583,x25584,x25582))
% 163.24/162.98 [2559]~E(x25591,x25592)+E(f383(x25591,x25593,x25594,x25595),f383(x25592,x25593,x25594,x25595))
% 163.24/162.98 [2560]~E(x25601,x25602)+E(f383(x25603,x25601,x25604,x25605),f383(x25603,x25602,x25604,x25605))
% 163.24/162.98 [2561]~E(x25611,x25612)+E(f383(x25613,x25614,x25611,x25615),f383(x25613,x25614,x25612,x25615))
% 163.24/162.98 [2562]~E(x25621,x25622)+E(f383(x25623,x25624,x25625,x25621),f383(x25623,x25624,x25625,x25622))
% 163.24/162.98 [2563]~E(x25631,x25632)+E(f750(x25631,x25633,x25634,x25635,x25636),f750(x25632,x25633,x25634,x25635,x25636))
% 163.24/162.98 [2564]~E(x25641,x25642)+E(f750(x25643,x25641,x25644,x25645,x25646),f750(x25643,x25642,x25644,x25645,x25646))
% 163.24/162.98 [2565]~E(x25651,x25652)+E(f750(x25653,x25654,x25651,x25655,x25656),f750(x25653,x25654,x25652,x25655,x25656))
% 163.24/162.98 [2566]~E(x25661,x25662)+E(f750(x25663,x25664,x25665,x25661,x25666),f750(x25663,x25664,x25665,x25662,x25666))
% 163.24/162.98 [2567]~E(x25671,x25672)+E(f750(x25673,x25674,x25675,x25676,x25671),f750(x25673,x25674,x25675,x25676,x25672))
% 163.24/162.98 [2568]~E(x25681,x25682)+E(f685(x25681,x25683),f685(x25682,x25683))
% 163.24/162.98 [2569]~E(x25691,x25692)+E(f685(x25693,x25691),f685(x25693,x25692))
% 163.24/162.98 [2570]~E(x25701,x25702)+E(f316(x25701,x25703,x25704),f316(x25702,x25703,x25704))
% 163.24/162.98 [2571]~E(x25711,x25712)+E(f316(x25713,x25711,x25714),f316(x25713,x25712,x25714))
% 163.24/162.98 [2572]~E(x25721,x25722)+E(f316(x25723,x25724,x25721),f316(x25723,x25724,x25722))
% 163.24/162.98 [2573]~E(x25731,x25732)+E(f388(x25731),f388(x25732))
% 163.24/162.98 [2574]~E(x25741,x25742)+E(f636(x25741,x25743,x25744),f636(x25742,x25743,x25744))
% 163.24/162.98 [2575]~E(x25751,x25752)+E(f636(x25753,x25751,x25754),f636(x25753,x25752,x25754))
% 163.24/162.98 [2576]~E(x25761,x25762)+E(f636(x25763,x25764,x25761),f636(x25763,x25764,x25762))
% 163.24/162.98 [2577]~E(x25771,x25772)+E(f550(x25771,x25773,x25774),f550(x25772,x25773,x25774))
% 163.24/162.98 [2578]~E(x25781,x25782)+E(f550(x25783,x25781,x25784),f550(x25783,x25782,x25784))
% 163.24/162.98 [2579]~E(x25791,x25792)+E(f550(x25793,x25794,x25791),f550(x25793,x25794,x25792))
% 163.24/162.98 [2580]~E(x25801,x25802)+E(f387(x25801),f387(x25802))
% 163.24/162.98 [2581]~E(x25811,x25812)+E(f795(x25811,x25813,x25814),f795(x25812,x25813,x25814))
% 163.24/162.98 [2582]~E(x25821,x25822)+E(f795(x25823,x25821,x25824),f795(x25823,x25822,x25824))
% 163.24/162.98 [2583]~E(x25831,x25832)+E(f795(x25833,x25834,x25831),f795(x25833,x25834,x25832))
% 163.24/162.98 [2584]~E(x25841,x25842)+E(f830(x25841,x25843,x25844,x25845,x25846,x25847,x25848),f830(x25842,x25843,x25844,x25845,x25846,x25847,x25848))
% 163.24/162.98 [2585]~E(x25851,x25852)+E(f830(x25853,x25851,x25854,x25855,x25856,x25857,x25858),f830(x25853,x25852,x25854,x25855,x25856,x25857,x25858))
% 163.24/162.98 [2586]~E(x25861,x25862)+E(f830(x25863,x25864,x25861,x25865,x25866,x25867,x25868),f830(x25863,x25864,x25862,x25865,x25866,x25867,x25868))
% 163.24/162.98 [2587]~E(x25871,x25872)+E(f830(x25873,x25874,x25875,x25871,x25876,x25877,x25878),f830(x25873,x25874,x25875,x25872,x25876,x25877,x25878))
% 163.24/162.98 [2588]~E(x25881,x25882)+E(f830(x25883,x25884,x25885,x25886,x25881,x25887,x25888),f830(x25883,x25884,x25885,x25886,x25882,x25887,x25888))
% 163.24/162.98 [2589]~E(x25891,x25892)+E(f830(x25893,x25894,x25895,x25896,x25897,x25891,x25898),f830(x25893,x25894,x25895,x25896,x25897,x25892,x25898))
% 163.24/162.98 [2590]~E(x25901,x25902)+E(f830(x25903,x25904,x25905,x25906,x25907,x25908,x25901),f830(x25903,x25904,x25905,x25906,x25907,x25908,x25902))
% 163.24/162.98 [2591]~E(x25911,x25912)+E(f472(x25911,x25913),f472(x25912,x25913))
% 163.24/162.98 [2592]~E(x25921,x25922)+E(f472(x25923,x25921),f472(x25923,x25922))
% 163.24/162.98 [2593]~E(x25931,x25932)+E(f576(x25931,x25933,x25934,x25935,x25936),f576(x25932,x25933,x25934,x25935,x25936))
% 163.24/162.98 [2594]~E(x25941,x25942)+E(f576(x25943,x25941,x25944,x25945,x25946),f576(x25943,x25942,x25944,x25945,x25946))
% 163.24/162.98 [2595]~E(x25951,x25952)+E(f576(x25953,x25954,x25951,x25955,x25956),f576(x25953,x25954,x25952,x25955,x25956))
% 163.24/162.98 [2596]~E(x25961,x25962)+E(f576(x25963,x25964,x25965,x25961,x25966),f576(x25963,x25964,x25965,x25962,x25966))
% 163.24/162.98 [2597]~E(x25971,x25972)+E(f576(x25973,x25974,x25975,x25976,x25971),f576(x25973,x25974,x25975,x25976,x25972))
% 163.24/162.98 [2598]~E(x25981,x25982)+E(f234(x25981,x25983,x25984,x25985,x25986),f234(x25982,x25983,x25984,x25985,x25986))
% 163.24/162.98 [2599]~E(x25991,x25992)+E(f234(x25993,x25991,x25994,x25995,x25996),f234(x25993,x25992,x25994,x25995,x25996))
% 163.24/162.98 [2600]~E(x26001,x26002)+E(f234(x26003,x26004,x26001,x26005,x26006),f234(x26003,x26004,x26002,x26005,x26006))
% 163.24/162.98 [2601]~E(x26011,x26012)+E(f234(x26013,x26014,x26015,x26011,x26016),f234(x26013,x26014,x26015,x26012,x26016))
% 163.24/162.98 [2602]~E(x26021,x26022)+E(f234(x26023,x26024,x26025,x26026,x26021),f234(x26023,x26024,x26025,x26026,x26022))
% 163.24/162.98 [2603]~E(x26031,x26032)+E(f276(x26031,x26033,x26034,x26035,x26036),f276(x26032,x26033,x26034,x26035,x26036))
% 163.24/162.98 [2604]~E(x26041,x26042)+E(f276(x26043,x26041,x26044,x26045,x26046),f276(x26043,x26042,x26044,x26045,x26046))
% 163.24/162.98 [2605]~E(x26051,x26052)+E(f276(x26053,x26054,x26051,x26055,x26056),f276(x26053,x26054,x26052,x26055,x26056))
% 163.24/162.98 [2606]~E(x26061,x26062)+E(f276(x26063,x26064,x26065,x26061,x26066),f276(x26063,x26064,x26065,x26062,x26066))
% 163.24/162.98 [2607]~E(x26071,x26072)+E(f276(x26073,x26074,x26075,x26076,x26071),f276(x26073,x26074,x26075,x26076,x26072))
% 163.24/162.98 [2608]~E(x26081,x26082)+E(f470(x26081,x26083),f470(x26082,x26083))
% 163.24/162.98 [2609]~E(x26091,x26092)+E(f470(x26093,x26091),f470(x26093,x26092))
% 163.24/162.98 [2610]~E(x26101,x26102)+E(f98(x26101,x26103,x26104),f98(x26102,x26103,x26104))
% 163.24/162.98 [2611]~E(x26111,x26112)+E(f98(x26113,x26111,x26114),f98(x26113,x26112,x26114))
% 163.24/162.98 [2612]~E(x26121,x26122)+E(f98(x26123,x26124,x26121),f98(x26123,x26124,x26122))
% 163.24/162.98 [2613]~E(x26131,x26132)+E(f233(x26131,x26133,x26134,x26135,x26136),f233(x26132,x26133,x26134,x26135,x26136))
% 163.24/162.98 [2614]~E(x26141,x26142)+E(f233(x26143,x26141,x26144,x26145,x26146),f233(x26143,x26142,x26144,x26145,x26146))
% 163.24/162.98 [2615]~E(x26151,x26152)+E(f233(x26153,x26154,x26151,x26155,x26156),f233(x26153,x26154,x26152,x26155,x26156))
% 163.24/162.98 [2616]~E(x26161,x26162)+E(f233(x26163,x26164,x26165,x26161,x26166),f233(x26163,x26164,x26165,x26162,x26166))
% 163.24/162.98 [2617]~E(x26171,x26172)+E(f233(x26173,x26174,x26175,x26176,x26171),f233(x26173,x26174,x26175,x26176,x26172))
% 163.24/162.98 [2618]~E(x26181,x26182)+E(f218(x26181,x26183,x26184,x26185,x26186,x26187,x26188),f218(x26182,x26183,x26184,x26185,x26186,x26187,x26188))
% 163.24/162.98 [2619]~E(x26191,x26192)+E(f218(x26193,x26191,x26194,x26195,x26196,x26197,x26198),f218(x26193,x26192,x26194,x26195,x26196,x26197,x26198))
% 163.24/162.98 [2620]~E(x26201,x26202)+E(f218(x26203,x26204,x26201,x26205,x26206,x26207,x26208),f218(x26203,x26204,x26202,x26205,x26206,x26207,x26208))
% 163.24/162.98 [2621]~E(x26211,x26212)+E(f218(x26213,x26214,x26215,x26211,x26216,x26217,x26218),f218(x26213,x26214,x26215,x26212,x26216,x26217,x26218))
% 163.24/162.98 [2622]~E(x26221,x26222)+E(f218(x26223,x26224,x26225,x26226,x26221,x26227,x26228),f218(x26223,x26224,x26225,x26226,x26222,x26227,x26228))
% 163.24/162.98 [2623]~E(x26231,x26232)+E(f218(x26233,x26234,x26235,x26236,x26237,x26231,x26238),f218(x26233,x26234,x26235,x26236,x26237,x26232,x26238))
% 163.24/162.98 [2624]~E(x26241,x26242)+E(f218(x26243,x26244,x26245,x26246,x26247,x26248,x26241),f218(x26243,x26244,x26245,x26246,x26247,x26248,x26242))
% 163.24/162.98 [2625]~E(x26251,x26252)+E(f725(x26251,x26253,x26254,x26255),f725(x26252,x26253,x26254,x26255))
% 163.24/162.98 [2626]~E(x26261,x26262)+E(f725(x26263,x26261,x26264,x26265),f725(x26263,x26262,x26264,x26265))
% 163.24/162.98 [2627]~E(x26271,x26272)+E(f725(x26273,x26274,x26271,x26275),f725(x26273,x26274,x26272,x26275))
% 163.24/162.98 [2628]~E(x26281,x26282)+E(f725(x26283,x26284,x26285,x26281),f725(x26283,x26284,x26285,x26282))
% 163.24/162.98 [2629]~E(x26291,x26292)+E(f718(x26291),f718(x26292))
% 163.24/162.98 [2630]~E(x26301,x26302)+E(f555(x26301),f555(x26302))
% 163.24/162.98 [2631]~E(x26311,x26312)+E(f393(x26311,x26313),f393(x26312,x26313))
% 163.24/162.98 [2632]~E(x26321,x26322)+E(f393(x26323,x26321),f393(x26323,x26322))
% 163.24/162.98 [2633]~P1(x26331)+P1(x26332)+~E(x26331,x26332)
% 163.24/162.98 [2634]~P2(x26341)+P2(x26342)+~E(x26341,x26342)
% 163.24/162.98 [2635]~P24(x26351)+P24(x26352)+~E(x26351,x26352)
% 163.24/162.98 [2636]~P25(x26361)+P25(x26362)+~E(x26361,x26362)
% 163.24/162.98 [2637]P147(x26372,x26373,x26374)+~E(x26371,x26372)+~P147(x26371,x26373,x26374)
% 163.24/162.98 [2638]P147(x26383,x26382,x26384)+~E(x26381,x26382)+~P147(x26383,x26381,x26384)
% 163.24/162.98 [2639]P147(x26393,x26394,x26392)+~E(x26391,x26392)+~P147(x26393,x26394,x26391)
% 163.24/162.98 [2640]~P26(x26401)+P26(x26402)+~E(x26401,x26402)
% 163.24/162.98 [2641]~P109(x26411)+P109(x26412)+~E(x26411,x26412)
% 163.24/162.98 [2642]P146(x26422,x26423,x26424)+~E(x26421,x26422)+~P146(x26421,x26423,x26424)
% 163.24/162.98 [2643]P146(x26433,x26432,x26434)+~E(x26431,x26432)+~P146(x26433,x26431,x26434)
% 163.24/162.98 [2644]P146(x26443,x26444,x26442)+~E(x26441,x26442)+~P146(x26443,x26444,x26441)
% 163.24/162.98 [2645]~P27(x26451)+P27(x26452)+~E(x26451,x26452)
% 163.24/162.98 [2646]~P28(x26461)+P28(x26462)+~E(x26461,x26462)
% 163.24/162.98 [2647]~P110(x26471)+P110(x26472)+~E(x26471,x26472)
% 163.24/162.98 [2648]~P101(x26481)+P101(x26482)+~E(x26481,x26482)
% 163.24/162.98 [2649]~P124(x26491)+P124(x26492)+~E(x26491,x26492)
% 163.24/162.98 [2650]~P89(x26501)+P89(x26502)+~E(x26501,x26502)
% 163.24/162.98 [2651]~P67(x26511)+P67(x26512)+~E(x26511,x26512)
% 163.24/162.98 [2652]~P65(x26521)+P65(x26522)+~E(x26521,x26522)
% 163.24/162.98 [2653]P59(x26532,x26533)+~E(x26531,x26532)+~P59(x26531,x26533)
% 163.24/162.98 [2654]P59(x26543,x26542)+~E(x26541,x26542)+~P59(x26543,x26541)
% 163.24/162.98 [2655]~P69(x26551)+P69(x26552)+~E(x26551,x26552)
% 163.24/162.98 [2656]~P102(x26561)+P102(x26562)+~E(x26561,x26562)
% 163.24/162.98 [2657]~P118(x26571)+P118(x26572)+~E(x26571,x26572)
% 163.24/162.98 [2658]~P115(x26581)+P115(x26582)+~E(x26581,x26582)
% 163.24/162.98 [2659]~P99(x26591)+P99(x26592)+~E(x26591,x26592)
% 163.24/162.98 [2660]P31(x26602,x26603)+~E(x26601,x26602)+~P31(x26601,x26603)
% 163.24/162.98 [2661]P31(x26613,x26612)+~E(x26611,x26612)+~P31(x26613,x26611)
% 163.24/162.98 [2662]~P111(x26621)+P111(x26622)+~E(x26621,x26622)
% 163.24/162.98 [2663]~P29(x26631)+P29(x26632)+~E(x26631,x26632)
% 163.24/162.98 [2664]~P68(x26641)+P68(x26642)+~E(x26641,x26642)
% 163.24/162.98 [2665]~P106(x26651)+P106(x26652)+~E(x26651,x26652)
% 163.24/162.98 [2666]~P79(x26661)+P79(x26662)+~E(x26661,x26662)
% 163.24/162.98 [2667]~P80(x26671)+P80(x26672)+~E(x26671,x26672)
% 163.24/162.98 [2668]P6(x26682,x26683,x26684)+~E(x26681,x26682)+~P6(x26681,x26683,x26684)
% 163.24/162.98 [2669]P6(x26693,x26692,x26694)+~E(x26691,x26692)+~P6(x26693,x26691,x26694)
% 163.24/162.98 [2670]P6(x26703,x26704,x26702)+~E(x26701,x26702)+~P6(x26703,x26704,x26701)
% 163.24/162.99 [2671]~P94(x26711)+P94(x26712)+~E(x26711,x26712)
% 163.24/162.99 [2672]~P120(x26721)+P120(x26722)+~E(x26721,x26722)
% 163.24/162.99 [2673]~P137(x26731)+P137(x26732)+~E(x26731,x26732)
% 163.24/162.99 [2674]~P70(x26741)+P70(x26742)+~E(x26741,x26742)
% 163.24/162.99 [2675]~P61(x26751)+P61(x26752)+~E(x26751,x26752)
% 163.24/162.99 [2676]P56(x26762,x26763,x26764,x26765,x26766)+~E(x26761,x26762)+~P56(x26761,x26763,x26764,x26765,x26766)
% 163.24/162.99 [2677]P56(x26773,x26772,x26774,x26775,x26776)+~E(x26771,x26772)+~P56(x26773,x26771,x26774,x26775,x26776)
% 163.24/162.99 [2678]P56(x26783,x26784,x26782,x26785,x26786)+~E(x26781,x26782)+~P56(x26783,x26784,x26781,x26785,x26786)
% 163.24/162.99 [2679]P56(x26793,x26794,x26795,x26792,x26796)+~E(x26791,x26792)+~P56(x26793,x26794,x26795,x26791,x26796)
% 163.24/162.99 [2680]P56(x26803,x26804,x26805,x26806,x26802)+~E(x26801,x26802)+~P56(x26803,x26804,x26805,x26806,x26801)
% 163.24/162.99 [2681]~P71(x26811)+P71(x26812)+~E(x26811,x26812)
% 163.24/162.99 [2682]~P83(x26821)+P83(x26822)+~E(x26821,x26822)
% 163.24/162.99 [2683]~P81(x26831)+P81(x26832)+~E(x26831,x26832)
% 163.24/162.99 [2684]~P72(x26841)+P72(x26842)+~E(x26841,x26842)
% 163.24/162.99 [2685]P15(x26852,x26853,x26854,x26855)+~E(x26851,x26852)+~P15(x26851,x26853,x26854,x26855)
% 163.24/162.99 [2686]P15(x26863,x26862,x26864,x26865)+~E(x26861,x26862)+~P15(x26863,x26861,x26864,x26865)
% 163.24/162.99 [2687]P15(x26873,x26874,x26872,x26875)+~E(x26871,x26872)+~P15(x26873,x26874,x26871,x26875)
% 163.24/162.99 [2688]P15(x26883,x26884,x26885,x26882)+~E(x26881,x26882)+~P15(x26883,x26884,x26885,x26881)
% 163.24/162.99 [2689]~P73(x26891)+P73(x26892)+~E(x26891,x26892)
% 163.24/162.99 [2690]~P107(x26901)+P107(x26902)+~E(x26901,x26902)
% 163.24/162.99 [2691]~P75(x26911)+P75(x26912)+~E(x26911,x26912)
% 163.24/162.99 [2692]~P100(x26921)+P100(x26922)+~E(x26921,x26922)
% 163.24/162.99 [2693]~P112(x26931)+P112(x26932)+~E(x26931,x26932)
% 163.24/162.99 [2694]~P60(x26941)+P60(x26942)+~E(x26941,x26942)
% 163.24/162.99 [2695]~P63(x26951)+P63(x26952)+~E(x26951,x26952)
% 163.24/162.99 [2696]~P85(x26961)+P85(x26962)+~E(x26961,x26962)
% 163.24/162.99 [2697]P35(x26972,x26973,x26974,x26975)+~E(x26971,x26972)+~P35(x26971,x26973,x26974,x26975)
% 163.24/162.99 [2698]P35(x26983,x26982,x26984,x26985)+~E(x26981,x26982)+~P35(x26983,x26981,x26984,x26985)
% 163.24/162.99 [2699]P35(x26993,x26994,x26992,x26995)+~E(x26991,x26992)+~P35(x26993,x26994,x26991,x26995)
% 163.24/162.99 [2700]P35(x27003,x27004,x27005,x27002)+~E(x27001,x27002)+~P35(x27003,x27004,x27005,x27001)
% 163.24/162.99 [2701]~P95(x27011)+P95(x27012)+~E(x27011,x27012)
% 163.24/162.99 [2702]P21(x27022,x27023,x27024,x27025)+~E(x27021,x27022)+~P21(x27021,x27023,x27024,x27025)
% 163.24/162.99 [2703]P21(x27033,x27032,x27034,x27035)+~E(x27031,x27032)+~P21(x27033,x27031,x27034,x27035)
% 163.24/162.99 [2704]P21(x27043,x27044,x27042,x27045)+~E(x27041,x27042)+~P21(x27043,x27044,x27041,x27045)
% 163.24/162.99 [2705]P21(x27053,x27054,x27055,x27052)+~E(x27051,x27052)+~P21(x27053,x27054,x27055,x27051)
% 163.24/162.99 [2706]~P140(x27061)+P140(x27062)+~E(x27061,x27062)
% 163.24/162.99 [2707]P40(x27072,x27073)+~E(x27071,x27072)+~P40(x27071,x27073)
% 163.24/162.99 [2708]P40(x27083,x27082)+~E(x27081,x27082)+~P40(x27083,x27081)
% 163.24/162.99 [2709]~P117(x27091)+P117(x27092)+~E(x27091,x27092)
% 163.24/162.99 [2710]~P116(x27101)+P116(x27102)+~E(x27101,x27102)
% 163.24/162.99 [2711]~P123(x27111)+P123(x27112)+~E(x27111,x27112)
% 163.24/162.99 [2712]P11(x27122,x27123,x27124)+~E(x27121,x27122)+~P11(x27121,x27123,x27124)
% 163.24/162.99 [2713]P11(x27133,x27132,x27134)+~E(x27131,x27132)+~P11(x27133,x27131,x27134)
% 163.24/162.99 [2714]P11(x27143,x27144,x27142)+~E(x27141,x27142)+~P11(x27143,x27144,x27141)
% 163.24/162.99 [2715]~P138(x27151)+P138(x27152)+~E(x27151,x27152)
% 163.24/162.99 [2716]~P87(x27161)+P87(x27162)+~E(x27161,x27162)
% 163.24/162.99 [2717]P33(x27172,x27173)+~E(x27171,x27172)+~P33(x27171,x27173)
% 163.24/162.99 [2718]P33(x27183,x27182)+~E(x27181,x27182)+~P33(x27183,x27181)
% 163.24/162.99 [2719]~P76(x27191)+P76(x27192)+~E(x27191,x27192)
% 163.24/162.99 [2720]~P42(x27201)+P42(x27202)+~E(x27201,x27202)
% 163.24/162.99 [2721]P19(x27212,x27213,x27214,x27215,x27216,x27217)+~E(x27211,x27212)+~P19(x27211,x27213,x27214,x27215,x27216,x27217)
% 163.24/162.99 [2722]P19(x27223,x27222,x27224,x27225,x27226,x27227)+~E(x27221,x27222)+~P19(x27223,x27221,x27224,x27225,x27226,x27227)
% 163.24/162.99 [2723]P19(x27233,x27234,x27232,x27235,x27236,x27237)+~E(x27231,x27232)+~P19(x27233,x27234,x27231,x27235,x27236,x27237)
% 163.24/162.99 [2724]P19(x27243,x27244,x27245,x27242,x27246,x27247)+~E(x27241,x27242)+~P19(x27243,x27244,x27245,x27241,x27246,x27247)
% 163.24/162.99 [2725]P19(x27253,x27254,x27255,x27256,x27252,x27257)+~E(x27251,x27252)+~P19(x27253,x27254,x27255,x27256,x27251,x27257)
% 163.24/162.99 [2726]P19(x27263,x27264,x27265,x27266,x27267,x27262)+~E(x27261,x27262)+~P19(x27263,x27264,x27265,x27266,x27267,x27261)
% 163.24/162.99 [2727]P37(x27272,x27273,x27274,x27275,x27276)+~E(x27271,x27272)+~P37(x27271,x27273,x27274,x27275,x27276)
% 163.24/162.99 [2728]P37(x27283,x27282,x27284,x27285,x27286)+~E(x27281,x27282)+~P37(x27283,x27281,x27284,x27285,x27286)
% 163.24/162.99 [2729]P37(x27293,x27294,x27292,x27295,x27296)+~E(x27291,x27292)+~P37(x27293,x27294,x27291,x27295,x27296)
% 163.24/162.99 [2730]P37(x27303,x27304,x27305,x27302,x27306)+~E(x27301,x27302)+~P37(x27303,x27304,x27305,x27301,x27306)
% 163.24/162.99 [2731]P37(x27313,x27314,x27315,x27316,x27312)+~E(x27311,x27312)+~P37(x27313,x27314,x27315,x27316,x27311)
% 163.24/162.99 [2732]~P108(x27321)+P108(x27322)+~E(x27321,x27322)
% 163.24/162.99 [2733]P23(x27332,x27333,x27334)+~E(x27331,x27332)+~P23(x27331,x27333,x27334)
% 163.24/162.99 [2734]P23(x27343,x27342,x27344)+~E(x27341,x27342)+~P23(x27343,x27341,x27344)
% 163.24/162.99 [2735]P23(x27353,x27354,x27352)+~E(x27351,x27352)+~P23(x27353,x27354,x27351)
% 163.24/162.99 [2736]P32(x27362,x27363,x27364)+~E(x27361,x27362)+~P32(x27361,x27363,x27364)
% 163.24/162.99 [2737]P32(x27373,x27372,x27374)+~E(x27371,x27372)+~P32(x27373,x27371,x27374)
% 163.24/162.99 [2738]P32(x27383,x27384,x27382)+~E(x27381,x27382)+~P32(x27383,x27384,x27381)
% 163.24/162.99 [2739]~P62(x27391)+P62(x27392)+~E(x27391,x27392)
% 163.24/162.99 [2740]P17(x27402,x27403,x27404,x27405,x27406)+~E(x27401,x27402)+~P17(x27401,x27403,x27404,x27405,x27406)
% 163.24/162.99 [2741]P17(x27413,x27412,x27414,x27415,x27416)+~E(x27411,x27412)+~P17(x27413,x27411,x27414,x27415,x27416)
% 163.24/162.99 [2742]P17(x27423,x27424,x27422,x27425,x27426)+~E(x27421,x27422)+~P17(x27423,x27424,x27421,x27425,x27426)
% 163.24/162.99 [2743]P17(x27433,x27434,x27435,x27432,x27436)+~E(x27431,x27432)+~P17(x27433,x27434,x27435,x27431,x27436)
% 163.24/162.99 [2744]P17(x27443,x27444,x27445,x27446,x27442)+~E(x27441,x27442)+~P17(x27443,x27444,x27445,x27446,x27441)
% 163.24/162.99 [2745]~P114(x27451)+P114(x27452)+~E(x27451,x27452)
% 163.24/162.99 [2746]P38(x27462,x27463,x27464)+~E(x27461,x27462)+~P38(x27461,x27463,x27464)
% 163.24/162.99 [2747]P38(x27473,x27472,x27474)+~E(x27471,x27472)+~P38(x27473,x27471,x27474)
% 163.24/162.99 [2748]P38(x27483,x27484,x27482)+~E(x27481,x27482)+~P38(x27483,x27484,x27481)
% 163.24/162.99 [2749]P12(x27492,x27493,x27494)+~E(x27491,x27492)+~P12(x27491,x27493,x27494)
% 163.24/162.99 [2750]P12(x27503,x27502,x27504)+~E(x27501,x27502)+~P12(x27503,x27501,x27504)
% 163.24/162.99 [2751]P12(x27513,x27514,x27512)+~E(x27511,x27512)+~P12(x27513,x27514,x27511)
% 163.24/162.99 [2752]~P86(x27521)+P86(x27522)+~E(x27521,x27522)
% 163.24/162.99 [2753]~P84(x27531)+P84(x27532)+~E(x27531,x27532)
% 163.24/162.99 [2754]~P30(x27541)+P30(x27542)+~E(x27541,x27542)
% 163.24/162.99 [2755]~P97(x27551)+P97(x27552)+~E(x27551,x27552)
% 163.24/162.99 [2756]~P142(x27561)+P142(x27562)+~E(x27561,x27562)
% 163.24/162.99 [2757]~P139(x27571)+P139(x27572)+~E(x27571,x27572)
% 163.24/162.99 [2758]P16(x27582,x27583,x27584,x27585)+~E(x27581,x27582)+~P16(x27581,x27583,x27584,x27585)
% 163.24/162.99 [2759]P16(x27593,x27592,x27594,x27595)+~E(x27591,x27592)+~P16(x27593,x27591,x27594,x27595)
% 163.24/162.99 [2760]P16(x27603,x27604,x27602,x27605)+~E(x27601,x27602)+~P16(x27603,x27604,x27601,x27605)
% 163.24/162.99 [2761]P16(x27613,x27614,x27615,x27612)+~E(x27611,x27612)+~P16(x27613,x27614,x27615,x27611)
% 163.24/162.99 [2762]~P82(x27621)+P82(x27622)+~E(x27621,x27622)
% 163.24/162.99 [2763]~P113(x27631)+P113(x27632)+~E(x27631,x27632)
% 163.24/162.99 [2764]~P143(x27641)+P143(x27642)+~E(x27641,x27642)
% 163.24/162.99 [2765]P20(x27652,x27653,x27654)+~E(x27651,x27652)+~P20(x27651,x27653,x27654)
% 163.24/162.99 [2766]P20(x27663,x27662,x27664)+~E(x27661,x27662)+~P20(x27663,x27661,x27664)
% 163.24/162.99 [2767]P20(x27673,x27674,x27672)+~E(x27671,x27672)+~P20(x27673,x27674,x27671)
% 163.24/162.99 [2768]~P66(x27681)+P66(x27682)+~E(x27681,x27682)
% 163.24/162.99 [2769]P36(x27692,x27693,x27694)+~E(x27691,x27692)+~P36(x27691,x27693,x27694)
% 163.24/162.99 [2770]P36(x27703,x27702,x27704)+~E(x27701,x27702)+~P36(x27703,x27701,x27704)
% 163.24/162.99 [2771]P36(x27713,x27714,x27712)+~E(x27711,x27712)+~P36(x27713,x27714,x27711)
% 163.24/162.99 [2772]P58(x27722,x27723,x27724,x27725)+~E(x27721,x27722)+~P58(x27721,x27723,x27724,x27725)
% 163.24/162.99 [2773]P58(x27733,x27732,x27734,x27735)+~E(x27731,x27732)+~P58(x27733,x27731,x27734,x27735)
% 163.24/162.99 [2774]P58(x27743,x27744,x27742,x27745)+~E(x27741,x27742)+~P58(x27743,x27744,x27741,x27745)
% 163.24/162.99 [2775]P58(x27753,x27754,x27755,x27752)+~E(x27751,x27752)+~P58(x27753,x27754,x27755,x27751)
% 163.24/162.99 [2776]P54(x27762,x27763,x27764)+~E(x27761,x27762)+~P54(x27761,x27763,x27764)
% 163.24/162.99 [2777]P54(x27773,x27772,x27774)+~E(x27771,x27772)+~P54(x27773,x27771,x27774)
% 163.24/162.99 [2778]P54(x27783,x27784,x27782)+~E(x27781,x27782)+~P54(x27783,x27784,x27781)
% 163.24/162.99 [2779]P53(x27792,x27793,x27794,x27795,x27796,x27797,x27798)+~E(x27791,x27792)+~P53(x27791,x27793,x27794,x27795,x27796,x27797,x27798)
% 163.24/162.99 [2780]P53(x27803,x27802,x27804,x27805,x27806,x27807,x27808)+~E(x27801,x27802)+~P53(x27803,x27801,x27804,x27805,x27806,x27807,x27808)
% 163.24/162.99 [2781]P53(x27813,x27814,x27812,x27815,x27816,x27817,x27818)+~E(x27811,x27812)+~P53(x27813,x27814,x27811,x27815,x27816,x27817,x27818)
% 163.24/162.99 [2782]P53(x27823,x27824,x27825,x27822,x27826,x27827,x27828)+~E(x27821,x27822)+~P53(x27823,x27824,x27825,x27821,x27826,x27827,x27828)
% 163.24/162.99 [2783]P53(x27833,x27834,x27835,x27836,x27832,x27837,x27838)+~E(x27831,x27832)+~P53(x27833,x27834,x27835,x27836,x27831,x27837,x27838)
% 163.24/162.99 [2784]P53(x27843,x27844,x27845,x27846,x27847,x27842,x27848)+~E(x27841,x27842)+~P53(x27843,x27844,x27845,x27846,x27847,x27841,x27848)
% 163.24/162.99 [2785]P53(x27853,x27854,x27855,x27856,x27857,x27858,x27852)+~E(x27851,x27852)+~P53(x27853,x27854,x27855,x27856,x27857,x27858,x27851)
% 163.24/162.99 [2786]P50(x27862,x27863,x27864)+~E(x27861,x27862)+~P50(x27861,x27863,x27864)
% 163.24/162.99 [2787]P50(x27873,x27872,x27874)+~E(x27871,x27872)+~P50(x27873,x27871,x27874)
% 163.24/162.99 [2788]P50(x27883,x27884,x27882)+~E(x27881,x27882)+~P50(x27883,x27884,x27881)
% 163.24/162.99 [2789]~P144(x27891)+P144(x27892)+~E(x27891,x27892)
% 163.24/162.99 [2790]P22(x27902,x27903)+~E(x27901,x27902)+~P22(x27901,x27903)
% 163.24/162.99 [2791]P22(x27913,x27912)+~E(x27911,x27912)+~P22(x27913,x27911)
% 163.24/162.99 [2792]P13(x27922,x27923,x27924)+~E(x27921,x27922)+~P13(x27921,x27923,x27924)
% 163.24/162.99 [2793]P13(x27933,x27932,x27934)+~E(x27931,x27932)+~P13(x27933,x27931,x27934)
% 163.24/162.99 [2794]P13(x27943,x27944,x27942)+~E(x27941,x27942)+~P13(x27943,x27944,x27941)
% 163.24/162.99 [2795]~P88(x27951)+P88(x27952)+~E(x27951,x27952)
% 163.24/162.99 [2796]P18(x27962,x27963,x27964,x27965,x27966,x27967)+~E(x27961,x27962)+~P18(x27961,x27963,x27964,x27965,x27966,x27967)
% 163.24/162.99 [2797]P18(x27973,x27972,x27974,x27975,x27976,x27977)+~E(x27971,x27972)+~P18(x27973,x27971,x27974,x27975,x27976,x27977)
% 163.24/162.99 [2798]P18(x27983,x27984,x27982,x27985,x27986,x27987)+~E(x27981,x27982)+~P18(x27983,x27984,x27981,x27985,x27986,x27987)
% 163.24/162.99 [2799]P18(x27993,x27994,x27995,x27992,x27996,x27997)+~E(x27991,x27992)+~P18(x27993,x27994,x27995,x27991,x27996,x27997)
% 163.24/162.99 [2800]P18(x28003,x28004,x28005,x28006,x28002,x28007)+~E(x28001,x28002)+~P18(x28003,x28004,x28005,x28006,x28001,x28007)
% 163.24/162.99 [2801]P18(x28013,x28014,x28015,x28016,x28017,x28012)+~E(x28011,x28012)+~P18(x28013,x28014,x28015,x28016,x28017,x28011)
% 163.24/162.99 [2802]~P39(x28021)+P39(x28022)+~E(x28021,x28022)
% 163.24/162.99 [2803]~P77(x28031)+P77(x28032)+~E(x28031,x28032)
% 163.24/162.99 [2804]~P126(x28041)+P126(x28042)+~E(x28041,x28042)
% 163.24/162.99 [2805]~P92(x28051)+P92(x28052)+~E(x28051,x28052)
% 163.24/162.99 [2806]P55(x28062,x28063,x28064)+~E(x28061,x28062)+~P55(x28061,x28063,x28064)
% 163.24/162.99 [2807]P55(x28073,x28072,x28074)+~E(x28071,x28072)+~P55(x28073,x28071,x28074)
% 163.24/162.99 [2808]P55(x28083,x28084,x28082)+~E(x28081,x28082)+~P55(x28083,x28084,x28081)
% 163.24/162.99 [2809]~P129(x28091)+P129(x28092)+~E(x28091,x28092)
% 163.24/162.99 [2810]P34(x28102,x28103,x28104)+~E(x28101,x28102)+~P34(x28101,x28103,x28104)
% 163.24/162.99 [2811]P34(x28113,x28112,x28114)+~E(x28111,x28112)+~P34(x28113,x28111,x28114)
% 163.24/162.99 [2812]P34(x28123,x28124,x28122)+~E(x28121,x28122)+~P34(x28123,x28124,x28121)
% 163.24/162.99 [2813]~P64(x28131)+P64(x28132)+~E(x28131,x28132)
% 163.24/162.99 [2814]~P93(x28141)+P93(x28142)+~E(x28141,x28142)
% 163.24/162.99 [2815]~P141(x28151)+P141(x28152)+~E(x28151,x28152)
% 163.24/162.99 [2816]~P127(x28161)+P127(x28162)+~E(x28161,x28162)
% 163.24/162.99 [2817]P52(x28172,x28173)+~E(x28171,x28172)+~P52(x28171,x28173)
% 163.24/162.99 [2818]P52(x28183,x28182)+~E(x28181,x28182)+~P52(x28183,x28181)
% 163.24/162.99 [2819]P9(x28192,x28193,x28194,x28195)+~E(x28191,x28192)+~P9(x28191,x28193,x28194,x28195)
% 163.24/162.99 [2820]P9(x28203,x28202,x28204,x28205)+~E(x28201,x28202)+~P9(x28203,x28201,x28204,x28205)
% 163.24/162.99 [2821]P9(x28213,x28214,x28212,x28215)+~E(x28211,x28212)+~P9(x28213,x28214,x28211,x28215)
% 163.24/162.99 [2822]P9(x28223,x28224,x28225,x28222)+~E(x28221,x28222)+~P9(x28223,x28224,x28225,x28221)
% 163.24/162.99 [2823]P48(x28232,x28233,x28234)+~E(x28231,x28232)+~P48(x28231,x28233,x28234)
% 163.24/162.99 [2824]P48(x28243,x28242,x28244)+~E(x28241,x28242)+~P48(x28243,x28241,x28244)
% 163.24/162.99 [2825]P48(x28253,x28254,x28252)+~E(x28251,x28252)+~P48(x28253,x28254,x28251)
% 163.24/162.99 [2826]~P128(x28261)+P128(x28262)+~E(x28261,x28262)
% 163.24/162.99 [2827]P57(x28272,x28273)+~E(x28271,x28272)+~P57(x28271,x28273)
% 163.24/162.99 [2828]P57(x28283,x28282)+~E(x28281,x28282)+~P57(x28283,x28281)
% 163.24/162.99 [2829]P5(x28292,x28293)+~E(x28291,x28292)+~P5(x28291,x28293)
% 163.24/162.99 [2830]P5(x28303,x28302)+~E(x28301,x28302)+~P5(x28303,x28301)
% 163.24/162.99 [2831]~P133(x28311)+P133(x28312)+~E(x28311,x28312)
% 163.24/162.99 [2832]P10(x28322,x28323,x28324,x28325,x28326,x28327)+~E(x28321,x28322)+~P10(x28321,x28323,x28324,x28325,x28326,x28327)
% 163.24/162.99 [2833]P10(x28333,x28332,x28334,x28335,x28336,x28337)+~E(x28331,x28332)+~P10(x28333,x28331,x28334,x28335,x28336,x28337)
% 163.24/162.99 [2834]P10(x28343,x28344,x28342,x28345,x28346,x28347)+~E(x28341,x28342)+~P10(x28343,x28344,x28341,x28345,x28346,x28347)
% 163.24/162.99 [2835]P10(x28353,x28354,x28355,x28352,x28356,x28357)+~E(x28351,x28352)+~P10(x28353,x28354,x28355,x28351,x28356,x28357)
% 163.24/162.99 [2836]P10(x28363,x28364,x28365,x28366,x28362,x28367)+~E(x28361,x28362)+~P10(x28363,x28364,x28365,x28366,x28361,x28367)
% 163.24/162.99 [2837]P10(x28373,x28374,x28375,x28376,x28377,x28372)+~E(x28371,x28372)+~P10(x28373,x28374,x28375,x28376,x28377,x28371)
% 163.24/162.99 [2838]~P74(x28381)+P74(x28382)+~E(x28381,x28382)
% 163.24/162.99 [2839]~P104(x28391)+P104(x28392)+~E(x28391,x28392)
% 163.24/162.99 [2840]~P125(x28401)+P125(x28402)+~E(x28401,x28402)
% 163.24/162.99 [2841]~P90(x28411)+P90(x28412)+~E(x28411,x28412)
% 163.24/162.99 [2842]P8(x28422,x28423,x28424)+~E(x28421,x28422)+~P8(x28421,x28423,x28424)
% 163.24/162.99 [2843]P8(x28433,x28432,x28434)+~E(x28431,x28432)+~P8(x28433,x28431,x28434)
% 163.24/162.99 [2844]P8(x28443,x28444,x28442)+~E(x28441,x28442)+~P8(x28443,x28444,x28441)
% 163.24/162.99 [2845]~P135(x28451)+P135(x28452)+~E(x28451,x28452)
% 163.24/162.99 [2846]~P121(x28461)+P121(x28462)+~E(x28461,x28462)
% 163.24/162.99 [2847]P44(x28472,x28473,x28474,x28475,x28476,x28477)+~E(x28471,x28472)+~P44(x28471,x28473,x28474,x28475,x28476,x28477)
% 163.24/162.99 [2848]P44(x28483,x28482,x28484,x28485,x28486,x28487)+~E(x28481,x28482)+~P44(x28483,x28481,x28484,x28485,x28486,x28487)
% 163.24/162.99 [2849]P44(x28493,x28494,x28492,x28495,x28496,x28497)+~E(x28491,x28492)+~P44(x28493,x28494,x28491,x28495,x28496,x28497)
% 163.24/162.99 [2850]P44(x28503,x28504,x28505,x28502,x28506,x28507)+~E(x28501,x28502)+~P44(x28503,x28504,x28505,x28501,x28506,x28507)
% 163.24/162.99 [2851]P44(x28513,x28514,x28515,x28516,x28512,x28517)+~E(x28511,x28512)+~P44(x28513,x28514,x28515,x28516,x28511,x28517)
% 163.24/162.99 [2852]P44(x28523,x28524,x28525,x28526,x28527,x28522)+~E(x28521,x28522)+~P44(x28523,x28524,x28525,x28526,x28527,x28521)
% 163.24/162.99 [2853]P14(x28532,x28533,x28534)+~E(x28531,x28532)+~P14(x28531,x28533,x28534)
% 163.24/162.99 [2854]P14(x28543,x28542,x28544)+~E(x28541,x28542)+~P14(x28543,x28541,x28544)
% 163.24/162.99 [2855]P14(x28553,x28554,x28552)+~E(x28551,x28552)+~P14(x28553,x28554,x28551)
% 163.24/162.99 [2856]~P96(x28561)+P96(x28562)+~E(x28561,x28562)
% 163.24/162.99 [2857]~P98(x28571)+P98(x28572)+~E(x28571,x28572)
% 163.24/162.99 [2858]~P122(x28581)+P122(x28582)+~E(x28581,x28582)
% 163.24/162.99 [2859]P45(x28592,x28593)+~E(x28591,x28592)+~P45(x28591,x28593)
% 163.24/162.99 [2860]P45(x28603,x28602)+~E(x28601,x28602)+~P45(x28603,x28601)
% 163.24/162.99 [2861]P47(x28612,x28613)+~E(x28611,x28612)+~P47(x28611,x28613)
% 163.24/162.99 [2862]P47(x28623,x28622)+~E(x28621,x28622)+~P47(x28623,x28621)
% 163.24/162.99 [2863]P51(x28632,x28633)+~E(x28631,x28632)+~P51(x28631,x28633)
% 163.24/162.99 [2864]P51(x28643,x28642)+~E(x28641,x28642)+~P51(x28643,x28641)
% 163.24/162.99 [2865]~P119(x28651)+P119(x28652)+~E(x28651,x28652)
% 163.24/162.99 [2866]P41(x28662,x28663)+~E(x28661,x28662)+~P41(x28661,x28663)
% 163.24/162.99 [2867]P41(x28673,x28672)+~E(x28671,x28672)+~P41(x28673,x28671)
% 163.24/162.99 [2868]~P91(x28681)+P91(x28682)+~E(x28681,x28682)
% 163.24/162.99 [2869]~P136(x28691)+P136(x28692)+~E(x28691,x28692)
% 163.24/162.99 [2870]P4(x28702,x28703,x28704,x28705,x28706)+~E(x28701,x28702)+~P4(x28701,x28703,x28704,x28705,x28706)
% 163.24/162.99 [2871]P4(x28713,x28712,x28714,x28715,x28716)+~E(x28711,x28712)+~P4(x28713,x28711,x28714,x28715,x28716)
% 163.24/162.99 [2872]P4(x28723,x28724,x28722,x28725,x28726)+~E(x28721,x28722)+~P4(x28723,x28724,x28721,x28725,x28726)
% 163.24/162.99 [2873]P4(x28733,x28734,x28735,x28732,x28736)+~E(x28731,x28732)+~P4(x28733,x28734,x28735,x28731,x28736)
% 163.24/162.99 [2874]P4(x28743,x28744,x28745,x28746,x28742)+~E(x28741,x28742)+~P4(x28743,x28744,x28745,x28746,x28741)
% 163.24/162.99 [2875]~P130(x28751)+P130(x28752)+~E(x28751,x28752)
% 163.24/162.99 [2876]P7(x28762,x28763,x28764)+~E(x28761,x28762)+~P7(x28761,x28763,x28764)
% 163.24/162.99 [2877]P7(x28773,x28772,x28774)+~E(x28771,x28772)+~P7(x28773,x28771,x28774)
% 163.24/162.99 [2878]P7(x28783,x28784,x28782)+~E(x28781,x28782)+~P7(x28783,x28784,x28781)
% 163.24/162.99 [2879]~P46(x28791)+P46(x28792)+~E(x28791,x28792)
% 163.24/162.99 [2880]~P78(x28801)+P78(x28802)+~E(x28801,x28802)
% 163.24/162.99 [2881]~P134(x28811)+P134(x28812)+~E(x28811,x28812)
% 163.24/162.99 [2882]~P105(x28821)+P105(x28822)+~E(x28821,x28822)
% 163.24/162.99 [2883]P43(x28832,x28833,x28834,x28835)+~E(x28831,x28832)+~P43(x28831,x28833,x28834,x28835)
% 163.24/162.99 [2884]P43(x28843,x28842,x28844,x28845)+~E(x28841,x28842)+~P43(x28843,x28841,x28844,x28845)
% 163.24/162.99 [2885]P43(x28853,x28854,x28852,x28855)+~E(x28851,x28852)+~P43(x28853,x28854,x28851,x28855)
% 163.24/162.99 [2886]P43(x28863,x28864,x28865,x28862)+~E(x28861,x28862)+~P43(x28863,x28864,x28865,x28861)
% 163.24/162.99 [2887]~P103(x28871)+P103(x28872)+~E(x28871,x28872)
% 163.24/162.99 [2888]~P148(x28881)+P148(x28882)+~E(x28881,x28882)
% 163.24/162.99 [2889]~P132(x28891)+P132(x28892)+~E(x28891,x28892)
% 163.24/162.99 [2890]~P131(x28901)+P131(x28902)+~E(x28901,x28902)
% 163.24/162.99 [2891]~P145(x28911)+P145(x28912)+~E(x28911,x28912)
% 163.24/162.99 [2892]P3(x28922,x28923,x28924)+~E(x28921,x28922)+~P3(x28921,x28923,x28924)
% 163.24/162.99 [2893]P3(x28933,x28932,x28934)+~E(x28931,x28932)+~P3(x28933,x28931,x28934)
% 163.24/162.99 [2894]P3(x28943,x28944,x28942)+~E(x28941,x28942)+~P3(x28943,x28944,x28941)
% 163.24/162.99 [2895]P49(x28952,x28953,x28954)+~E(x28951,x28952)+~P49(x28951,x28953,x28954)
% 163.24/162.99 [2896]P49(x28963,x28962,x28964)+~E(x28961,x28962)+~P49(x28963,x28961,x28964)
% 163.24/162.99 [2897]P49(x28973,x28974,x28972)+~E(x28971,x28972)+~P49(x28973,x28974,x28971)
% 163.24/162.99
% 163.24/162.99 %-------------------------------------------
% 163.28/163.04 cnf(10239,plain,
% 163.28/163.04 (E(f333(f259(x102391,x102391),f260(x102391,x102392)),x102392)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10242,plain,
% 163.28/163.04 (~E(f333(a117,x102421),x102421)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10245,plain,
% 163.28/163.04 (~E(f333(a117,x102451),x102451)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10248,plain,
% 163.28/163.04 (E(f333(f259(x102481,x102481),f260(x102481,x102482)),x102482)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10255,plain,
% 163.28/163.04 (~E(f333(a117,x102551),x102551)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10266,plain,
% 163.28/163.04 (~E(f333(a117,x102661),x102661)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10271,plain,
% 163.28/163.04 (~P24(f333(f64(x102711,x102712,f194(f890(x102711,a874))),x102713))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10274,plain,
% 163.28/163.04 (~P24(f333(f64(x102741,x102742,f194(f890(x102741,a874))),x102743))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10277,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x102771),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10280,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x102801),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10293,plain,
% 163.28/163.04 (~P24(f333(f194(f890(x102931,a874)),x102932))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,3102,3270,10239,3146,3211,3154,3296,4560,10277,4557,4508,4567,3287,4550,4581,10271,4584,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058])).
% 163.28/163.04 cnf(10297,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x102971)),x102971))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(10300,plain,
% 163.28/163.04 (~E(f333(f333(f152(x103001),x103002),x103003),x103003)),
% 163.28/163.04 inference(rename_variables,[],[4512])).
% 163.28/163.04 cnf(10306,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x103061),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10308,plain,
% 163.28/163.04 (E(f46(a880,f333(f259(x103081,x103081),f260(x103081,f333(f333(f82(a880),x103082),x103083))),x103082),f2(a880))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,3102,3270,10239,10248,3146,3211,3177,3154,4512,3296,4560,10277,10280,4557,4508,4569,4567,3287,4550,4581,10271,4584,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085])).
% 163.28/163.04 cnf(10309,plain,
% 163.28/163.04 (E(f333(f259(x103091,x103091),f260(x103091,x103092)),x103092)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10312,plain,
% 163.28/163.04 (E(f333(f259(x103121,x103121),f260(x103121,x103122)),x103122)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10319,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x103191),x103192)),x103192))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(10322,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x103221),x103222)),x103222))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(10326,plain,
% 163.28/163.04 (~E(x103261,f333(a117,x103261))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,3102,3270,10239,10248,10309,3146,3211,3177,3154,4512,3384,3296,4560,10277,10280,4557,4508,4569,4567,3287,4550,4581,10271,4584,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198])).
% 163.28/163.04 cnf(10340,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x103401),x103401))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10343,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f46(a880,x103431,x103432)),x103431))),
% 163.28/163.04 inference(rename_variables,[],[3766])).
% 163.28/163.04 cnf(10366,plain,
% 163.28/163.04 (E(f333(f39(a880),f333(f256(a880),x103661)),x103661)),
% 163.28/163.04 inference(rename_variables,[],[3207])).
% 163.28/163.04 cnf(10374,plain,
% 163.28/163.04 (~E(f333(a117,x103741),x103741)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10377,plain,
% 163.28/163.04 (~E(f333(a117,x103771),x103771)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10380,plain,
% 163.28/163.04 (~E(f333(a117,x103801),x103801)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10382,plain,
% 163.28/163.04 (P24(f333(a200,a102))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,3102,3270,10239,10248,10309,3146,3211,3177,3154,3243,4512,3207,4593,3226,3384,3296,4560,10277,10280,3889,3317,4557,4508,4556,10340,3409,3828,3766,4569,10297,4567,4546,3287,4550,4551,4581,10271,4584,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343])).
% 163.28/163.04 cnf(10385,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x103851),f333(a117,x103851)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10394,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x103941),x103941))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(10401,plain,
% 163.28/163.04 (E(f333(f259(x104011,x104011),f260(x104011,x104012)),x104012)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10404,plain,
% 163.28/163.04 (E(f333(f259(x104041,x104041),f260(x104041,x104042)),x104042)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10423,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x104231),x104231))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(10432,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x104321),x104321))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10437,plain,
% 163.28/163.04 (~E(f333(f333(f333(f73(x104371,f884(x104372)),x104373),x104374),f333(f242(x104372),x104375)),f333(f18(f884(x104372),x104371),f197(x104372)))),
% 163.28/163.04 inference(rename_variables,[],[4578])).
% 163.28/163.04 cnf(10441,plain,
% 163.28/163.04 (E(f333(f333(f81(a880),x104411),f345(x104411,x104411)),x104411)),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,4578,4512,3207,4082,4593,3226,3384,10385,3296,4560,10277,10280,3744,3889,3342,3317,4557,4508,4035,3313,3314,3315,3316,4556,10340,3409,3828,3766,10343,4569,10297,4567,4546,3287,4550,4551,4581,10271,4584,3787,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487])).
% 163.28/163.04 cnf(10464,plain,
% 163.28/163.04 (~E(f333(f333(f152(x104641),x104642),x104643),x104643)),
% 163.28/163.04 inference(rename_variables,[],[4512])).
% 163.28/163.04 cnf(10467,plain,
% 163.28/163.04 (~E(f333(a26,x104671),f34(x104672,x104673))),
% 163.28/163.04 inference(rename_variables,[],[4503])).
% 163.28/163.04 cnf(10478,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x104781),x104781))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(10483,plain,
% 163.28/163.04 (~E(f333(a117,x104831),x104831)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10490,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x104901),x104901))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(10503,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x105031),f333(a117,x105031)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10508,plain,
% 163.28/163.04 (E(f333(f333(f127(x105081),f118(x105081)),x105082),x105082)),
% 163.28/163.04 inference(rename_variables,[],[3265])).
% 163.28/163.04 cnf(10526,plain,
% 163.28/163.04 (~P24(f333(f64(x105261,x105262,f194(f890(x105261,a874))),x105263))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10545,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x105451),x105451))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10557,plain,
% 163.28/163.04 (E(f333(f333(f264(a880),f333(f108(a880),a102)),x105571),f333(f333(f264(a880),f2(a880)),x105571))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,4503,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,4082,4593,3226,3676,3384,10385,10503,3296,4560,10277,10280,10306,4574,3744,3889,3342,3343,3317,4557,4508,4035,3313,10394,3314,3315,10423,3316,4556,10340,10432,3409,3828,3766,10343,4569,10297,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,4584,3787,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846])).
% 163.28/163.04 cnf(10560,plain,
% 163.28/163.04 (~E(f333(a26,x105601),f34(x105602,x105603))),
% 163.28/163.04 inference(rename_variables,[],[4503])).
% 163.28/163.04 cnf(10566,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),f2(a880)),f333(a109,f79(a1))))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,4503,10467,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,4082,4593,3226,3676,3384,10385,10503,3296,4560,10277,10280,10306,4574,3744,3889,3342,3343,3317,4557,4508,4035,3313,10394,3314,3315,10423,3316,4556,10340,10432,3409,3828,3766,10343,4569,10297,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,4584,3787,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906])).
% 163.28/163.04 cnf(10569,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x105691),x105691))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10574,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x105741),f333(a117,x105741)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10577,plain,
% 163.28/163.04 (~P24(f333(f64(x105771,x105772,f194(f890(x105771,a874))),x105773))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10580,plain,
% 163.28/163.04 (~P24(f333(f64(x105801,x105802,f194(f890(x105801,a874))),x105803))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10585,plain,
% 163.28/163.04 (~P24(f333(f64(x105851,x105852,f194(f890(x105851,a874))),x105853))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10595,plain,
% 163.28/163.04 (~E(f333(f170(x105951),f333(a117,f333(f333(f127(x105951),f333(f170(x105951),x105952)),f333(f333(f152(x105951),x105953),f118(x105951))))),f333(f333(f152(x105951),x105953),x105952))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,4082,4593,3226,3676,3384,10385,10503,10574,3296,4560,10277,10280,10306,4574,3744,3889,3342,3343,3317,4557,4508,4035,3313,10394,3314,3315,10423,3316,4556,10340,10432,10545,3409,3828,3766,10343,4569,10297,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4584,3787,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022])).
% 163.28/163.04 cnf(10596,plain,
% 163.28/163.04 (~E(f333(a117,x105961),x105961)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10610,plain,
% 163.28/163.04 (P24(f333(f333(f251(a104),f333(a5,x106101)),f333(a5,f333(a117,x106101))))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,4082,4593,3226,3676,3384,10385,10503,10574,3757,3296,4560,10277,10280,10306,4574,3744,3889,3342,3343,3317,4557,4508,4035,3313,10394,3314,3315,10423,3316,4556,10340,10432,10545,3409,3828,3766,10343,4569,10297,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4584,3787,4582,10319,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102])).
% 163.28/163.04 cnf(10621,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x106211),x106211))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(10624,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x106241),f333(a117,f333(f333(f81(a880),x106242),x106241))))),
% 163.28/163.04 inference(rename_variables,[],[3755])).
% 163.28/163.04 cnf(10626,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x106261),f333(f333(f82(a880),f333(a117,x106261)),f333(a117,x106261))))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,4082,4593,3226,3676,3384,10385,10503,10574,3757,3296,4560,10277,10280,10306,4574,3744,3889,3342,3343,3317,4557,4508,4035,3313,10394,10490,3314,3315,10423,3316,4556,10340,10432,10545,3409,3828,3766,10343,4569,10297,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,3581,4584,3787,4582,10319,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127])).
% 163.28/163.04 cnf(10627,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x106271),f333(f333(f82(a880),x106271),x106271)))),
% 163.28/163.04 inference(rename_variables,[],[3581])).
% 163.28/163.04 cnf(10630,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x106301),f333(f333(f82(a880),x106301),x106301)))),
% 163.28/163.04 inference(rename_variables,[],[3581])).
% 163.28/163.04 cnf(10635,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x106351),f333(a117,x106351)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10638,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x106381),f333(a117,x106381)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10641,plain,
% 163.28/163.04 (P24(f333(f333(f335(x106411),x106412),f258(f890(x106411,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(10658,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x106581),x106582)),x106582))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(10661,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x106611),x106612)),x106612))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(10664,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x106641)),x106641))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(10667,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x106671)),x106671))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(10670,plain,
% 163.28/163.04 (P24(f333(f258(f890(x106701,a874)),x106702))),
% 163.28/163.04 inference(rename_variables,[],[3378])).
% 163.28/163.04 cnf(10673,plain,
% 163.28/163.04 (E(f333(f39(a880),f333(f256(a880),x106731)),x106731)),
% 163.28/163.04 inference(rename_variables,[],[3207])).
% 163.28/163.04 cnf(10676,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x106761),f333(a117,x106761)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10683,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x106831),x106831))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(10688,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x106881),x106881))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(10697,plain,
% 163.28/163.04 (E(f333(f259(x106971,x106971),f260(x106971,x106972)),x106972)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(10700,plain,
% 163.28/163.04 (P24(f333(f258(f890(x107001,a874)),x107002))),
% 163.28/163.04 inference(rename_variables,[],[3378])).
% 163.28/163.04 cnf(10703,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f2(a880)),x107031))),
% 163.28/163.04 inference(rename_variables,[],[3336])).
% 163.28/163.04 cnf(10706,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x107061,a874)),f194(f890(x107061,a874))),x107062))),
% 163.28/163.04 inference(rename_variables,[],[3753])).
% 163.28/163.04 cnf(10709,plain,
% 163.28/163.04 (P24(f333(f258(f890(x107091,a874)),x107092))),
% 163.28/163.04 inference(rename_variables,[],[3378])).
% 163.28/163.04 cnf(10711,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(f333(f82(a880),f333(a117,x107111)),f333(a117,x107111))),x107111))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,10366,4082,4593,3226,3676,3616,3384,10385,10503,10574,10635,10638,3757,3296,4560,10277,10280,10306,4574,3744,3524,3889,3342,3343,3317,4557,4508,4035,3313,10394,10490,10621,3314,3315,10423,10478,3316,4556,10340,10432,10545,3471,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,3336,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,4584,3787,4582,10319,10322,10658,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335])).
% 163.28/163.04 cnf(10712,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x107121),f333(f333(f82(a880),x107121),x107121)))),
% 163.28/163.04 inference(rename_variables,[],[3581])).
% 163.28/163.04 cnf(10716,plain,
% 163.28/163.04 (E(f333(f170(x107161),f245(x107162,x107163,f333(f333(f127(x107161),f333(f170(x107161),x107164)),f333(f333(f152(x107161),x107165),f118(x107161))),x107166,f197(x107163))),f333(f333(f152(x107161),x107165),x107164))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,10366,4082,4593,3226,3676,3616,3384,10385,10503,10574,10635,10638,3757,3296,4560,10277,10280,10306,4574,3744,3524,3889,3342,3343,3317,4557,4508,4035,3313,10394,10490,10621,3314,3315,10423,10478,3316,4556,10340,10432,10545,3471,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,3336,4567,4546,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,4584,3787,4582,10319,10322,10658,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374])).
% 163.28/163.04 cnf(10729,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,f333(a117,f333(f333(f81(a880),x107291),x107292)))),f333(a117,x107292)))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,10366,4082,4593,3226,3676,3616,3384,10385,10503,10574,10635,10638,10676,3757,3296,4560,10277,10280,10306,4574,3744,3524,3889,3342,3343,3317,4557,4508,4035,3313,10394,10490,10621,3314,3315,10423,10478,3316,4556,10340,10432,10545,3471,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,3336,4567,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,4584,3787,4582,10319,10322,10658,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383])).
% 163.28/163.04 cnf(10752,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x107521),x107521))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10763,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x107631,f890(x107632,a874))),x107633),x107634))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(10770,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x107701),f333(a117,x107701)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(10772,plain,
% 163.28/163.04 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x107721),f79(a1))),x107721))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3676,3616,3384,10385,10503,10574,10635,10638,10676,3757,3296,4560,10277,10280,10306,4574,3744,3524,3889,3342,3343,3317,4557,4508,4035,3313,10394,10490,10621,3314,10752,3315,10423,10478,10688,3316,4556,10340,10432,10545,3471,4572,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,4567,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,4584,4585,3787,4582,10319,10322,10658,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634])).
% 163.28/163.04 cnf(10773,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x107731),x107731))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(10778,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x107781),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10791,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x107911),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10794,plain,
% 163.28/163.04 (~P24(f333(f333(f251(f890(x107941,a874)),x107942),f194(f890(x107941,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4579])).
% 163.28/163.04 cnf(10797,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x107971),x107971))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10800,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x108001),x108001))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10814,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x108141),f333(f333(f3(a880),x108141),x108142)))),
% 163.28/163.04 inference(scs_inference,[],[4488,10242,10245,10255,10266,10374,10377,10380,10483,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3676,3616,3384,10385,10503,10574,10635,10638,10676,3757,3296,4560,10277,10280,10306,10778,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,3315,10423,10478,10688,3316,4556,10340,10432,10545,10569,3471,4572,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,4567,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,4584,4585,3787,4582,10319,10322,10658,3755,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791])).
% 163.28/163.04 cnf(10815,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x108151),x108151))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10824,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x108241),x108242),f194(f890(x108241,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(10833,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x108331),x108331))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10836,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x108361),x108362),f194(f890(x108361,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(10839,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x108391,a874)),f333(f312(x108392,x108391,x108393),f333(f313(x108392,x108391,x108393),x108394))),x108394))),
% 163.28/163.04 inference(rename_variables,[],[4181])).
% 163.28/163.04 cnf(10846,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x108461,a874)),f333(f173(x108461),f333(f137(x108461,x108462),x108463))),f333(f173(x108461),x108463)))),
% 163.28/163.04 inference(rename_variables,[],[3951])).
% 163.28/163.04 cnf(10849,plain,
% 163.28/163.04 (E(f333(f312(x108491,x108491,f7(x108491)),x108492),x108492)),
% 163.28/163.04 inference(rename_variables,[],[3376])).
% 163.28/163.04 cnf(10856,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f2(a880)),x108561))),
% 163.28/163.04 inference(rename_variables,[],[3336])).
% 163.28/163.04 cnf(10859,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x108591),x108591))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10862,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x108621),x108621))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10865,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x108651,f890(x108652,a874))),x108653),x108654))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(10872,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x108721),x108721))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(10883,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x108831),f333(a117,f333(f333(f81(a880),x108832),x108831))))),
% 163.28/163.04 inference(rename_variables,[],[3755])).
% 163.28/163.04 cnf(10886,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x108861),f333(f333(f82(a880),x108861),x108861)))),
% 163.28/163.04 inference(rename_variables,[],[3581])).
% 163.28/163.04 cnf(10896,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x108961),x108961))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10899,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x108991),x108991))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(10902,plain,
% 163.28/163.04 (~E(f333(a117,x109021),x109021)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(10907,plain,
% 163.28/163.04 (P24(f333(f333(f335(x109071),x109072),f258(f890(x109071,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(10912,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x109121),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(10914,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x109141,a874)),x109142),f41(f890(x109141,a874),f333(f310(x109141),x109142))))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,4572,10824,10836,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,4567,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484])).
% 163.28/163.04 cnf(10927,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f2(a880)),x109271))),
% 163.28/163.04 inference(rename_variables,[],[3336])).
% 163.28/163.04 cnf(10934,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x109341),x109341))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10943,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x109431),x109432),f194(f890(x109431,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(10947,plain,
% 163.28/163.04 (E(f333(f333(f106(f890(x109471,a874)),f333(f333(f106(f890(x109471,a874)),x109472),f333(f80(f890(x109471,a874)),x109473))),x109473),f194(f890(x109471,a874)))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,4572,10824,10836,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757])).
% 163.28/163.04 cnf(10951,plain,
% 163.28/163.04 (P24(f333(f333(f335(x109511),x109512),f258(f890(x109511,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(10954,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x109541),f881(x109541))),f333(f333(f263(f881(x109541),f881(x109541)),x109542),f118(x109541))),f146(x109541,x109543)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(10960,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(x109601,x109601)),x109602),f260(x109601,f194(f890(x109601,a874)))))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,4572,10824,10836,10943,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895])).
% 163.28/163.04 cnf(10961,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x109611),x109612),f194(f890(x109611,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(10963,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x109631),x109632),f333(f313(x109631,x109633,x109634),f194(f890(x109633,a874)))))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,4572,10824,10836,10943,10961,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925])).
% 163.28/163.04 cnf(10964,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x109641),x109642),f194(f890(x109641,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(10967,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x109671,a874)),x109672),f333(f333(f311(x109671),x109673),x109672)))),
% 163.28/163.04 inference(rename_variables,[],[3751])).
% 163.28/163.04 cnf(10970,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x109701),x109701))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(10973,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x109731,a874)),x109732),f333(f333(f311(x109731),x109733),x109732)))),
% 163.28/163.04 inference(rename_variables,[],[3751])).
% 163.28/163.04 cnf(10975,plain,
% 163.28/163.04 (P37(x109751,x109752,x109753,f119(x109751,f118(x109751)),f118(x109752))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3156,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,4572,10824,10836,10943,10961,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,4592,3751,10967,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034])).
% 163.28/163.04 cnf(10988,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x109881,a874)),x109882),f333(f333(f311(x109881),x109883),x109882)))),
% 163.28/163.04 inference(rename_variables,[],[3751])).
% 163.28/163.04 cnf(10993,plain,
% 163.28/163.04 (~P24(f333(f64(x109931,x109932,f194(f890(x109931,a874))),x109933))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(10997,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),f333(a117,x109971)),x109971)),f309(a880,a323)))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,4503,10467,3102,3156,3270,10239,10248,10309,10312,10401,10404,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,4512,10300,3207,10366,4082,3942,4593,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,3677,4035,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358])).
% 163.28/163.04 cnf(11006,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x110061),f333(a117,x110061)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(11013,plain,
% 163.28/163.04 (E(f333(f74(x110131,x110132,x110131,x110133),f35(x110131)),x110133)),
% 163.28/163.04 inference(rename_variables,[],[3769])).
% 163.28/163.04 cnf(11016,plain,
% 163.28/163.04 (~E(f333(f312(x110161,f890(x110161,a874),x110162),x110163),f333(f310(x110161),x110163))),
% 163.28/163.04 inference(rename_variables,[],[4570])).
% 163.28/163.04 cnf(11019,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x110191),x110192),f194(f890(x110191,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11022,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(x110221,x110221)),f333(f333(f263(x110221,x110221),x110222),x110222)),f309(x110221,x110223)))),
% 163.28/163.04 inference(rename_variables,[],[3942])).
% 163.28/163.04 cnf(11025,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x110251,a874)),x110252),f258(f890(x110251,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3694])).
% 163.28/163.04 cnf(11028,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x110281,a874)),f333(f173(x110281),f171(x110281,x110282,x110283))),f333(f173(x110281),x110283)))),
% 163.28/163.04 inference(rename_variables,[],[4001])).
% 163.28/163.04 cnf(11044,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x110441,a874)),f194(f890(x110441,a874))),x110442))),
% 163.28/163.04 inference(rename_variables,[],[3753])).
% 163.28/163.04 cnf(11055,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x110551),f881(x110551))),f333(f333(f263(f881(x110551),f881(x110551)),x110552),f118(x110551))),f148(x110551,x110553)))),
% 163.28/163.04 inference(rename_variables,[],[4594])).
% 163.28/163.04 cnf(11066,plain,
% 163.28/163.04 (~E(f333(a117,x110661),x110661)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11069,plain,
% 163.28/163.04 (~E(f333(a117,x110691),x110691)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11071,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(f881(x110711),f881(x110711))),f333(f333(f263(f881(x110711),f881(x110711)),f118(x110711)),f118(x110711))),f333(f333(f290(f881(x110711),f881(x110711),f881(x110711)),f159(x110711,x110712)),f309(f881(x110711),f159(x110711,x110712)))))),
% 163.28/163.04 inference(scs_inference,[],[4588,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,3939,4512,10300,4570,3207,10366,4082,3942,11022,4593,10954,4594,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592])).
% 163.28/163.04 cnf(11081,plain,
% 163.28/163.04 (P21(x110811,x110811,f7(x110811),x110812)),
% 163.28/163.04 inference(rename_variables,[],[3552])).
% 163.28/163.04 cnf(11086,plain,
% 163.28/163.04 (~E(f333(f312(x110861,f890(x110861,a874),x110862),x110863),f333(f310(x110861),x110863))),
% 163.28/163.04 inference(rename_variables,[],[4570])).
% 163.28/163.04 cnf(11091,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x110911,a874)),x110912),f258(f890(x110911,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3694])).
% 163.28/163.04 cnf(11105,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111051),x111052),f194(f890(x111051,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11108,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x111081)),x111081))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11113,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111131),x111132),f194(f890(x111131,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11125,plain,
% 163.28/163.04 (~P24(f333(f333(f335(a880),f333(a117,f333(f143(a880,a880,f81(a880),f2(a880)),x111251))),f333(f173(a880),x111251)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,4594,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803])).
% 163.28/163.04 cnf(11126,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x111261)),x111261))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11129,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111291),x111292),f194(f890(x111291,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11137,plain,
% 163.28/163.04 (E(f333(f137(x111371,f258(f890(x111372,a874))),f748(x111373,x111374,f333(f333(f152(x111371),x111374),x111373),f258(f890(x111372,a874)),x111371)),x111373)),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,4594,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879])).
% 163.28/163.04 cnf(11139,plain,
% 163.28/163.04 (E(f333(x111391,f557(f333(x111391,x111392),f333(f242(x111393),x111392),x111391,x111394,x111393)),f333(x111391,x111392))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,4594,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,4579,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881])).
% 163.28/163.04 cnf(11148,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(x111481,x111481)),f333(f333(f263(x111481,x111481),x111482),x111482)),f309(x111481,x111483)))),
% 163.28/163.04 inference(rename_variables,[],[3942])).
% 163.28/163.04 cnf(11153,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x111531),f881(x111531))),f333(f333(f263(f881(x111531),f881(x111531)),x111532),f118(x111531))),f146(x111531,x111533)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(11156,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x111561),f881(x111561))),f333(f333(f263(f881(x111561),f881(x111561)),x111562),f118(x111561))),f148(x111561,x111563)))),
% 163.28/163.04 inference(rename_variables,[],[4594])).
% 163.28/163.04 cnf(11159,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x111591),f881(x111591))),f333(f333(f263(f881(x111591),f881(x111591)),x111592),f118(x111591))),f158(x111591,x111593)))),
% 163.28/163.04 inference(rename_variables,[],[4595])).
% 163.28/163.04 cnf(11164,plain,
% 163.28/163.04 (~P24(f333(f333(f251(f890(x111641,a874)),x111642),f194(f890(x111641,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4579])).
% 163.28/163.04 cnf(11166,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111661),x111662),f333(f312(x111663,x111661,x111664),f194(f890(x111663,a874)))))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,11153,4594,11055,4595,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,4579,10794,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042])).
% 163.28/163.04 cnf(11167,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111671),x111672),f194(f890(x111671,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11171,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x111711,a874)),x111712),f333(f333(f115(f890(x111711,a874)),x111713),f258(f890(x111711,a874)))))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,11153,4594,11055,4595,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,4579,10794,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3753,10706,3581,10627,10630,10712,10886,4584,4585,10763,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064])).
% 163.28/163.04 cnf(11172,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x111721,a874)),x111722),f258(f890(x111721,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3694])).
% 163.28/163.04 cnf(11175,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x111751,f890(x111752,a874))),x111753),x111754))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(11184,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111841),x111842),f194(f890(x111841,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11187,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(x111871,x111871)),f333(f333(f263(x111871,x111871),x111872),x111873)),f154(x111871,f118(f890(x111871,a880)))))),
% 163.28/163.04 inference(rename_variables,[],[4592])).
% 163.28/163.04 cnf(11190,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x111901,a874)),x111902),x111902))),
% 163.28/163.04 inference(rename_variables,[],[3612])).
% 163.28/163.04 cnf(11193,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x111931),x111932),f194(f890(x111931,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11195,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x111951,a874)),f333(f287(x111952,x111951,f194(f890(f889(x111952,x111951),a874))),x111953)),x111954))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,4593,10954,11153,4594,11055,4595,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,4579,10794,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244])).
% 163.28/163.04 cnf(11196,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x111961,a874)),f194(f890(x111961,a874))),x111962))),
% 163.28/163.04 inference(rename_variables,[],[3753])).
% 163.28/163.04 cnf(11199,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(x111991,x111991)),f333(f333(f263(x111991,x111991),x111992),x111992)),f309(x111991,x111993)))),
% 163.28/163.04 inference(rename_variables,[],[3942])).
% 163.28/163.04 cnf(11201,plain,
% 163.28/163.04 (~P37(x112011,x112012,x112013,f333(f333(f155(x112014,x112011),x112015),f333(a117,f118(x112014))),f118(x112012))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,4594,11055,4595,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,4579,10794,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253])).
% 163.28/163.04 cnf(11205,plain,
% 163.28/163.04 (P37(x112051,x112052,x112053,f333(f333(f155(x112054,x112051),x112055),f119(x112054,f118(x112054))),f118(x112052))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,4594,11055,4595,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,4579,10794,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279])).
% 163.28/163.04 cnf(11210,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x112101),f881(x112101))),f333(f333(f263(f881(x112101),f881(x112101)),x112102),f118(x112101))),f158(x112101,x112103)))),
% 163.28/163.04 inference(rename_variables,[],[4595])).
% 163.28/163.04 cnf(11213,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x112131),f881(x112131))),f333(f333(f263(f881(x112131),f881(x112131)),f118(x112131)),x112132)),f146(x112131,x112133)))),
% 163.28/163.04 inference(rename_variables,[],[4596])).
% 163.28/163.04 cnf(11218,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f890(x112181,a874),f890(x112181,a874))),f333(f333(f263(f890(x112181,a874),f890(x112181,a874)),x112182),f194(f890(x112181,a874)))),f308(x112181)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,4594,11055,4595,11159,4596,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404])).
% 163.28/163.04 cnf(11221,plain,
% 163.28/163.04 (P24(f333(f333(f335(x112211),x112212),f258(f890(x112211,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(11226,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x112261,a874)),f194(f890(x112261,a874))),x112262))),
% 163.28/163.04 inference(rename_variables,[],[3753])).
% 163.28/163.04 cnf(11229,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112291),x112292),f194(f890(x112291,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11232,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x112321,a874)),x112322),f258(f890(x112321,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3694])).
% 163.28/163.04 cnf(11236,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x112361,a874)),f333(f287(x112362,x112361,x112363),f194(f890(x112362,a874)))),x112364))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,4594,11055,4595,11159,4596,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522])).
% 163.28/163.04 cnf(11237,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x112371,a874)),f194(f890(x112371,a874))),x112372))),
% 163.28/163.04 inference(rename_variables,[],[3753])).
% 163.28/163.04 cnf(11239,plain,
% 163.28/163.04 (~P24(f333(f68(a880,x112391,x112392,x112393,f258(f890(a880,a874))),x112394))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,4594,11055,4595,11159,4596,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,3378,10670,10700,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544])).
% 163.28/163.04 cnf(11250,plain,
% 163.28/163.04 (P24(f333(f258(f890(x112501,a874)),x112502))),
% 163.28/163.04 inference(rename_variables,[],[3378])).
% 163.28/163.04 cnf(11258,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x112581),f881(x112581))),f333(f333(f263(f881(x112581),f881(x112581)),x112582),f118(x112581))),f146(x112581,x112583)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(11261,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x112611),f881(x112611))),f333(f333(f263(f881(x112611),f881(x112611)),x112612),f118(x112611))),f148(x112611,x112613)))),
% 163.28/163.04 inference(rename_variables,[],[4594])).
% 163.28/163.04 cnf(11264,plain,
% 163.28/163.04 (~E(f333(f333(f152(x112641),x112642),x112643),x112643)),
% 163.28/163.04 inference(rename_variables,[],[4512])).
% 163.28/163.04 cnf(11267,plain,
% 163.28/163.04 (~E(f333(a117,x112671),x112671)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11270,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112701),x112702),f194(f890(x112701,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11275,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(f881(x112751),f881(x112751))),f333(f333(f263(f881(x112751),f881(x112751)),x112752),x112752)),f159(x112751,f309(x112751,x112753))))),
% 163.28/163.04 inference(rename_variables,[],[4076])).
% 163.28/163.04 cnf(11280,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x112801),f881(x112801))),f333(f333(f263(f881(x112801),f881(x112801)),x112802),f118(x112801))),f146(x112801,x112803)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(11284,plain,
% 163.28/163.04 (E(f333(f333(f152(x112841),f597(f309(x112841,x112842),f333(f333(f152(x112841),x112843),x112844),x112844,x112843,x112841)),f598(f309(x112841,x112842),f333(f333(f152(x112841),x112843),x112844),x112844,x112843,x112841)),f333(f333(f152(x112841),x112843),x112844))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,11258,4594,11055,11156,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4076,11275,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,3378,10670,10700,10709,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725])).
% 163.28/163.04 cnf(11289,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112891),x112892),f186(x112893,x112891,f188(x112893,x112891,x112894,f194(f890(x112893,a874))))))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,11258,4594,11055,11156,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4076,11275,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,3378,10670,10700,10709,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753])).
% 163.28/163.04 cnf(11290,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112901),x112902),f194(f890(x112901,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11293,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112931),x112932),f194(f890(x112931,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11296,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x112961),x112962),f194(f890(x112961,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11299,plain,
% 163.28/163.04 (P24(f333(f333(f335(x112991),x112992),f258(f890(x112991,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(11304,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(x113041,x113041)),f333(f333(f263(x113041,x113041),x113042),x113043)),f154(x113041,f118(f890(x113041,a880)))))),
% 163.28/163.04 inference(rename_variables,[],[4592])).
% 163.28/163.04 cnf(11307,plain,
% 163.28/163.04 (~E(f333(f312(x113071,f890(x113071,a874),x113072),x113073),f333(f310(x113071),x113073))),
% 163.28/163.04 inference(rename_variables,[],[4570])).
% 163.28/163.04 cnf(11310,plain,
% 163.28/163.04 (~E(f333(f312(x113101,f890(x113101,a874),x113102),x113103),f333(f310(x113101),x113103))),
% 163.28/163.04 inference(rename_variables,[],[4570])).
% 163.28/163.04 cnf(11312,plain,
% 163.28/163.04 (E(f333(f333(f263(a880,a880),f806(f309(a880,a323),a323,a880,f333(f333(f263(a880,a880),x113121),f333(a117,x113121)),a880,a880)),f808(f309(a880,a323),a323,a880,f333(f333(f263(a880,a880),x113121),f333(a117,x113121)),a880,a880)),f333(f333(f263(a880,a880),x113121),f333(a117,x113121)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,11086,11307,3420,3207,10366,4082,3942,11022,11148,4593,10954,11153,11258,4594,11055,11156,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4076,11275,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,11221,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,3378,10670,10700,10709,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,11187,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920])).
% 163.28/163.04 cnf(11315,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x113151),f881(x113151))),f333(f333(f263(f881(x113151),f881(x113151)),x113152),f118(x113151))),f146(x113151,x113153)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(11321,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(f881(x113211),f881(x113211))),f333(f333(f263(f881(x113211),f881(x113211)),x113212),f118(x113211))),f146(x113211,x113213)))),
% 163.28/163.04 inference(rename_variables,[],[4593])).
% 163.28/163.04 cnf(11324,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x113241),x113242),f194(f890(x113241,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11327,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x113271,f890(x113272,a874))),x113273),x113274))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(11330,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x113301),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(11334,plain,
% 163.28/163.04 (P24(f333(f333(f335(f889(x113341,x113342)),f333(f333(f263(x113341,x113342),f333(x113343,x113344)),f333(x113345,x113344))),f333(f312(f889(x113346,x113346),f889(x113341,x113342),f273(x113346,x113341,x113346,x113342,x113343,x113345)),f309(x113346,x113347))))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,4503,10467,10560,3102,3156,3270,10239,10248,10309,10312,10401,10404,3769,3146,3966,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,11086,11307,3420,3207,10366,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,4574,3744,3524,3889,3342,3343,3317,4557,4508,4076,11275,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,11221,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,3378,10670,10700,10709,3409,3828,3766,10343,4569,10297,10664,10667,11108,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4581,10271,10274,10526,10577,10580,10585,4592,11187,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,11175,4181,4088,3787,4582,10319,10322,10658,3755,10624,4020,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037])).
% 163.28/163.04 cnf(11337,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x113371),x113372),f194(f890(x113371,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11340,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x113401),x113402),f194(f890(x113401,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11343,plain,
% 163.28/163.04 (P24(f333(f333(f335(x113431),f333(x113432,x113433)),f333(f312(x113434,x113431,x113432),f258(f890(x113434,a874)))))),
% 163.28/163.04 inference(rename_variables,[],[3906])).
% 163.28/163.04 cnf(11346,plain,
% 163.28/163.04 (~P24(f333(f333(f335(f889(x113461,x113461)),f333(f333(f263(x113461,x113461),x113462),x113463)),f154(x113461,f118(f890(x113461,a880)))))),
% 163.28/163.04 inference(rename_variables,[],[4592])).
% 163.28/163.04 cnf(11354,plain,
% 163.28/163.04 (E(f119(x113541,f118(x113541)),f118(x113541))),
% 163.28/163.04 inference(rename_variables,[],[3156])).
% 163.28/163.04 cnf(11357,plain,
% 163.28/163.04 (~E(f333(a117,x113571),x113571)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11364,plain,
% 163.28/163.04 (~E(f333(a117,x113641),x113641)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11369,plain,
% 163.28/163.04 (E(f333(f259(x113691,x113691),f260(x113691,x113692)),x113692)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11372,plain,
% 163.28/163.04 (E(f333(f259(x113721,x113721),f260(x113721,x113722)),x113722)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11378,plain,
% 163.28/163.04 (~E(f333(a117,x113781),x113781)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11394,plain,
% 163.28/163.04 (E(f333(f333(f3(a880),f2(a880)),x113941),f2(a880))),
% 163.28/163.04 inference(rename_variables,[],[3227])).
% 163.28/163.04 cnf(11397,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x113971),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(11404,plain,
% 163.28/163.04 (E(f333(f333(f81(a1),f333(f333(f82(a1),x114041),f333(f333(f40(a1),x114042),x114041))),f46(a1,x114042,x114041)),x114042)),
% 163.28/163.04 inference(rename_variables,[],[3857])).
% 163.28/163.04 cnf(11428,plain,
% 163.28/163.04 (~E(f333(a117,x114281),x114281)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11431,plain,
% 163.28/163.04 (~E(f333(a117,x114311),x114311)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11457,plain,
% 163.28/163.04 (~P24(f333(f64(x114571,x114572,f194(f890(x114571,a874))),x114573))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(11460,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x114601,f890(x114602,a874))),x114603),x114604))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(11463,plain,
% 163.28/163.04 (P24(f333(f333(f335(x114631),x114632),f258(f890(x114631,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(11475,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x114751),x114751))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11482,plain,
% 163.28/163.04 (P24(f333(f68(x114821,x114822,x114823,x114824,f194(f890(x114821,a874))),x114824))),
% 163.28/163.04 inference(rename_variables,[],[4227])).
% 163.28/163.04 cnf(11483,plain,
% 163.28/163.04 (E(f333(f259(x114831,x114831),f260(x114831,x114832)),x114832)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11488,plain,
% 163.28/163.04 (~P24(f333(f333(f194(f890(x114881,f890(x114882,a874))),x114883),x114884))),
% 163.28/163.04 inference(rename_variables,[],[4585])).
% 163.28/163.04 cnf(11499,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x114991),x114992)),x114992))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(11502,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a1),f333(f105(a1),x115021)),f2(a1)))),
% 163.28/163.04 inference(rename_variables,[],[4574])).
% 163.28/163.04 cnf(11518,plain,
% 163.28/163.04 (~E(f333(f333(f106(a880),f333(a117,x115181)),x115181),f333(a117,x115181))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,4503,10467,10560,3231,2907,2913,2920,2926,2928,2931,2934,2944,2953,2954,2962,2968,2970,2974,2975,2984,3005,3028,3054,3055,3059,3078,3085,3102,4484,3156,11354,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,3769,3146,3966,3857,11404,3211,3177,3154,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,11330,11397,4574,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,11221,11299,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,3378,10670,10700,10709,3409,3828,3766,10343,4569,10297,10664,10667,11108,11126,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,4227,4581,10271,10274,10526,10577,10580,10585,10993,4592,11187,11304,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,11175,11327,11460,4181,4088,3787,4582,10319,10322,10658,10661,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389])).
% 163.28/163.04 cnf(11525,plain,
% 163.28/163.04 (E(f333(f259(x115251,x115251),f260(x115251,x115252)),x115252)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11530,plain,
% 163.28/163.04 (E(f333(f259(x115301,x115301),f260(x115301,x115302)),x115302)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11533,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a1),f333(f105(a1),x115331)),f2(a1)))),
% 163.28/163.04 inference(rename_variables,[],[4574])).
% 163.28/163.04 cnf(11538,plain,
% 163.28/163.04 (~E(f333(a117,x115381),x115381)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11542,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),f2(a1)),a84))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,4503,10467,10560,3231,2907,2913,2920,2926,2928,2931,2934,2944,2953,2954,2962,2968,2970,2971,2974,2975,2984,3005,3028,3054,3055,3059,3078,3085,3102,4484,3156,11354,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,3769,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,3296,4560,10277,10280,10306,10778,10791,10912,11330,11397,4574,11502,11533,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,3316,4556,10340,10432,10545,10569,10815,10862,3471,10641,10907,10951,11221,11299,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,3378,10670,10700,10709,3415,3409,3828,3766,10343,4569,10297,10664,10667,11108,11126,3336,10703,10856,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,4227,4581,10271,10274,10526,10577,10580,10585,10993,4592,11187,11304,3906,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,4585,10763,10865,11175,11327,11460,4181,4088,3787,4582,10319,10322,10658,10661,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481])).
% 163.28/163.04 cnf(11547,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x115471),x115471))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11568,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a1),f333(f105(a1),x115681)),f2(a1)))),
% 163.28/163.04 inference(rename_variables,[],[4574])).
% 163.28/163.04 cnf(11581,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x115811),x115811))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11584,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x115841)),x115841))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11585,plain,
% 163.28/163.04 (~E(f333(a117,x115851),x115851)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11595,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x115951),x115952)),x115951))),
% 163.28/163.04 inference(rename_variables,[],[4583])).
% 163.28/163.04 cnf(11598,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a1),f333(f105(a1),x115981)),f2(a1)))),
% 163.28/163.04 inference(rename_variables,[],[4574])).
% 163.28/163.04 cnf(11601,plain,
% 163.28/163.04 (~E(f333(a117,x116011),x116011)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11614,plain,
% 163.28/163.04 (P24(f333(f333(f335(x116141),x116142),f333(f333(f311(x116141),x116142),x116143)))),
% 163.28/163.04 inference(rename_variables,[],[3625])).
% 163.28/163.04 cnf(11615,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a1),f2(a1)),f333(f80(a1),f333(f105(a1),f333(a117,x116151)))))),
% 163.28/163.04 inference(rename_variables,[],[4584])).
% 163.28/163.04 cnf(11618,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),f333(f333(f3(a880),x116181),x116182)),f333(a117,x116181)))),
% 163.28/163.04 inference(rename_variables,[],[3757])).
% 163.28/163.04 cnf(11621,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f46(a880,x116211,x116212)),x116211))),
% 163.28/163.04 inference(rename_variables,[],[3766])).
% 163.28/163.04 cnf(11627,plain,
% 163.28/163.04 (E(f333(f333(f127(x116271),x116272),f118(x116271)),x116272)),
% 163.28/163.04 inference(rename_variables,[],[3244])).
% 163.28/163.04 cnf(11630,plain,
% 163.28/163.04 (E(f333(f259(x116301,x116301),f260(x116301,x116302)),x116302)),
% 163.28/163.04 inference(rename_variables,[],[3270])).
% 163.28/163.04 cnf(11633,plain,
% 163.28/163.04 (E(f333(f74(x116331,x116332,x116331,x116333),f35(x116331)),x116333)),
% 163.28/163.04 inference(rename_variables,[],[3769])).
% 163.28/163.04 cnf(11639,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x116391)),x116391))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11648,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x116481),x116481))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11651,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f46(a880,x116511,x116512)),x116511))),
% 163.28/163.04 inference(rename_variables,[],[3766])).
% 163.28/163.04 cnf(11652,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f2(a880)),x116521))),
% 163.28/163.04 inference(rename_variables,[],[3336])).
% 163.28/163.04 cnf(11669,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x116691),x116691))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11672,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x116721),x116721))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11675,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x116751),x116751))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11678,plain,
% 163.28/163.04 (P24(f333(f333(f335(x116781),f333(x116782,x116783)),f333(f312(x116784,x116781,x116782),f258(f890(x116784,a874)))))),
% 163.28/163.04 inference(rename_variables,[],[3906])).
% 163.28/163.04 cnf(11679,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x116791),x116792)),x116792))),
% 163.28/163.04 inference(rename_variables,[],[4582])).
% 163.28/163.04 cnf(11682,plain,
% 163.28/163.04 (P24(f333(f333(f335(x116821),f333(x116822,x116823)),f333(f312(x116824,x116821,x116822),f258(f890(x116824,a874)))))),
% 163.28/163.04 inference(rename_variables,[],[3906])).
% 163.28/163.04 cnf(11683,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x116831)),x116831))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11688,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x116881),x116882)),x116881))),
% 163.28/163.04 inference(rename_variables,[],[4583])).
% 163.28/163.04 cnf(11691,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x116911),x116911))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11694,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x116941),x116941))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11700,plain,
% 163.28/163.04 (~P38(x117001,x117002,f118(x117001))),
% 163.28/163.04 inference(rename_variables,[],[4523])).
% 163.28/163.04 cnf(11703,plain,
% 163.28/163.04 (P24(f333(f333(f335(x117031),x117032),f258(f890(x117031,a874))))),
% 163.28/163.04 inference(rename_variables,[],[3471])).
% 163.28/163.04 cnf(11704,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x117041)),x117041))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11707,plain,
% 163.28/163.04 (~P24(f333(f64(x117071,x117072,f194(f890(x117071,a874))),x117073))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(11720,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x117201),x117202),f194(f890(x117201,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11723,plain,
% 163.28/163.04 (E(f333(f333(f18(x117231,x117232),x117233),x117234),x117233)),
% 163.28/163.04 inference(rename_variables,[],[3303])).
% 163.28/163.04 cnf(11726,plain,
% 163.28/163.04 (E(f333(f333(f18(x117261,x117262),x117263),x117264),x117263)),
% 163.28/163.04 inference(rename_variables,[],[3303])).
% 163.28/163.04 cnf(11738,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),f2(a880)),f333(a117,x117381)))),
% 163.28/163.04 inference(rename_variables,[],[3396])).
% 163.28/163.04 cnf(11741,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x117411),x117411))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11744,plain,
% 163.28/163.04 (P24(f333(f333(f335(x117441),f333(x117442,x117443)),f333(f312(x117444,x117441,x117442),f258(f890(x117444,a874)))))),
% 163.28/163.04 inference(rename_variables,[],[3906])).
% 163.28/163.04 cnf(11747,plain,
% 163.28/163.04 (P24(f333(f63(x117471),f333(f173(x117471),x117472)))),
% 163.28/163.04 inference(rename_variables,[],[3356])).
% 163.28/163.04 cnf(11750,plain,
% 163.28/163.04 (P24(f333(f63(x117501),f333(f173(x117501),x117502)))),
% 163.28/163.04 inference(rename_variables,[],[3356])).
% 163.28/163.04 cnf(11753,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),f333(f80(a1),f333(f105(a1),x117531))),f333(f105(a1),x117532)))),
% 163.28/163.04 inference(rename_variables,[],[3788])).
% 163.28/163.04 cnf(11756,plain,
% 163.28/163.04 (~P24(f333(f333(f335(x117561),x117562),f194(f890(x117561,a874))))),
% 163.28/163.04 inference(rename_variables,[],[4572])).
% 163.28/163.04 cnf(11766,plain,
% 163.28/163.04 (~P24(f333(f333(f335(a880),f2(a880)),f333(f305(a880),x117661)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,4503,10467,10560,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2967,2968,2970,2971,2974,2975,2978,2984,3005,3028,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,4574,11502,11533,11568,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,3415,3409,3828,3766,10343,11621,4569,10297,10664,10667,11108,11126,11584,11639,11683,3336,10703,10856,10927,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158])).
% 163.28/163.04 cnf(11768,plain,
% 163.28/163.04 (~P24(f333(f333(f335(a880),x117681),f333(f256(a880),f2(a880))))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,4503,10467,10560,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2967,2968,2970,2971,2974,2975,2978,2984,3005,3028,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,4574,11502,11533,11568,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,3415,3409,3828,3766,10343,11621,4569,10297,10664,10667,11108,11126,11584,11639,11683,3336,10703,10856,10927,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159])).
% 163.28/163.04 cnf(11775,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x117751),x117751))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11778,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x117781),x117781))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11787,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x117871),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(11790,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x117901),x117901))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11795,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x117951),f2(a880)))),
% 163.28/163.04 inference(rename_variables,[],[4560])).
% 163.28/163.04 cnf(11802,plain,
% 163.28/163.04 (P24(f333(f258(f890(x118021,a874)),x118022))),
% 163.28/163.04 inference(rename_variables,[],[3378])).
% 163.28/163.04 cnf(11807,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),f2(a880)),x118071))),
% 163.28/163.04 inference(rename_variables,[],[3336])).
% 163.28/163.04 cnf(11808,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x118081)),x118081))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11811,plain,
% 163.28/163.04 (~P24(f333(f64(x118111,x118112,f194(f890(x118111,a874))),x118113))),
% 163.28/163.04 inference(rename_variables,[],[4581])).
% 163.28/163.04 cnf(11828,plain,
% 163.28/163.04 (P24(f333(f333(f251(a1),f333(f80(a1),f79(a1))),f2(a1)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,4503,10467,10560,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,11581,11778,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,3336,10703,10856,10927,11652,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461])).
% 163.28/163.04 cnf(11833,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x118331),x118331))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11836,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x118361),x118361))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11839,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x118391),x118391))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11842,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x118421),x118421))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11845,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x118451)),x118451))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11848,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x118481)),x118481))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11851,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x118511)),x118511))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11854,plain,
% 163.28/163.04 (~P24(f333(f333(f250(a880),f333(a117,x118541)),x118541))),
% 163.28/163.04 inference(rename_variables,[],[4569])).
% 163.28/163.04 cnf(11870,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),f333(f333(f3(a880),x118701),f333(a117,x118701))),f2(a880)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,4503,10467,10560,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,11581,11778,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,3336,10703,10856,10927,11652,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534])).
% 163.28/163.04 cnf(11871,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x118711),x118711))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11876,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x118761),f333(f76(a1),x118761)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,11581,11778,11790,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,3336,10703,10856,10927,11652,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554])).
% 163.28/163.04 cnf(11877,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x118771),x118771))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11888,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x118881),x118881))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11891,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(f889(f881(x118911),f881(x118911)),a874)),f159(x118911,x118912)),f309(f881(x118911),f158(x118911,x118912))))),
% 163.28/163.04 inference(rename_variables,[],[4006])).
% 163.28/163.04 cnf(11898,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x118981),f333(a117,x118981)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(11901,plain,
% 163.28/163.04 (P24(f333(f333(f335(f890(x119011,a874)),x119012),f333(f310(x119011),x119012)))),
% 163.28/163.04 inference(rename_variables,[],[3677])).
% 163.28/163.04 cnf(11902,plain,
% 163.28/163.04 (~E(f333(a117,x119021),x119021)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11909,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x119091),x119091))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11914,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x119141),x119141))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11920,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a1),f333(f80(a1),a102)),f2(a1)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,3314,10752,10797,10800,10833,10859,10896,10934,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,3336,10703,10856,10927,11652,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691])).
% 163.28/163.04 cnf(11923,plain,
% 163.28/163.04 (P24(f333(f333(f250(f890(x119231,a874)),x119232),f333(f333(f311(x119231),x119233),x119232)))),
% 163.28/163.04 inference(rename_variables,[],[3751])).
% 163.28/163.04 cnf(11926,plain,
% 163.28/163.04 (P24(f333(f333(f201(a24),x119261),x119261))),
% 163.28/163.04 inference(rename_variables,[],[3313])).
% 163.28/163.04 cnf(11927,plain,
% 163.28/163.04 (~E(f333(a117,x119271),x119271)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11938,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x119381),x119381))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11939,plain,
% 163.28/163.04 (~E(f333(a117,x119391),x119391)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11942,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x119421),x119421))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(11945,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x119451),x119451))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(11948,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x119481),x119481))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(11951,plain,
% 163.28/163.04 (P24(f333(f333(f250(a880),x119511),x119511))),
% 163.28/163.04 inference(rename_variables,[],[3314])).
% 163.28/163.04 cnf(11953,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),f333(a109,f2(a1))),f333(a117,x119531)))),
% 163.28/163.04 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3769,11013,11633,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,3336,10703,10856,10927,11652,3788,4567,3835,4546,4548,3287,3288,4547,4550,4551,4591,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792])).
% 163.28/163.04 cnf(11954,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x119541),x119541))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11957,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x119571),x119571))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11960,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x119601),x119601))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11961,plain,
% 163.28/163.04 (P24(f333(f333(f251(a880),x119611),f333(a117,x119611)))),
% 163.28/163.04 inference(rename_variables,[],[3384])).
% 163.28/163.04 cnf(11970,plain,
% 163.28/163.04 (~P24(f333(f333(f251(a880),x119701),x119701))),
% 163.28/163.04 inference(rename_variables,[],[4556])).
% 163.28/163.04 cnf(11971,plain,
% 163.28/163.04 (~E(f333(a117,x119711),x119711)),
% 163.28/163.04 inference(rename_variables,[],[4488])).
% 163.28/163.04 cnf(11976,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x119761),x119761))),
% 163.28/163.04 inference(rename_variables,[],[3315])).
% 163.28/163.04 cnf(11991,plain,
% 163.28/163.04 (P24(f333(f333(f250(a1),x119911),x119911))),
% 163.28/163.05 inference(rename_variables,[],[3315])).
% 163.28/163.05 cnf(11996,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),f2(a880)),x119961))),
% 163.28/163.05 inference(rename_variables,[],[3336])).
% 163.28/163.05 cnf(12013,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120131),f2(a880)))),
% 163.28/163.05 inference(rename_variables,[],[4560])).
% 163.28/163.05 cnf(12016,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120161),f2(a880)))),
% 163.28/163.05 inference(rename_variables,[],[4560])).
% 163.28/163.05 cnf(12019,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x120191),x120192),f194(f890(x120191,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12022,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x120221),x120222),f194(f890(x120221,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12025,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120251),x120251))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12027,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120271),f333(f333(f106(a880),x120271),x120272)))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,4001,3677,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022])).
% 163.28/163.05 cnf(12028,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120281),x120281))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12031,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120311),x120311))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12034,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x120341),x120341))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12037,plain,
% 163.28/163.05 (P24(f333(f333(f251(a880),x120371),f333(a117,x120371)))),
% 163.28/163.05 inference(rename_variables,[],[3384])).
% 163.28/163.05 cnf(12044,plain,
% 163.28/163.05 (P24(f333(f333(f335(f890(x120441,a874)),x120442),f333(f310(x120441),x120442)))),
% 163.28/163.05 inference(rename_variables,[],[3677])).
% 163.28/163.05 cnf(12048,plain,
% 163.28/163.05 (~P24(f333(f333(f335(a880),f333(a117,f333(f143(a880,a880,f81(a880),f2(a880)),x120481))),f333(f173(a880),f333(f137(a880,x120482),x120481))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,4001,3677,11901,4035,3694,11025,11091,11172,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,3612,3753,10706,11044,11196,11226,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121])).
% 163.28/163.05 cnf(12049,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x120491,a874)),f333(f173(x120491),f333(f137(x120491,x120492),x120493))),f333(f173(x120491),x120493)))),
% 163.28/163.05 inference(rename_variables,[],[3951])).
% 163.28/163.05 cnf(12056,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x120561),x120562),f194(f890(x120561,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12061,plain,
% 163.28/163.05 (E(f333(f195(f881(x120611)),f333(f169(x120611),x120612)),f333(f195(f881(x120611)),x120612))),
% 163.28/163.05 inference(rename_variables,[],[3327])).
% 163.28/163.05 cnf(12068,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x120681,a874)),x120682),f258(f890(x120681,a874))))),
% 163.28/163.05 inference(rename_variables,[],[3694])).
% 163.28/163.05 cnf(12069,plain,
% 163.28/163.05 (~E(f333(a117,x120691),x120691)),
% 163.28/163.05 inference(rename_variables,[],[4488])).
% 163.28/163.05 cnf(12071,plain,
% 163.28/163.05 (~P20(a876,f194(f890(f879(a876),a874)),f333(f333(f311(f879(a876)),f333(f333(f333(f93(a876),a330),a886),f201(a886))),f194(f890(f879(a876),a874))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3327,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,3757,11618,3296,3396,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,4001,3677,11901,4035,3694,11025,11091,11172,11232,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,3612,3753,10706,11044,11196,11226,11237,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175])).
% 163.28/163.05 cnf(12072,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x120721,a874)),f194(f890(x120721,a874))),x120722))),
% 163.28/163.05 inference(rename_variables,[],[3753])).
% 163.28/163.05 cnf(12075,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x120751,a874)),f333(f173(x120751),f333(f137(x120751,x120752),x120753))),f333(f173(x120751),x120753)))),
% 163.28/163.05 inference(rename_variables,[],[3951])).
% 163.28/163.05 cnf(12081,plain,
% 163.28/163.05 (P24(f333(f333(f251(a880),x120811),f333(a117,x120811)))),
% 163.28/163.05 inference(rename_variables,[],[3384])).
% 163.28/163.05 cnf(12089,plain,
% 163.28/163.05 (~P24(f333(f333(f335(f889(x120891,x120891)),x120892),f154(x120891,f118(f890(x120891,a880)))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2974,2975,2977,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3327,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,4046,4006,3951,10846,12049,4001,3677,11901,4035,3694,11025,11091,11172,11232,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,3612,3753,10706,11044,11196,11226,11237,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243])).
% 163.28/163.05 cnf(12090,plain,
% 163.28/163.05 (E(f333(f259(x120901,x120901),f260(x120901,x120902)),x120902)),
% 163.28/163.05 inference(rename_variables,[],[3270])).
% 163.28/163.05 cnf(12101,plain,
% 163.28/163.05 (P24(f333(f63(x121011),f194(f890(x121011,a874))))),
% 163.28/163.05 inference(rename_variables,[],[3392])).
% 163.28/163.05 cnf(12102,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x121021),x121022),f194(f890(x121021,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12107,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x121071),f2(a880)))),
% 163.28/163.05 inference(rename_variables,[],[4560])).
% 163.28/163.05 cnf(12108,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x121081),x121081))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12113,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x121131,a874)),f333(f173(x121131),f171(x121131,x121132,x121133))),f333(f173(x121131),x121133)))),
% 163.28/163.05 inference(rename_variables,[],[4001])).
% 163.28/163.05 cnf(12116,plain,
% 163.28/163.05 (P21(x121161,x121161,f7(x121161),x121162)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12121,plain,
% 163.28/163.05 (P24(f333(f333(f335(f890(x121211,a874)),x121212),f333(f310(x121211),x121212)))),
% 163.28/163.05 inference(rename_variables,[],[3677])).
% 163.28/163.05 cnf(12128,plain,
% 163.28/163.05 (P24(f333(f333(f201(a24),x121281),x121281))),
% 163.28/163.05 inference(rename_variables,[],[3313])).
% 163.28/163.05 cnf(12131,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x121311),x121312),f194(f890(x121311,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12134,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x121341,a874)),x121342),f333(f333(f311(x121341),x121343),x121342)))),
% 163.28/163.05 inference(rename_variables,[],[3751])).
% 163.28/163.05 cnf(12135,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x121351,a874)),x121352),f258(f890(x121351,a874))))),
% 163.28/163.05 inference(rename_variables,[],[3694])).
% 163.28/163.05 cnf(12142,plain,
% 163.28/163.05 (P24(f333(f333(f251(a880),x121421),f333(a117,x121421)))),
% 163.28/163.05 inference(rename_variables,[],[3384])).
% 163.28/163.05 cnf(12145,plain,
% 163.28/163.05 (P24(f333(f333(f251(a880),x121451),f333(a117,x121451)))),
% 163.28/163.05 inference(rename_variables,[],[3384])).
% 163.28/163.05 cnf(12148,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),x121481),x121481))),
% 163.28/163.05 inference(rename_variables,[],[3314])).
% 163.28/163.05 cnf(12151,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),x121511),x121511))),
% 163.28/163.05 inference(rename_variables,[],[3314])).
% 163.28/163.05 cnf(12154,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),x121541),x121541))),
% 163.28/163.05 inference(rename_variables,[],[3314])).
% 163.28/163.05 cnf(12157,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),x121571),x121571))),
% 163.28/163.05 inference(rename_variables,[],[3314])).
% 163.28/163.05 cnf(12160,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x121601,a874)),x121602),x121602))),
% 163.28/163.05 inference(rename_variables,[],[3612])).
% 163.28/163.05 cnf(12164,plain,
% 163.28/163.05 (~P24(f333(f333(f250(a1),f333(f333(f3(a1),a84),a102)),f2(a1)))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,11081,4522,4523,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3327,3376,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,11750,4046,4006,3951,10846,12049,4001,11028,3677,11901,12044,4035,3694,11025,11091,11172,11232,12068,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,3471,10641,10907,10951,11221,11299,11463,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,11923,3612,11190,3753,10706,11044,11196,11226,11237,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619])).
% 163.28/163.05 cnf(12167,plain,
% 163.28/163.05 (P24(f333(f333(f335(f890(x121671,a874)),x121672),f333(f310(x121671),x121672)))),
% 163.28/163.05 inference(rename_variables,[],[3677])).
% 163.28/163.05 cnf(12176,plain,
% 163.28/163.05 (~E(f333(a117,x121761),x121761)),
% 163.28/163.05 inference(rename_variables,[],[4488])).
% 163.28/163.05 cnf(12177,plain,
% 163.28/163.05 (E(f333(f312(x121771,x121771,f7(x121771)),x121772),x121772)),
% 163.28/163.05 inference(rename_variables,[],[3376])).
% 163.28/163.05 cnf(12180,plain,
% 163.28/163.05 (P35(x121801,x121802,f118(x121801),f118(x121801))),
% 163.28/163.05 inference(rename_variables,[],[3562])).
% 163.28/163.05 cnf(12183,plain,
% 163.28/163.05 (~E(f333(a117,x121831),x121831)),
% 163.28/163.05 inference(rename_variables,[],[4488])).
% 163.28/163.05 cnf(12186,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x121861,a874)),f333(f173(x121861),f171(x121861,x121862,x121863))),f333(f173(x121861),x121863)))),
% 163.28/163.05 inference(rename_variables,[],[4001])).
% 163.28/163.05 cnf(12187,plain,
% 163.28/163.05 (P24(f333(f63(x121871),f333(f173(x121871),x121872)))),
% 163.28/163.05 inference(rename_variables,[],[3356])).
% 163.28/163.05 cnf(12198,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x121981),x121981))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12201,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x122011),x122011))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12206,plain,
% 163.28/163.05 (E(f333(f195(f881(x122061)),f333(f169(x122061),x122062)),f333(f195(f881(x122061)),x122062))),
% 163.28/163.05 inference(rename_variables,[],[3327])).
% 163.28/163.05 cnf(12213,plain,
% 163.28/163.05 (P31(a880,f333(f170(a880),f333(f333(f155(f881(x122131),a880),f195(f881(x122131))),f180(x122131,x122132))))),
% 163.28/163.05 inference(rename_variables,[],[3867])).
% 163.28/163.05 cnf(12216,plain,
% 163.28/163.05 (P21(x122161,x122161,f7(x122161),x122162)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12219,plain,
% 163.28/163.05 (P24(f333(f333(f335(f881(x122191)),f118(x122191)),f162(x122191,x122192)))),
% 163.28/163.05 inference(rename_variables,[],[3515])).
% 163.28/163.05 cnf(12222,plain,
% 163.28/163.05 (~P24(f333(f333(f194(f890(x122221,f890(x122222,a874))),x122223),x122224))),
% 163.28/163.05 inference(rename_variables,[],[4585])).
% 163.28/163.05 cnf(12224,plain,
% 163.28/163.05 (P24(f333(f333(f251(f890(x122241,a874)),f333(a117,f258(f890(x122241,a874)))),f333(f333(f311(x122241),x122242),f258(f890(x122241,a874)))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,11081,12116,3562,4522,4523,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,3376,10849,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,11750,4046,4006,3951,10846,12049,4001,11028,12113,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,11923,3612,11190,3753,10706,11044,11196,11226,11237,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907])).
% 163.28/163.05 cnf(12227,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),x122271),x122271))),
% 163.28/163.05 inference(rename_variables,[],[3314])).
% 163.28/163.05 cnf(12228,plain,
% 163.28/163.05 (P24(f333(f333(f250(a880),f2(a880)),x122281))),
% 163.28/163.05 inference(rename_variables,[],[3336])).
% 163.28/163.05 cnf(12230,plain,
% 163.28/163.05 (P24(f333(f333(f250(a1),f2(a1)),f401(x122301,f194(f890(x122302,f890(x122303,a874))),f79(a1))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,11081,12116,3562,4522,4523,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,3376,10849,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,11750,4046,4006,3951,10846,12049,4001,11028,12113,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,11923,3612,11190,3753,10706,11044,11196,11226,11237,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928])).
% 163.28/163.05 cnf(12231,plain,
% 163.28/163.05 (~P24(f333(f333(f194(f890(x122311,f890(x122312,a874))),x122313),x122314))),
% 163.28/163.05 inference(rename_variables,[],[4585])).
% 163.28/163.05 cnf(12234,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(f889(f881(x122341),f881(x122341)),a874)),f159(x122341,x122342)),f309(f881(x122341),f158(x122341,x122342))))),
% 163.28/163.05 inference(rename_variables,[],[4006])).
% 163.28/163.05 cnf(12239,plain,
% 163.28/163.05 (P24(f333(f333(f251(f890(x122391,a874)),f194(f890(x122391,a874))),f258(f890(x122391,a874))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,11081,12116,3562,4522,4523,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,3376,10849,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,11750,4046,4006,11891,12234,3951,10846,12049,4001,11028,12113,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,11923,3612,11190,3753,10706,11044,11196,11226,11237,12072,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,4181,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010])).
% 163.28/163.05 cnf(12240,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122401,a874)),f194(f890(x122401,a874))),x122402))),
% 163.28/163.05 inference(rename_variables,[],[3753])).
% 163.28/163.05 cnf(12243,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122431,a874)),f333(f312(x122432,x122431,x122433),f333(f313(x122432,x122431,x122433),x122434))),x122434))),
% 163.28/163.05 inference(rename_variables,[],[4181])).
% 163.28/163.05 cnf(12246,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122461,a874)),f333(f173(x122461),f171(x122461,x122462,x122463))),f333(f173(x122461),x122463)))),
% 163.28/163.05 inference(rename_variables,[],[4001])).
% 163.28/163.05 cnf(12247,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122471,a874)),f333(f173(x122471),f333(f137(x122471,x122472),x122473))),f333(f173(x122471),x122473)))),
% 163.28/163.05 inference(rename_variables,[],[3951])).
% 163.28/163.05 cnf(12250,plain,
% 163.28/163.05 (P21(x122501,f884(x122501),f242(x122501),x122502)),
% 163.28/163.05 inference(rename_variables,[],[3563])).
% 163.28/163.05 cnf(12255,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122551,a874)),f333(f312(x122552,x122551,x122553),f333(f313(x122552,x122551,x122553),x122554))),x122554))),
% 163.28/163.05 inference(rename_variables,[],[4181])).
% 163.28/163.05 cnf(12258,plain,
% 163.28/163.05 (P24(f333(f63(f884(x122581)),f333(f312(x122582,f884(x122581),f333(f178(x122582,x122581),x122583)),f258(f890(x122582,a874)))))),
% 163.28/163.05 inference(rename_variables,[],[4013])).
% 163.28/163.05 cnf(12263,plain,
% 163.28/163.05 (P24(f333(f333(f335(f881(x122631)),f118(x122631)),f162(x122631,x122632)))),
% 163.28/163.05 inference(rename_variables,[],[3515])).
% 163.28/163.05 cnf(12266,plain,
% 163.28/163.05 (~P24(f333(f333(f335(f889(f881(x122661),f881(x122661))),f333(f333(f263(f881(x122661),f881(x122661)),x122662),f118(x122661))),f146(x122661,x122663)))),
% 163.28/163.05 inference(rename_variables,[],[4593])).
% 163.28/163.05 cnf(12269,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x122691),f2(a880)))),
% 163.28/163.05 inference(rename_variables,[],[4560])).
% 163.28/163.05 cnf(12271,plain,
% 163.28/163.05 (~P24(f333(f63(x122711),f258(f890(x122711,a874))))),
% 163.28/163.05 inference(scs_inference,[],[4588,3552,11081,12116,3562,3563,3281,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,4503,10467,10560,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,3244,11627,3255,3769,11013,11633,4069,3146,3966,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,3376,10849,3243,3265,10508,3419,4578,3939,4512,10300,10464,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,3942,11022,11148,11199,4593,10954,11153,11258,11280,11315,11321,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3507,4577,4076,11275,3635,3356,11747,11750,4046,4006,11891,12234,3951,10846,12049,12075,4001,11028,12113,12186,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,4013,3906,11343,11678,11682,3751,10967,10973,10988,11923,3612,11190,12160,3753,10706,11044,11196,11226,11237,12072,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,4181,10839,12243,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152])).
% 163.28/163.05 cnf(12272,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122721,a874)),x122722),x122722))),
% 163.28/163.05 inference(rename_variables,[],[3612])).
% 163.28/163.05 cnf(12275,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x122751),x122752),f194(f890(x122751,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12278,plain,
% 163.28/163.05 (~P24(f333(f333(f194(f890(x122781,f890(x122782,a874))),x122783),x122784))),
% 163.28/163.05 inference(rename_variables,[],[4585])).
% 163.28/163.05 cnf(12281,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122811,a874)),f333(f312(x122812,x122811,x122813),f333(f313(x122812,x122811,x122813),x122814))),x122814))),
% 163.28/163.05 inference(rename_variables,[],[4181])).
% 163.28/163.05 cnf(12282,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122821,a874)),x122822),x122822))),
% 163.28/163.05 inference(rename_variables,[],[3612])).
% 163.28/163.05 cnf(12287,plain,
% 163.28/163.05 (E(f333(f259(x122871,x122871),f260(x122871,x122872)),x122872)),
% 163.28/163.05 inference(rename_variables,[],[3270])).
% 163.28/163.05 cnf(12290,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x122901,a874)),f333(f173(x122901),f171(x122901,x122902,x122903))),f333(f173(x122901),x122903)))),
% 163.28/163.05 inference(rename_variables,[],[4001])).
% 163.28/163.05 cnf(12291,plain,
% 163.28/163.05 (P24(f333(f63(x122911),f333(f173(x122911),x122912)))),
% 163.28/163.05 inference(rename_variables,[],[3356])).
% 163.28/163.05 cnf(12294,plain,
% 163.28/163.05 (P24(f333(f333(f201(a24),x122941),x122941))),
% 163.28/163.05 inference(rename_variables,[],[3313])).
% 163.28/163.05 cnf(12297,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x122971),x122971))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12300,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x123001),x123001))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12311,plain,
% 163.28/163.05 (P21(x123111,x123111,f7(x123111),x123112)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12318,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x123181),x123182),f194(f890(x123181,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12321,plain,
% 163.28/163.05 (P24(f333(f333(f335(f889(x123211,x123211)),f333(f333(f263(x123211,x123211),x123212),x123212)),f309(x123211,x123213)))),
% 163.28/163.05 inference(rename_variables,[],[3942])).
% 163.28/163.05 cnf(12324,plain,
% 163.28/163.05 (~P24(f333(f333(f335(x123241),x123242),f194(f890(x123241,a874))))),
% 163.28/163.05 inference(rename_variables,[],[4572])).
% 163.28/163.05 cnf(12327,plain,
% 163.28/163.05 (P24(f333(f333(f335(f889(x123271,x123271)),f333(f333(f263(x123271,x123271),x123272),x123272)),f309(x123271,x123273)))),
% 163.28/163.05 inference(rename_variables,[],[3942])).
% 163.28/163.05 cnf(12334,plain,
% 163.28/163.05 (~E(f333(f333(f152(x123341),x123342),x123343),x123343)),
% 163.28/163.05 inference(rename_variables,[],[4512])).
% 163.28/163.05 cnf(12337,plain,
% 163.28/163.05 (P24(f333(f333(f335(x123371),x123372),f258(f890(x123371,a874))))),
% 163.28/163.05 inference(rename_variables,[],[3471])).
% 163.28/163.05 cnf(12338,plain,
% 163.28/163.05 (~E(f333(a117,x123381),x123381)),
% 163.28/163.05 inference(rename_variables,[],[4488])).
% 163.28/163.05 cnf(12341,plain,
% 163.28/163.05 (P24(f333(f333(f335(f881(x123411)),f118(x123411)),f162(x123411,x123412)))),
% 163.28/163.05 inference(rename_variables,[],[3515])).
% 163.28/163.05 cnf(12342,plain,
% 163.28/163.05 (~E(f333(f333(f152(x123421),x123422),x123423),f118(x123421))),
% 163.28/163.05 inference(rename_variables,[],[4521])).
% 163.28/163.05 cnf(12345,plain,
% 163.28/163.05 (P24(f333(f333(f335(x123451),f333(x123452,x123453)),f333(f312(x123454,x123451,x123452),f258(f890(x123454,a874)))))),
% 163.28/163.05 inference(rename_variables,[],[3906])).
% 163.28/163.05 cnf(12346,plain,
% 163.28/163.05 (P21(x123461,x123461,f7(x123461),x123462)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12349,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x123491,a874)),f194(f890(x123491,a874))),x123492))),
% 163.28/163.05 inference(rename_variables,[],[3753])).
% 163.28/163.05 cnf(12350,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x123501,a874)),x123502),x123502))),
% 163.28/163.05 inference(rename_variables,[],[3612])).
% 163.28/163.05 cnf(12353,plain,
% 163.28/163.05 (P24(f333(f333(f335(x123531),f333(x123532,x123533)),f333(f312(x123534,x123531,x123532),f258(f890(x123534,a874)))))),
% 163.28/163.05 inference(rename_variables,[],[3906])).
% 163.28/163.05 cnf(12354,plain,
% 163.28/163.05 (P21(x123541,x123541,f7(x123541),x123542)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12357,plain,
% 163.28/163.05 (P24(f333(f333(f335(f889(f881(x123571),f881(x123571))),f333(f333(f263(f881(x123571),f881(x123571)),f118(x123571)),f118(x123571))),f159(x123571,x123572)))),
% 163.28/163.05 inference(rename_variables,[],[4082])).
% 163.28/163.05 cnf(12360,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x123601),x123601))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12361,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x123611),f2(a880)))),
% 163.28/163.05 inference(rename_variables,[],[4560])).
% 163.28/163.05 cnf(12367,plain,
% 163.28/163.05 (P21(x123671,x123671,f7(x123671),x123672)),
% 163.28/163.05 inference(rename_variables,[],[3552])).
% 163.28/163.05 cnf(12370,plain,
% 163.28/163.05 (E(f333(f333(f127(x123701),x123702),f118(x123701)),x123702)),
% 163.28/163.05 inference(rename_variables,[],[3244])).
% 163.28/163.05 cnf(12371,plain,
% 163.28/163.05 (~E(f333(f333(f152(x123711),x123712),x123713),x123713)),
% 163.28/163.05 inference(rename_variables,[],[4512])).
% 163.28/163.05 cnf(12374,plain,
% 163.28/163.05 (E(f333(f333(f127(x123741),x123742),f118(x123741)),x123742)),
% 163.28/163.05 inference(rename_variables,[],[3244])).
% 163.28/163.05 cnf(12375,plain,
% 163.28/163.05 (~E(f333(f333(f152(x123751),x123752),x123753),x123753)),
% 163.28/163.05 inference(rename_variables,[],[4512])).
% 163.28/163.05 cnf(12378,plain,
% 163.28/163.05 (E(f333(f333(f127(x123781),x123782),f118(x123781)),x123782)),
% 163.28/163.05 inference(rename_variables,[],[3244])).
% 163.28/163.05 cnf(12387,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x123871,a874)),x123872),f258(f890(x123871,a874))))),
% 163.28/163.05 inference(rename_variables,[],[3694])).
% 163.28/163.05 cnf(12391,plain,
% 163.28/163.05 (~P24(f333(f333(f251(a880),x123911),x123911))),
% 163.28/163.05 inference(rename_variables,[],[4556])).
% 163.28/163.05 cnf(12392,plain,
% 163.28/163.05 (~E(f333(a117,x123921),x123921)),
% 163.28/163.05 inference(rename_variables,[],[4488])).
% 163.28/163.05 cnf(12395,plain,
% 163.28/163.05 (P24(f333(f333(f250(f890(x123951,a874)),f194(f890(x123951,a874))),x123952))),
% 163.28/163.05 inference(rename_variables,[],[3753])).
% 163.28/163.05 cnf(12398,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x123981),x123981))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12401,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124011,a874)),x124012),x124012))),
% 163.32/163.05 inference(rename_variables,[],[3612])).
% 163.32/163.05 cnf(12406,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124061,a874)),x124062),f333(f333(f311(x124061),x124063),x124062)))),
% 163.32/163.05 inference(rename_variables,[],[3751])).
% 163.32/163.05 cnf(12409,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124091,a874)),x124092),x124092))),
% 163.32/163.05 inference(rename_variables,[],[3612])).
% 163.32/163.05 cnf(12410,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x124101),x124102),f194(f890(x124101,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12413,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x124131),x124132),f194(f890(x124131,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12421,plain,
% 163.32/163.05 (~P24(f333(f333(f250(f890(f889(x124211,x124211),a874)),f333(f312(f889(x124211,x124211),f889(x124211,x124211),f7(f889(x124211,x124211))),f258(f890(f889(x124211,x124211),a874)))),f333(f312(f889(x124211,x124211),f889(x124211,x124211),f7(f889(x124211,x124211))),f333(a117,f258(f890(f889(x124211,x124211),a874))))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,3244,11627,12370,12374,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,3942,11022,11148,11199,12321,12327,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,3507,4577,4076,11275,3635,3356,11747,11750,12187,4046,4006,11891,12234,3951,10846,12049,12075,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,3378,10670,10700,10709,11250,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158])).
% 163.32/163.05 cnf(12422,plain,
% 163.32/163.05 (P21(x124221,x124221,f7(x124221),x124222)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12425,plain,
% 163.32/163.05 (E(f333(f195(f881(x124251)),f333(f169(x124251),x124252)),f333(f195(f881(x124251)),x124252))),
% 163.32/163.05 inference(rename_variables,[],[3327])).
% 163.32/163.05 cnf(12428,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x124281),x124281))),
% 163.32/163.05 inference(rename_variables,[],[4556])).
% 163.32/163.05 cnf(12429,plain,
% 163.32/163.05 (P24(f333(f258(f890(x124291,a874)),x124292))),
% 163.32/163.05 inference(rename_variables,[],[3378])).
% 163.32/163.05 cnf(12432,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x124321),x124322),f194(f890(x124321,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12435,plain,
% 163.32/163.05 (P24(f333(f333(f335(x124351),f333(x124352,x124353)),f333(f312(x124354,x124351,x124352),f258(f890(x124354,a874)))))),
% 163.32/163.05 inference(rename_variables,[],[3906])).
% 163.32/163.05 cnf(12436,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(x124361,x124361)),f333(f333(f263(x124361,x124361),x124362),x124362)),f309(x124361,x124363)))),
% 163.32/163.05 inference(rename_variables,[],[3942])).
% 163.32/163.05 cnf(12439,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(x124391,x124391)),f333(f333(f263(x124391,x124391),x124392),x124392)),f309(x124391,x124393)))),
% 163.32/163.05 inference(rename_variables,[],[3942])).
% 163.32/163.05 cnf(12442,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x124421),x124421))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12443,plain,
% 163.32/163.05 (P24(f333(f258(f890(x124431,a874)),x124432))),
% 163.32/163.05 inference(rename_variables,[],[3378])).
% 163.32/163.05 cnf(12446,plain,
% 163.32/163.05 (P24(f333(f63(x124461),f333(f173(x124461),x124462)))),
% 163.32/163.05 inference(rename_variables,[],[3356])).
% 163.32/163.05 cnf(12451,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(f881(x124511),f881(x124511))),f333(f333(f263(f881(x124511),f881(x124511)),f118(x124511)),f118(x124511))),f333(f333(f290(f881(x124511),f881(x124511),f881(x124511)),f159(x124511,x124512)),f159(x124511,x124512))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,12206,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,3942,11022,11148,11199,12321,12327,12436,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,12353,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399])).
% 163.32/163.05 cnf(12453,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(x124531,x124531)),f333(f333(f263(x124531,x124531),x124532),x124532)),f333(f333(f290(x124531,x124531,x124531),f309(x124531,x124533)),f309(x124531,f309(x124531,x124533)))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,12206,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,3942,11022,11148,11199,12321,12327,12436,12439,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,12353,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,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% 163.32/163.05 cnf(12456,plain,
% 163.32/163.05 (~P24(f333(f333(f194(f890(x124561,f890(x124562,a874))),x124563),x124564))),
% 163.32/163.05 inference(rename_variables,[],[4585])).
% 163.32/163.05 cnf(12459,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124591,a874)),x124592),f258(f890(x124591,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3694])).
% 163.32/163.05 cnf(12462,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(x124621,x124621)),f333(f333(f263(x124621,x124621),x124622),x124622)),f309(x124621,x124623)))),
% 163.32/163.05 inference(rename_variables,[],[3942])).
% 163.32/163.05 cnf(12465,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x124651),x124652)),x124652))),
% 163.32/163.05 inference(rename_variables,[],[4582])).
% 163.32/163.05 cnf(12466,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x124661),f333(a117,x124661)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12469,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124691,a874)),f333(f173(x124691),f333(f137(x124691,x124692),x124693))),f333(f173(x124691),x124693)))),
% 163.32/163.05 inference(rename_variables,[],[3951])).
% 163.32/163.05 cnf(12472,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x124721,a874)),x124722),f258(f890(x124721,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3694])).
% 163.32/163.05 cnf(12475,plain,
% 163.32/163.05 (E(f333(f259(x124751,x124751),f260(x124751,x124752)),x124752)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12486,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x124861),x124862),f194(f890(x124861,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12487,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(f881(x124871),f881(x124871))),f333(f333(f263(f881(x124871),f881(x124871)),f118(x124871)),f118(x124871))),f159(x124871,x124872)))),
% 163.32/163.05 inference(rename_variables,[],[4082])).
% 163.32/163.05 cnf(12489,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(a880,a880)),f333(f333(f263(a880,a880),f333(a117,x124891)),f333(a117,f333(a117,x124891)))),f333(f333(f290(a880,a880,a880),f309(a880,a323)),f309(a880,f309(a880,a323)))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3651,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,12206,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,4219,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,12247,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,12353,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,11679,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520])).
% 163.32/163.05 cnf(12492,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x124921),x124922),f194(f890(x124921,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12495,plain,
% 163.32/163.05 (P34(x124951,x124952,f118(x124951))),
% 163.32/163.05 inference(rename_variables,[],[3249])).
% 163.32/163.05 cnf(12498,plain,
% 163.32/163.05 (E(f333(f195(f881(x124981)),f333(f169(x124981),x124982)),f333(f195(f881(x124981)),x124982))),
% 163.32/163.05 inference(rename_variables,[],[3327])).
% 163.32/163.05 cnf(12501,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x125011),x125012),f194(f890(x125011,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12506,plain,
% 163.32/163.05 (P24(f333(f333(f201(a24),x125061),x125061))),
% 163.32/163.05 inference(rename_variables,[],[3313])).
% 163.32/163.05 cnf(12508,plain,
% 163.32/163.05 (~P24(f333(f333(f335(f889(f881(x125081),f881(x125081))),f333(f333(f263(f881(x125081),f881(x125081)),x125082),x125082)),f148(x125081,f154(x125081,f118(f890(x125081,a880))))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,3249,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3651,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,12206,12425,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,4219,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,12247,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,3471,10641,10907,10951,11221,11299,11463,11703,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,12353,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,11679,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,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% 163.32/163.05 cnf(12510,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x125101),x125101))),
% 163.32/163.05 inference(rename_variables,[],[4556])).
% 163.32/163.05 cnf(12512,plain,
% 163.32/163.05 (P24(f333(f333(f335(f889(f881(x125121),f881(x125121))),f333(f333(f263(f881(x125121),f881(x125121)),f333(f169(x125121),x125122)),x125122)),f159(x125121,f258(f890(f889(x125121,x125121),a874)))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,3562,3563,3281,3249,4522,4523,3186,4506,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,4503,10467,10560,3373,3522,3231,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3028,3047,3054,3055,3057,3059,3078,3085,3102,4484,3651,3156,11354,3357,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,3857,11404,3211,3177,3172,3154,3155,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3420,3206,3207,10366,10673,3476,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,3757,11618,3296,3396,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,4574,11502,11533,11568,11598,3744,3524,3889,3342,3343,3317,4557,4508,3703,4219,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,12247,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,3471,10641,10907,10951,11221,11299,11463,11703,12337,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,4567,3799,3835,4546,4548,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,3906,11343,11678,11682,11744,12345,12353,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,4584,11615,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,4181,10839,12243,12255,4088,3787,3732,4582,10319,10322,10658,10661,11499,11679,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,856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% 163.32/163.05 cnf(12513,plain,
% 163.32/163.05 (P24(f333(f333(f335(x125131),x125132),f258(f890(x125131,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3471])).
% 163.32/163.05 cnf(12519,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x125191,a874)),x125192),x125192))),
% 163.32/163.05 inference(rename_variables,[],[3612])).
% 163.32/163.05 cnf(12522,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x125221),x125222),f194(f890(x125221,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12525,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),f2(a1)),f333(f333(f264(a1),f333(f76(a1),x125251)),x125252)))),
% 163.32/163.05 inference(rename_variables,[],[3787])).
% 163.32/163.05 cnf(12528,plain,
% 163.32/163.05 (~E(f333(a117,x125281),x125281)),
% 163.32/163.05 inference(rename_variables,[],[4488])).
% 163.32/163.05 cnf(12530,plain,
% 163.32/163.05 (E(f333(f259(x125301,x125301),f260(x125301,x125302)),x125302)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12538,plain,
% 163.32/163.05 (E(f333(f259(x125381,x125381),f260(x125381,x125382)),x125382)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12544,plain,
% 163.32/163.05 (E(f333(f259(x125441,x125441),f260(x125441,x125442)),x125442)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12546,plain,
% 163.32/163.05 (E(f333(f259(x125461,x125461),f260(x125461,x125462)),x125462)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12550,plain,
% 163.32/163.05 (E(f194(f890(f889(x125501,x125501),a874)),f260(x125501,f194(f890(x125501,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3387])).
% 163.32/163.05 cnf(12552,plain,
% 163.32/163.05 (E(f333(f259(x125521,x125521),f260(x125521,x125522)),x125522)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12556,plain,
% 163.32/163.05 (E(f333(f259(x125561,x125561),f260(x125561,x125562)),x125562)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12558,plain,
% 163.32/163.05 (E(f333(f259(x125581,x125581),f260(x125581,x125582)),x125582)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12560,plain,
% 163.32/163.05 (E(f333(f259(x125601,x125601),f260(x125601,x125602)),x125602)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12562,plain,
% 163.32/163.05 (P35(x125621,x125622,f118(x125621),f118(x125621))),
% 163.32/163.05 inference(rename_variables,[],[3562])).
% 163.32/163.05 cnf(12564,plain,
% 163.32/163.05 (P35(x125641,x125642,f118(x125641),f118(x125641))),
% 163.32/163.05 inference(rename_variables,[],[3562])).
% 163.32/163.05 cnf(12568,plain,
% 163.32/163.05 (P21(x125681,x125681,f7(x125681),x125682)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12570,plain,
% 163.32/163.05 (P21(x125701,x125701,f7(x125701),x125702)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12576,plain,
% 163.32/163.05 (P40(x125761,f154(x125761,x125762))),
% 163.32/163.05 inference(rename_variables,[],[3186])).
% 163.32/163.05 cnf(12580,plain,
% 163.32/163.05 (P11(x125801,f890(x125801,a874),f311(x125801))),
% 163.32/163.05 inference(rename_variables,[],[3284])).
% 163.32/163.05 cnf(12585,plain,
% 163.32/163.05 (E(f333(f259(x125851,x125851),f260(x125851,x125852)),x125852)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12592,plain,
% 163.32/163.05 (P32(x125921,f2(a880),f333(f333(f333(f93(x125921),x125922),f333(a26,x125923)),x125924))),
% 163.32/163.05 inference(rename_variables,[],[3687])).
% 163.32/163.05 cnf(12602,plain,
% 163.32/163.05 (E(f333(f259(x126021,x126021),f260(x126021,x126022)),x126022)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12604,plain,
% 163.32/163.05 (P20(x126041,x126042,f194(f890(f879(x126041),a874)))),
% 163.32/163.05 inference(rename_variables,[],[3372])).
% 163.32/163.05 cnf(12610,plain,
% 163.32/163.05 (P54(x126101,x126101,f260(x126101,x126102))),
% 163.32/163.05 inference(rename_variables,[],[3281])).
% 163.32/163.05 cnf(12617,plain,
% 163.32/163.05 (P50(x126171,x126172,f260(x126171,x126172))),
% 163.32/163.05 inference(rename_variables,[],[3280])).
% 163.32/163.05 cnf(12619,plain,
% 163.32/163.05 (P50(x126191,x126192,f260(x126191,x126192))),
% 163.32/163.05 inference(rename_variables,[],[3280])).
% 163.32/163.05 cnf(12623,plain,
% 163.32/163.05 (P55(x126231,f194(f890(x126231,a874)),x126232)),
% 163.32/163.05 inference(rename_variables,[],[3334])).
% 163.32/163.05 cnf(12635,plain,
% 163.32/163.05 (P44(x126351,x126352,x126353,x126354,f194(f890(x126351,a874)),x126354)),
% 163.32/163.05 inference(rename_variables,[],[4249])).
% 163.32/163.05 cnf(12638,plain,
% 163.32/163.05 (P44(x126381,x126382,x126383,x126384,f194(f890(x126381,a874)),x126384)),
% 163.32/163.05 inference(rename_variables,[],[4249])).
% 163.32/163.05 cnf(12646,plain,
% 163.32/163.05 (P41(x126461,f197(x126461))),
% 163.32/163.05 inference(rename_variables,[],[3143])).
% 163.32/163.05 cnf(12650,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),f2(a880)),f333(a117,x126501)))),
% 163.32/163.05 inference(rename_variables,[],[3396])).
% 163.32/163.05 cnf(12651,plain,
% 163.32/163.05 (~E(f333(a117,x126511),x126511)),
% 163.32/163.05 inference(rename_variables,[],[4488])).
% 163.32/163.05 cnf(12657,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x126571),f333(a117,x126571)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12662,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x126621),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12665,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x126651),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12672,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a1),f333(f105(a1),x126721)),f333(f80(a1),f333(f105(a1),x126722))))),
% 163.32/163.05 inference(rename_variables,[],[4580])).
% 163.32/163.05 cnf(12682,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x126821),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12685,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x126851),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12688,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x126881,x126882)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12691,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x126911,x126912)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12694,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x126941,x126942)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12697,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x126971,x126972)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12704,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),f333(f80(a1),f333(f105(a1),x127041))),f333(f105(a1),x127042)))),
% 163.32/163.05 inference(rename_variables,[],[3788])).
% 163.32/163.05 cnf(12707,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x127071),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12708,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x127081),x127081))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12715,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x127151),f333(a117,x127151)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12718,plain,
% 163.32/163.05 (P24(f333(f333(f335(x127181),f333(x127182,x127183)),f333(f312(x127184,x127181,x127182),f258(f890(x127184,a874)))))),
% 163.32/163.05 inference(rename_variables,[],[3906])).
% 163.32/163.05 cnf(12719,plain,
% 163.32/163.05 (~E(f333(a117,x127191),f2(a880))),
% 163.32/163.05 inference(rename_variables,[],[4498])).
% 163.32/163.05 cnf(12721,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a1),f2(a1)),f333(f108(a1),f2(a1))))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,4503,10467,10560,3373,3334,12623,3522,3231,4498,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3027,3028,3047,3054,3055,3057,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,4574,11502,11533,11568,11598,3744,3524,3525,12688,12691,12694,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,12247,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,3471,10641,10907,10951,11221,11299,11463,11703,12337,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,11753,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,3732,3733,4582,10319,10322,10658,10661,11499,11679,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,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% 163.32/163.05 cnf(12723,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),f333(f108(a1),a84)),f2(a1)))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,4503,10467,10560,3373,3334,12623,3522,3231,4498,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,3005,3027,3028,3047,3054,3055,3057,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3867,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,4574,11502,11533,11568,11598,3744,3524,3525,12688,12691,12694,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,4046,4006,11891,12234,3951,10846,12049,12075,12247,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,3316,3392,12101,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,3471,10641,10907,10951,11221,11299,11463,11703,12337,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,3378,10670,10700,10709,11250,11802,12429,3415,3409,3828,3766,10343,11621,11651,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,3788,11753,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,3732,3733,4582,10319,10322,10658,10661,11499,11679,4583,11595,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804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% 163.32/163.05 cnf(12724,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x127241),x127241))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12727,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x127271,x127272)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12730,plain,
% 163.32/163.05 (P24(f333(f63(a880),f306(a880,x127301,x127302)))),
% 163.32/163.05 inference(rename_variables,[],[3525])).
% 163.32/163.05 cnf(12733,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x127331),x127331))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12746,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x127461),f333(a117,x127461)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12751,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),f46(a880,x127511,x127512)),x127511))),
% 163.32/163.05 inference(rename_variables,[],[3766])).
% 163.32/163.05 cnf(12758,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x127581),f333(a117,x127581)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12759,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x127591),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12768,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a1),f333(f105(a1),x127681)),f2(a1)))),
% 163.32/163.05 inference(rename_variables,[],[4574])).
% 163.32/163.05 cnf(12769,plain,
% 163.32/163.05 (P24(f333(f258(f890(x127691,a874)),x127692))),
% 163.32/163.05 inference(rename_variables,[],[3378])).
% 163.32/163.05 cnf(12772,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a1),f333(f105(a1),x127721)),f2(a1)))),
% 163.32/163.05 inference(rename_variables,[],[4574])).
% 163.32/163.05 cnf(12773,plain,
% 163.32/163.05 (P24(f333(f258(f890(x127731,a874)),x127732))),
% 163.32/163.05 inference(rename_variables,[],[3378])).
% 163.32/163.05 cnf(12776,plain,
% 163.32/163.05 (P24(f333(f258(f890(x127761,a874)),x127762))),
% 163.32/163.05 inference(rename_variables,[],[3378])).
% 163.32/163.05 cnf(12787,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x127871),x127872),f194(f890(x127871,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12788,plain,
% 163.32/163.05 (P24(f333(f63(x127881),f194(f890(x127881,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12797,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),f2(a880)),x127971))),
% 163.32/163.05 inference(rename_variables,[],[3336])).
% 163.32/163.05 cnf(12800,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x128001),f333(a117,x128001)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12801,plain,
% 163.32/163.05 (~E(f333(a117,x128011),x128011)),
% 163.32/163.05 inference(rename_variables,[],[4488])).
% 163.32/163.05 cnf(12804,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x128041),x128042),f194(f890(x128041,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12807,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x128071),x128072),f194(f890(x128071,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12810,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128101),x128101))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12817,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128171),x128171))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12821,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x128211),f333(a117,x128211)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12824,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128241),x128241))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12829,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128291),x128291))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12832,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128321),x128321))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12835,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128351),x128351))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12838,plain,
% 163.32/163.05 (E(f333(f333(f3(f890(x128381,a874)),f194(f890(x128381,a874))),x128382),f194(f890(x128381,a874)))),
% 163.32/163.05 inference(rename_variables,[],[3584])).
% 163.32/163.05 cnf(12839,plain,
% 163.32/163.05 (P24(f333(f63(x128391),f194(f890(x128391,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12842,plain,
% 163.32/163.05 (E(f333(f333(f3(f890(x128421,a874)),f194(f890(x128421,a874))),x128422),f194(f890(x128421,a874)))),
% 163.32/163.05 inference(rename_variables,[],[3584])).
% 163.32/163.05 cnf(12843,plain,
% 163.32/163.05 (P24(f333(f63(x128431),f194(f890(x128431,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12846,plain,
% 163.32/163.05 (E(f333(f333(f3(f890(x128461,a874)),f194(f890(x128461,a874))),x128462),f194(f890(x128461,a874)))),
% 163.32/163.05 inference(rename_variables,[],[3584])).
% 163.32/163.05 cnf(12847,plain,
% 163.32/163.05 (P24(f333(f63(x128471),f194(f890(x128471,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12850,plain,
% 163.32/163.05 (E(f333(f333(f3(f890(x128501,a874)),f194(f890(x128501,a874))),x128502),f194(f890(x128501,a874)))),
% 163.32/163.05 inference(rename_variables,[],[3584])).
% 163.32/163.05 cnf(12851,plain,
% 163.32/163.05 (P24(f333(f63(x128511),f194(f890(x128511,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12855,plain,
% 163.32/163.05 (E(f333(f259(x128551,x128551),f260(x128551,x128552)),x128552)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(12860,plain,
% 163.32/163.05 (E(f333(f333(f3(f890(x128601,a874)),f194(f890(x128601,a874))),x128602),f194(f890(x128601,a874)))),
% 163.32/163.05 inference(rename_variables,[],[3584])).
% 163.32/163.05 cnf(12861,plain,
% 163.32/163.05 (P24(f333(f63(x128611),f194(f890(x128611,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12865,plain,
% 163.32/163.05 (P24(f333(f63(x128651),f194(f890(x128651,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3392])).
% 163.32/163.05 cnf(12868,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128681),x128681))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12874,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x128741),x128741))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12877,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x128771),f333(a117,x128771)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12880,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128801),x128801))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12883,plain,
% 163.32/163.05 (P24(f333(f333(f251(a880),x128831),f333(a117,x128831)))),
% 163.32/163.05 inference(rename_variables,[],[3384])).
% 163.32/163.05 cnf(12898,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x128981),x128981))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12901,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x129011),x129011))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12904,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x129041),x129042),f194(f890(x129041,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12915,plain,
% 163.32/163.05 (P24(f333(f333(f335(x129151),x129152),f258(f890(x129151,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3471])).
% 163.32/163.05 cnf(12921,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x129211,a874)),f333(f173(x129211),f333(f137(x129211,x129212),x129213))),f333(f173(x129211),x129213)))),
% 163.32/163.05 inference(rename_variables,[],[3951])).
% 163.32/163.05 cnf(12927,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x129271),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12928,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x129281),x129281))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12932,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x129321),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12933,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x129331),x129331))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12942,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x129421),x129421))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12949,plain,
% 163.32/163.05 (E(f333(f333(f18(x129491,x129492),x129493),x129494),x129493)),
% 163.32/163.05 inference(rename_variables,[],[3303])).
% 163.32/163.05 cnf(12952,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x129521,a874)),f333(f173(x129521),f171(x129521,x129522,x129523))),f333(f173(x129521),x129523)))),
% 163.32/163.05 inference(rename_variables,[],[4001])).
% 163.32/163.05 cnf(12954,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),f454(f333(x129541,f2(a880)),x129541,f2(a880))),f2(a880)))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,4503,10467,10560,3373,3334,12623,3522,3231,4498,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3016,3018,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,11726,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,12228,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392])).
% 163.32/163.05 cnf(12956,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x129561),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12957,plain,
% 163.32/163.05 (P24(f333(f333(f250(a1),x129571),x129571))),
% 163.32/163.05 inference(rename_variables,[],[3315])).
% 163.32/163.05 cnf(12961,plain,
% 163.32/163.05 (~P24(f333(f333(f251(a880),x129611),f2(a880)))),
% 163.32/163.05 inference(rename_variables,[],[4560])).
% 163.32/163.05 cnf(12966,plain,
% 163.32/163.05 (~P24(f333(f333(f251(f890(a880,a874)),f304(a880,f333(a117,x129661),f333(a117,x129661))),f304(a880,x129662,x129661)))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,4503,10467,10560,3373,3334,12623,3522,3231,4498,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3016,3018,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,11726,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,12228,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483])).
% 163.32/163.05 cnf(12967,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x129671),x129671))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12969,plain,
% 163.32/163.05 (~P24(f333(f333(f250(f890(a880,a874)),f304(a880,f333(a117,x129691),f333(a117,x129691))),f304(a880,x129692,x129691)))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,4503,10467,10560,3373,3334,12623,3522,3231,4498,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3016,3018,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,11726,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,3336,10703,10856,10927,11652,11807,11996,12228,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484])).
% 163.32/163.05 cnf(12970,plain,
% 163.32/163.05 (P24(f333(f333(f250(a880),x129701),x129701))),
% 163.32/163.05 inference(rename_variables,[],[3314])).
% 163.32/163.05 cnf(12973,plain,
% 163.32/163.05 (~P24(f333(f333(f250(a880),f333(a117,x129731)),x129731))),
% 163.32/163.05 inference(rename_variables,[],[4569])).
% 163.32/163.05 cnf(12978,plain,
% 163.32/163.05 (E(x129781,f836(f333(f7(x129782),f333(f7(x129782),x129781)),f7(x129782),x129782,x129782))),
% 163.32/163.05 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,4503,10467,10560,3373,3334,12623,3522,3231,4498,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3016,3018,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,4521,12342,3303,11723,11726,4570,11016,11086,11307,11310,3712,3420,3636,3387,12550,3206,3207,10366,10673,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,4579,10794,11164,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,3751,10967,10973,10988,11923,12134,3612,11190,12160,12272,12282,12350,12401,12409,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632])).
% 163.32/163.05 cnf(12979,plain,
% 163.32/163.05 (P24(f333(f333(f335(x129791),f333(x129792,x129793)),f333(f312(x129794,x129791,x129792),f258(f890(x129794,a874)))))),
% 163.32/163.05 inference(rename_variables,[],[3906])).
% 163.32/163.05 cnf(12980,plain,
% 163.32/163.05 (P21(x129801,x129801,f7(x129801),x129802)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12984,plain,
% 163.32/163.05 (P24(f333(f333(f335(x129841),x129842),f258(f890(x129841,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3471])).
% 163.32/163.05 cnf(12985,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x129851),x129852),f194(f890(x129851,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(12989,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x129891,a874)),x129892),f258(f890(x129891,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3694])).
% 163.32/163.05 cnf(12990,plain,
% 163.32/163.05 (P21(x129901,x129901,f7(x129901),x129902)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12994,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x129941,a874)),x129942),f258(f890(x129941,a874))))),
% 163.32/163.05 inference(rename_variables,[],[3694])).
% 163.32/163.05 cnf(12995,plain,
% 163.32/163.05 (P21(x129951,x129951,f7(x129951),x129952)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(12999,plain,
% 163.32/163.05 (P21(x129991,x129991,f7(x129991),x129992)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(13002,plain,
% 163.32/163.05 (~P24(f333(f333(f251(f890(x130021,a874)),x130022),f194(f890(x130021,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4579])).
% 163.32/163.05 cnf(13005,plain,
% 163.32/163.05 (P21(x130051,x130051,f7(x130051),x130052)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(13008,plain,
% 163.32/163.05 (P21(x130081,x130081,f7(x130081),x130082)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(13011,plain,
% 163.32/163.05 (P24(f333(f333(f335(x130111),x130112),f333(f333(f311(x130111),x130112),x130113)))),
% 163.32/163.05 inference(rename_variables,[],[3625])).
% 163.32/163.05 cnf(13019,plain,
% 163.32/163.05 (P24(f333(f333(f250(f890(x130191,a874)),f194(f890(x130191,a874))),x130192))),
% 163.32/163.05 inference(rename_variables,[],[3753])).
% 163.32/163.05 cnf(13023,plain,
% 163.32/163.05 (E(f333(f259(x130231,x130231),f260(x130231,x130232)),x130232)),
% 163.32/163.05 inference(rename_variables,[],[3270])).
% 163.32/163.05 cnf(13027,plain,
% 163.32/163.05 (~P24(f333(f333(f335(x130271),x130272),f194(f890(x130271,a874))))),
% 163.32/163.05 inference(rename_variables,[],[4572])).
% 163.32/163.05 cnf(13031,plain,
% 163.32/163.05 (P24(f333(f333(f335(x130311),f333(x130312,x130313)),f333(f312(x130314,x130311,x130312),f258(f890(x130314,a874)))))),
% 163.32/163.05 inference(rename_variables,[],[3906])).
% 163.32/163.05 cnf(13032,plain,
% 163.32/163.05 (P21(x130321,x130321,f7(x130321),x130322)),
% 163.32/163.05 inference(rename_variables,[],[3552])).
% 163.32/163.05 cnf(13035,plain,
% 163.32/163.05 (P24(f333(f333(f335(x130351),x130352),f258(f890(x130351,a874))))),
% 163.32/163.06 inference(rename_variables,[],[3471])).
% 163.32/163.06 cnf(13042,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x130421),x130422),f194(f890(x130421,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13045,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x130451),x130452),f194(f890(x130451,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13049,plain,
% 163.32/163.06 (E(f333(f333(f18(x130491,x130492),x130493),x130494),x130493)),
% 163.32/163.06 inference(rename_variables,[],[3303])).
% 163.32/163.06 cnf(13052,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x130521),f333(a117,x130521)))),
% 163.32/163.06 inference(rename_variables,[],[3384])).
% 163.32/163.06 cnf(13053,plain,
% 163.32/163.06 (~E(f333(a117,x130531),x130531)),
% 163.32/163.06 inference(rename_variables,[],[4488])).
% 163.32/163.06 cnf(13056,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x130561),f333(a117,f333(f333(f81(a880),x130562),x130561))))),
% 163.32/163.06 inference(rename_variables,[],[3755])).
% 163.32/163.06 cnf(13057,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x130571),f333(a117,x130571)))),
% 163.32/163.06 inference(rename_variables,[],[3384])).
% 163.32/163.06 cnf(13059,plain,
% 163.32/163.06 (~E(f333(f333(f82(a880),f333(a117,f2(a880))),f34(x130591,x130592)),f333(f333(f82(a880),f333(a117,f2(a880))),f33(x130593,x130594)))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3016,3018,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,4570,11016,11086,11307,11310,3712,3298,3420,3636,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,3757,11618,3296,3396,11738,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,3889,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,4001,11028,12113,12186,12246,12290,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510])).
% 163.32/163.06 cnf(13061,plain,
% 163.32/163.06 (~E(f333(a117,x130611),x130611)),
% 163.32/163.06 inference(rename_variables,[],[4488])).
% 163.32/163.06 cnf(13066,plain,
% 163.32/163.06 (P24(f333(f333(f250(a1),f2(a1)),f333(f105(a1),x130661)))),
% 163.32/163.06 inference(rename_variables,[],[3415])).
% 163.32/163.06 cnf(13069,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f2(a880)),x130691))),
% 163.32/163.06 inference(rename_variables,[],[3336])).
% 163.32/163.06 cnf(13070,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x130701),x130701))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13073,plain,
% 163.32/163.06 (~E(f333(a117,x130731),f2(a880))),
% 163.32/163.06 inference(rename_variables,[],[4498])).
% 163.32/163.06 cnf(13078,plain,
% 163.32/163.06 (P24(f333(f333(f335(x130781),x130782),f258(f890(x130781,a874))))),
% 163.32/163.06 inference(rename_variables,[],[3471])).
% 163.32/163.06 cnf(13082,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x130821),x130822),f194(f890(x130821,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13085,plain,
% 163.32/163.06 (P24(f333(f63(a880),f306(a880,x130851,x130852)))),
% 163.32/163.06 inference(rename_variables,[],[3525])).
% 163.32/163.06 cnf(13086,plain,
% 163.32/163.06 (E(f333(f333(f248(a880),f333(a117,x130861)),f333(a117,x130862)),f333(a117,f333(f333(f248(a880),x130861),x130862)))),
% 163.32/163.06 inference(rename_variables,[],[3487])).
% 163.32/163.06 cnf(13089,plain,
% 163.32/163.06 (P24(f333(f63(a880),f306(a880,x130891,x130892)))),
% 163.32/163.06 inference(rename_variables,[],[3525])).
% 163.32/163.06 cnf(13090,plain,
% 163.32/163.06 (E(f333(f333(f249(a880),f333(a117,x130901)),f333(a117,x130902)),f333(a117,f333(f333(f249(a880),x130901),x130902)))),
% 163.32/163.06 inference(rename_variables,[],[3488])).
% 163.32/163.06 cnf(13093,plain,
% 163.32/163.06 (P24(f333(f63(a880),f306(a880,x130931,x130932)))),
% 163.32/163.06 inference(rename_variables,[],[3525])).
% 163.32/163.06 cnf(13097,plain,
% 163.32/163.06 (P24(f333(f63(a880),f306(a880,x130971,x130972)))),
% 163.32/163.06 inference(rename_variables,[],[3525])).
% 163.32/163.06 cnf(13101,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x131011,a874)),f333(f173(x131011),f333(f137(x131011,x131012),x131013))),f333(f173(x131011),x131013)))),
% 163.32/163.06 inference(rename_variables,[],[3951])).
% 163.32/163.06 cnf(13102,plain,
% 163.32/163.06 (E(f333(f333(f18(x131021,x131022),x131023),x131024),x131023)),
% 163.32/163.06 inference(rename_variables,[],[3303])).
% 163.32/163.06 cnf(13105,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x131051,a874)),f333(f173(x131051),f333(f333(f174(x131051),x131052),x131053))),f333(f173(x131051),x131053)))),
% 163.32/163.06 inference(rename_variables,[],[3996])).
% 163.32/163.06 cnf(13106,plain,
% 163.32/163.06 (E(f333(f333(f18(x131061,x131062),x131063),x131064),x131063)),
% 163.32/163.06 inference(rename_variables,[],[3303])).
% 163.32/163.06 cnf(13110,plain,
% 163.32/163.06 (E(f333(f333(f18(x131101,x131102),x131103),x131104),x131103)),
% 163.32/163.06 inference(rename_variables,[],[3303])).
% 163.32/163.06 cnf(13123,plain,
% 163.32/163.06 (P24(f333(f333(f250(a1),f2(a1)),f333(f105(a1),x131231)))),
% 163.32/163.06 inference(rename_variables,[],[3415])).
% 163.32/163.06 cnf(13126,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x131261),x131262),f194(f890(x131261,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13129,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x131291),x131292),f194(f890(x131291,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13130,plain,
% 163.32/163.06 (E(f333(f259(x131301,x131301),f260(x131301,x131302)),x131302)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13131,plain,
% 163.32/163.06 (P21(x131311,x131311,f7(x131311),x131312)),
% 163.32/163.06 inference(rename_variables,[],[3552])).
% 163.32/163.06 cnf(13135,plain,
% 163.32/163.06 (E(f333(f259(x131351,x131351),f260(x131351,x131352)),x131352)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13141,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x131411),f333(a117,x131411)))),
% 163.32/163.06 inference(rename_variables,[],[3384])).
% 163.32/163.06 cnf(13143,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x131431),x131431))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13144,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f2(a880)),x131441))),
% 163.32/163.06 inference(rename_variables,[],[3336])).
% 163.32/163.06 cnf(13147,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x131471),f333(a117,x131471)))),
% 163.32/163.06 inference(rename_variables,[],[3384])).
% 163.32/163.06 cnf(13149,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x131491),x131491))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13150,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f2(a880)),x131501))),
% 163.32/163.06 inference(rename_variables,[],[3336])).
% 163.32/163.06 cnf(13154,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f2(a880)),x131541))),
% 163.32/163.06 inference(rename_variables,[],[3336])).
% 163.32/163.06 cnf(13155,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),f2(a880)),f333(a117,x131551)))),
% 163.32/163.06 inference(rename_variables,[],[3396])).
% 163.32/163.06 cnf(13156,plain,
% 163.32/163.06 (E(f333(f259(x131561,x131561),f260(x131561,x131562)),x131562)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13159,plain,
% 163.32/163.06 (P24(f333(f49(f333(f259(x131591,x131591),f260(x131591,f333(f333(f81(a880),f333(f333(f82(a880),f333(f262(a880,a880),f333(f333(f263(a880,a880),f2(a880)),x131592))),f333(a117,f333(f333(f81(a880),x131593),f333(f271(a880,a880),f333(f333(f263(a880,a880),f2(a880)),x131592)))))),f333(f271(a880,a880),f333(f333(f263(a880,a880),f2(a880)),x131592))))),f333(a117,f333(f333(f81(a880),x131593),f333(f271(a880,a880),f333(f333(f263(a880,a880),f2(a880)),x131592))))),f333(f333(f263(a880,a880),f2(a880)),x131592)))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268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13,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846])).
% 163.32/163.06 cnf(13175,plain,
% 163.32/163.06 (E(f333(f333(f81(a880),f2(a880)),f844(f333(a117,f2(a880)),f2(a880))),f2(a880))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682])).
% 163.32/163.06 cnf(13229,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f2(a1)),f333(f76(a1),f79(a1))))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694])).
% 163.32/163.06 cnf(13249,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f333(a117,f333(f333(f81(a880),x132491),x132492))),f333(a117,x132492)))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694,5695,5720,5721,5725,5778,5784,5786,5795,5801,5873])).
% 163.32/163.06 cnf(13255,plain,
% 163.32/163.06 (~E(f333(f188(x132551,f890(x132552,a874),x132553,f194(f890(x132551,a874))),x132554),f333(f242(f890(x132552,a874)),f333(f333(f44(f46(a1,x132555,x132555),f890(x132552,a874)),x132556),a117)))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694,5695,5720,5721,5725,5778,5784,5786,5795,5801,5873,5950,6015,6078])).
% 163.32/163.06 cnf(13259,plain,
% 163.32/163.06 (~P24(f333(f63(x132591),f41(f890(x132591,a874),f258(f890(f890(x132591,a874),a874)))))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694,5695,5720,5721,5725,5778,5784,5786,5795,5801,5873,5950,6015,6078,6101,6267])).
% 163.32/163.06 cnf(13273,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f2(a880)),f194(a880)))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3211,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694,5695,5720,5721,5725,5778,5784,5786,5795,5801,5873,5950,6015,6078,6101,6267,6386,6537,6739,6740,6881,6945,6985])).
% 163.32/163.06 cnf(13304,plain,
% 163.32/163.06 (~E(f333(a117,x133041),x133041)),
% 163.32/163.06 inference(rename_variables,[],[4488])).
% 163.32/163.06 cnf(13340,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(a117,f2(a880))),f333(f333(f3(a880),f333(f333(f81(a880),x133401),f2(a880))),f333(f333(f81(a880),x133401),f2(a880)))))),
% 163.32/163.06 inference(scs_inference,[],[4588,3552,11081,12116,12216,12311,12346,12354,12367,12422,12568,12570,12980,12990,12995,12999,13005,13008,13032,13131,3562,12180,12562,12564,3563,12250,3280,12617,12619,3281,12610,3249,12495,4522,4523,11700,4249,12635,12638,3284,12580,3123,3143,12646,3186,12576,4506,3614,4488,10242,10245,10255,10266,10374,10377,10380,10483,10596,10902,11066,11069,11267,11357,11364,11378,11428,11431,11538,11585,11601,11902,11927,11939,11971,12069,12176,12183,12338,12392,12528,12651,12801,13053,13061,13304,4503,10467,10560,3373,3334,12623,3522,3231,4498,12719,13073,2906,2907,2913,2914,2920,2921,2925,2926,2928,2931,2932,2934,2944,2947,2950,2953,2954,2962,2965,2967,2968,2970,2971,2973,2974,2975,2977,2978,2984,2985,2991,2994,3005,3006,3016,3018,3019,3025,3027,3028,3031,3033,3034,3047,3048,3054,3055,3057,3058,3059,3078,3085,4483,3102,3185,4484,3651,3156,11354,3294,3357,3267,3270,10239,10248,10309,10312,10401,10404,10697,11369,11372,11483,11525,11530,11630,12090,12287,12475,12530,12538,12544,12546,12552,12556,12558,12560,12585,12602,12855,13023,13130,13135,13156,3637,3881,3244,11627,12370,12374,12378,3255,3769,11013,11633,4069,3145,3146,3966,4500,4510,3857,11404,3372,12604,3209,3211,3680,3177,3687,12592,3172,3974,3192,3692,3154,3155,3133,3160,3191,3327,12061,12206,12425,12498,3376,10849,12177,3242,3243,3265,10508,3419,4578,10437,3939,4512,10300,10464,11264,12334,12371,12375,4521,12342,3303,11723,11726,12949,13049,13102,13106,13110,4570,11016,11086,11307,11310,3712,3218,3298,3420,3636,3412,3387,12550,3206,3207,10366,10673,4554,3476,3199,3124,3227,11394,4082,12357,12487,3942,11022,11148,11199,12321,12327,12436,12439,12462,4593,10954,11153,11258,11280,11315,11321,12266,4594,11055,11156,11261,4595,11159,11210,4596,11213,4597,3226,3515,12219,12263,12341,3676,4370,4371,3497,3616,3654,3824,3584,12838,12842,12846,12850,12860,3867,12213,3500,3746,3384,10385,10503,10574,10635,10638,10676,10770,11006,11898,11961,12037,12081,12142,12145,12466,12657,12715,12746,12758,12800,12821,12877,12883,13052,13057,13141,13147,3757,11618,3296,3396,11738,12650,13155,3578,4560,10277,10280,10306,10778,10791,10912,11330,11397,11787,11795,12013,12016,12107,12269,12361,12662,12665,12682,12685,12707,12759,12927,12932,12956,12961,4574,11502,11533,11568,11598,12768,12772,3744,3524,3525,12688,12691,12694,12697,12727,12730,13085,13089,13093,13097,3526,3889,3487,13086,3488,13090,3342,3343,3317,4557,3205,4508,3703,4219,4007,3507,4577,4076,11275,3635,3356,11747,11750,12187,12291,12446,4046,4006,11891,12234,3951,10846,12049,12075,12247,12469,12921,13101,3996,13105,4001,11028,12113,12186,12246,12290,12952,4002,3677,11901,12044,12121,12167,4035,3694,11025,11091,11172,11232,12068,12135,12387,12459,12472,12989,12994,4579,10794,11164,13002,3313,10394,10490,10621,10683,11475,11694,11741,11775,11871,11926,12128,12294,12506,3314,10752,10797,10800,10833,10859,10896,10934,10970,11942,11945,11948,11951,12148,12151,12154,12157,12227,12398,12442,12708,12733,12810,12817,12824,12829,12832,12835,12868,12880,12898,12942,12967,12970,13070,13143,13149,3315,10423,10478,10688,10773,10899,11581,11778,11790,11877,11888,11909,11914,11954,11976,11991,12724,12874,12901,12928,12933,12957,3316,3392,12101,12788,12839,12843,12847,12851,12861,12865,4556,10340,10432,10545,10569,10815,10862,10872,11547,11648,11669,11672,11675,11691,11833,11836,11839,11842,11938,11957,11960,11970,12025,12028,12031,12034,12108,12198,12201,12297,12300,12360,12391,12428,12510,3471,10641,10907,10951,11221,11299,11463,11703,12337,12513,12915,12984,13035,13078,4572,10824,10836,10943,10961,10964,11019,11105,11113,11129,11167,11184,11193,11229,11270,11290,11293,11296,11324,11337,11340,11720,11756,12019,12022,12056,12102,12131,12275,12318,12324,12410,12413,12432,12486,12492,12501,12522,12787,12804,12807,12904,12985,13027,13042,13045,13082,13126,13129,3378,10670,10700,10709,11250,11802,12429,12443,12769,12773,12776,3415,13066,13123,3409,3828,3766,10343,11621,11651,12751,4569,10297,10664,10667,11108,11126,11584,11639,11683,11704,11808,11845,11848,11851,11854,12973,3336,10703,10856,10927,11652,11807,11996,12228,12797,13069,13144,13150,13154,3788,11753,12704,3530,4567,3799,3835,4546,4548,4549,3287,3288,4547,4550,4551,4591,4304,3807,3625,11614,13011,4227,11482,4581,10271,10274,10526,10577,10580,10585,10993,11457,11707,11811,4592,11187,11304,11346,4013,12258,3906,11343,11678,11682,11744,12345,12353,12435,12718,12979,13031,3751,10967,10973,10988,11923,12134,12406,3612,11190,12160,12272,12282,12350,12401,12409,12519,3649,4080,3753,10706,11044,11196,11226,11237,12072,12240,12349,12395,13019,3581,10627,10630,10712,10886,3580,4584,11615,4580,12672,4585,10763,10865,11175,11327,11460,11488,12222,12231,12278,12456,4181,10839,12243,12255,12281,4088,3787,12525,3732,3733,4582,10319,10322,10658,10661,11499,11679,12465,4583,11595,11688,3755,10624,10883,13056,4020,4589,4611,4616,4623,4639,4688,4690,4719,4736,4743,4744,4783,4813,4819,4902,4927,4928,4988,4989,5011,5012,5025,5029,5051,5058,5075,5078,5079,5080,5085,5086,5107,5132,5133,5143,5153,5198,5199,5207,5217,5221,5223,5233,5235,5241,5245,5246,5261,5268,5271,5272,5273,5277,5314,5327,5334,5336,5337,5341,5342,5343,5351,5354,5358,5359,5360,5367,5371,5372,5373,5381,5385,5386,5387,5392,5405,5414,5426,5428,5436,5437,5441,5445,5470,5476,5486,5487,5502,5512,5534,5540,5556,5557,5560,5579,5587,5588,5593,5594,5604,5605,5619,5623,5632,5633,5635,5650,5655,5665,5666,5678,5685,5699,5703,5706,5712,5713,5714,5717,5722,5759,5760,5763,5765,5768,5769,5770,5772,5774,5776,5781,5788,5803,5817,5822,5823,5836,5837,5842,5846,5848,5853,5894,5906,5915,5919,5930,5933,5934,5942,5956,5962,5980,5983,5995,6022,6036,6061,6081,6082,6085,6100,6102,6103,6105,6118,6119,6122,6124,6127,6128,6140,6146,6147,6148,6152,6154,6192,6193,6198,6201,6210,6246,6248,6250,6252,6261,6263,6265,6271,6273,6279,6282,6290,6297,6298,6299,6303,6325,6326,6327,6329,6335,6338,6374,6375,6379,6380,6381,6382,6383,6384,6385,6392,6425,6426,6435,6456,6457,6476,6479,6490,6491,6497,6522,6524,6540,6577,6580,6581,6634,6659,6701,6721,6730,6731,6732,6733,6752,6753,6759,6766,6769,6771,6773,6774,6775,6777,6791,6802,6804,6805,6816,6819,6869,6880,6882,6886,6901,6902,6938,6951,6982,7001,7016,7070,7097,7152,7173,7182,7185,7240,7250,7304,7306,7314,7322,7325,7326,7345,7351,7353,7401,7411,7414,7430,7479,7480,7484,7527,7528,7546,7610,7629,7652,7674,7688,7704,7714,7722,7723,7752,7755,7757,7767,7805,7817,7842,7895,7925,7956,8002,8018,8034,8035,8116,8170,8189,8212,8231,8255,8350,8352,8358,8376,8380,8396,8415,8426,8428,8445,8451,8455,8478,8490,8491,8506,8508,8517,8518,8519,8520,8521,8539,8540,8541,8549,8563,8564,8576,8580,8582,8583,8584,8592,8596,8624,8625,8649,8662,8665,8682,8704,8705,8706,8719,8720,8721,8742,8753,8762,8763,8764,8765,8767,8789,8790,8803,8848,8854,8861,8874,8879,8881,8884,8885,8890,8899,8978,9009,9010,9011,9026,9038,9042,9063,9064,9111,9114,9143,9190,9191,9192,9205,9230,9244,9250,9253,9278,9279,9307,9374,9402,9403,9404,9429,9430,9446,9464,9470,9493,9522,9544,9552,9553,9554,9555,9568,9570,9575,9614,9615,9621,9622,9670,9671,9703,9712,9722,9724,9725,9734,9753,9763,9794,9823,9828,9880,9918,9919,9920,9929,9930,9935,9949,9968,9973,9985,10037,10115,10116,10202,10223,2,8,9,4626,4627,4645,4676,4677,4679,4707,4713,4714,4723,4772,4774,4804,4818,4848,4942,4943,4956,4976,5032,5033,5036,5037,5039,5041,5042,5054,5055,5065,5076,5077,5083,5102,5103,5120,5125,5126,5127,5128,5131,5139,5142,5148,5213,5219,5220,5227,5258,5269,5275,5293,5313,5320,5321,5322,5331,5340,5347,5349,5350,5356,5363,5364,5377,5378,5379,5380,5382,5383,5388,5389,5390,5391,5422,5423,5424,5432,5433,5434,5435,5481,5483,5485,5519,5521,5522,5524,5525,5527,5528,5530,5539,5544,5546,5547,5548,5549,5550,5551,5558,5568,5571,5582,5598,5599,5602,5613,5615,5616,5617,5642,5652,5668,5669,5679,5680,5682,5684,5689,5724,5728,5730,5790,5824,5825,5829,5835,5838,5839,5840,5841,5847,5858,5859,5861,5862,5870,5891,5922,5937,5940,5941,5943,5952,5973,5974,5975,5978,5979,5997,6008,6009,6038,6039,6043,6063,6066,6070,6089,6094,6095,6120,6123,6131,6139,6145,6151,6158,6159,6160,6161,6195,6211,6264,6300,6301,6322,6323,6328,6331,6332,6336,6340,6349,6367,6387,6388,6393,6403,6418,6438,6444,6446,6461,6462,6464,6465,6467,6469,6470,6471,6473,6475,6478,6484,6485,6486,6487,6493,6495,6534,6539,6554,6555,6556,6557,6592,6597,6599,6604,6605,6613,6617,6630,6655,6656,6657,6658,6669,6674,6691,6695,6714,6747,6748,6749,6754,6762,6783,6785,6787,6789,6792,6798,6800,6813,6820,6855,6858,6859,6872,6873,6874,6875,6891,6893,6910,6936,6959,6970,6972,6973,6975,6977,6978,7013,7014,7019,7020,7021,7022,7024,7026,7051,7060,7061,7072,7082,7121,7131,7135,7142,7153,7154,7159,7161,7167,7175,7176,7189,7206,7224,7226,7243,7289,7291,7292,7293,7300,7305,7321,7365,7398,7412,7429,7462,7465,7488,7512,7529,7532,7533,7543,7560,7561,7563,7565,7567,7569,7593,7618,7619,7651,7653,7654,7655,7660,7680,7689,7700,7705,7711,7713,7719,7730,7731,7733,7754,7763,7788,7855,7856,7898,7906,7907,7927,7928,7945,7946,8010,8011,8012,8038,8074,8081,8084,8093,8105,8139,8145,8152,8165,8184,8191,8211,8253,8283,8295,8313,8316,8343,8367,8429,8430,8434,8436,8456,8543,8544,8545,8546,8599,8628,8664,8681,8731,8782,8785,8800,8807,8845,8867,8895,8896,8912,8913,9044,9048,9061,9071,9100,9102,9105,9109,9112,9113,9128,9129,9152,9158,9170,9216,9234,9296,9297,9299,9365,9371,9399,9406,9407,9410,9411,9428,9442,9451,9463,9477,9478,9480,9482,9520,9656,9698,9699,9746,9800,9906,9907,9951,10013,10092,10106,10204,3,2635,2637,2638,2639,2642,2643,2644,2646,2653,2661,2663,2664,2668,2669,2670,2672,2678,2679,2683,2690,2691,2697,2699,2700,2702,2703,2704,2705,2707,2708,2712,2714,2718,2720,2727,2728,2730,2731,2733,2736,2737,2738,2746,2747,2748,2754,2765,2766,2767,2776,2777,2778,2782,2786,2787,2788,2806,2807,2810,2811,2812,2819,2821,2830,2847,2850,2851,2852,2861,2863,2864,2866,2867,5250,5312,5408,5494,5495,5496,5569,5667,5698,5731,5747,5749,5755,5818,5819,5820,5821,5827,5860,5992,6037,6060,6097,6137,6280,6287,6320,6321,6339,6342,6344,6351,6352,6353,6354,6355,6356,6357,6358,6440,6507,6508,6590,6624,6625,6666,6667,6799,6812,6883,6884,6888,6911,6934,6942,6944,6992,7017,7018,7034,7035,7036,7071,7115,7116,7213,7271,7272,7273,7274,7288,7315,7370,7371,7380,7386,7388,7400,7432,7433,7434,7435,7573,7574,7580,7581,7583,7585,7796,7798,7799,7815,7853,7922,7963,8021,8043,8044,8062,8123,8224,8293,8294,8296,8328,8392,8393,8464,8483,8484,8485,8486,8632,8839,8863,8864,8944,8958,9012,9013,9117,9162,9185,9217,9258,9449,9735,9928,9974,9976,6055,6423,6424,6510,6525,6526,6933,7151,8558,8589,8775,8970,8971,9035,9036,9309,9310,9311,9312,9523,9817,10102,10186,10187,6492,8383,8384,8828,8846,9818,10185,4680,4682,4683,4737,4745,4880,4896,4897,4925,4926,4955,5010,5072,5129,5178,5206,5242,5244,5251,5253,5254,5280,5355,5376,5510,5574,5575,5576,5694,5695,5720,5721,5725,5778,5784,5786,5795,5801,5873,5950,6015,6078,6101,6267,6386,6537,6739,6740,6881,6945,6985,7157,7372,7441,7772,7773,7864,7936,7938,7939,8019,8783,9039,9275,9558,4910,4957,5096,5954,6017,6030,6051,6065,6319,6742,7132,7331,7397,7474,7758])).
% 163.32/163.06 cnf(13396,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(f881(x133961),f881(x133961))),f333(f333(f263(f881(x133961),f881(x133961)),f118(x133961)),x133962)),f158(x133961,x133963)))),
% 163.32/163.06 inference(rename_variables,[],[4597])).
% 163.32/163.06 cnf(13399,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x133991,a874)),f333(f173(x133991),f171(x133991,x133992,x133993))),f333(f173(x133991),x133993)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(13402,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x134021),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13405,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x134051),x134052)),x134051))),
% 163.32/163.06 inference(rename_variables,[],[4583])).
% 163.32/163.06 cnf(13410,plain,
% 163.32/163.06 (~P37(x134101,x134102,x134103,f333(f333(f155(x134104,x134101),x134105),f333(a117,f118(x134104))),f118(x134102))),
% 163.32/163.06 inference(rename_variables,[],[11201])).
% 163.32/163.06 cnf(13413,plain,
% 163.32/163.06 (E(f333(f259(x134131,x134131),f260(x134131,x134132)),x134132)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13416,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x134161,x134161)),x134162),f260(x134161,f194(f890(x134161,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13428,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x134281),x134282)),x134281))),
% 163.32/163.06 inference(rename_variables,[],[4583])).
% 163.32/163.06 cnf(13436,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(a117,x134361)),x134361))),
% 163.32/163.06 inference(rename_variables,[],[4569])).
% 163.32/163.06 cnf(13448,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x134481),f333(f333(f82(a880),x134481),x134481)))),
% 163.32/163.06 inference(rename_variables,[],[3581])).
% 163.32/163.06 cnf(13451,plain,
% 163.32/163.06 (P24(f333(f333(f335(x134511),f333(x134512,x134513)),f333(f312(x134514,x134511,x134512),f258(f890(x134514,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[3906])).
% 163.32/163.06 cnf(13454,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x134541),f79(a1))),x134541))),
% 163.32/163.06 inference(rename_variables,[],[10772])).
% 163.32/163.06 cnf(13475,plain,
% 163.32/163.06 (P24(f333(f333(f335(x134751),f333(x134752,x134753)),f333(f312(x134754,x134751,x134752),f258(f890(x134754,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[3906])).
% 163.32/163.06 cnf(13480,plain,
% 163.32/163.06 (~E(f333(a117,x134801),f2(a880))),
% 163.32/163.06 inference(rename_variables,[],[4498])).
% 163.32/163.06 cnf(13483,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x134831),f79(a1))),x134831))),
% 163.32/163.06 inference(rename_variables,[],[10772])).
% 163.32/163.06 cnf(13486,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x134861),x134862),f194(f890(x134861,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13491,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x134911),x134911))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13500,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x135001),f333(f333(f81(a880),x135001),x135002)))),
% 163.32/163.06 inference(rename_variables,[],[3580])).
% 163.32/163.06 cnf(13509,plain,
% 163.32/163.06 (E(f333(x135091,f557(f333(x135091,x135092),f333(f242(x135093),x135092),x135091,x135094,x135093)),f333(x135091,x135092))),
% 163.32/163.06 inference(rename_variables,[],[11139])).
% 163.32/163.06 cnf(13518,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x135181),f333(a117,f333(f333(f81(a880),x135182),x135181))))),
% 163.32/163.06 inference(rename_variables,[],[3755])).
% 163.32/163.06 cnf(13521,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),x135211),x135211))),
% 163.32/163.06 inference(rename_variables,[],[4556])).
% 163.32/163.06 cnf(13524,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),x135241),f333(f333(f106(a880),x135241),x135242)))),
% 163.32/163.06 inference(rename_variables,[],[12027])).
% 163.32/163.06 cnf(13529,plain,
% 163.32/163.06 (~E(f333(f333(f152(x135291),x135292),x135293),x135293)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13532,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x135321,x135321)),x135322),f260(x135321,f194(f890(x135321,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13543,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x135431,a874)),x135432),x135432))),
% 163.32/163.06 inference(rename_variables,[],[3612])).
% 163.32/163.06 cnf(13546,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(a117,x135461)),x135461))),
% 163.32/163.06 inference(rename_variables,[],[4569])).
% 163.32/163.06 cnf(13549,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f46(a880,x135491,x135492)),x135491))),
% 163.32/163.06 inference(rename_variables,[],[3766])).
% 163.32/163.06 cnf(13556,plain,
% 163.32/163.06 (P24(f333(f333(f335(x135561),f333(x135562,x135563)),f333(f312(x135564,x135561,x135562),f258(f890(x135564,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[3906])).
% 163.32/163.06 cnf(13577,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x135771),x135772),f194(f890(x135771,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13596,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x135961,x135961)),x135962),f260(x135961,f194(f890(x135961,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13599,plain,
% 163.32/163.06 (~E(f333(f333(f152(x135991),x135992),x135993),x135993)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13602,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x136021),x136021))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13615,plain,
% 163.32/163.06 (E(f333(f333(f127(x136151),x136152),f118(x136151)),x136152)),
% 163.32/163.06 inference(rename_variables,[],[3244])).
% 163.32/163.06 cnf(13618,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x136181,a874)),x136182),f333(f333(f311(x136181),x136183),x136182)))),
% 163.32/163.06 inference(rename_variables,[],[3751])).
% 163.32/163.06 cnf(13623,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x136231),f333(f333(f82(a880),x136231),x136231)))),
% 163.32/163.06 inference(rename_variables,[],[3581])).
% 163.32/163.06 cnf(13626,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x136261,a874)),x136262),x136262))),
% 163.32/163.06 inference(rename_variables,[],[3612])).
% 163.32/163.06 cnf(13642,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x136421,a874)),x136422),f333(f333(f115(f890(x136421,a874)),x136423),f258(f890(x136421,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[11171])).
% 163.32/163.06 cnf(13649,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x136491,a874)),x136492),x136492))),
% 163.32/163.06 inference(rename_variables,[],[3612])).
% 163.32/163.06 cnf(13652,plain,
% 163.32/163.06 (~E(f333(f333(f311(x136521),x136522),x136523),f194(f890(x136521,a874)))),
% 163.32/163.06 inference(rename_variables,[],[4543])).
% 163.32/163.06 cnf(13657,plain,
% 163.32/163.06 (P24(f333(f333(f335(x136571),f333(x136572,x136573)),f333(f312(x136574,x136571,x136572),f258(f890(x136574,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[3906])).
% 163.32/163.06 cnf(13660,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x136601,x136601)),x136602),f260(x136601,f194(f890(x136601,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13674,plain,
% 163.32/163.06 (P37(x136741,x136742,x136743,f333(f333(f155(x136744,x136741),x136745),f119(x136744,f118(x136744))),f118(x136742))),
% 163.32/163.06 inference(rename_variables,[],[11205])).
% 163.32/163.06 cnf(13677,plain,
% 163.32/163.06 (~E(f333(f333(f152(x136771),x136772),x136773),x136773)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13680,plain,
% 163.32/163.06 (~P24(f333(f333(f194(f890(x136801,f890(x136802,a874))),x136803),x136804))),
% 163.32/163.06 inference(rename_variables,[],[4585])).
% 163.32/163.06 cnf(13683,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x136831),x136832),f194(f890(x136831,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13690,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x136901),x136902),f333(f313(x136901,x136903,x136904),f194(f890(x136903,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10963])).
% 163.32/163.06 cnf(13693,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x136931,a874)),f333(f173(x136931),f171(x136931,x136932,x136933))),f333(f173(x136931),x136933)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(13696,plain,
% 163.32/163.06 (~E(f333(f333(f152(x136961),x136962),x136963),x136963)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13699,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x136991),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13711,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x137111),x137111))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13714,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x137141),f79(a1))),x137141))),
% 163.32/163.06 inference(rename_variables,[],[10772])).
% 163.32/163.06 cnf(13717,plain,
% 163.32/163.06 (~P24(f333(f333(f194(f890(x137171,f890(x137172,a874))),x137173),x137174))),
% 163.32/163.06 inference(rename_variables,[],[4585])).
% 163.32/163.06 cnf(13722,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x137221),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13725,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x137251),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13728,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x137281),f333(f333(f82(a880),x137281),x137281)))),
% 163.32/163.06 inference(rename_variables,[],[3581])).
% 163.32/163.06 cnf(13739,plain,
% 163.32/163.06 (~P37(x137391,x137392,x137393,f333(f333(f155(x137394,x137391),x137395),f333(a117,f118(x137394))),f118(x137392))),
% 163.32/163.06 inference(rename_variables,[],[11201])).
% 163.32/163.06 cnf(13744,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x137441),f333(f333(f81(a880),x137441),x137442)))),
% 163.32/163.06 inference(rename_variables,[],[3580])).
% 163.32/163.06 cnf(13747,plain,
% 163.32/163.06 (~P24(f333(f333(f194(f890(x137471,f890(x137472,a874))),x137473),x137474))),
% 163.32/163.06 inference(rename_variables,[],[4585])).
% 163.32/163.06 cnf(13754,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x137541,x137541)),x137542),f260(x137541,f194(f890(x137541,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13763,plain,
% 163.32/163.06 (E(f333(f259(x137631,x137631),f260(x137631,x137632)),x137632)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13766,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x137661),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13785,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x137851),f79(a1))),x137851))),
% 163.32/163.06 inference(rename_variables,[],[10772])).
% 163.32/163.06 cnf(13799,plain,
% 163.32/163.06 (P24(f333(f333(f335(f889(x137991,x137991)),f333(f333(f263(x137991,x137991),x137992),x137992)),f309(x137991,x137993)))),
% 163.32/163.06 inference(rename_variables,[],[3942])).
% 163.32/163.06 cnf(13809,plain,
% 163.32/163.06 (P24(f333(f333(f251(a1),f333(f333(f3(a1),x138091),f79(a1))),x138091))),
% 163.32/163.06 inference(rename_variables,[],[10772])).
% 163.32/163.06 cnf(13814,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x138141),x138142),f194(f890(x138141,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13817,plain,
% 163.32/163.06 (~E(f333(f333(f152(x138171),x138172),x138173),x138173)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13826,plain,
% 163.32/163.06 (~P24(f333(f333(f194(f890(x138261,f890(x138262,a874))),x138263),x138264))),
% 163.32/163.06 inference(rename_variables,[],[4585])).
% 163.32/163.06 cnf(13833,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x138331),x138332),f194(f890(x138331,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13838,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(f881(x138381),f881(x138381))),f333(f333(f263(f881(x138381),f881(x138381)),x138382),f118(x138381))),f158(x138381,x138383)))),
% 163.32/163.06 inference(rename_variables,[],[4595])).
% 163.32/163.06 cnf(13841,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x138411),x138412)),x138411))),
% 163.32/163.06 inference(rename_variables,[],[4583])).
% 163.32/163.06 cnf(13848,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x138481,a874)),f333(f173(x138481),f171(x138481,x138482,x138483))),f333(f173(x138481),x138483)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(13857,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x138571),x138572),f194(f890(x138571,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13866,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x138661,x138661)),x138662),f260(x138661,f194(f890(x138661,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(13874,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x138741),f333(f333(f81(a880),x138741),x138742)))),
% 163.32/163.06 inference(rename_variables,[],[3580])).
% 163.32/163.06 cnf(13879,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x138791),f333(f333(f82(a880),x138791),x138791)))),
% 163.32/163.06 inference(rename_variables,[],[3581])).
% 163.32/163.06 cnf(13889,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x138891),x138892),f333(f313(x138891,x138893,x138894),f194(f890(x138893,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10963])).
% 163.32/163.06 cnf(13892,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x138921),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13895,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x138951,a874)),f333(f173(x138951),f171(x138951,x138952,x138953))),f333(f173(x138951),x138953)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(13902,plain,
% 163.32/163.06 (~P24(f333(f333(f251(a880),f333(f333(f81(a880),x139021),x139022)),x139021))),
% 163.32/163.06 inference(rename_variables,[],[4583])).
% 163.32/163.06 cnf(13907,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x139071),x139072),f194(f890(x139071,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(13910,plain,
% 163.32/163.06 (E(f333(x139101,f557(f333(x139101,x139102),f333(f242(x139103),x139102),x139101,x139104,x139103)),f333(x139101,x139102))),
% 163.32/163.06 inference(rename_variables,[],[11139])).
% 163.32/163.06 cnf(13919,plain,
% 163.32/163.06 (~E(f333(f333(f152(x139191),x139192),x139193),x139193)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13934,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x139341),f333(f333(f81(a880),x139341),x139342)))),
% 163.32/163.06 inference(rename_variables,[],[3580])).
% 163.32/163.06 cnf(13945,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x139451,a874)),f333(f173(x139451),f171(x139451,x139452,x139453))),f333(f173(x139451),x139453)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(13952,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(f333(f82(a880),f333(a117,x139521)),f333(a117,x139521))),x139521))),
% 163.32/163.06 inference(rename_variables,[],[10711])).
% 163.32/163.06 cnf(13958,plain,
% 163.32/163.06 (E(f333(f259(x139581,x139581),f260(x139581,x139582)),x139582)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(13967,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(f333(f82(a880),f333(a117,x139671)),f333(a117,x139671))),x139671))),
% 163.32/163.06 inference(rename_variables,[],[10711])).
% 163.32/163.06 cnf(13973,plain,
% 163.32/163.06 (~P24(f333(f333(f335(a880),x139731),f333(f256(a880),f2(a880))))),
% 163.32/163.06 inference(rename_variables,[],[11768])).
% 163.32/163.06 cnf(13980,plain,
% 163.32/163.06 (~E(f333(f333(f152(x139801),x139802),x139803),x139803)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(13986,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x139861,x139861)),x139862),f154(x139861,f118(f890(x139861,a880)))))),
% 163.32/163.06 inference(rename_variables,[],[12089])).
% 163.32/163.06 cnf(13989,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x139891),x139891))),
% 163.32/163.06 inference(rename_variables,[],[3314])).
% 163.32/163.06 cnf(13996,plain,
% 163.32/163.06 (E(f333(x139961,f557(f333(x139961,x139962),f333(f242(x139963),x139962),x139961,x139964,x139963)),f333(x139961,x139962))),
% 163.32/163.06 inference(rename_variables,[],[11139])).
% 163.32/163.06 cnf(13999,plain,
% 163.32/163.06 (E(f333(f333(f127(x139991),x139992),f118(x139991)),x139992)),
% 163.32/163.06 inference(rename_variables,[],[3244])).
% 163.32/163.06 cnf(14005,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),x140051),f333(f333(f82(a880),x140051),x140051)))),
% 163.32/163.06 inference(rename_variables,[],[3581])).
% 163.32/163.06 cnf(14008,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x140081,a874)),x140082),x140082))),
% 163.32/163.06 inference(rename_variables,[],[3612])).
% 163.32/163.06 cnf(14033,plain,
% 163.32/163.06 (P24(f333(f333(f250(a880),f2(a880)),x140331))),
% 163.32/163.06 inference(rename_variables,[],[3336])).
% 163.32/163.06 cnf(14040,plain,
% 163.32/163.06 (P24(f333(f333(f250(a1),x140401),x140401))),
% 163.32/163.06 inference(rename_variables,[],[3315])).
% 163.32/163.06 cnf(14059,plain,
% 163.32/163.06 (~E(f333(f333(f152(x140591),x140592),x140593),x140593)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(14075,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x140751),f333(f333(f82(a880),f333(a117,x140751)),f333(a117,x140751))))),
% 163.32/163.06 inference(rename_variables,[],[10626])).
% 163.32/163.06 cnf(14088,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(a117,x140881)),x140881))),
% 163.32/163.06 inference(rename_variables,[],[4569])).
% 163.32/163.06 cnf(14093,plain,
% 163.32/163.06 (~E(f333(f333(f106(a880),f333(a117,x140931)),x140931),f333(a117,x140931))),
% 163.32/163.06 inference(rename_variables,[],[11518])).
% 163.32/163.06 cnf(14106,plain,
% 163.32/163.06 (~P24(f333(f333(f250(a880),f333(a117,x141061)),x141061))),
% 163.32/163.06 inference(rename_variables,[],[4569])).
% 163.32/163.06 cnf(14109,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x141091),x141092),f333(f313(x141091,x141093,x141094),f194(f890(x141093,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10963])).
% 163.32/163.06 cnf(14135,plain,
% 163.32/163.06 (E(f333(x141351,f557(f333(x141351,x141352),f333(f242(x141353),x141352),x141351,x141354,x141353)),f333(x141351,x141352))),
% 163.32/163.06 inference(rename_variables,[],[11139])).
% 163.32/163.06 cnf(14138,plain,
% 163.32/163.06 (~E(f333(f333(f152(x141381),x141382),x141383),x141383)),
% 163.32/163.06 inference(rename_variables,[],[4512])).
% 163.32/163.06 cnf(14145,plain,
% 163.32/163.06 (P24(f333(f333(f250(f890(x141451,a874)),f333(f173(x141451),f171(x141451,x141452,x141453))),f333(f173(x141451),x141453)))),
% 163.32/163.06 inference(rename_variables,[],[4001])).
% 163.32/163.06 cnf(14151,plain,
% 163.32/163.06 (E(f333(x141511,f557(f333(x141511,x141512),f333(f242(x141513),x141512),x141511,x141514,x141513)),f333(x141511,x141512))),
% 163.32/163.06 inference(rename_variables,[],[11139])).
% 163.32/163.06 cnf(14156,plain,
% 163.32/163.06 (E(f333(f259(x141561,x141561),f260(x141561,x141562)),x141562)),
% 163.32/163.06 inference(rename_variables,[],[3270])).
% 163.32/163.06 cnf(14161,plain,
% 163.32/163.06 (P24(f333(f333(f251(a880),x141611),f333(a117,f333(f333(f81(a880),x141612),x141611))))),
% 163.32/163.06 inference(rename_variables,[],[3755])).
% 163.32/163.06 cnf(14168,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x141681,x141681)),x141682),f260(x141681,f194(f890(x141681,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(14180,plain,
% 163.32/163.06 (~E(f333(f333(f106(a880),f333(a117,x141801)),x141801),f333(a117,x141801))),
% 163.32/163.06 inference(rename_variables,[],[11518])).
% 163.32/163.06 cnf(14183,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x141831),x141832),f194(f890(x141831,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(14202,plain,
% 163.32/163.06 (P24(f333(f333(f335(x142021),f333(x142022,x142023)),f333(f312(x142024,x142021,x142022),f258(f890(x142024,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[3906])).
% 163.32/163.06 cnf(14219,plain,
% 163.32/163.06 (~P24(f333(f333(f335(x142191),x142192),f194(f890(x142191,a874))))),
% 163.32/163.06 inference(rename_variables,[],[4572])).
% 163.32/163.06 cnf(14264,plain,
% 163.32/163.06 (~P24(f333(f333(f194(f890(x142641,f890(x142642,a874))),x142643),x142644))),
% 163.32/163.06 inference(rename_variables,[],[4585])).
% 163.32/163.06 cnf(14291,plain,
% 163.32/163.06 (~P24(f333(f333(f335(f889(x142911,x142911)),x142912),f260(x142911,f194(f890(x142911,a874)))))),
% 163.32/163.06 inference(rename_variables,[],[10960])).
% 163.32/163.06 cnf(14386,plain,
% 163.32/163.06 ($false),
% 163.32/163.06 inference(scs_inference,[],[3343,3342,3744,4046,3889,4082,3102,4584,4546,3314,13491,13602,13711,13989,4574,3317,4557,3942,13799,3392,4593,4547,3409,3757,4572,13486,13577,13683,13814,13833,13857,13907,14183,14219,3396,4001,13399,13693,13848,13895,13945,14145,3906,13451,13475,13556,13657,14202,3787,3419,4503,4498,13480,4578,4512,13529,13599,13677,13696,13817,13919,13980,14059,14138,4591,3296,3951,3315,14040,3766,13549,3336,14033,3751,13618,3612,13543,13626,13649,14008,3753,3581,13448,13623,13728,13879,14005,3580,13500,13744,13874,13934,4181,3755,13518,14161,3270,13413,13763,13958,14156,3881,3244,13615,13999,3155,3676,4594,4595,13838,4597,13396,4556,13521,4569,13436,13546,14088,14106,4585,13680,13717,13747,13826,14264,4582,4583,13405,13428,13841,13902,4589,3522,11518,14093,14180,10326,13059,10595,13255,10382,11953,12723,11828,11870,12954,12451,11334,13229,10566,12239,12230,10626,14075,11876,10610,11542,11071,12453,12489,13159,11171,13642,10914,12224,10772,13454,13483,13714,13785,13809,4310,12512,11236,11195,4361,11139,13509,13910,13996,14135,14151,13175,10308,12978,10947,10441,11312,11284,10716,10557,3348,3254,11137,11218,10997,12966,12969,13249,10729,13273,12164,11920,12271,10293,11766,11768,13402,13699,13722,13725,13766,13892,13973,12721,11125,10960,13416,13532,13596,13660,13754,13866,14168,14291,12089,13986,10963,13690,13889,14109,11166,13340,11239,10711,13952,13967,10814,12027,13524,12048,11289,12508,13259,12421,11201,13410,13739,12071,10975,11205,13674,2910,4543,13652,3858,9,5605,6392,6581,9374,8790,9670,6248,5245,8019,8034,10223,6267,8890,5619,9553,5143,5277,7173,5817,7610,7757,4744,5314,6882,9250,5534,7304,9404,10037,5343,6945,5011,5235,6118,5776,7430,5604,5848,5770,9403,5632,6122,7306,7723,8170,6128,5995,7185,8,5253,6081,8580,8767,8415,7480,5010,5355,5341,5575,5717,8519,8596,2,7956,5233,6490,5587,5354,7755,5906,7157,9230,5873,6327,9724,5713,6061,9930,6869,5079,5336,6732,5512,6102,6775,9880,4736,6279,6380,6777,9712,9307,7864,5373,9470,9554,8002,9446,8649,5351,5803,6198,5772,5786,8018,5080,5426,9522,5078,7182,8428,10116,9552,5576,5556,5703,6733,8576,5635,5768,6753,7351,5261,9192,8624,5337,6740,5557,6375,8518,5273,5360,5836,5956,8116,8742,9753,7097,5725,4616,5781,6771,9253,9429,6335,4927,5387,6476,9464,5206,5540,6805,8506,9042,9734,7936,5712,6580,8189,9621,5272,5633,6819,7688,9823,6791,8861,5441,7345,9064,5574,5837,6085,7805,8583,4688,5436,6015,5934,4880,5778,9614,6193,9929,6246,5714,6902,8352,9205,5678,9009,5012,5254,8884,10115,5271,7411,7325,5980,6759,8212,9828,5051,9794,8763,6951,6201,7527,5133,6731,9935,4683,6152,8978,9026,4623,4690,6298,7016,9063,5759,9275,6127,5072,5706,5894,7546,8789,5385,6273,8753,9011,6374,7314,5560,8541,6252,6435,8765,6659,8539,8584,9703,6739,5665,6384,7528,5251,6303,6491,6766,9244,5246,5666,6119,6773,7353,7722,8764,9985,5392,7479,9568,7925,5510,5623,6082,8508,5801,9575,5367,6147,9920,6100,5342,5405,6881,8376,8426,6383,9570,6124,6379,8719,4896,9615,7240,10202,9918,5502,6105,7629,5774,5788,5915,6886,8517,8625,5760,6192,9278,5763,4955,5199,5207,6457,9191,4682,4819,6774,7674,8396,9493,8445,5930,8035,6730,6265,6524,7441,9671,7704,5178,6497,6804,8451,9973,4813,5371,6425,7817,8521,5223,6154,7484,7752,6290,6456,5822,8879,4743,4988,6210,6426,7001,8704,9544,9555,5132,7401,5058,5085,7070,5823,6537,9430,5280,7842,8380,6263,6938,4928,9038,9919,6103,5842,6329,8231,4783,5358,5942,6752,8848,5933,7152,5795,5950,7895,8762,9949,5784,5437,5244,8592,5721,7372,8582,4611,6146,6479,8549,9114,9622,6250,6282,9143,6386,4737,5198,5445,5470,6022,8705,9279,6802,8491,8720,9190,7322,7326,4719]),
% 163.32/163.06 ['proof']).
% 163.32/163.07 % SZS output end Proof
% 163.32/163.07 % Total time :145.190000s
%------------------------------------------------------------------------------